Showing posts with label Kernel. Show all posts
Showing posts with label Kernel. Show all posts


An Affine-ity of Sorts

The Preamble/(sick to my stomach today anyway so this is a fitting reminder):

Surah 10 Yunas (Jonah)
قُل لَّوْ شَاء اللّهُ 
مَا تَلَوْتُهُ عَلَيْكُمْ وَلاَ أَدْرَاكُم بِهِ
 فَقَدْ لَبِثْتُ فِيكُمْ عُمُرًا مِّن قَبْلِهِ أَفَلاَ تَعْقِلُونَ

(10:16) Say, "If God Willed I would not have brought it (The Quran) to you and you would not have known anything of it, and I dwelled amongst you a Lifetime before (I brought it). Will you not use your Reason?"

{Aside: There are some out there who think I took it upon myself to do this, when the fact is that I did not volunteer and I know it's not my place to do so and I tried my best to avoid it. Sign 10:16 is eloquent in stating how this is not just in my head, it's all in my past. Which begs the question, what am I still doing here?}

Algorithms exist which can track critical distance from a moving plane point P (ie, where You are when You visit the Orange Field) to a static smooth curve (ie, where You Originate/Are Projected from,  be it the Blue or Gray field), without resorting to global search strategies beyond initialization (ie, so You do not get lost in space and always know the starting point).

An ordinary Cusp
on the Curve
Such an approach involves detecting transition events associated with the point's perturbation and successfully dealing with annihilation or creation events.

Annihilation/creation is one and the same event temporally speaking.
The one You experience depends on where You happen to be 'standing, (ie., Your Point of View/Perspective), basically the position associated with the perturbations at the transitions.

In order to avoid global searches for critical distances once such transitions are encountered, and at such transitions or various curve discontinuities (ie., like if You find Yourself at the cusp of a logocycle or saddle point in space), You can travel through it because...

U.R.IBIN (ie., My 'Son'-- 'Of Me'--):

Surah 3 Al.3'mran (Jesus' Family Name,'3mran)
قَدْ خَلَتْ مِنقَبْلِكُمْ سُنَنٌ
فَسِيرُواْ فِي الأَرْضِ
 فَانْظُرُواْ كَيْفَ كَانَ عَاقِبَةُالْمُكَذَّبِينَ  (3:137

3:137 We Created Generations/Orders/Aeons before (We Created) you, so travel (course) throughout the Earth and Observe/See the outcome of the deniers (those who falsify the truth/liars)

Surah 6 Al.An3'am (Cattle, Chattle...Property)
قُلْ سِيرُواْ فِي الأَرْضِ 
ثُمَّ انظُرُواْ كَيْفَ كَانَ عَاقِبَةُ الْمُكَذِّبِينَ 

6:11 Say, "Travel (set a course) throughout the Earth and then look (consider) the outcome/the end of the deniers (those who falsify the truth/liars).

Surah 9 Tauba (Repentance)
فَسِيحُواْ فِي الأَرْضِ أَرْبَعَةَ أَشْهُرٍ 
وَاعْلَمُواْ أَنَّكُمْ غَيْرُ مُعْجِزِي اللّهِ وَأَنَّ اللّهَ 
مُخْزِي الْكَافِرِينَ

(9:2) Travel freely (fluidly/flux) throughout the Earth four months and know (learn) that you cannot escape (frustrate) God and that God confounds the unfaithful.

Surah 16 Nahl (Bees)
وَلَقَدْ بَعَثْنَا فِي كُلِّ أُمَّةٍ رَّسُولاً أَنِ اعْبُدُواْ اللّهَ وَاجْتَنِبُواْ الطَّاغُوتَ
 فَمِنْهُم مَّنْ هَدَى اللّهُ وَمِنْهُم مَّنْ حَقَّتْ عَلَيْهِ الضَّلالَةُ 
فَسِيرُواْ فِي الأَرْضِ فَانظُرُواْ كَيْفَ كَانَ عَاقِبَةُ الْمُكَذِّبِينَ (16:36)

16:36  And in the past We Sent/Raised In every nation a Messenger (Saying): "Follow/Worship God and avoid idolization (false imagery)." Some of them were Guided unto God and some of them increased in their misguidance/straying, so travel freely (fluidly/flux) throughout the Earth and see/observe how the deniers/liars ended up.

Surah 27 Naml (Ants)
قُلْ سِيرُوا فِي الْأَرْضِ 
فَانظُرُوا كَيْفَ كَانَ عَاقِبَةُ الْمُجْرِمِينَ   

27:69 Say, "Travel (course) through the Earth and see/observe what became of the criminals/miscreants/guilty.

Surah 29 3'ankabut (Spider)
قُلْ سِيرُوا فِي الْأَرْضِ فَانظُرُوا كَيْفَ بَدَأَ الْخَلْقَ
 ثُمَّ اللَّهُ يُنشِئُ النَّشْأَةَ الْآخِرَةَ 
إِنَّ اللَّهَ عَلَى كُلِّ شَيْءٍ قَدِيرٌ

29:20 Say, "Travel (course) throught the Earth and see/observe how God originates the Creation and then Brings Forth the Emergence of the Hereafter (Its Consequence/Maturation). Indeed, God Has Power Over Everything (Is Capable of Anything)."

Surah 30 Romans (Ar.rum)
قُلْ سِيرُوا فِي الْأَرْضِ 
فَانظُرُوا كَيْفَ كَانَ عَاقِبَةُ الَّذِينَ مِن قَبْلُ
 كَانَ أَكْثَرُهُم مُّشْرِكِينَ

30:42 Say, "Travel (course) through the land (throughout the Earth) and look/discern (be able to make a distinction/differentiate) the final outcome of those who before were mostly heathens (idolators/pagans/those who associate anything else with the One True God).

It is important to point out the emphasis is for the Believers to travel freely (set a course + flux) and make careful observation (look to see) in order to be able to even distinguish or discern that the Creation and Recreation (Hereafter) is indeed taking place in situ and that the Creation is not as static as we may be duped into thinking.

Apparently, there is little chance of encountering or being able to gauge a fold in space/time if restricted within a narrow physical existence. So, for some who do not venture more than 20 miles beyond where they were first born, this may not be a concept they can readily assimilate, let alone detect given their circumspect movement on the Earth.

And as such, what we are on about here (tay-el-ard), may seem like weird science.

The more widely-travelled set, however, may be able to relate to at least some of these concepts having merit beyond the occasional honorable mention in fairy tales.

Given Vectors defined by Chapter:Sign:Word Location  سِيرُوا   'seeru'  'Travel':

3, 137, 6  (alif, lam, mim)
6, 11, 2  (non muquati'at)
16, 36, 24 (non muqati'at)
27, 69, 2  (tta, sin)
29, 20, 2 (alif, lam, mim)
30, 42, 2 (alif, lam, mim)
9, 2, 1 (non muqati'at)  ('Travel' given as سِيحُواْ   ' seehhu' so this particular Sign may or may not be part of the vector space considered here) 

First square matrix taken in chapter ascending order where the word 'Travel' appears in the same location, ie, word number==2:
27, 69, 2 (tta, sin)
29, 20, 2 (alif, lam, mim)
30, 42, 2 (alif, lam, mim)

Matrix: {{27,69,2},{29,20,2},{30,42,2}}
Determinant: 186
Eigenvalues: 70.4771; -21.3535; -0.12359
Trace: 49 =[1 + cos (t)] = [cos (t) = 24]

Second square matrix taken in chapter ascending order and share the same muqati'3at == alif.lam.mim.:
3, 137, 6 (alif, lam, mim)
29, 20, 2 (alif, lam, mim)
30, 42, 2 (alif, lam, mim)

Matrix: {{3, 137,6},{29,20,2},{30,42,2}}
Determinant =3850 (positive, eigenvectors have same orientation, product of the eigenvalues have same sign as the Determinant; the higher the value of the Determinant, the more valuable the information)
Eignevalues: 78.3513; -52.4138; -0.93749 (positive eigenvalues (real part) mean solution spirals away from the origin; negative eigenvalues (real part) mean solution spirals towards the origin; purely imaginary eigenvalues mean the solution neither spirals in or out from the origin but circles around it)
Trace = 25 = [1+ 2 cos (t) ]== [cos (t) = 12]

           sin^-1 (12) =  ~  3.17631i (r= 3.17631, theta = 90degrees) ~1.011 pi

Matrix Trace is related to Group Character; the Trace of Marix A, TrA, is the sum of the diagonal elements of a matrix; and the Trace is the sum of the eigenvalues of the matrix. The Determinant, detA, is the product of the matrix eigenvalues. For the case where TrA=0, detA=0, or (TrA)^2= 4detA the system is not structurally stable, ie., a small change in the entries of matrix A will destroy this property. Other cases are structurally stable, i.e., if the system has a sink, any nearby system will have a sink.

The Matrix A can be considered to be a Point in the
Determinant-Trace Plane
If the Determinant is Negative it is A Saddle point (one positive and one negative solution).
If the Determinant is Positive, eigenvalues have the same sign as the Trace
For the degenerate case where the detA=0, solutions are constants.
Comprehensive eigenvector ray paths explanation and movie.

Arithmetically, transition events are related to singularity and catastrophe theories.
The Swallow Tail's - Series on  Catastrophes
Oil on Canvas 1983 by Salvador Dali

(apparently some of ewes guys have already tried this vector math and that's why you've been popping in and out of public restrooms...but I'll do the math exercise just the same...)

Diagram of cusp catastrophe
Brown and Red curves show  satisfying dV/dx = 0 for parameters (a,b), 
are drawn for parameter continuously varied over several values of parameter a
Outside the cusp locus of bifurcations (blue), 
for each point (a,b) in parameter space there is only one extremising value of x
Two different values of x, giving local minima of V(x) for each (a,b), 
are possible inside the cusp, separated by a value of x giving a local maximum.
René Thom's catastrophe theory:
Thom suggested that in four-dimensional phenomena, there are seven possible equilibrium surfaces, and therefore seven possible discontinuities, or "elementary catastrophes": fold, cusp, swallowtail, butterfly, hyperbolic umbilic, elliptic umbilic, and parabolic umbilic
"The shape of Dalí’s Swallow’s Tail is taken directly from Thom’s four-dimensional graph of the same title, combined with a second catastrophe graph, the s-curve that Thom dubbed, "the cusp". 
Thom’s model is presented alongside the elegant curves of a cello and the instrument’s f-holes, which, especially as they lack the small pointed side-cuts of a traditional f-hole, equally connote the mathematical symbol for an integral in calculus.--wikipedia 
This may not seem of any valuable interest in real-world dynamics, unless you are truly observant.

For example, to the uninitiated, a drive along the freeway is a chance to go fast and burn some gas. A side benefit to which is that it is the closest a human being can get to actually flying. More so than in airplanes since the travel compartment is pressurized so the actual sensation of flight is insular at best.

In a moving car and with the windows down the feel of the wind rushing by and the traction against the road causes the experience to be more proximate to the real thing our fine feathered friends take for granted.

What has all this to do with cusps and bifurcations?

The beauty of the pragmatic application is in its subtlety. Because not only is God the Devil in the Details, but God is Imperceptible/Subtle, leaving the bludgeon approach to people like Me.

The fortunate few, who think 'forwardup' is a direction, are attuned to this happenstance occurring more commonly than one would think; to everyone else 'it's just another stack of hay.'

Those aware of the details of how such a catastrophic cusp event occurs in practice can see that while maintaining a constant speed along with the flow of other highway traffic, and all other parameters being the same, they begin to notice their vehicle either pulling away quickly from the field behind them or that they may see themselves dropping back away from the field of traffic ahead of them inexplicably fast, despite no changes in acceleration.

Magic! Or you happen to hit a fold in the road, not a bump, not a pot hole.

For the majority of us, we tend to notice what song is on the radio more than any such phenomenon.

And then we act vacant, obtuse and clueless when the same phenomena occur on a much larger scale like that of the Bermuda Triangle 'disappearances.'

An ordinary Cusp formed by the Optical Caustic
formed by light rays at the bottom of a tea cup.
The plane curve cusps are all diffeomorphic to one of the following forms: x2 − y2k+1 = 0,
where k ≥ 1 is an integer.

Algorithms have also been established that track point-curve critical distances exactly on piecewise smooth curves, deriving algebraically the unfolding formulas for degenerate critical distances (ie., to make it easier for me to find You because when it comes to Math and Science, I am a little retarded--not necessarily a self-depricating bad thing since by the time it occurs to me just how angry I should be, the problem is resolved and I just have to convince myself all there's left to do is wait for the dust to settle).

Sort...Cycle...Fold...and other Possible Outcomes at Catastrophic Events 
(and we're not talking just laundry, here):

Surah 15 Hijr (Rocky Tracts, have many sharp edges or Cusps)
إِنَّ رَبَّكَ هُوَ الْخَلاَّقُ الْعَلِيمُ (15:86

15:86 Indeed, Your Lord Is The Omniscient Creator!

Argyle Sweater
Forgotten Tools
وَلَقَدْ آتَيْنَاكَ سَبْعًا مِّنَ الْمَثَانِي وَالْقُرْآنَ الْعَظِيمَ (15:87

15:87 And We Have Given You 7 of the mathanee (traditionally interpreted to mean Surah 1 Al Fathha (The Opening) which is 7 of the most often repeated verses; literally,   الْمَثَانِي  means 'the folded, enfolded, pleated, flexions, folds and/or 'that which folds or causes to fold/bend') and The Quran Al.3'attheem (Magnificent, Sublime, while  عَظِمَ   the root  3.tth.m  means major, great; it also means bone and the word الْعَظِيمَ is an adjective that by this reasoning means 'that which skeletonizes', therefore, it is meant as an instrument of Resurrection)

لاَ تَمُدَّنَّ عَيْنَيْكَ إِلَى مَا مَتَّعْنَا بِهِ أَزْوَاجًا مِّنْهُمْ
 وَلاَ تَحْزَنْ عَلَيْهِمْ
وَاخْفِضْ جَنَاحَكَ لِلْمُؤْمِنِينَ (15:88

15:88 Do not extend Your sights (eyes, look longingly, envy) to that which We Endowed pairs (couples) of them,
and Do Not Grieve for them.
And lower Your Wings (of Mercy) over/to the Believers.

Sign 15:88 is important to the discussion on catastrophic cusp events in it's allusion to the Prophet (pbuh) 'dipping or lowering His 'wings of Mercy'' like a mother bird would shield her hatchlings by encircling them with her wings. 
But the actual intended imagery has to do with 'folding and bending' space and how to inspect for visual clues in our common everyday experience. 
Here, it draws attention to when looking up at birds flying high overhead they may seem to dip in and out of view (disappear) either due to spherical aberrations in the atmosphere or astigmatism on the part of the observer--or we're all plain giddy to distraction thinking ornithology is a branch of UFOlogy. 
But in a very similar fashion as the astute driver notices such subtle interactions with tay-al-ard or space-fold encounters on the anthropomorphic scale, the phenomenon has equivalence in electromagnetism and light propagation (a compelling argument for the variable speed of light in a vacuum). 

وَقُلْ إِنِّي أَنَا النَّذِيرُ الْمُبِينُ (15:89

15:89 And Say, "Indeed, I Am the Evident (Apparent, Obvious, Conspicuous, Clear) Warner!"(...that's why I keep wondering what happened to my front man?!)

كَمَا أَنزَلْنَا عَلَى المُقْتَسِمِينَ (15:90

15:90 Whom We've Sent to those in disputation (divided, separated, not united)

الَّذِينَ جَعَلُوا الْقُرْآنَ عِضِينَ (15:91

15:91 Those who take the Quran in jest (quibble about, pick over, make biting remarks, take it apart-- idiomatic expression)

فَوَرَبِّكَ لَنَسْأَلَنَّهُمْ أَجْمَعِيْنَ (15:92

15:92 To Your Lord they shall Answer (We Will Question them) Altogether. (Wholey, In the Collective, All of Them Gathered)

عَمَّا كَانُوا يَعْمَلُونَ (15:93

15:93 Of that which (they thought) they were doing.

فَاصْدَعْ بِمَا تُؤْمَرُ وَأَعْرِضْ عَنِ الْمُشْرِكِينَ (15:94

15:94 So proclaim (lit. split, fissure, crack/crevice, rift) that which You are commanded and withdraw from the idolators. (Alternatively, Split/rift/separate by an act of fissuring away (see the driving experience above for similar experience of what it means to 'break away') from that which they command or want of you, and avoid those who join other deities with God, worship other things along with God).

إِنَّا كَفَيْنَاكَ الْمُسْتَهْزِئِينَ (15:95

15:95 Indeed, We spared You from those who mock (blame) you (lit. making a stir, make waves, etc. idiomatic for rabble-rousers).

الَّذِينَ يَجْعَلُونَ مَعَ اللّهِ إِلـهًا آخَرَ فَسَوْفَ يَعْلَمُونَ (15:96

15:96 Those who join with God other gods, they will (come) to know (better).

Neurotransmission (see gears) means "I love you, but I don't need the same."

Yeah, Right! I think Malcolm is an Old Man, like I go around thinking I am the Queen of the Main!
I just wanted to have everybody change their concept of pre-cursor!

But since it's all been carefully arranged that I can't get off the ground, and I am as of today completely dispossessed, I would like to finally get paid so I can afford to pack my suitcase and move on down the line.

Oh, and I'd really like to see my Late (aka Delinquent) Father right about now.(Thanks for visiting August 5, 2013--let's both try not to be so surprised next time)

from Tracking Point-Curve Critical Distances, X. Chen, E. Cohen and R. Riesenfeld


If It Walks Like A Duck And It Talks Like A Duck, It's A Papaya

"It's not the one thing nor the other that leads to madness, but the space in between."
--Jeanette Winterson, Oranges Are Not the Only Fruit

In a nutshell, the cunundrum scrutinized by many-a-sleuth since the Dawn of Civilization has been;
One Duck--But, Which Duck?

Purportedly, the first to pop the question were the Greeks--and it would have sounded something like:
Mia papya amma pya papya?
(Μια πάπια, αλλά ποια πάπια?)...

But, what's any of this to do with Gravity? One might wonder.

In Greek the query whether it is 'One Duck' or 'A Duck' is one and the same. Only interesting as far as 'One' indicates an exact Duck, yet any generic/indefinite duck will do for 'A Duck'.The word for duck in Arabic, by the way is, ' بط' , pronounced 'but' , or more precisely, 'butt'. A closer look at the image of the yellow ducks swimming past the view finder reveals a series of less obvious white ducks gliding by in the opposite direction. They are embedded in the 'negative space' defined by the more apparent yellow ducks.

The white ducks are what we would call a 'ghost' since they have no definite outline. And just like a ghost they trace a faint, weak or greatly reduced appearance, or possibility of something. But, butt, ' بط'...!
...where at first glance it seemed the marksman is about to miss their target, we now see that they are sighting their quarry and are right on target--an interstitial white 'sitting' duck.

In this example, the interstitial space (white ducks) is the gap or 'empty space' between spaces full of structure or matter (yellow ducks). It is what the Japanese call Ma (間) ...roughly translated as "gap", "space", "pause" or as "the space between two structural parts". Now, before you 'O, Ma!' me, or toss another 'grammar nazi' my way (an apparent euphemism for 'childbirth makes women scatterbrained'), You should know the reason I am bringing up the Japanese is not because you have a Japanese girlfriend at present. But, for the more important reason that while this 'interval' or 'negative space' is understood to be experientially 'concrete' in Eastern philosophy, in that its very absence or voidness is considered to lend value to the overall tangible structure or give shape to the whole, there is no equivalent single word for Ma in the English language--a somewhat serious omission.

The buzz words being interstitial and negative space, right? Somehow, that should bring us back down to Earth, so to speak, and the 'matter' under consideration--persnickity Gravity.

For denizens of the Planet Earth, 'Knowing' about Gravity is a little like 'Seeing' a Ghost.

Just like in the Duck example, where the ghostly Ma white ducks were plucked from the negative space or gap between the substantive yellow ducks, Gravity's ghost is traced by the Tide. Oceanic Tides can serve to 'map' Gravity since it has a direct affect on them.

For the example here, a regular ocean tide at the shore gives some insight as to the basic Geometry of Gravitational (wave dual) affects on a particular day at a particular time and particle location.

And just like Flatlanders cannot fully realize what Higher Dimensional objects and forces Really are in Lower Dimensions (Consider Flatlanders, Emily and Bob, projecting a hyper-cube...etc.); the best we can hope for is a reasonable inference of what these 5th, 6th, or higher dimensional things' true nature is based on our limited perspective of what we are afforded by our 3rd or 4th dimensional existence (remember Chicken Little?).

That is to say, we need to look for their traces in the 'empty' spaces.

The sine function, osculating circles, parabolic sand washes and the triangles indicating the carved sand bars were overlayed onto the image by drawing them in, not actually modeling them mathematically. These shapes, while selected intuitively, have geometries that can be explicitly related by arithmetic relationships.

The simplest case is imagining that a cylinder is cut at an oblique angle such that the cross cut is an ellipse. Unwrapping the cylinder reveals a sinusoudal curve. In a similar fashion, the circles, parabolas, and triangles are derived from conic sections and projections (unwrappings/unfoldings). (Implicit formulas for such profiles/projections available at "Unwrapping Curves from Cyliders and Cones," The Mathematical Society of America, 2007 )

Simple inspection of the underlying geometry for this moment in time by the sea shore--the osculating (kissing) circles, parabolic sand washes, the tide's sinuous wave front, and the triangles depicting the carved sand bars-- gives a good lower dimensional representation (affine) of Gravity's extra-dimensionality (interstitial nature) and just what it might Really be all about.

Having spent time mulling over the implications of a mathematically perfect Solar System, as solargeometry eloquently puts it, it would be reasonable to expect infinitely recurring self-similarity throughout the Universe. And, by extension since Gravitation is a part of the Universe, wherever we measure or observe its effects can serve as reasonable isomorphs in our 4-dimensional space-time domain to understanding Gravity's exact nature.

Self-similarity is the flip side of the Duality coin. And just like opposites, or duals, serve to balance each other and teach us something about the Nature of the World by comparing and contrasting these opposites, self-similarity serves as an identity scale from the very big to the very small (You Do It! I simply don't get paid well enough to justify working that hard, to teach us about those things that we cannot access readily due to some limitation. In the case of Gravity, that limitation seems to be that it is extra-dimensional.

{It may very well be the case that self-similars do not only exist for inanimate objects, but People as well, considering the Quran has this much to say about them:
20:104 We know what is involved when the 'likes of them' (those mentioned before, those like them, their representations) say, ‘You went about (were broadcast/remained/stayed/tarried) in this way (method/system/fashion/channel/styling/mode/style/attitude) but a Day'.}

A good place to start looking for self-similars in Gravity's case is by comparing the Curvature of a cylinder to the curl of a Tidal wave.

A cylinder can be given by a flat metric, a 2-D rectangle (planar shape) that is curled (rotated by an angle 'alpha' about its axis) so that the short ends meet. When rotated, its various profiles present as lines, ellipses or circles depending on the viewing angle and axis of rotation.

Curvature characterizes how well Pythagorean’s theorem holds for spatial distances.

A space or space-time with zero curvature is called flat.

If an object/line/field/surface/n-space is ‘flat’ its curvature is zero, then Ω = 1, and Pythagorean’s theorem is valid.

If Ω >1, there is positive curvature (or locally convex), and if Ω <1 then curvature is negative (locally saddle, or hyperbolic--i read it, is it supposed to make me feel any better, or make me launch into a retelling of the story about ذو القرنين ḏū al-qarnayn 'the 2-horned one', as He was already mentioned in earlier posts 'where the 2 (horns?) meet').

In either of these two cases, the Pythagorean Theorem is invalid. The point here being that this type of thing is only detectable on a Cosmic scale (1E26 m); and sometimes that's how big the Truth gets, and they still callin' me a liar! (As an aside, do i get an invitation to the wedding the crew from 'paranoia' were planning at Starbux this morning 02-26-2011 @8:00am? That is to say, the guy on the phone was so loud about it, he should've invited everyone in the joint...I haven't been to one in about 5 years.)

In a plane, curvature is a scalar and in higher dimensions it is described by curvature vectors/tensors.

For a circle, the curvature is equal everywhere, and is defined as the reciprocal of its radius.

For smooth curves, curvature is defined as the curvature of the osculating circle at each point. (Osculating circle based algorithms can also be used to avoid a catastrophe.)

...back to the Sea...

A yellow dot is wrapped onto a cylinder of decreasing radii in the Figure (a)-(f) above.
The edge effect in (f) is reminiscent of waves breaking on the shore.
Pictured here is a yellow dot resting on slack water in an ocean (A), a momentary lull before the tide turns, and something that models a point in a plane (or a Flat field).

In (B) the red arrow indicates an Acceleration field which causes the yellow dot to rise in a trajectory modeled by a geodesic along the surface of a cylinder
(C)--an example of Curvature as the Obstruction to a Flat Field.

 {If You notice how long this post is taking for me to get around to doing it's because I've been sidetracked, thinking I almost made a friend, but that went South quickly when he reminded me that 'human contact is a good thing'. R U kidding?Did you see what happened the last time I came anywhere near them?! So, good try, but no thanks!}

An Observer looking directly down from the Sky  (i.e, a Fixed Point of View, far away) sees the yellow dot translating along a straight line (not following a curved pathsince they cannot observe the rotation, α=0, ie. it would appear 'still' in that respect, no longer arcing), its straight line profile traces a path:

p(t)= t

Which is esentially a line given by:

z = ct

The yellow dot's ordinate as it rolls along the curl of a cylinder that's rotating around its central axis in this manner as a function of the angle of rotation about the cylinder's central axis, α, is given by:

zα = p(t cos α +√(r^2- t^2 )sin α

Which is a curve of the form:

zα = t cos α +√(r^2- t^2 )sin α

On rearrangement, is essentially an ellipse (possibly degenerate) of the form

Ax^2 + Bxy + Cy^2 = 1 given by:

zα^2 − 2zαt cos α + t^2 = r ^2 sin^2 α


p = the profile function
t = projection of the point along the x-axis
r = radius of the cylinder
α = angle of rotation about the cylinder central axis
z = the distance the projected point travels parallel to the y- axis as it follows the curl of the cylinder through angle α
The expression for zα resembles x'= x cos α + y sin α for changing coordinates from the xy- system to the x'y'-system by rotating the axes through an angle α.

The tidal wave develops along the arcing surface of the imagined cylinder whose shape, depending on the symmetry of the acceleration, may be a circle, an ellipse or degenerate ellipse --an example of Tidal Forces as the Obstruction to an Acceleration Field.

This is readily imagined if one were to change the Observer's point of view, such that they are now sighting directly down the cylinder's central axis. One way to do this is to move the Observer's veiwing plane by 90 degrees by actually repositioning the Observer, the other way to do this is to 'tilt' the cylinder itself by α = π/2 to the original viewing plane.

In either case, the profile function is then given by:

zπ/2 = p(√(r^2- t^2 )

Which is essentially a circle given by:

z^2 = r^2 - t^2

Time and Tide are, respectively, bound to Space and Acceleration akin to the manner in which Polar coordinates are related to Cartesian coordinate systems. The relationship is difficult to fathom directly since information is lost (more accurately, 'masked') when moving from one system to the other. And looking at something (information) in one system makes it seem like something entirely different in the other, when in fact it (the information, representation) is essentially the same exact thing.

Words can only take us so far and that's why pictures were invented. And by the fortunate happenstance of a searchable world wide web, wikipedist Kieff (who for whatever reason does not enjoy being Brazillian, or is that getting a Brazillian?) has actually expressed this concept of converting from Cartesian to Polar coordinates pictorially--a similitude for how Curvature of Space-Time is the same as Tidal Forces."

As for seeing me cycle through every mood but Contrition, when have You ever known me not to oblige. If it's contrition You want, here it is: I am genuinely sorry I didn't kill'em all!}

Good things come to those who wait, or as in this case, to those who procrastinate. The delay in getting on with wrapping and unwrapping (unfolding) curves has allowed enough time for this treatise to surface on the web "Unwrapping Curves from Cylinders and Cones," by Tom M. Apostol and Mamikon A. Mnatsakanian, May 1997, The Mathematics Association of America. (reference added March 28, 2011)

Since it seems Gravity can only be encompassed from a Higher Dimension we can only Infer something about its inherent characteristics by its Lower Dimension isomorphic projection on Tides. In this case, Ocean Tides serve as the 4th dimension space-time model of Gravity’s true Higher Dimensional 'Wave' nature.

The Ocean tides give a direct window into the Wave nature of Gravity since modeling tidal behavior can serve as a reasonable affine in Euclidean Space to Gravity’s n-dimensional space affects on them.As we know Tides vary, Gravity, too, may not be as constant as we think, but also instantaneously variable and fluctuating (just like Energy, Light, and other Electro-magnetic radiation, and we have a basic understanding of how Matter interacts/correlates with such Fields).

Gravity's Wave Duality Can Be Inferred From Geometry of Tidal Affects

The pictures can only do so much because they are still rendered in 2-dimensions but a good modeling program should be able to tease out the Unifying Physics of this phenomenon we call 'Gravity' and the finer points pertaining to fractals, duality, and that niggling issue of 'missing mass' (I mean, if we Know it's missing, doesn't that mean it Ain't?--O, Gee :-() that brings us back to 'There ain't no God'!--i kid, i kid, i jest i jest, b( i am soooo depressed)-er).
Some days, when the tide washes up in even more circular fronts, the effect is even more pronounced.

I'm almost certain some bright talent can put all this "As Above, So Below..." to Music just as some time ago William Blake wrote a Poem about it.

'To see a world in a grain of sand,
And a heaven in a wild flower,
Hold infinity in the palm of your hand,
And eternity in an hour...

Every night and every morn
Some to misery are born,
Every morn and every night
Some are born to sweet delight...

We are led to believe a lie
When we see not thro' the eye,
Which was born in a night to perish in a night,
When the soul slept in beams of light.

God appears, and God is light,
To those poor souls who dwell in night;
But does a human form display
To those who dwell in realms of day.'
--from Auguries of Innocence by William Blake

O, Gee, again! SomeOne already made it down this far in the post and is wondering where is the Quran tie-in. Here it is:
Surah 20 TaHa (طه )

طه 20:1

20:105 وَيَسْأَلُونَكَ عَنِالْجِبَا

فَقُلْ يَنسِفُهَا رَبِّي نَسْفًا فَيَذَرُهَا قَاعًا صَفْصَفًا 20:106

20:107 لَا تَرَى فِيهَا عِوَجًا وَلَا أَمْتًا

20:108يَوْمَئِذٍ يَتَّبِعُونَ الدَّاعِيَ لَا عِوَجَ لَهُ وَخَشَعَت الْأَصْوَاتُ لِلرَّحْمَنِ فَلَا تَسْمَعُ إِلَّا هَمْسًا

The first sign in this chapter is one set of the Disconnected Letters found in certain Chapters of the Quran. They are pronounced individually and generally do not comprise words that have any meaning, for that reason they have kept their integrity all these years.
For Sign 20:1 they are the letters Tta ط and Ha ه .

In a previous post there was some discussion as to the mathematics in the Quran, so going by conventional Arabic math notation the ط can mean 'Natural Number' and/or 'pi' and/or gematria value for tta being '9'. And the Ha is Euler's number which is the irrational number denoted by 'e' and has the gematria value '5'.

Now, it doesn't take much to combine pi and e to come up with a natural number. The general case is:

The general solution for which is:

For the special case when taking the Chapter value 20 as the variable and the Sign number 1 as the case to test for True, we get: 


Which happens to be True.

20:105 And they will ask you about the Mountains/Barrows/Highlands; Say, 'My Lord Will blast them (a) demolition (torpedo them (to) sinking)'

20:105 transliteration

Wa ya s a loo n aka AAani al jib ali

fa qu l ya nsifu ha

rabbee nasfan

20:106 Leaving it a level plane (Leaving it bottoming (simply) wasting)
20:106 transliteration
Fa ya فَ يَ

tharuha qaAAan saf safan
 ذَرُهَا (a word for corn/kernel/seed/scatter/sow 'tthura' and here it is understood to mean 'its kernel' since it's take as 'thuruha' (reflexive); but this is by no means the only way it may be understood--just happens to be the most accessible to me.


20:107 You will not see in it any Crookedness (Bend/Curvature) or Ruggedness

20:107 transliteration
La ta ra fee ha
(La=no, then use tau, roh, phi, and Ha==e,
should lead to something meaningful
when 20:107 used for variable/solution)

AAiwajanwala amtan

(and not; d, a? Complex, Imaginary, compile/ until n?)
(more than likely the math is wrong since I have no insight into the physics/math and simply stringing along the Arabithmetic guessing, someone more keen on this can probably recognize it for what it is. the point is the message has to do with learning something new and not necessarily using the Quran to bonk your brother.)

20:108 On a Day they will follow the Caller/Summoner, without Crookedness/Dishonestly/Evasion to Him, and the Voices will be Hushed/Overawed by the Merciful, and you'll not hear anything except murmurs/whispers/soughing sound.

20:108 Transliteration

Ya w ma I thi n
ya ttabiAAoona alddaAAiya
la AAiwaja lahu
wakhashaAAati alaswatu lilrrahmani
fala tasmaAAu illa hamsan

Surah 46 Al-Ahqaf ( الْأَحْقَافِ , Curved Sand Dunes)
وَاذْكُرْ أَخَا عَادٍ إِذْ أَنذَرَ قَوْمَهُ بِالْأَحْقَافِ وَقَدْ خَلَتْالنُّذُرُ مِن بَيْنِ يَدَيْهِ
 وَمِنْ خَلْفِهِ أَلَّا تَعْبُدُوا إِلَّا اللَّهَ
إِنِّي أَخَافُ عَلَيْكُمْ عَذَابَ يَوْمٍ عَظِيمٍ 46:21

46:21 And remember 'Aad's bretheren when He warned his people among the wind-Curved Sand Dunes, and indeed warners came and went before and after him, saying: 'Serve none but God. Truly, I fear for you the suffering of a Momentous/Significant/Great/Extraordinary Day'.

But like I stated earlier, it's taking time to get through this post since I tend to wallow in my own misfortune, knowing this News never makes it Home (with or without outside assistance, given how often the point about hyperbolic curvature has been deleted to date 21/02/2011; the upside is that while so far Gravity is still present I have magically dropped 3 dress sizes while still consuming the same amount of chocolate). {'Grammar Nazi'?! Really? How many more times You gonna say that?}


A Wave Of Oblivious People

“Suddenly, madness was everywhere, and I was determined to learn about the impact it had on the way society evolves. I've always believed society to be a fundamentally rational thing, but what if it isn't? What if it is built on insanity?”
Jon Ronson, The Psychopath Test: A Journey Through the Madness Industry

Beetles comprise the largest group of insects, with an estimated 5-8 million species, or 25% of all known life forms on Earth; yet, Humans with but one species make the bigger impact by far. It can be argued that God must really love beetles since He made so many of them, but it seems that People demand more of His attention.

Beetles and People are just 2 of the host of Communities (masses) found of Earth. The word for Community or Folk is the noun ناس ‘nass’ (v. , ‘wave’ ; adj., ‘oblivious’ or ‘forgetful’) and Surah 114 Nass, the last Chapter in the Quran, deals with all the inhabitants or Communities God created, not just people per se (i.e., Jinn, Angels, Cactus, Fish, Peonies, Orcas, etc.).

114 Surah An-Nass (Communities/Masses, Waves, Oblivious)
114:1 قُلْ أَعُوذُ بِرَبِّ النَّاسِ
114:1 Say: I Seek Refuge in the Lord of the Masses
114:2 مَلِكِ النَّاسِ 114:2 King of the Masses
114:3 إِلَهِ النَّاسِ
114:3 God of the Masses
114:4 مِن شَرِّ الْوَسْوَاسِ الْخَنَّاسِ
114:4 From the Evil of the 'Weakening Whisperer' (one who causes weakening/ineffectiveness via regrets/hesitation)
114:5 الَّذِي يُوَسْوِسُ فِي صُدُورِ النَّاسِ
114:5 That 'Whispers in the Masses' Breasts' (causes unrest/unsettles by what is being released/published or emanated by or into the midst of a community)
114:6 مِنَ الْجِنَّةِ وَ النَّاسِ
114:6 From the Committees (or flora, fauna, spirits, etc. or segregated organizations such as alphabet agencies, etc.) and the Masses (People, Jinn, animals, etc.) {The Source of the unrest in 114:5 is caused by factions from the midst of the created communities.}

In terms of genetics People as a species are remarkably homogeneous. And while small variations in the human genome cause distinguishable hereditary traits, none are significant enough to form subspecies in the Human Populace.

Instead, it is more effective to group people in other terms, such as by belief (for example; Sabaen, Christian, Muslim, Jew); regional or ethnic attributes (i.e., tribe, nation, culture; like Romans or Egyptians); by occupation or affiliation (as in Prophets, Poets, Confederates); and by circumstance/condition or unifying characteristic (such as aptitude, disposition, or shared activity).

Analysts invariably translate Sign 114:6 to mean 'Of the Jinn and Mankind,' but the words expressly mentioning Jinn in the Quran are either جِنِّ 'Jinn' or جَآنَّ 'Jan,' the latter being the singular form whereas the plural or generic (like Men or Mankind) is the former rendering.

However, the word الْجِنَّةِ 'al-jinati' in Ayeh 114:6 is not a common contextual occurrence for Jinn, and it is used elsewhere in the Quran to mean either 'spirits' or 'madness/bliss' or even mistaken for the plural form of the word 'garden' or the definitive 'Paradise' due to subtle pronunciation differences between the words 'jinati' and 'janati.'

And there is a secondary meaning to the word Ljinat or jinata meaning 'committee.' So the understanding that the Source of the unrest is not from among Jinn (the Unseen) and Mankind but rather from ill-spirited (quite possibly mad) subgroups or committees (either elected or appointed) that act or function on behalf of the larger group or host community (the 'nass' in this case); and the mechanism by which they spread conflict is by controlling information.

I had a friend in college that whenever he was given any kind of information or asked to give information would qualify what he heard or what he said with, 'Yes, but consider the Source!'

Whether he may have been alluding to something out of a DC Comic or seriously vetting information one could never be sure, but in retrospect he must have held the Wisdom of the Ages to bring 'The Source' of any and all information to everyone-he-came-into-contact-with's attention.

Since, it seems much of the perceived distress and unrest prevalent within Communities is likely rooted in 'bad information' propagated by 'mad' (read: 'private agenda') subgroups or Committees (read: 'self-interest' or 'special interest', not for the 'greater good' or simply 'incompetent') founded by the very Communities they are expected to serve.

The Quran mentions several ancient communities including 'Ad, Thamud, Pharoah's community, b'Nai Israel, Gog and Magog among others; and there are some chapters titled after specific Nations including: 15 Hijjr, 27 Naml, 30 Romans, 34 Saba, 105 Fil, and 106 Quraysh.

________________________(Rock-Hewn Dwellings-- Al-Hijr)
The lesson pertaining to the demise of some of these civilizations is that no matter how highly developed and thriving they once were, they were all eventually brought down and in some cases completely annihilated due to some intolerable failing on their part. Surat Al-Hijr recaps doing away with Lot's community and that of Madayin and mentions that while Al-Hijr were technically advanced for their time and felt themselves secure, dwelling in hewn limestone mountain sides, they were not immune to God's reproach.
The Hijr had succeeded the Thamud and were at the crossroads of regional trade, yet just as the Thamud were overtaken by an earthquake, the Hijr were lost to what appears to be lightening strikes; this is probably derived from the words الصَّيْحَةُ مُصْبِحِينَ 'al-sayihatu musbihin' which translates to 'screaming flame/by the next morning'.

The latter interpretation for musbihin deriving from both the root 'sabah' for morning conjugated as 'musbihin' meaning 'by the morning' or 'waking up to' and 'm.sbah' for flame or light.

15 Surah Al-Hijr (Stone Dwellings at Madina Saleh)
وَلَقَدْ كَذَّبَ أَصْحَابُ الحِجْرِ الْمُرْسَلِينَ 15:80
15:81 We gave them our Revelation and they were Opposed/Exposed to it
 وَكَانُواْ يَنْحِتُونَ مِنَ الْجِبَالِ بُيُوتًا آمِنِين15:82 
15:82 They would sculpt secure dwellings in the Mountains
فَأَخَذَتْهُمُ الصَّيْحَةُ مُصْبِحِينَ 15:83
15:83 Yet the Sayihatu had taken them by the next morning
فَمَا أَغْنَى عَنْهُم مَّا كَانُواْ يَكْسِبُونَ 15:84
15:84 And they were none the richer for what they earned

Further supporting that the 'nass' in Surah 114 refers to all Communities and not just Humanity may be inferred from Solomon's gifts that are mentioned in Chapter 27 The Ants (Naml):

Surah 27 Naml (Ants)
27:15 And likewise we bestowed onto David and Solomon Knowledge and they said, 'Thank God who has favored us much among His Faithful Servants.'

27:16 And Solomon succeeded David, and he said, 'O, all you Communities! I have learned the language of 'all that flies' and have been given insight to everything; truly, this is an obvious favor (apparent preference).'

وَحُشِرَ لِسُلَيْمَانَ جُنُودُهُ مِنَ الْجِنِّ وَالْإِنسِ وَالطَّيْرِ فَهُمْ يُوزَعُونَ 27:17
27:17 And (there) gathered onto Solomon Forces from the Jinn and the Communities and 'That which Flies' for they were dispersed (distributed).

27:18 Until they reached the Valley of the Ants (Naml), (she) the Ant said, 'O, you Ants! Get inside your dwellings lest Solomon and his Forces trample you unintentionally!'

And I bet Solomon got a kick out of that because he went on to express his gratitude for being privy to all the dialogue going on around him; including the News one hudhud (a little bird) shared with him about the Queen of Sheba (Saba'). And while it is easy to dispute that Solomon could indeed understand the language of all Communities and had mastery over the unseen forces such as the Jinn, this disbelief is founded on lack of awareness rather than any credible evidence; and I suppose that's why the existence of UFOs ('that which flies') is a hotly debated topic, even today.
Surah 34 Saba (Sheba)

إِن نَّشَأْ نَخْسِفْ بِهِمُ الْأَرْضَ أَوْ نُسْقِطْ عَلَيْهِمْ كِسَفًا مِّنَ السَّمَاء

إِنَّ فِي ذَلِكَ لَآيَةً لِّكُلِّ عَبْدٍ مُّنِيبٍ 34:9
34:9 Do they not see how much lies (open) between their hands and how much is (lies) hidden in the Heavens and Earth...(in other words, how little they see of what lies open and hidden in Heaven and Earth?)

And it would appear that no Community is ever brought down without it first proving itself truly ungrateful as indicated in Surah 34 Saba' (Sheba):

34 Surah Saba' (Sheba)
34:15 Likewise there was for the Sheba (Saba') dwelling among gardens to their right and their left; 'Partake of your Sustainer's Gifts and be thankful to Him'; they had a goodly existence and a Forgiving Lord.

34:16 Yet, they opposed, so We sent them the 'arim flood (broken dam) and We exchanged their gardens for two gardens that yielded bitter fruit, the tamarisk and a few lote trees. ذَلِكَ جَزَيْنَاهُم بِمَا كَفَرُوا وَهَلْ نُجَازِي إِلَّا الْكَفُورَ 34:17
34:17 So We Recompensed them for their ingratitude and thus do We Reward the Ungrateful.
وَجَعَلْنَا بَيْنَهُمْ وَبَيْنَ الْقُرَى الَّتِي بَارَكْنَا فِيهَا قُرًى ظَاهِرَةً وَقَدَّرْنَا فِيهَا السَّيْرَ سِيرُوا فِيهَا لَيَالِيَ وَأَيَّامًا آمِنِينَ 34:18
34:18 And there was between them villages blessed by their visible proximity; and We enabled easy travel between them during the day and security by night

فَقَالُوا رَبَّنَا بَاعِدْ بَيْنَ أَسْفَارِنَا وَظَلَمُوا أَنفُسَهُمْ فَجَعَلْنَاهُمْ أَحَادِيثَ 
وَمَزَّقْنَاهُمْ كُلَّ مُمَزَّقٍ إِنَّ فِي ذَلِكَ لَآيَاتٍ لِّكُلِّ صَبَّارٍ شَكُورٍ34:19
34:19But they said, 'Our Lord, this is a far distance to travel,' and wronged themselves, so We made them into fables and scattered them; in these are Signs for everyone who is patient, grateful.

The many Communities in situ with Humanity, our Awareness or our Oblivion, reacting to questionable information from self-serving Sources, and the downfall or success of a given group of people is summed up rather eloquently in the first 6 Signs of Chapter 30 Romans.

Surah 30 Ar-Rum (The Romans)
الم 30:1
30:1 Alif. Lam. Miim غُلِبَتِ الرُّومُ 30:2 30:2 The Romans are Defeated
30:3 فِي أَدْنَى الْأَرْضِ وَهُم مِّن بَعْدِ غَلَبِهِمْ سَيَغْلِبُونَ
30:4 In a few years, God's Command from Before and After, and then the Believers will Rejoice.
30:5 God Makes Victorious whomever He Wills, and He is the Mighty, the Merciful.
30:6 God's Promise; God does not rescind His Promise, yet most People (Communities) are not Aware.

The defeat of the Romans followed by their victory were events that could not have been readily foretold at the time of the Revelation, just as in Surah 105 Fil (The Elephant), the Companions of the Elephant could not anticipate the unexpected outcome of their war campaign.

In the Year of the Elephant (about 568 AD), tradition holds that a mighty contingent using war elephants, led by Abraha, marched on Mecca in order to divert worshippers from the Ka'ba to Abraha's house of worship.

Indigenous to Mecca were the Quraysh, and it is said that Abraha's troops defeated several tribes on the way during their march to Mecca. Tradition also holds that just outside of the city, the war elephants knelt and refused to march on Mecca and it was at this point that Abraha and his army were pelted by 'birds carrying clay stones.'

It is said that only the army and Abraha were injured or killed during the onslaught and that the animals were all spared.
As usual, the word 'tayrin' is translated to mean 'birds' when in reality it is a more general form meaning anything that is airborne or flies.

There seems to also be a consensus that the invaders were pelted with 'clay tablets' or 'stones of clay' but the literal translation of 'hijrn min sijil' appears to be 'stones of inscription'.

This would mean that the Companions of the Elephant were defeated by an airborne presence 'as written,' which would mean that their demise was pre-ordained.

That the animals were spared points to the invaders having possibly succumbed to an airborne agent that targeted only the humans, such as a viral infection (or in a contemporary context, 'airfreshener'--God forbid!).

105 Surah Al-Fil (The Elephant)
105:3 And Sent to them 'tayrin ababil'
105:4 To pelt them with 'hijrin min sijil'

Chapters 105 The Elephant and 106 Quraysh were often read together; but its worth mentioning that while Quraysh prevailed against the Companions of the Elephant they had at one time been antagonistic toward the early Muslim community and had themselves been defeated by the Muslims.

This lends credence to the claim that favoring one community over another is not forever fixed and is in fact pliant; depending on what each community happens to be doing or not doing at any given point in time.

In fact, Quraysh were openly admonished for their disbelief in Surah 54 Al-Qamar (The Moon):

54:43 Are your Unbelievers (addressing Quraysh) better than your predecessors or have you an assurance in the Holy Scriptures?

But having mended their errant ways and for preserving the Ka'ba the Quraysh did win favor eventually:

106 Surah Al-Quraysh
106:1 By the Covenent with Quraysh
106:2 Having Secured for them the Winter and Summer Travels
106:3 So Worship the Lord of this House
106:4 Who has Fed you from Hunger and Secured you from Threats (Fear).

In a similar way that Chapters titled after specific Nations record significant events pertaining to those communities, Chapters are also titled after communities grouped according to affiliations and include: 21 Prophets, 23 Believers, 26 Poets, 33 Ahzab (Confederates), and 109 Kafirun (Unfaithful).

Having expressed that there is a multifaceted creation comprised of many communities, the emphasis in Surah 21 The Prophets is the the Unity of the Community of Prophets and by extension that of the Believers.

While the Chapter addresses the Prophet directly, the others among his community mentioned by name or by reference are Abraham, Moses, Aaron, Lot, Isma'il, Isaac, Jacob, Noah, David, Solomon, Job, Idris/Ezekiel, Zul-kifl, Zaccharia, John, Mary and Jesus.

21 Al-Anbya (The Prophets)
إِنَّ هَذِهِ أُمَّتُكُمْ أُمَّةً وَاحِدَةً وَأَنَا رَبُّكُمْ فَاعْبُدُونِ 21:92 21:92 Truly, this your Community is but One community and I am Your God (Sustainer, Keeper), so Worship Me.

Whenever the first person pronoun is used in the Quran there was never any mistaking that the 'Me' refers to God and not the person speaking or delivering the message, that is why it is clear that while many honor the Prophet, none have ever worshipped him. In a like manner, whenever the royal 'We' is used, it is understood to mean a Singular God and not a whole bunch.

There probably was a great deal of soul searching on the part of anyone granted Revelation as to what purpose it all serves and on a more personal level the inevitable 'why me?' and 'what does that make me?' So it is not surprising to find insight as to what it's all about in this chapter.

Signs 21:7-21:8 assure us that the Prophet and the entire Community of Prophets that preceded him were all mortals regardless of the Gifts they were proffered. Sign 21:25 emphasises the fact that the Message was being Reiterated one last time, reinforced by describing the common experience of each and every Prophet or Messenger that preceded the Seal of the Prophets, in that they were all thoroughly convinced, either by direct contact or some mode of Inspiration, that there was a Singular Diety, their God, Sourcing the Revelation.

That each one was compelled to carry the Message, having come to know this, is also in the subtext. By extention there was to be no subsequent Sanctioned Revelation thereafter, the Final Truth is really nothing more than this Final Message, possibly in a different language or format, but basically Quran.:

The Finality of the Quran meant that the 'ship had gone off course' for the very last time; so if things seem to be off keel in your neck of the woods, you simply have not gotten the Message, yet.

21:7 And We never Sent before you any but men, that We Inspired, so ask 'the people of Remembrance' if you do not know

21:8 and We did not make their bodies without need of food, nor were they immortals...
21:25 And We never Sent before you a Messenger but We Inspired (Convinced) him that there is no God except Me; so Worship Me (they only worshipped Me; they are My Servants).

And the impetus as to why Revelation is manifest to the Communities is also included in Chapter 21 such that the Messengers' mission is clearly detailed as to what the Outcome will be.

21:11 And how many Unjust villages (towns) have We Exterminated and Established after them latter Folk.
21:12 فَلَمَّا أَحَسُّوا بَأْسَنَا إِذَا هُم مِّنْهَا يَرْكُضُونَ
21:12 Once they felt Our Might they would Flee from it لَا تَرْكُضُوا وَارْجِعُوا إِلَى مَا أُتْرِفْتُمْ فِيهِ وَمَسَاكِنِكُمْ لَعَلَّكُمْ تُسْأَلُونَ 21:13
21:13 "Do not Run Away, and Return to your temptations and your dwellings; to be held Accountable.":
وَمَا خَلَقْنَا السَّمَاء وَالْأَرْضَ وَمَا بَيْنَهُمَا لَاعِبِينَ 21:16
21:16 And We did not Create the Heavens and the Earth and all that is between them for play (amusement)
لَوْ أَرَدْنَا أَن نَّتَّخِذَ لَهْوًا لَّاتَّخَذْنَاهُ مِن لَّدُنَّا إِن كُنَّا فَاعِلِينَ 21:17
21:17 Had We willed to have a diversion, We would have Created it within Ourselves.

The Believers (Chapter 23) continues the theme of Unity among the Messengers and those who truly heed the Message. It reminds everyone of the humble matter from which they derive (a drop of sperm) and contrasts that with God's Might.

While there was a passing reference to 'the people of Remembrance' in Chapter 21 Sign 21:7, that is expounded in Sign 23:95:
23 Surah Al-Mu'minin (The Believers)
وَإِنَّا عَلَى أَن نُّرِيَكَ مَا نَعِدُهُمْ لَقَادِرُونَ 23:95
23:95 And indeed We are Able to Show you (make you Witness) all that We Promise them.

In this we see that God preserves Witnesses from among the Believers for the Purpose of relating that they have come to See, Know, or Witness what is being related in these Signs is True and they serve as a core group by which to Verify all that's been Related.

They are also the manner by which God preserves His Teachings.

And I would be remiss if I neglect to mention that the acid test for what does or does not qualify someone as a Messenger is that at some time during their Mission they are all accused of being down right Crazy:

أَمْ يَقُولُونَ بِهِ جِنَّةٌ بَلْ جَاءهُم بِالْحَقِّ وَأَكْثَرُهُمْ لِلْحَقِّ كَارِهُونَ 23:70
23:70 Except that they say (about the Prophet, or Messenger) ‘he’s crazy!’ ('there is madness in him') although he came to them in Truth and the majority of them detest the Truth (abhor what’s Right)
{As an aside, you won't catch me saying that; although being accused of lunacy puts me in good company, I can only say 'Thanks for lending me a quarter when I was a nickle short, and for being the Front Man in all of this'--but I still don't appreciate the 'antenna on her head' wisecrack!}

Insight into what 21:11-21:17 imply is Riveting.

While these Signs re-inforce that the main drive behind Revelation is a Final Justice, it is Justice served on Multiple Levels.

At first glance, it is an Unjust Community that is held accountable and done away with to be supplanted by more deserving people; but on finer inspection, it is not only communal punishment, but the Accounting is to take place on a Personal level.

Moreover, the Accounting is taking place contemporaneous to and not in lieu of Life going on as usual. It is clear that those meted out Punishment are actually expected to continue to frequent their 'temptations' and their 'dwellings' while they are at the same time Accounting or taking stock of what they are doing. 'Do not Run Away,' or 'do not leave', would indicate that they are held in place.

This is quite ominous, since it would seem that even the Grave is not an escape hatch from what one does in Life.

Where is Heaven? Where is Hell?

It would appear one need not look any farther than at their next-door neighbor or their own backyard!

This Realization brings to the fore the pressing nature of Revelation, and why it is important to be aware that this is what is going on.

It could be that not only do we not know what Time it is, but many of us are completely Oblivious to our own demise since it all might look the same to the Uninformed. (To get the picture, consider earlier postings on Multiple Dimensions and Escher's work 'Relativity')

Surah 26 The Poets continues the narrative about some of the Prophets mentioned in Surah 21 The Prophets, and adds lesser known ones such as Saleh and Hud.

And while each Prophet's speaking part, either addressing God or their respective communities, is captured in the narrative the message centers around the need to delineate the differences between the manner in which Prophets speak versus what Poets have to say.

It is indicated that while Prophets say what appears to be the most astonishing things, they are coming from a place of Knowing exactly what it is they are saying, compared to Poets who may be saying more acceptable things but for the most part they are just hitting on the right elements by chance (in their wandering/creative process).

It is hard to pick any one quote over another of the Prophets' in this Surah, but in Abraham's appeal, the ultimate goal that each is striving for is summed up rather nicely. So I selected a sound bite of his, given that he is arguably the Father of all the Prophets, and it connects very well with the discourse here about the Message and why it is propagated:

26 Al-Anbya (The Prophets)
26:84 (and Abraham prayed) "And grant me the language (tongue) of verity (genuienness, ratification) among those who come later (progeny)."

So for Abraham it was of paramount importance that the Message find its way into all languages and be carried on to the next generations without distortion (Ratified); and that over time the Truth of the Message would prevail and in so doing it would be Authenticated as it propagates.

One can appreciate what a daunting task this must have been before the advent of computers and telephony; but then, it is also understandable why things got lost in the translation.

While some Prophets promoted it 'by the Sword', and others 'by the Pen', it is not by chance that Mary is mentioned in Surah 21 The Prophets. Mary established her unique place in the Prophethood in that how she 'carried the Message' can never be replicated; Kudos to Mary (pbuh) for scoring the highest points in all categories, including Creativity, Difficulty, and Delivery.

And if anyone is of the opinion that God would in any way harm her endevours by 'Sacrificing' what sprung out of her, go back and read about multiple dimensions.

The Quran is adamant that Jesus was not Crucified and that it only 'appeared so to them'.

They saw some effigy of what they passed on as history and while those who followed from that lost community go around having 'Elvis sightings'*** nowadays, the rest of us who know better get Jesus to walk us home after a three-day trip to a tech convention (he is forever young and still a redhead and he obviously never sat for a portrait!). :

If the categorical refutation that the Crucifixion took place, as related many centuries after Jesus, seems like pulling the rug out from under what is understood to be Christianity--it is not at all, since the fundamental definition of a Christian is 'one who recognizes the Christ'; it has nothing to do with vicarious redemption by the Crucifixion, believing Jesus is God in the flesh, being born to suffer and atone based on the concept of 'an Original Sin' (they've all been tried by now) or any other doctrine that came at the heels of having learned about Jesus (pbuh).

While it is convenient to sort or categorize people by their beliefs or culture, their occupation or affiliation, it may be that the way to differentiate among people most clearly is in the way they act or their mannerisms. To this end there are Chapters that mention groups of people according to a characteristic or condition, including: 37 Saffat, 59 Tahashur, 62 Jum’a, 77 Mursilat, 83 Mutaffafin, and 107 Ma’un.

In 37 As-Saffat, the roots صاف 'saaf' meaning 'unclouded/clear' or 'puristic' , صف 'suf' meaning 'row' or 'queue', and صافي 'safi' meaning 'net', are all just as valid in the understanding of the text in the preamble, but it is very clear that the meanings 'ranked' or 'ranged' are the primary sense of the words when those speaking in Signs 37:164-37:165 make it perfectly clear that there is not one of them that does not know that they each have a known denominator or 'common characteristic' and that 'they are indeed the ones arrayed or ranged according to rank.' Although 37:164 is often interpreted to mean 'there is not one of us who does not have a known place,' the word مَقَامٌ 'maqam' primarily means 'denominator' and I think the misunderstanding has to do with confusing it with another similar word, 'makaan', which means 'location' or 'place.'

And while, historically, it has been understood that those speaking in 37:164-37:165 are in fact the Angels, there is nothing to keep this arrangement from being the accepted structure of how everything else is organized and propagating in similar fashion throughout Creation.

37 Surah As-Saffat (Ranged, Clear, Perfected)
37:1 وَالصَّافَّاتِ صَفًّا
37:1 By those Ranged In Ranks (And this Clear Ordered Description)
فَالزَّاجِرَاتِ زَجْرً 37:2
37:2 Thus the Injunctions are Enjoined (By it the Injunctions are Imposed)
37:3 Such that Subsequently there is Remembrance (In that those that next follow are Men)
37:4 Indeed your God is One (Singular) (You have Only One God)
37:164 And there is not one of us but has a known 'denominator' (known common characteristic; degree or level of quality; average standard)
37:165 And indeed it is we that are arranged in ranks (orderly arrayed, but also 'networked', 'making things clear')

And just as Surah 37 is referring to both Messages or Injunctions and Ranged 'Nass', Surah 77 Mursilat seems to be talking about the Weather (Clouds or the Winds as Emissaries) while simultaneously informing us of the activities of الْمُرْسَلَاتِ the 'Mursilat' as 'trasmitters, despatchers, dispatchers, senders, shippers'.

Surah 77 Al-Mursilat (Winds, Transmitters...)
77:1 By the Customary Emmissaries (Usually taken to mean the Clouds or Prevailing Winds; alternatively--'By the Known Transmitters' or 'And the Transmitters Know'; 'By what the Posters Impart'; 'And the Senders Realize'...)
77:2 Thereby the Stormiest Winds (Thereby Devestating the Unruly)
77:3 And the Publishers Publish (And the Diffusers (those charged with softening or spreading the Light) Broadcast or Widely Make it Public)
77:4 Such that by Differences Team (So that those with Differences are Differentiated or are grouped by differences)
77:5 And those Lying are Admonished (What Lies Open is Remembered; alternatively-- 'Those Fired are Men')
77:6 Apologies or Vows (Excuses or Promises)
إِنَّمَا تُوعَدُونَ لَوَاقِعٌ 77:7
77:7 Indeed, what We Promise Is Reality (What We have Appointed for you has Befallen)
77:8 So when the Stars Blur (are Effaced, Obliterated)
77:9 And when the Sky Gaps
77:10 And when the Mountains Blow Up (Sinking, Blasted...)
77:11 And when the Messengers are Received (Arrive at their Appointed Time; alternatively 'the GNU kernel is completed'--sounds like you have some work to do)
77:12 Any Day Postponed (Any day may be Postponed)
77:13 For the Day of Distinction (الْفَصْلِ 'al-fasl' used here to mean 'Distinction' has synonyms with equal weight including: Separation, Disjunction, Detail, Elaboration, Disentanglement, Segregation, Differentiation, Dissociation from, Judgment...)

Astute followers of this blog may remember why Disentanglement is a valuable activity; given the earlier description of how the 'the firmament is interwoven.' And like we have come to expect, the Quran teaches by presenting dichotomies or dualities for consideration; so just as there are those performing beneficial deeds, there are those whose deeds only serve to make things worse. They are mentioned in Surah 83 Al-Mutaffifin.

Surah 83 Al-Mutaffifin (Defrauders, or Those Who Short The Measure)
83:1 Woe betides the Defrauders (those who Short the Measure, Cheat the Balance)
83:2 Those that when they gather (amass, collect) from the 'nass' (others) want payment in full (others to meet their obligations in full)
83:3 And when they have to pay they diminish their scales (short the measure, lessen their balance)
83:4 Not thinking those are Envoys (it would appear those noticing the shortage are official representatives or emissaries)

A cursory glance at the first 5 Signs of Surah 83 makes us think 'Well, it's business as usual!', but the deeper meaning is that the 'Cheaters' are those that want great things for themselves while depriving others of the very same (Think 'Mid-East Crisis', and see why it's funny--how many of you saw the large UFO over Israel in August 1996? If it was not Mir in its orbit over the course of those 3 nights then it was 'just Jerusalem landing'--again, this time on camera. I still can't figure out if they spat on me or sprinkled me with Holy Water for that trick--I thought I was being Creative.)

And just like the Defrauders make it bad for others while making things worse for themselves, the Liars, Hypocrites and the Dispossessors are duly mentioned in Surah 107 Al-Ma'un.

Surah 107 Al-Ma'un (Basic Necessities, Small Kindness)
107:1 Are you Aware of those who deny The Faith (personal beliefs and values, moral law)?
107:2 And they Repulse the Orphan
107:3 And they Do Not Provide for the Feeding of the Poor (Indigent)
107:4 Woe betide the Hypocrites!
107:6 They who Show Off (make a prentese at prayer for appearances sake)
107:7 And Disallow the Least Kindness (do not allow others what is considered lit. 'acceptable' (like showing one's face in public, getting an education, or an opportunity on par with others); basic necessities, a small kindness)

Well, you might wonder, where does that leave the rest of us? It appears in order to get a ringside seat we should avoid doing what the sorts in Chapters 83 and 107 are discovered doing by the Emissaries (aliens that we cannot readily discern from the rest of the crowd); and to answer the call along with others who Congregate when we hear it, as outlined in Surah 62 Jum'ah; and in light of the catastrophic earthquake in Haiti recently, Sign 63:10 serves as an appropriate reminder to be Charitable.

Surah 62 Jum'ah (Congregation; Gathering)
62:9 All You Believers! When You are called to Prayer on the Day of Congregation it is more Virtuous to Remember Your God and forego trade, it is Better for You if You but only knew.

Surah 63 Al-Munafiqun
63:10 And spend something from what We have provided you before Death approaches you and you say, 'My Lord, please allow me a Respite so that I may spend in Charity and thereby be among the Righteous." (Note: 'spending something' does not necessarily mean money, it can be anything you feel you have been given, including your time).

I can just hear the chorus of the trite refrain 'If there is a God why are there Earthquakes?'

The short answer is that when People behave Peacefully, the Earth will settle down, too--bizarre, but True.

The Good News is that the 'Haitian Recruits' are much more lively and chipper than the ones coming out of the Middle East right now, who tend to be crotchety at best. So, the real issue is what will this Test demonstrate about all the rest of us still left 'alive' (behind)?

In trying times we may choose to remain Oblivious or be best served to consider this Reminder::

59 Surah Al-Hashr (Al-Tahashur, The Gathering)
يَا أَيُّهَا الَّذِينَ آمَنُوا اتَّقُوا اللَّهَ وَلْتَنظُرْ نَفْسٌ مَّا قَدَّمَتْ لِغَدٍ وَاتَّقُوا اللَّهَ إِنَّ اللَّهَ خَبِيرٌ بِمَا تَعْمَلُونَ 59:18
59:18 All you Believers! Observe your duty to God. And have each Soul consider what it has sent forth on the morrow. (And again) Observe your duty to God for He is Aware of all that you do.
وَلَا تَكُونُوا كَالَّذِينَ نَسُوا اللَّهَ فَأَنسَاهُمْ أَنفُسَهُمْ أُوْلَئِكَ هُمُ الْفَاسِقُونَ 59:19
59:19 And do not be among those who are Oblivious to God (those who Forget God) so God has made them Oblivious to their own selves; those (who) are (now) Reprobates.

And if somehow this all seems like a tall order for us to fill, it is a pittance when we all stop to consider Who is asking us to Evolve.

Maybe the reason we get so easily tangled up in our little lives and lose our Perspective is because we are at times Oblivious to our own Origins (where we are in the Field) or maybe we have never truly learned how Expansive our Maker is:

59:22 هُوَ اللَّهُ الَّذِي لَا إِلَهَ إِلَّا هُوَ عَالِمُ الْغَيْبِ وَالشَّهَادَةِ هُوَ الرَّحْمَنُ الرَّحِيمُ 59:23 هُوَ اللَّهُ الَّذِي لَا إِلَهَ إِلَّا هُوَ الْمَلِكُ الْقُدُّوسُ السَّلَامُ الْمُؤْمِنُ الْمُهَيْمِنُ الْعَزِيزُ الْجَبَّارُ الْمُتَكَبِّرُ سُبْحَانَ اللَّهِ عَمَّا يُشْرِكُونَ 59:24 هُوَ اللَّهُ الْخَالِقُ الْبَارِئُ الْمُصَوِّرُ لَهُ الْأَسْمَاء الْحُسْنَى يُسَبِّحُ لَهُ مَا فِي السَّمَاوَاتِ وَالْأَرْضِ وَهُوَ الْعَزِيزُ الْحَكِيمُ

59:22 He is God, Whom there is no other Deity except Him. He Knows The Hidden and (what is) Witnessed. He is The Merciful, The Beneficent (Dispenser of Grace).

59:23 He is God, Whom there is no other Deity except Him; The Sovereign (King), The Holy, the Source of Peace (and Perfection), the Guardian of Faith, the Preserver of Safety, the Exalted in Might, the Irresistible, the Supreme (Perceptible). All Praise is due to God (for He is) above (having any of) the partners they attribute to Him.

59:24 He is God; The Creator, The Evolver, The Bestower of Forms (The Depicter).
To Him belong the Most Beautiful Names:
whatever is in the Heavens and on Earth, extols His Praises and Glory:
and He is The Exalted in Might, The Wise.

If you've made it to this point, you may be thinking I meandered too far from the main topic about the 'Nass', or the 'waves of communities' that God makes provisions for, whether they are Aware or Oblivious to His Care.

Apparently He Cares enough to keep them informed so that they may all Evolve while maintaining some focus as to what could be causing so much discord among them.

A main cause of the dissonance is Reacting to information from uncertain sources--rather than Responding based on their own Reason to what is Learned from a Reliable Source.

As mentioned in Signs 59:22-59:24 above there is a God worthy of our obeisance and judging by the description it is not in the Nature of such a God to have ever been incubated.

He can make His point in a less mundane manner. But it could be that no matter how hard one tries, there are those who choose to remain unconvinced that there even is such as thing as God or perhaps cannot come to terms with a God that is above having the need to assume a tangible form.

I suppose if I ever feel the need to worship some guy there is always my Husband, because at some level he, too, provides for me and is capable of making my life a Heaven or Hell--but I'd rather not.

For all the others that prefer to deny this Truth by defining or depicting God any other way the Quran has this to say:

109 Surah Al-Kafirun (The Nonbelievers, Deniers)
قُلْ يَا أَيُّهَا الْكَافِرُونَ109:1
109:1 Say: O you Disbelievers
لَا أَعْبُدُ مَا تَعْبُدُونَ  109:2
109:2 I do not worship what you worship
وَلَا أَنتُمْ عَابِدُونَ مَا أَعْبُدُ 109:3
109:3 Nor do you worhsip what I worship
وَلَا أَنَا عَابِدٌ مَّا عَبَدتُّمْ109:4
109:4 I do not serve what you worship
وَلَا أَنتُمْ عَابِدُونَ مَا أَعْبُدُ 109:5
109:5 Nor do you serve what I worship
لَكُمْ دِينُكُمْ وَلِيَ دِينِ 109:6
109:6 You have your Religion and I have (my) Religion (Way, Moral Law)

The most interesting thing Surah 109 illustrates is that even when there is a major divide keeping people ('nass') from seeing eye-to-eye on an issue, even one as hotly contested as Religion, at the heart of the Message is concluding Sign 109:6 espousing Tolerance; basically, 'You go your Way and I go Mine'.

I suppose believing in my God can make one feel like they can have bullets bounce off of them, but we are reminded daily that we are mortal here (and accident prone).

I s'pose that's how Depth of Faith gets tested.

While I do not recommend that you take a flying leap off a tall building to prove me Right (the landing will hurt even though you will 'survive on some level') the moral of this treatise is that you should always 'Consider the Source' before acting on any information, second to that you might want to think about the Motivation.

Around the face of the Globe, 'bad information' manipulates the populace into marginal lifestyles and often can lead to all out warfare.

In the United States the general, apparently well-founded, distrust of information and its sources translates into a plethora of conspiracy theories. : Have you heard the one about how the 'government' has a psychotronic warfare weapon that projects images against the sky that fill the horizon?

It goes by names like HAARP or BlueBeam but I like to call it 'As of 2009 they still don't have enough Bandwidth for that' Show (including soundrack).

So, if you think you have seen one (Sky Movie, Sky Holograph), remember to give credit where it's due. _______________________________________________________ ***No sooner had I penned the 'Elvis Sighting' remark (Jan. 13-14, 2010) when the very next day my teenager brings home a friend and when I asked her what her name was she said 'Elvis' and she insisted that it was her given name and not a nick name. I just about fell over backwards!