Someone Started A Rumor

What is it about Americans that the 2 most often repeated phrases are "I'm sorry," and, "I love you."
Do you know what that sounds like to an alien?
It sounds like this; "I'm sorry I love you!"

And the alien can merely respond by saying, "My condolences, I understand your WIFE is a Muslim."

SomeOne searching 'been let down quotes' and 'you let me down' from unknown.unknown isp, then all traces of it vanished (and, howdie-do to our mangled-wire computer cousins at the US Army Signal Corp).
Not because there is any reason to suspect that being the case, but more than likely because someone started a rumor...that's why?
And it wasn't me. Nope, despite what anyone says I don't think I'm too good for You.
And if the let down has anything to do with my performance to demostrate my range, it was a training exercise-- putting a young-sounding voice to good use; and if my faulty memory serves, it culminated in the biggest bust of a worldwide child trafficking ring a few years later.


The phone records and chatroom snipe are probably still on your desk if not your top file drawer (and it was my cousin, Joey?, pointing me out to You in the middle of that unpartitioned office area, going through my paces on that particular afternoon--so, if I thought there was anything to hide I would not have been doing such a great job in a wide open common work area--with me being the only female in a 'bullpen' shared with 7 other male engineers, that's why it was called the 'bullpen').

And if You want to act like You don't know exactly what it is I am talking about then You deserve a bigger Oscar than the one I should get for my following Your 'I need you to go on sinning and grinning' acting direction from You Know Who?--You!

There really is no reason for me to live under such uncomfortable conditions, but seeing as how I don't even get what I work for and earn, I figure it highly unlikely that I can get what I simply ask for--not because I need any more lessons, but because I know there are more Powers at play than what those around me perceive.

For example, I have known that I am on the federal? payroll in some capacity as a government Annalist/Analyst since at least as far back as 2007 (maybe 2006) but I have yet to see a single penny of it--whatsamatter, having a little trouble making sense of the cumulative time?

See? I warned You--can't afford me?


Times like these I wonder why our family can't have our piano recitals in concert halls, like other families. (I know, it wouldn't be fair when Gabriel has more talent in His left nostril than the entire population that ever was or is or will walk the Earth, combined).

"I sometimes think we must be all mad and that we shall wake to sanity in strait-waistcoats."--BRAM STOKER, Dracula

In an ideal world (Heaven) I should be compensated for exposing my (hare) brain for Your consideration on at least the same par as world class models get for exposing their...their...their wookies (ie., other admirable/bankable hairy parts on earth).

Surah 60 Al.Mumtahhineh (The Examined One, Those Tested)
يَا أَيُّهَا الَّذِينَ آمَنُوا
 إِذَا جَاءكُمُ الْمُؤْمِنَاتُ مُهَاجِرَاتٍ فَامْتَحِنُوهُنَّ 
اللَّهُ أَعْلَمُ بِإِيمَانِهِنَّ فَإِنْ عَلِمْتُمُوهُنَّ مُؤْمِنَاتٍ
 فَلَا تَرْجِعُوهُنَّ إِلَى الْكُفَّارِ لَا هُنَّ حِلٌّ لَّهُمْ وَلَا هُمْ يَحِلُّونَ لَهُنَّ
 وَآتُوهُم مَّا أَنفَقُوا وَلَا جُنَاحَ عَلَيْكُمْ أَن تَنكِحُوهُنَّ إِذَا آتَيْتُمُوهُنَّ أُجُورَهُنَّ
وَلَا تُمْسِكُوا بِعِصَمِ الْكَوَافِرِ وَاسْأَلُوا مَا أَنفَقْتُمْ وَلْيَسْأَلُوا مَا أَنفَقُوا
 ذَلِكُمْ حُكْمُ اللَّهِ يَحْكُمُ بَيْنَكُمْ وَاللَّهُ عَلِيمٌ حَكِيمٌ  (60:10

 60:10 All You Believers (Faithful)! When believing women come to you as fugitives, examine (test) them. God Knows what's between them (among them). Then, if you ascertain them to be  believers (faithful), do not send them back to the disbelievers (infidels). They are no longer lawful to the disbelievers (unfaithful), nor are the disbelievers lawful for them (any longer). And give them whatever they may have spent. And it is not a sin for you to marry such women when you have given them first what they have earned. And do not keep (hold onto) defending disbelieving women; nor ask for (the return of) what you have spent (on them); and let the disbelievers ask for what they have spent (the are entitled to what they have spent). That is God's Judgment. God Judges between you. And God is Aware (Knowing), Wise.

But, fair is fair, and my Father predicted that I won't fall for that little beauty trick either (Really, I overheard Him on my way out the sports club telling someone He has every confidence I can pass that test, too!--I don't recall Him laying any odds on it, though.)

Check it out...Testing, Testing...
Surah 18 The Cave
إِنَّا جَعَلْنَا مَا عَلَى الْأَرْضِ زِينَةً لَّهَا لِنَبْلُوَهُمْ أَيُّهُمْ أَحْسَنُ عَمَلًا 18:7
18:7 Indeed, We Created everything  of Beauty on Earth to Test people as to which of them is Best in Conduct

( I passed this Test with flying colors, especially the night of Jan 13, 2012, when a drop dead gorgeous blond was openly flirting with me as I worked deligently on a business letter that was to be only 'a couple of paragraphs' and turned out to be 1600 words.
Don't get me wrong, I was flattered to no end--especially since the last time that happened I was 16 years old---now that I'm a semi-centurian, her attentions didn't quite ring so True.
Besides, that's a no-go for me, seeing as how I stated my position about Women earlier and found it to be much in keeping with WC Fields' feelings about Elephants.
Moreover, if they also happen to be anywhere nearly pretty enough for me to sense any kind of familial connection, then nothin' doin' --sis, 'cuz, G-Aunt, hoaxter!--And the real Killer to this non-starter Test is, I've openly stated where my true passions rest.)

Surah 20 Ta-Ha (Can You Hear Me?  'طه')
وَلَا تَمُدَّنَّ عَيْنَيْكَ إِلَى مَا مَتَّعْنَا بِهِ أَزْوَاجًا مِّنْهُمْ زَهْرَةَ الْحَيَاةِ الدُّنيَا لِنَفْتِنَهُمْ فِيهِ وَرِزْقُ رَبِّكَ خَيْرٌ وَأَبْقَى 20:131
20:131 And don't strain your eyes in longing for the splendour of the life of this world, things We have given for enjoyment to matched pairs (married couples) of them through which We Test them: but the Provision of your Lord is Better and More Enduring

(Another gimmee---what splendour are we referring to exactly? Hauling his laundry hamper up and down 2 flights of stairs while carrying his baby full term because he's too special to help with it or that he never reciprocated any of the good she's ever done for him or the support she freely gave him because he somehow finds it acceptable to abuse the 'now found to be mentally ill for saying she suffered a chronic toxic exposure from working in a sick building for umpteen frickin years?" and threatening to never let her see her children again if she so much as flinched at the despotism of living under his rule now that he would never allow for a divorce and use emotional blackmail to keep her in check---yeah, if I was God and ran this kind of test on someone, I would ...deleted for seeming contemptuous).

Surah 23 The Believers (Faithful)
وَلَقَدْ أَخَذْنَاهُم بِالْعَذَابِ فَمَا اسْتَكَانُوا لِرَبِّهِمْ وَمَا يَتَضَرَّعُونَ 23:76
23:76 And We Tested them through suffer­ing/trials, but they did not humble themselves before their Lord; nor did they ever pray (entreat/plead with Him)

(For this one, I get a Gold Star. You wanna know why? I actually saw and heard the Witnesses offer to give You a front row seat to see Me Down On My Knees; apparently, I was doing it quite a bit for some number of years that You could catch that show with some regularity--I only stopped when I got the signal that it was pointless beyond a certain threshold, see 15:98-15:99 below.)

Surah 29 The Spider
أَحَسِبَ النَّاسُ أَن يُتْرَكُوا أَن يَقُولُوا آمَنَّا وَهُمْ لَا يُفْتَنُونَ (29:2)
وَلَقَدْ فَتَنَّا الَّذِينَ مِن قَبْلِهِمْ فَلَيَعْلَمَنَّ اللَّهُ الَّذِينَ صَدَقُوا وَلَيَعْلَمَنَّ الْكَاذِبِينَ (29:3)
29:2 Do people think that they will be left (at ease simply) because they say, 'We believe', and that they will not be Tested with hardships?

(Nope, never thought that for a twinkle, but I Never thought it would drag on forever, either, because beyond the first 5 Earth Years, that, too, became pointless!
I am not doing the waking up in a hospital bed Men In Black thing, and I am not doing the Groundhog's Day thing, and I am not waking up to any walk throughs of any other scenes from any movie that was ever made or screenplay that was so much as even accepted on spec, okay--that's it! I've Had it- I had it when I called Him a RedHead and He corrected me to say that Tawny is in fact the more accurate description of the color (LIKE a LION)).

Surah 44 Smoke
وَآتَيْنَاهُم مِّنَ الْآيَاتِ مَا فِيهِ بَلَاء مُّبِينٌ 44:33
44:33 ..and We gave them such Signs as would clearly presage a Test 

(I got the Signs, all right *alright, to the effect that I started a diary, and a blog to preserve them for all posterity & what could be a Bigger Better Betoken than THE Michael Himself announcing His Presence- that was not a Sign to Presage a Test in 1992, that was like AN ANNOUNCEMENT, but I still wonder, why Me? ---there are definitely prettier, smarter, richer, taller, thinner, more powerful people--and we still have a President to the United States, or do we? And of course, those who drive nicer cars.
What? Did the world run out of virgins?
I'd already had a kid or 2; now I hear I have over 100--not bad for a woman whose own husband hasn't so much as dated her since their 7th anniversary.
Can you even imagine what that can do to a woman's self image? Let alone, anyone's ego---psshhaw, nothing!
I keep pretty busy and I still prefer being a female to being a male; if not for the fact that we don't sweat as much, than for the mere frilly lingerie incentive alone.)

Surah 72 Jinn
وَأَلَّوِ اسْتَقَامُوا عَلَى الطَّرِيقَةِ لَأَسْقَيْنَاهُم مَّاء غَدَقًا  72:16   
لِنَفْتِنَهُمْ فِيهِ وَمَن يُعْرِضْ عَن ذِكْرِ رَبِّهِ يَسْلُكْهُ عَذَابًا صَعَدًا 72:17
72:16 ...had they but tread firmly on the right path, We would have showered them with Abundance
72:17 As a Test to determine which of them would turn away from their Lord; He will thrust such (as turn away) into ever increasing torment.

(This one leaves me in a Quandary.
I tread the path, as right as it could be in the mind of a neophyte.
If we were talking averages, like engineers are wont to do, I'd say better than the average of what I saw going on around me (note, better than average, not better than everything and everyone---averages are more meaningful when we are taking a populatoin of 7 billion, because any 1 Event (Person/Thing) in and of itself may be considered as a statistical OUTLIER!
Yet, y, y, y the increasing torment?--I passed all of the above tests, and not only did I submit/surrender/give up without prompting the first time, but I tried to do it again a few weeks ago--You may remember, I even waited in the cold night air for SOMEone to haul themselves in for me to SUrrender to, and they Flaked, giving me to understand that my Unconditional Surrender is not accepted under any terms---I must have really ticked someOne off.
I now consider that my major life achievement---now, if I could only figure out Who that SomeOne is/was and where they're hiding.)

And if the disappointment stems from my having stopped praying, it's only due to this little love note:
15:98-15:99 ...pray until ....Can You guess how I interpret 'certainty'? ...
What is there left to say?

That this is how much injustice has to be tipped against me in order that they keep breeding and breathing?

... Want another demonstration?

Sasha, tell us what book you're reading at breakfast table and your sister can share her plans for running for office?

الْيَوْمَ نَخْتِمُ عَلَى أَفْوَاهِهِمْ وَتُكَلِّمُنَا أَيْدِيهِمْ وَتَشْهَدُ أَرْجُلُهُمْ بِمَا كَانُوا يَكْسِبُونَ
(36:65)
This Day We Shall Set a Seal on their mouths
but they will speak to Us with their hands,
 and their feet shall bear witness to whatever they earned in Life.
(36:65)

---
My hands r not tied, I'm free

It's not that I can't, I won't

I am not poor, just broke(n).

My G-Aunt keeps wanting to chime in with, "You know, Dear, the boys keep saying it's a sin to talk about it; but, just between us girls, headaches are a lot sexier on the Men."

I hear Him Say, 'Some fisherman you turned out to be when your net comes up empty time and again'.

I am more a 'catch and release' kind of fisherman...or some such 'sort' of thing.

And as for opting to pursue some 'weird dream' rather than to open my eyes to what's going on around me, I don't think I am as blind as some would like to believe. My 'weird dreams' manifest in physical space and time.

Take for example the image on the right--not a metaphor, but an event:
Location: ~ 34.07573, -118.38503  (~ 34° 4' 30.965" N     -118° 22' 51.363" W )
Orientation:  SSW? (same as that of the Roman reception desk)
Date: May 17, 1997
Time: 6 - 7 pm

UFO and Related Sightings Surrounding 'the event':

NEW BRIGHTON UFO SIGHTING

On April 25, 1997, the night more than 30 UFOs were seen over New Brighton, Minnesota, just north of the "Twin Cities" of  Minneapolis and St. Paul a sky watcher observed 3 UFOs in the same binocular field.

Over a course of several months… avid sky watchers have observed extremely high moving objects which traverse the sky in a few minutes…they appear solid, self-illuminated and round. These objects…named 'High Movers'...are moving in a N-to-S or S-to-N direction, with slight east and west variations… not consistent with satellites.

"Now, here is what is interesting,” an observer said, "all but two (of 7 he saw)  were moving to the northwest, towards Minnesota!... one moving to the northwest about 9:45 p.m… just as it was about to drop below the horizon… another moving near it, more to the east.. was amazed to have two in my field of vision at the same time, since viewing through binoculars greatly restricts the field of vision. A third High Mover (UFO) streaked past both of them.. I've never seen three in the sky at once...much less in the same binocular field of view."

COLORADO PILOT MYSTIFIED BY STRANGE RADIO CALL

On Monday night, May 12, 1997, a Colorado pilot was flying near Walsenburg (population 3,945) when he picked up a strange call on his radio.

"I was flying in clear VUCU sky (VUCU stands for "visibility unlimited, ceiling unlimited") when I picked up a weak communication on VoiceCom 121.5,  the common-use emergency channel… always monitored by commercial and most large private aircraft with more than one communications radio,” the pilot reported.

"As well as I could, I was able to make out someone at Flight Level One-Two-Three-Five Hundred (123,500 feet or 37,424 meters--J.T.) requesting 'immediate traffic in area.' There was obvious anxiousness in his voice, and he was talking to Air Traffic Control," he added, "The only thing I know that can travel at this altitude is the SR-71 Blackbird. Now it is not uncommon to see high-flying aircraft in this (San Luis) valley, but this guy is calling, in what must have surely seemed like some desperation, on the unsecured 121.5 emergency channel."

"I have two wonderings--was the SR-71 on recon? For what? And why was he so concerned with traffic at an altitude that few pilots have ever been at?"

 (Editor's Comment: The pilot might use the civilian emergency channel if the military frequencies were being jammed. Then again, it might be someone playing with a shortwave radio.)

HUMANOID CONTACT LOS ANGELES, CALIFORNIA

On Wednesday, May 14, 1997, around 4 pm, at the Intersection of Bundy Avenue at Santa Monica Boulevard in Los Angeles, California. (See Journal Entry for May 14, 1997 at 17:00)

TRIANGULAR UFOs OVER RICHMOND, CALIFORNIA

On Thursday, May 15, 1997, at 12:07 a.m… a few hundred yards from Interstate Highway 80.

…a black equilateral triangular object about the size of a half-dollar held at arm's length, moving swiftly to the east-northeast about five degrees north of directly overhead..."It had three lights, one at each of the vertices. These were orange-yellow and appeared as bright as fourth magnitude stars. Each light appeared to be divided into two hemispheres along the axis of motion. The object was moving in the direction of one of the vertices at a high rate of speed. The duration of my sighting was about 4 seconds."

… it passed overhead… It produced no noise except perhaps the faint sound of rushing air… the nearness of the (Interstate 80) freeway makes that impression unreliable.

Twenty hours later…at approximately 10:43 p.m…made visual contact with a UFO.

… a group of lights, perhaps eight or nine clustered near the front edge of a black triangular object with angles of about 120 degrees, 35 degrees and 25 degrees." …. "The object was traveling NE at a high speed with the largest angle in the front and the smallest angle to the NW. … it was about as large as a half-dollar held at arm's length..It passed directly overhead and made no noise, … observed this object for about 6-7 seconds. Its lights were also about fourth magnitude and looked like eyes--almond-shaped with a dark center…It should be mentioned (that) the first object was moving along a flight path out of SFO (San Francisco International Airport) used by passenger craft at high altitude.”

SKY BOOM REPORTED IN MISSOURI ON MAY 15

On Thursday, May 15, 1997, two hours before a "mysterious explosion" rocked southern Ohio and northern Kentucky, a similar blast was experienced in the city of St. Joseph, Missouri (population 76,691), located 54 miles (87 kilometers) north of Kansas City.

A spokeswoman for Offutt Air Force Base in Nebraska, said the blast was "probably a sonic boom caused by an aircraft breaking the sound barrier…that the boom might have been caused by an SR-71 flying from Beale Air Force Base in California to Andrews Air Force Base in Maryland.

Another spokesman for USAF, said "the aircraft would have been in NW Missouri about 2:30 or 3 p.m. on that afternoon.”

BLACK HELICOPTERS IN FRESNO, CALIFORNIA

On Saturday, May 17, 1997…at 10 p.m… two black helicopters in close formation, no sound, no exhaust, and no flashing lights--just a steady white light flew very close to the ground, from the SE to the NW  (Kings Canyon Road to Herndon Avenue-J.T.).

“ Definitely looked like helicopters--but very Stealth-like…they had a wide fuselage, no visible (tail) rotor, could not see underbelly--no visible landing gear. No noise of any type. No exhaust. Both were in tight formation, with one just in front of the other. The one in the rear seemed to be on the right-hand side of the one in the lead.”

On Tuesday, May 20, 1997…the city's ABC-TV affiliate, aired a 15-minute segment on UFOs…showing "a round glowing object."…(prior to the program airing) city residents had been puzzled by reports of black helicopters on patrol over McKinley, Belmont and Olive Avenues, just north of Chandler Airport.

 (Editor's Comment: From the description, the aircraft resemble the new Eurocopter NH-90. But, according to Aviation Week and Space Technology for May 27, 1997, there are only a few prototypes of the NH-90, and all are in Europe. The first NH-90s not expected to be out of production until 2002.)

FLYING TRIANGLE IN CENTRAL PENNSYLVANIA

On Sunday, May 18, 1997, at about 6:30 p.m., a handful of people …at the intersection of Pennsylvania Route 443 and Appleby Road, near Linglestown, Pennsylvania (Pa.) were startled by the appearance of a "flying triangle."

…the UFO was "to the north directly over Route 81.. was …a triangle UFOappearing to be six inches across.

…as to how high the UFO flew… it "was real low" and "moved slowly W."

… "The triangle flew overhead, moving in a WNW direction. The lights gave the appearance of protruding from the actual craft.

… lost sight of the UFO when it dropped toward forest-covered Second Mountain. The sighting took place in a rural section of Linglestown, about seven miles (11 kilometers) north of Harrisburg, the state capital of Pennsylvania.” -- Copyright 1996 - 2012 UFOINFO Editor: Joseph Trainor

Tesla Girls, Tesla Coils, She's My Tesla Goy-Um!

But Siriusly, an idea that is ahead of its Time is about as popular as the one that goes against the accepted Tide, relegating its proponent to Loopy (Round-the-Bend) status--without further introduction, I give You, Tesla!

"I hold that space cannot be curved, for the simple reason that it can have no
properties. It might as well be said that God has properties. He has not, but
only attributes and these are of our own making. Of properties we can only speak
when dealing with matter filling the space. To say that in the presence of large
bodies space becomes curved is equivalent to stating that something can act upon
nothing. I, for one, refuse to subscribe to such a view."
--Nikola Tesla
(1856-1943)

Tesla's adamant refusal to adopt the little understood yet highly regarded (then as now) views of the vanguard of his day, put him instead in league with the 'luna-tics', aka Renaissance Thinkers and Prophets, or just your run-of-the-neighborhood crazy mother.

While there is no denying that both the Theory of General & Special Relativity do a serviceable job in explaining and even predicting certain phenomena, the very fact that the one necessitates the other hints that they each are incomplete which begs for careful vetting.

And while my undistinguished career is a dim bulb compared to either Tesla's or Einstein's resplendent contributions to Science, it hasn't escaped me that Tesla may have had a real concern with Einstien's Relativity and may not have been simply casting aspersions. It may very well be the case that space itself is not 'curved' due to the presence of matter (heavy objects) since what we are observing/experiencing is a 'projection' of the True Nature of the Matter under discussion.

By 'projection' I am not refering to our simplistic view of holograms, which may serve as a good analogy, but something much deeper than that. Some 'other' physical entity that due to its extra-dimensionality (hyper-space, or whatever the common catch-phrase-of-the-day is), we cannot gauge directly but should be able to deduce its presence much the same way similes, metaphors, and music can convey something as indeterminate as what someone else is feeling without our having to sense it ourselves.

The limited 4D space-time only allows us rare glimses into the larger picture. It's a little like looking out of the porthole (A Gardner Like That One above) of an ocean-going vessel and thinking that's all there is to the ocean. Enough wrangling with the words, time for the GeoMetry (gee, i'm a tree!) using a concrete example.

{And to our left, allow me to call Your attention to the Bliss comic panel of Tuesday May 17, 2011, insinuating that a b**tch explains 'it'; an accolade meaning "Congratulations! __ (Insert Name) has now graduated UFO Academy (summa cum laude)"}
The orbit of the Moon around the Sun is a convex curve approximated by:
(400cos t + cos 13t, 400 sin t + sin 13t)

When expanded this yields:
160000 cos^2(t)+cos^2(13 t)+800 cos(13 t) cos(t)
+ 160000 sin^2(t)+sin^2(13 t)+800 sin(13 t) sin(t)

Which can then be simplified to: 160000 + 800 cos (12t)

And since we're not trying to land anyone on the Sun or the Moon, but simply doing this as an excercise to bridge the esoteric to the familiar, we can say the relationship approximates:

160000 + 800 cos (13t)
or about 40 + cos (13 t)

And, thanks to wolframalpha, the (exagerrated) curve for which appears on the right.

A few things worth mentioning about the Moon's orbit around the Sun is that it is essentially elliptical, it is locally convex, and when we consider the sidereal month of 27.32 days instead of the synodic month of 29.54 days, the ellipsoid is more like a tridecagon.

From studying the concept of 'unwrapping' curves from developmental surfaces, we learned a curve that lies on a conic surface and its ceiling projection are the same type, such that an ellipse projects as an ellipse, a parabola projects as a parabola, and a hyperbola projects as a hyperbola; although, their eccentricity may differ. And we know from observation that the radius vector (r) of objects with elliptical orbits 'sweeps equal areas in equal times'.

That last statement about elliptical orbits is how we were taught to think about orbits in school. Thinking in terms of 'uwrapping' and/or 'projecting' curves from developmental surfaces (such as cylinders and cones) simplifies this relationship since the areas are preserved in much the same way arclength is invariant, eliminating the need to consider the Time, and allowing us to focus on the spacial attributes alone.

{Proofs and more illustrations can be found at the source used here, "Unwrapping Curves from Cylinders and Cones," by Apostol & Mnatsakanian (The Mathematical Association of America, Monthly 114).}

The illustration on the left depicts a conic curve C with its 'ceiling projection' curve C0 (A ceiling projection of a conic curve is like having it lie on the surface of the cone and then the cone is 'popped' open like one would an umbrella). Conic curves projected in this manner have the following attributes:

1. a focus at the Vertex of the cone
2. a directrix L at a line of intersection of the cutting plane and the ceiling plane
3. eccentricity denoted by lambda = tan (alpha) tan (beta)
4. is a polar equation:


r (phi) = r(0)/(1+ lambda*sin(phi))


Having one focus at the vertex of the cone is significant in that we know for elliptical orbits the center of mass of "...the orbiting-orbited system is at one focus of both orbits" and the general assumption is that there is "... nothing present at the other focus."


However, in the search for 'missing mass', based on conic projections of orbits and the relationships between the viewing plane and the observed point P0, and what we know of the observable 'detectable mass', it would be safe to posit that the second focus is actually the barycenter of the 'missing mass' related to P0 ( which in Reality is a projection of the Actual point P; while it cannot be observed directly from the viewing plane, however, its 'gravitational' effects probably are what manifest as the presence of the secondary focus, which makes it appear as if 'there is nothing present at the other focus').

Conic C (figure above left) and its ceiling projection Co share the following relationships:

1. the ratio of the projected curve
Co radial vector (r) to the distance (d) is constant and independent of
P or Po and is the same as eccentricity (lambda) s.t. r/d = lambda = tan
(alpha) tan (beta)

2. the polar equations
of the unwrapped curve (C) and its ceiling projection (Co) are related by a
constant k = 1/sin(alpha) s.t. R(theta) = k r(theta)

3. the area A of the projected curve Co after one complete
revolution (phi =2 pi) of unwrapping the curve C is given by:

A = E cos (beta) = S sin(alpha)= pi*rho*s

(where: E= disk area of conic C, beta = its angle of inclination, S= finite lateral surface of the cone subtended by C and its vertex, alpha = the half-angle of the cone with vertex angle=2(alpha), rho = radius of the cone base, s= unwrapped arclength of C on the surface of the cone.

A generalized conic is a planar curve generated when a conic curve is projected onto a ceiling plane with a focus at the vertex (V) of the cone. In the figure above a generalized ellipse with period interval length 2pi/k, k=5.5, lambda = 0.22 is generated after 1 period only. In (b) and (c) the same generalized ellipse after 5 and 11 periods, respectively.
The figure on the right depicts an approximate annual orbit of the Moon around the Sun as a generalized conic; 1-year orbit is about 13 synodic months, or 13 periods.

According to the figure on the right the period interval length is approximately
55.4 deg =2 pi/k,
giving
k=6.5

Similar shapes found in nature may be describe in the same manner.

{having run my one brain cell to the ground getting this far, time to move on to a refresher exercise otherwise known as "physics from lyrics"} And, yes, while the aim of all the above may seem nebulous, that's more owing to lack of time than understanding on my part, and the fuzziness clears right up given a little attention. A little like when expressing the simple sentiment "all roads lead to Rome" as a refomulated old Irish Blessing, "May all roads lead You Home", which could prove to be a Curse as much as a Blessing, depending on who You find waiting there for You.

The main idea is to derive the orbit as a generalized conic and consider that there is symmetry in the integral of a smooth function f over the closed boundary of a geometric curve S that is equal to the integral of the derivative of the function f ' over the figure S itself. {What she said, expressed succinctly in the equation below, and That's why Math!}


The explicit form of this relationship appears in physics time and again. The linear case as the Riemann integral (calculating the function at the endpoints of a line equals the integral of its derivative on the line); the 2-D case of integrating f over the closed curve bounding a surface equals the integral of f’ on the surface (as in Stokes’ Theorem and Ampere’s Law); the 3-D case as given by Gauss’s Law of integrating a function f over a closed surface surrounding a volume equals the integral of f’ throughout the volume. (from THE MAP OF PHYSICS, EXPLORATIONS OF NEORATIONALISM, Essays in the Nature and Uses of Reason, by Dennis Anthony)

Ceiling projections of a hole drilled (bored) through a cone’s axis.
Compare to Cassini Ovals, below.

Bean Curves, Qurartic Curves have Parametric Given By:

Ceiling projections of a hole drilled (bored) through a cone’s axis. Note: Bean Curves appear in the first column bottom row, (from Unwrapping Curves...)

Cassini Ovals, Quartic Curves Given By The Parametric

{I am no apologist, but You know by now that I pretty much forgot much of my key life experiences up to this point, especially the higher-learning part of it, but it seems I can finagle some understanding of it up to 9th grade (which includes Geometry & Trig). (And, don't be misled into thinking or trying to figure out this weird amnesia; that, while it may seem to be selective, at times I think it is a protection mechanism and at other times it may serve as the only polite way to avoid having to confront the outlandish; especially when random strangers 'say' things about me like 'why can't she remember' in the third person while they stare pointedly at me and know I am present. Since I don't know who 'they' are and none of them seem to ever bother with an introduction, I act like I don't 'hear' a thing--so, go right on talking about me to me like I am not in the room!) }

I am constantly reminded that 'it' is not about Me, and my Ego is not so grandiose nor so fragile as not to permit continuing to operate under such an assumption--that it isn't about Me. Can You imagine how paranoid I would be if I ever thought it otherwise, especially when confronted with song lyrics about "Every Breath You Take" (The Police).

So, let's just say, for argument's sake, that it is about Sting (the talent behind the aforementioned lyrics) and what Sting may have been thinking when he wrote the lyrics to "Ghost Story".

Since Sting is an Englishman by birth and speaks English as his first language and was an English teacher, it may be reasonable to assume that he means what he says and says what he means (in English)--making him one of the most literate songsters around--making his lyrics relatively easy to parse for our purposes here.

What is the force that binds the stars
I wore this mask to hide my scars
What is the power that pulls the tide
I never could find a place to hide

What moves the Earth around the Sun
What could I do but run and run and run... -excerpt from " Ghost Story" lyrics by Sting from the album "Brand New Day"

While the lyrics are profound and the experience of hearing Sting's rendition of "Ghost Story" quite moving, the answer to many of his questions is "I don't know." At the end of the song, the listener is satisfied with Sting's jump to conclusion, "I must have loved you."

Really? Is that all? Just an assertion without any proof? Just a series of observations and a lack of post doctorate studies in physics or math?

To demonstrate how well this model runs without Me, I will now show (Computer Command Copy on Write) that Sting unwittingly holds the answers to his own thoughtful questions. (Not by Magic, but by the premise that All Inspiration comes from God--that's why You should just tell me and not have to rouse Mr. Sting up from his sound slumber in the middle of the night to go multi-platinum with it.)


W/hat is= the force F, that binds the stars (Gravitational Binding Energy)...
Ŵ=∫▒〖F dx〗; Ŵ=BE ; F = dŴ/x+c= dBE/x+c



W/hat is= the P(power), that pulls(mechanical work) the tide (tidal)


W/hat moves(equation of motion for) the Earth around (polar/cylindrical/orbit) the Sun

W/hat could I(Current, Impedence, Impulse) do but run + run + run (streaming) (you could take a walk)

W in physics/math can mean a few things directly applicable to the query:

W= watt (unit of Power); W= mechanical Work; W= dimensional (w(width) or ωx (frequency); W=Lambert W function; W = W Boson.


Just a cursory look at the lyrics indicates that they break down the physics in somewhat of a coherent way, in that Work is the amount of energy transferred by a force acting through a distance in the direction (vector) of the force. The units for Work and Energy are the same (joules), scalar quantities, and Watts are units of Power which is the amount of energy expended or work done per unit time (dW/dt)--a differential.

Sting's veiled, yet keen, insight is more evident when W is understood to be the Lambert Function, which provides an exact solution to the quantum-mechanical double-well Dirac delta function model which consists of a time-independent Schrödinger equation for a particle in a potential well defined in one dimension. Applications of the Lambert W function is ubiquitous in physics including, but not limited to, the areas of atomic, molecular, and optical physics.

And while W as width may seem out of place with the other W indicators, it makes perfect sense in this context when considering Feynman's assertion, and it seems only appropriate that Feynman be mentioned along with Tesla and Einstein:

• "These notions of potential and kinetic energy depend on a notion of lengthscale. For example, one can speak of macroscopic potential and kinetic energy,
  which do not include thermal potential and kinetic energy. Also what is called
  chemical potential energy (below) is a macroscopic notion, and closer
  examination shows that it is really the sum of the potential and kinetic energy
  on the atomic and subatomic scale. Similar remarks apply to nuclear "potential"
  energy and most other forms of energy. This dependence on length scale is
  non-problematic if the various length scales are decoupled, as is often the case
  ... but confusion can arise when different length scales are coupled, for
  instance when friction converts macroscopic work into microscopic thermal
  energy."--Feynman

Feynman specifies "length" but the general meaning is a scale of 1-dimension, so, length, width, height, etc. are exchangeable. Of course, what Feynman is really talking about, in physics parlance, is the idea of fractals "As Above, So Below."

The /hat (^ ) operator, usually presented over a value or function means: Fourier transform; the element removed from a set; a unit vector (a dimensionless vector with magnitude 1); or used to denote an estimator or an estimated value x vs theoretical x. Read as x-hat or x-roof, where x represents the character under the hat.

Given the various interpretations of W above, the implications are:

• since Work, Energy, and Power are scalar in our 4D space-time, in order for them to be understood as vectors, they must be moved up a notch (or 2 or more) in order for w/hat to make sense as a unit vector (dimensionally speaking); so, based on the 'lyrics to physics' these relationships hold true in higher order dimensions as non-scalars. {So w/hat if I'm wrong? The Theory Of Everything must include Everything from A Tree Grows in Brooklyn to the Kitchen Sink!}
  
  ..look, a joke can run its course and in this case been taken too far, but I have to say hearing "the wife" reference coming from strangers is offensive to say the least and utterly ignorant & insensitive to put it mildly.{I need to see my Father, stop paying bills & stop getting e-mails at the office from colleagues who verify my e-mail address is not ever in their send log}

Inscrutable Scruples

Checkered Past Includes Having Been Seen In a Bunny Suit

...On More Than One Occasion.

Okay, Okay. If you haven't guessed it by now I'll just have to admit it.

I am the Alien.

I come from a Planet where Men know how to treat a fine Cuban cigar and Women know better than to insert ignitable objects into their body cavities.

Building A Mystery

"Those in the know, Know;
...to everybody else it's just a stack of hay!"--My Mother

I know, I know, getting through A Page In The Life must seem like one must have their 'vorpal sword' ever at the ready, but there is more to language and meaning and interpretation here than synonyms, antonyms, and homonyms. A vorpal sword is a weapon used to slay the Jabberwocky and it surprised me that it recently made the Times Crossword puzzle a couple of days ago which brought to my attention another poem from Alice In Wonderland that was a spoof of the poem Speak Gently by American poet David Bates, the last two stanzas follow:

Speak gently! -- He who gave his life
To bend man's stubborn will,
When elements were in fierce strife,
Said to them, 'Peace, be still.'

' Speak gently! -- 't is a little thing
Dropped in the heart's deep well;
The good, the joy, which it may bring,
Eternity shall tell.

In some parts of the world, and I still think there are some parts of the world, the word 'Um', which can sound like 'Im' depending on one's accent, means 'Mother'. And if something has the attribute of being the 'mother of a thing' it means that it is the quintessence of the thing. Keeping this in mind the word 'im.possible' takes on a whole new meaning, and something that conveys no possibility whatsoever comes to mean 'the mother of all that is possible'---endless possibilities.
During the opening scene of The Bee Movie, Jerry Sienfeld's voiceover shares with the viewing audience that science says it is impossible for a bumblebee to fly based on the laws of aerodynamics, but the bee doesn't know that and it flies anyway. According to Wikipedia, this common misconception that bees "violate aerodynamic theory" traces its roots back to a 1934 French book Le Vol de Insectes by M. Magnan wherein he concluded that according to his application of equations for air resistance to the flight of the bumblebee, their flight could not be explained by fixed-wing calculations and that "One shouldn't be surprised that the results of the calculations don't square with reality".

But in fact this merely confirmed that bees do not engage in fixed-wing flight, and that their flight is explained by other mechanics, such as vortices and non-linear effects caused by the rotational rapid beating of bees' (and other insects' ) wings that are a vital source of lift. The vortices allow the bees to borrow energy from the swirls/vortices that form around their wings during flight.

It turns out that bees rotate their wings before starting the return stroke, and the wings are lifted by the eddies of air created on the downstroke and this high frequency oscillation of their wings means that many hundreds of vortices are shed every second to form symmetric vortex street patterns. Vortices inherently create drag and bees can recapture some of this energy and use it to improve speed and maneuverability.

Aerodynamics is simply a specialized study of general fluid dynamics, and on earth the most common fluids under flow are water and wind. Hydrodynamics explains water's action and the Aeolian processes describes wind's activity; more specifically, the winds' ability to shape the surface of the Earth and other planets. The wind erodes, transports, and deposits materials most effectively in arid environments such as deserts and in areas with sparse vegetation and a large supply of unconsolidated sediments. While water is a much more powerful eroding force than wind these types of aeolian landscapes are greatly influenced by the aeolian process and are ever changing and shifting with the wind; unless one can get the wind to 'be still'.

Wind blowing across the desert makes for shifting sand while wind blowing across a string makes music. The Aeolian harp is driven by the von Karman vortex street effect since the motion of the wind across a string causes periodic vortices downstream that cause the string to vibrate. The sounds from the Aeolian harp are random depending on how the wind blows.

In music theory, the Aeolian mode is the sixth mode of the major scale and has the formula 1, 2, ♭3, 4, 5, ♭6, ♭7; basically, five whole steps and two half steps. Led Zeppelin's Achilles Last Stand is arguably one of the finest contemporary examples of this classical music mode.

But our purpose here is not to harp on about aerodynamics, vortex streets, or aelonian music modes; eeeventually, as you may have come to expect, it all ties into what is really on my mind, and that is while many things may at first appear to be random there is no escaping that the apparent randomness may in fact be a ruse to disguise some very careful planning by an as yet Nameless One (let's call Him 'God'). {And Dear God, I know the fact that I am writing this means that I was forced into having to make a decision that Solomon himself could not adjudicate, but what the hay-- I will just keep on this track until I hear otherwise...}

قَالَ رَبِّ اغْفِرْ لِي وَهَبْ لِي مُلْكًا لَّا يَنبَغِي لِأَحَدٍ مِّنْ بَعْدِي إِنَّكَ أَنتَ الْوَهَّابُ 38:35
فَسَخَّرْنَا لَهُ الرِّيحَ تَجْرِي بِأَمْرِهِ رُخَاء حَيْثُ أَصَابَ 38:36

38:35 (Solomon) prayed: "My Lord, forgive me and grant me a Kingdom (Dominion) that will suit none other after me; for You are the Grantor of Bounties.
38:36 Consequently, We Subjected the Wind to flow gently at his (Solomon's) behest wherever he willed.

Controlling the Wind turns out to be quite a powerful force since with the proper guidance it can literally change the landscape; and the Quran depicts as much. Choosing to open with Chapters 25 and 42 and then follow with Chapters 47, 51, 56, 60 and 69 all in a row and then applying the method developed in an earlier post, A String, A Ring, A Modulos Thing, but proceeding by tens (decans) rather than singly, a similar table was established as the one for clock math in A String, A Ring, A Modulos Thing.

Surface charts and Line charts were drawn using Excel by choosing the parameters SModC, CModS, SModC/C and CModS/C in chapter order based on the decans in each chapter; 10, 20, 30..etc, depending on how many verses were in each of the selected chapters.

The data points used are the same for each chart, but the rotations for the first and third charts are x= 35 deg; y= 15 deg, z=0, perspective =5 deg; and for the second and fourth charts the rotations are x=140 deg; y= 15 deg, z=0 and perspective =15 deg.

Interpretation varies depending on the rendering, but the two surface charts resemble encampments and American Southwest landscapes (similar to the ones depicted in Eyvind Earle's lithographs) and the two line charts are remeniscent of buildings and pyramids, respectively.

And to make a long story short, this method was pursued for the first 20 chapters and the data was taken in sets of 19 until Something went Flying Off The Page.




---among others.
The Cummulative Summary charts for that particular excercise appear below as a line chart (music to my ears), Radar chart (see low order projective plane, affine transform) with the x-y axes switched (where have I seen that before?), and a Radar plot which looks like a dipiction of the 'All Seeing' Magic Eye (Iris).

_____________




The results segregated in groups of 19 without rotation:












===========Alright, Who's The Wise Guy? ...

Recall that 1 Radian is approximately 57.29 degrees.