Updated Pulsoid Theory Posts

[Epsilon=One]

Updated Pulsoid Theory (http://www.physicsmathforums.com/forumdisplay.php?f=63) Posts, as of: 10-20-07

See:
........A Note from the Author (http://www.physicsmathforums.com/showthread.php?t=2587): 4-12-07
........Pulsoid Theory is . . . (http://www.CQthus.com/PT/PTis): 9-4-06
........Pulsoid Theory: An Overview (http://www.physicsmathforums.com/showthread.php?t=128): 7-9-06
........Pulsoid Theory: A Summary (http://www.physicsmathforums.com/showthread.php?t=214): 2-5-06
........A Challenge to Academe (http://www.physicsmathforums.com/showthread.php?t=288): 11-9-05

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Ultron Ellipse (http://physicsmathforums.com/showthread.php?t=183)
http://www.CQthus.com/PT/Ellipses/ue.GIF (http://www.physicsmathforums.com/showthread.php?t=210)

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10-20-07
The meaning of existence (http://MoE.101123.com)
5-13-07
"Ignore"-ance and the ellipse (http://www.CQthus.com/PT/Ignore)
5-.8-07
A Challenge to Academe (http://www.CQthus.com/PT/Challenge)
5-.7-07
Oscilloids (http://www.CQthus.com/PT/Os)
4-30-07
The cause of acceleration is not what it seems . . . (http://www.physicsmathforums.com/showthread.php?t=126)
4-29-07
Why "red-shift"? (http://www.physicsmathforums.com/showthread.php?t=144)
4-22-07
Dynamic, nonsymmetrical separation (DES) (http://www.physicsmathforums.com/showthread.php?t=1132)
Dyosphere, The (http://www.physicsmathforums.com/showthread.php?t=151)
4-13-07
A Note from the Author (http://www.physicsmathforums.com/showthread.php?t=2587)
4-11-07
CASA (http://www.physicsmathforums.com/showthread.php?t=149)
4-.7-07
Mystique of the Ellipse (http://www.physicsmathforums.com/showthread.php?t=182)
3-18-07
The Concept of a Pulsoid (http://www.physicsmathforums.com/showthread.php?t=98)
3-.9-07
Why the quantum? And, why the quantum field? (http://www.physicsmathforums.com/showthread.php?t=2461)
3-.8-07
Cosmic Entanglement (http://www.physicsmathforums.com/showthread.php?t=434)
Something about particle and wave duality . . . (http://www.physicsmathforums.com/showthread.php?t=2458)
3-.5-07
Unimetry is the geometry of the Universe (http://www.physicsmathforums.com/showthread.php?t=129)
2-.9-07
The absurdities of General Relativity…
and…the...Big Bang and Black Hole theories (http://www.physicsmathforums.com/showthread.php?t=2397)
1-11-07
Dynamic, Hyper-relativistic Vectors (DHV) (http://www.physicsmathforums.com/showthread.php?t=2218)
12-.6-06
The Golden Ratio, "Phi" (http://www.physicsmathforums.com/showthread.php?t=105)
11-29-06
Life is CASA (http://www.physicsmathforums.com/showthread.php?t=149)
11-14-06
The validity and reconcilability of a universal theory of physical phenomena. (http://www.physicsmathforums.com/showthread.php?t=1901)
11-.1-06
"Dark" matter: its etiology (http://www.physicsmathforums.com/showthread.php?t=155)
10-30-06
The radius of Infinity (ROI) is knowable. (http://www.physicsmathforums.com/showthread.php?t=1727)
10-21-06
Pulsoid Theory’s relation to Reality (http://www.physicsmathforums.com/showthread.php?t=1645)
10-10-06
A Proof of God (http://www.physicsmathforums.com/showthread.php?t=1546)
10-.9-06
Brunardot Theorem, The (http://www.physicsmathforums.com/showthread.php?t=271) (BT), c² = 2v² – s²
Pulsoid Theorem, The (http://www.physicsmathforums.com/showthread.php?t=607), v = εP²
10-.1-06
Pythagorean Theorem is a Brunardot Theorem Corollary (http://www.physicsmathforums.com/showthread.php?t=1477)
9-29-06
Pulsoid Theory is . . . (http://www.physicsmathforums.com/showthread.php?t=1230)
9-27-06
Time Dilation is a Confused Concept (http://www.physicsmathforums.com/showthread.php?t=1447)
9-17-06
Elliptical Constant, εpsilon, “ε,” is, Naturally,
.................directly related to Pi, “π” (http://www.physicsmathforums.com/showthread.php?t=1373)
Quantum constants' relation to Natural integers (http://www.physicsmathforums.com/showthread.php?t=1288)
9-15-06
Elliptical Constant resurrects String Theory
.................& Resuscitates Loop Quantum Gravity (http://www.physicsmathforums.com/showthread.php?t=1348)
9-11-06
Law and Order from the Singularity’s pluperfect Chaos (http://www.physicsmathforums.com/showthread.php?t=1106)
9-.4-06
Motion (http://www.physicsmathforums.com/showthread.php?t=112)
9-.1-06
The dynamics of the Heuristic, Mathematical Atom (HMA) (http://www.physicsmathforums.com/showthread.php?t=1164)
8-.3-06
Emergent Expansion (EX) (http://www.physicsmathforums.com/showthread.php?t=1049)
7-31-06
Force, Defining (http://www.physicsmathforums.com/showthread.php?t=989)
7-25-06
Dimensions (http://www.physicsmathforums.com/showthread.php?t=113)
7-10-06
Unifying the "forces" is a hubristic, deceptive endeavor (http://www.physicsmathforums.com/showthread.php?t=846)
7-.9-06
Definition of a Particle (http://www.physicsmathforums.com/showthread.php?t=346)
Pulsoid Theory (PT): An Overview (http://www.physicsmathforums.com/showthread.php?t=128)
7-.1-06
That's all there is . . . (http://www.physicsmathforums.com/showthread.php?t=785)
6-28-06
Significance of the Brunardot Theorem, The (http://www.physicsmathforums.com/showthread.php?t=741)
6-.8-06
The Elliptical Constant (http://www.physicsmathforums.com/showthread.php?t=107) (EC)
6-.4-06
Brunardot Ellipse, The (http://www.physicsmathforums.com/showthread.php?t=104) (BE)
6-.3-06
Conceptual Ellipse, The (http://www.physicsmathforums.com/showthread.php?t=162) (CE)
5-31-06
Natural integers (http://www.physicsmathforums.com/showthread.php?t=100)
5-28-06
Resoloid, A (http://www.physicsmathforums.com/showthread.php?t=482)
5-27-06
Tini Circle Groups (http://www.physicsmathforums.com/showthread.php?t=159)
5-11-06
Seminal motion (http://www.physicsmathforums.com/showthread.php?t=179)
5-.7-06
Brunardot Spin Theory, The (http://www.physicsmathforums.com/showthread.php?t=494) (BST)
4-30-06
Why polarization? (http://www.physicsmathforums.com/showthread.php?t=145)
4-25-06
Mystique of the Emergent Ellipsoid, The (http://www.physicsmathforums.com/showthread.php?t=479)
4-24-06
On the importance of integers in Nature (http://www.physicsmathforums.com/showthread.php?t=152)
4-16-06
Brunardot Triangles (http://www.physicsmathforums.com/showthread.php?t=255)
4-13-06
Mystique of the Brunardot Ellipse (http://www.physicsmathforums.com/showthread.php?t=234)
3-22-06
The Natural Function (http://www.physicsmathforums.com/showthread.php?t=121) (NF)
3-18-06
In the beginning there is . . . (http://www.physicsmathforums.com/showthread.php?t=431)
3-11-06
Confluent Congruence (http://www.physicsmathforums.com/showthread.php?t=123) (CC)
3-.8-06
"Dark" energy: its etiology (http://www.physicsmathforums.com/showthread.php?t=154)
3-.5-06
Relative, Hierarchic Compression (http://www.physicsmathforums.com/showthread.php?t=124) (RHC)
2-20-05
An understanding of space and time (http://www.physicsmathforums.com/showthread.php?t=376)
2-.5-06
Pulsoid Theory: A Summary (http://www.physicsmathforums.com/showthread.php?t=214)
1-31-06
The Equilibrium Theory of Reality (http://www.physicsmathforums.com/showthread.php?t=131) (ETR)
1-30-06
Triquametric motion (http://www.physicsmathforums.com/showthread.php?t=101) (TM)
1-29-06
Time (http://www.physicsmathforums.com/showthread.php?t=164)
12-26-05
The Cyclical Chronology of Light (http://www.physicsmathforums.com/showthread.php?t=329)
12-25-05
The Universal, Intrinsic Clock (http://www.physicsmathforums.com/showthread.php?t=328)
12-22-05
Infinity (http://www.physicsmathforums.com/showthread.php?t=109)
12-20-05
The Conceptual Unit (http://www.physicsmathforums.com/showthread.php?t=322) (CU)
12-19-05
Infinity line (http://www.physicsmathforums.com/showthread.php?t=134)
11-22-05
The Unified Concept: The Core of Pulsoid Theory (http://www.physicsmathforums.com/showthread.php?t=298)
11-20-05
Soloids (http://www.physicsmathforums.com/showthread.php?t=172)
11-15-05
The crux of the matter . . . (http://www.physicsmathforums.com/showthread.php?t=291)
11-.9-05
revised Fibonacci sequence (http://www.physicsmathforums.com/showthread.php?t=103) (rFS)
10-24-05
"Ignore"-ance and the ellipse (http://www.physicsmathforums.com/showthread.php?t=279)
10-21-05
Brunardot Series, The (http://www.physicsmathforums.com/showthread.php?t=99)
10-20-05
Unified Concept, The (http://www.physicsmathforums.com/showthread.php?t=119) (UC)
10-16-05
Observations and Predictions of Pulsoid Theory (http://www.physicsmathforums.com/showthread.php?t=185)
10-15-05
The Metronome of Reality (http://www.physicsmathforums.com/showthread.php?t=274)
10-11-05
The Lemma Ellipse (http://www.physicsmathforums.com/showthread.php?t=266) (LE)
10-.9-05
The Pulsoidal Ellipse (http://www.physicsmathforums.com/showthread.php?t=125) (PE)
10-.6-05
A universal Proof of One (http://www.physicsmathforums.com/showthread.php?t=165) (PoO)
10-.5-05
A good personality insight (http://www.go2data.com/CQS/PT/nfl.htm)
9-23-05
The Golden Ratio Series (http://www.physicsmathforums.com/showthread.php?t=252)
9-15-05
Pulsoid Theory...unprecedented precision (http://www.physicsmathforums.com/showthread.php?t=246)
Pure Mathematics is redefined (http://www.physicsmathforums.com/showthread.php?t=244)
9-12-05
The Theoretical Physicist (http://www.physicsmathforums.com/showthread.php?t=243)
9-11-05
Notes on Gravity Theory (http://www.physicsmathforums.com/showthread.php?t=241)
9-.3-05
Cosmic Inertia (http://www.physicsmathforums.com/showthread.php?t=139) (CI)
Seminal Bonds (http://www.physicsmathforums.com/showthread.php?t=236)
8-29-05
Simple algebraic formulas generate all complexity (http://www.physicsmathforums.com/showthread.php?t=226)
8-27-05
Conceptualism (http://www.physicsmathforums.com/showthread.php?t=156)
Congeneric Realms of Reality, The (http://www.physicsmathforums.com/showthread.php?t=130)
Internal geometry of a Light wave, The (http://www.physicsmathforums.com/showthread.php?t=110)
IPSO (http://www.physicsmathforums.com/showthread.php?t=142)
Photon effect, The (http://www.physicsmathforums.com/showthread.php?t=223)
8-26-05
Mystique of the Ultron Ellipse (http://www.physicsmathforums.com/showthread.php?t=210)
8-25-05
Integer pairs preclude negative numbers (http://www.physicsmathforums.com/showthread.php?t=199)
On the Importance of Simplicity (http://www.physicsmathforums.com/showthread.php?t=114)
8-24-05
Ultron Cycle-Time Arrays (http://www.physicsmathforums.com/showthread.php?t=215)
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[Albers]

I remember being wrecked when I read in Sci. Am. about inverse radius, or curvature, solving these things. OK, I like it! (This should maybe be moved to TINI Circle Groups.)

[Epsilon=One]

I remember being wrecked when I read in Sci. Am. about inverse radius, or curvature, solving these things. OK, I like it! (This should maybe be moved to TINI Circle Groups.)It's moved.

See: Tini Circle Groups (http://www.physicsmathforums.com/showthread.php?t=159)

[Albers]

At the moment I appreciate it. #9
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Today, 16:15 #10
Norman Albers
Senior Physics Major



Join Date: 2006 Jan
Location: Singularities_R_Us
Posts: 63
falsettos

--------------------------------------------------------------------------------

In my best alto falsetto, .YES, DEAR.. I think you are intellectually a mess. I WILL NEVER GET OVER GOOD MATHEMATICS THAT YOU ARE NOT EVEN CAPABLE OF PERCIEVING BECAUSE OF YOUR STUPID ATTITUDE. Thank you for exposing yourself as the bully you are.
__________________
THE STRING UNCUT AND UNSTRUNG HAS NO NOTE.

[Albers]

Epsilon , Can I buy you a beer, or mineral water, whatever?

[Epsilon=One]

I WILL NEVER GET OVER GOOD MATHEMATICS THAT YOU ARE NOT EVEN CAPABLE OF PERCIEVING BECAUSE OF YOUR STUPID ATTITUDE. Thank you for exposing yourself as the bully you are.LOL!

Regarding the moderator from outside this forum:

1.) Keep pushing for an explanation of the Elliptical Constant (http://www.physicsmathforums.com/showthread.php?t=107). This should drive him bonkers.

2.) Then, maybe, ask him: Why is the Fibonacci sequence incomplete (http://www.physicsmathforums.com/showthread.php?t=103)?

[Epsilon=One]

Epsilon , Can I buy you a beer, or mineral water, whatever?Just keep asking skeptical questions.

[Albers]

I am slowly absorbing these mathematics, having just gotten clear on the Brunardot series. I see how you have been completely seduced by such Platonic beauty; it is a peaceful and satisfying realm. From the start I have wondered over your characterization of 'complex oscillations', as the rest of your approach commands simplicity. It is a red light to me, but I have nothing yet to offer, and maintain an entirely open mind.

[Epsilon=One]

I see how you have been completely seduced by such Platonic beauty; it is a peaceful and satisfying realm. From the start I have wondered over your characterization of 'complex oscillations', as the rest of your approach commands simplicity. It is a red light to me, but I have nothing yet to offer, and maintain an entirely open mind.For sheer poetry, just wait until I complete the mystique of the Brunardot Ellipse (http://www.physicsmathforums.com/showthread.php?t=234).

I have been holding it until last; or, until someone comes along and asks knowledgeable questions.

It is not just the Platonic beauty that should satisfy. The question is begged: "Why???" When it is answered there is little else that is fundamental to know. Particularly, when one realizes that mathematics, as is everything else . . . a construct of Nature.

Your intuition concerning complex is correct. However, I do not use the term "complex" in this context to mean the opposite of simplicity.

Perhaps, I should use another word; however, I am trying to convey a concept to the layperson; and, I'm afraid that if I said simultaneous, "triple" oscillations, or "all" fundamental oscillations acting simultaneously, that I would be more confusing. Not many persons have antennae as sensitively tuned as you have.

The oscillations that I refer to when I say “complex” are simple: slide, swing, and vibration. One component (string?), the vector, always equals half the major diameter; it “slides” back and forth between the diameter radials (from circle through all the elliptical shapes to a straight line). The vectors that meet at the ends of the minor diameter “swing” along the locus of the ellipse (sorta like a pendulum). And, the wave (focal length) “vibrates” as two solitons. There is also “vibration” along the hypotenuse/radius.

The harmony of these vibrations creates a transfer of energy (resonance) to what I call Resoloids, which I have yet to define in this forum. (I keep hoping there will be questions from Viewers that will slowly pull out all the detail. Peer review is useless in bringing these concepts to light so that they are useful to the layperson.)

It is this transfer of energy, back and forth, from an ellipsoid (the “envelope”) to groups of four spheroids that act as the “escapement” of a clock that establishes fundamental, intrinsic time (FIT) with its Conceptual Unit (http://www.physicsmathforums.com/showthread.php?t=322) (somewhat analogous to the Planck constant).

All unification of forces resides in the mystique of the Brunardot Ellipse (http://www.physicsmathforums.com/showthread.php?t=234) (Actually it has three forms: seminal and that which acts as particle and wave.), which heuristically simplifies the geometry of the seminal quantum.

Until something can be heuristically visualized all the mathematics in the world has no place to begin. A fine example is the mess that theoretical physicists find themselves in because they are without any fundamental imagination. By starting in the middle, mathematics just tangles the logic.

[Albers]

No problem, now I start to see your boogaloo, and mode stacking is my profession (tuned 2 pianos Fri.). Some weird piano strings are like this! Seriousness aside, when there is a poor termination of the speaking length from a loose bridge pin, the tone has no definable center and you rely on divine guidance.

[Epsilon=One]

No problem, now I start to see your boogaloo, and mode stacking is my profession (tuned 2 pianos Fri.). Some weird piano strings are like this! Seriousness aside, when there is a poor termination of the speaking length from a loose bridge pin, the tone has no definable center and you rely on divine guidance.A prerequisite for any advanced degree in physics should be piano tuning . . . and maybe a bit of poetry.

[Albers]

Ending my third year in college at #3 in class grade point ave., I says to myself, what shall I do with my last year in this cool place? The organist in the cathedral was Dr. Carl Weinrich, famed Deutsche-Grammophone recording artist. All that year he had let me play evenings, when he liked to have this for people coming in to sit. Now this was a four-manual Aeolian-Skinner pipe organ with full pedals and one hundred and ten ranks of pipes. It took all that year to learn this. So I sez, I would like to play this incredible insturument every night, take Chinese and Buddhist history, and get all B's. Words cannot describe Bach or Hindemith on such a machine. I listened in shock as he played Hindemith 1st Organ Sonata as everyone left. Barely able to speak, I said, Dr. Weinrich what WAS that? He said, Yah datt wass da Hindemitt! . . . . . . . . . . . .It seems you have sort of a string theory of your unique nature, and one than can be rendered in fewer colors of chalk than the Calabi-Yau.

[Epsilon=One]

I would like to play this incredible insturument every night, take Chinese and Buddhist history, and get all B's. Words cannot describe Bach or Hindemith on such a machine. I listened in shock as he played Hindemith 1st Organ Sonata as everyone left. Barely able to speak, I said, Dr. Weinrich what WAS that? He said, Yah datt wass da Hindemitt!Who sez college isn't important.

It seems you have sort of a string theory of your unique nature, and one than can be rendered in fewer colors of chalk than the Calabi-Yau.That's what I told John Schwarz; but he wasn't buying it. Of course, I knew Morrison had interest in '55 so I wasn't concerned with a "johny-come-lately"; we did exchange a few Morrison and Feynman anecdotes. I enjoy the irony of blasting ST while building its foundation.

As for Calabi-Yau I got Mathematica (Wolfram is another of my heroes) just to understand it (I didn't). It's a perfect example of the tangled mess that mathematics without vision can get you into.

[Albers]

Then maybe I will send you a box of chalks. I drive a friend crazy calling it the kohlrabi-yam theory. . . . . . . . . . . . . . . . . .ON THE OTHER HAND, one approaches multidimensionality naturally through linear algebra of matrices, rank two tensors. Now think of a population of anything, like people. How many different ways are there to characterize these members? One could imagine a large number, at least a dozen. The table of information then has twelve dimensions. Twelve coordinates describe the position of a person in this ... this would be a 12-vector. If we had seven different ways to try and make money off these people we could construct a matrix, 12x7, with which to process any candidate. Maybe then we could construct a contravariant weighting vector for each of the 7 numbers remaining after multiplication, and come out with an inner product of how much we could exploit this poor sucker, if we were capitalist business heads. Do I have this right? It's all just layers of accounting.

[Epsilon=One]

Don't knock kohlrabi and yams by association; they, with rutabagas, are among my favorites.
one approaches multidimensionality naturally through linear algebra of matrices, rank two tensors. Now think of a population of anything, like people. How many different ways are there to characterize these members? One could imagine a large number, at least a dozen. The table of information then has twelve dimensions. Twelve coordinates describe the position of a person in this ... do we call it a manifold?This I know. What's wrong with mathematicians is that they take what may apply to "like people" and willy-nilly apply it to orthogonal spatial concepts where it is ludicrous.

Yes, there are many dimensions, probably infinitely more than twelve, if you are using the term "dimension" to locate a point in the Universe (unknown levels of super galactic clusters with unknown sub-systems, etc.). However, orthogonal spatial concepts can be nicely expressed without venturing past three.

[Epsilon=One]

Do I have this right? It's all just layers of accounting.At least accountants know they must reconcile.

There isn't a single standard paradigm that is internally consistent; nor is there any that will reconcile with another.

And, these guys think they know logic and mathematics. They're running the bigest shell game in history after organized religion.

[Albers]

Afterlife in a crackerjacks box. Mass from Higgs boson fields! Yah, boy howdy! Step right this way, folks. . . . . . . . . . . . .. Speaking as an unemployed plasma physicist, this hurts good: http://en.wikipedia.org/wiki/Plasma_cosmology#Overview It is a welcome discussion of just what I have blundered into, matter/antimatter. THE RAMS-HORNS.

[Epsilon=One]

http://en.wikipedia.org/wiki/Plasma_cosmology#Overview It is a welcome discussion of just what I have blundered into, matter/antimatter.The below indent is a quote from the above link.

Do you have any idea of how this reasoning and throwing around of ill-defined concepts "rattles my cage"???

It's fine for engineers that are concerned with making things work; but, hardly answers any fundamental "Why" for the theoretical physicist.

"A plasma is an electrically-conductive collection of charged particles, possibly together with neutral particles or dust, that exhibits collective behavior and that responds as a whole to electromagnetic forces. The charged particles are usually ions and electrons resulting from heating a gas. ...Plasma physics is known to play an important role in many astrophysical phenomena."

[Albers]

This is part of what you are called upon to explain.

[Epsilon=One]

This is part of what you are called upon to explain.GIGO.

Geometrically, what is a "charged particle"?

Why is an electromagnetic force?

Where do they come from? Where do they go?

Is the phenomena operating within laws of a different physics than the standard models?

Et cetera ad nauseum.

[Albers]

Eat light meals and turn on a flourescent light.

[Albers]

Spend some time with compressible fluid flow and supersonics. I found this completely fascinating. There is a sort of upside-down symmetry once you pass through Mach 1. As you expand a supersonic flow, it speeds up! Life on the other side of the local propagation speed. Shock fronts are necessary discontinuities, rather a surprise in an otherwise continuous flow theory, and they are where the supersonic suddenly becomes subsonic.

[Epsilon=One]

Spend some time with compressible fluid flow and supersonics. I found this completely fascinating. There is a sort of upside-down symmetry once you pass through Mach 1. As you expand a supersonic flow, it speeds up! Life on the other side of the local propagation speed. Shock fronts are necessary discontinuities, rather a surprise in an otherwise continuous flow theory, and they are where the supersonic suddenly becomes subsonic.You're right on the money!!!

Everything that I understand has been based upon fluid flow.

Philip Morrison introduced me to the work of Ludwig Prandtl (http://www.fluidmech.net/msc/prandtl.htm) in 1955. Nothing has been the same since.

Morrison gave me Prandtl's book "Essentials of Fluid Dynamics... (http://www.amazon.com/gp/search/102-9889562-8908113?url=index%3Dblended&field-keywords=prandtl+essentials+of+fluid+dynamics&Go.x=6&Go.y=10)," 1953, which I still treasure.

(You may have to cut and paste the following with a preceding "www.":
amazon.com/gp/search/102-9889562-8908113?url=index%3Dblended&field-keywords=prandtl+essentials+of+fluid+dynamics&Go.x=6&Go.y=10

the thread doesn't seem to take the URL)

A section on hydrodynamic action-at-a-distance by Bjerknes is at the heart of Pulsoid Theory.

Also, More of Prandtl, See: "The Dawn of Fluid Dynamics," (http://www.wiley-vch.de/publish/en/books/ISBN3-527-40513-5/) Michael Eckert, chapter 11, "Mysterious Harmony..."

Do you have any suggested reading concerning the counterintuitive actions of supersonic flow. I would like to incorporate what I can in these threads.

[Albers]

Dang boy, I am moved. I lost my damn textbook, but I'll check stuff out. Are you sure it is appropriate for a theoretical physicist to learn from engineering?

[Albers]

I am reading on 'de Laval nozzles' and I was a bit off. A subsonic flow is necked down to bring it to Mach 1. Expansion from that radius results in higher Mach number supersonic flow. Usually the shock occurs upon exit, and it is a mess if exit pressure is too low. Our engines operate at a few km/sec exit velocity. I'll keep reading on shock fronts.

[Epsilon=One]

I am reading on 'de Laval nozzles' and I was a bit off. A subsonic flow is necked down to bring it to Mach 1. Expansion from that radius results in higher Mach number supersonic flow. Usually the shock occurs upon exit, and it is a mess if exit pressure is too low. Our engines operate at a few km/sec exit velocity. I'll keep reading on shock fronts.Thanks. Google and Wikipedia give me all I care to know about "necked down" flow. Your giving me de Laval nozzles led me to all the background I was looking for.

[Albers]

In the supersonic expansion, continuity of mass says that, yes, density decreases even as Mach Number inceases. It is not surprising this hits a limit, as it certainly will regarding mean free path. I've not looked at the details of flow losing contact and thrashing in the nozzle, but I can say this MFP is surely the regime limit. When I left Aero Engineering at Princeton in 1969, gravtitating (!) toward physics, the big problem was high atmosphere reentry dynamics, where fluid density fails to fill the bill. It's more like billiards. Now I did relativastic kinematics for Brookhaven accelerator work, but amazingly, I recently heard on radio that this problem is still to be solved, vis-a-vis rarified molecules at orbital velocities. Something to do if I fail at theoretical physics.

[Epsilon=One]

...but I can say this MFP is surely the regime limit.MFP???

...rarified molecules at orbital velocities.Molecule, vehicle, or Earth orbital velocity???

Something to do if I fail at theoretical physics.I would think that theoretical physics would be much easier.

[Albers]

Velocity relevant here is orbital reentry. I'm trying to show that the behavior brings you to where the fluid theory collapses. This may or may not be helpful to you, but it might be a good analogue, to a point. The physics of interest here is that whether the flow is sub- or supersonic, expansion must lower density, but velocity is folded the other way relatively.

[Epsilon=One]

Velocity relevant here is orbital reentry.I thought so; but it made a lot of difference, if otherwise.

I'm trying to show that the behavior brings you to where the fluid theory collapses. This may or may not be helpful to you, but it might be a good analogue, to a point.I agree; and, it is helpful . . . to a point. And, my interest does go deeper than fluids.

The physics of interest here is that whether the flow is sub- or supersonic, expansion must lower density, but velocity is folded the other way relatively.I see fundamental expansion as a slowing down of motion. As a Pulsoid (seminal quanta/quantum field) expands, its velocity of expansion slows until it reverses (thus, the pulse). This is because its energy cannot be separated from the singularity; sorta like a rubber band that snaps back after being stretched out.

[Epsilon=One]

(If no image appears below, "Click" your browser "Refresh" icon.)...http://www.CQthus.info/PT/Ellipses/Clock650.jpg


http://www.CQthus.info/PT/Ellipses/Ste1-650.gif