wave in space and time

[AntonioLao]

Reference: L. I. Schiff, “Quantum Mechanics”, 2nd Edition, Sec. 5, McGraw-Hill, 1955.

Strictly speaking, the applicability of quantum mechanics is based on the duality of wave and particle nature of existence. This duality is more critical for the microscopic domain. In the microworld, they are of equal footings; while in the macroworld, they can be separated into particle mechanics (Newton’s mechanics or Lagrangian mechanics) and wave or fluid mechanics (Maxwell’s or Eulerian mechanics). In all applications, a sharp distinction does not exist. Particle mechanics gave more emphases on the descriptions and definitions for mass and momentum, while wave mechanics gave more on frequency and amplitude. In purely space coordinates, the uncertainty is given by Heisenberg’s principle. But in purely time coordinates, the uncertainty is a pure number, the inverse of circumference of unit radius given as

[math]\Delta t \cdot \Delta \nu \geq \frac{1}{2\pi}[/math]

The salient point to be stressed is that when a particle is described using definition of a wave packet, we must definitely and absolutely and without question never to doubt or to inquire about the possibility of this wave packet having size and internal structure.

But this is precisely the departing argument for a theory of spatial quantization (spaon) and temporal quantization (chronon) or properly called spacetime quantization (spatimon). The algebra is called spasor, contrasting with vector and tensor or spinor.

Note: the chronon is a hypothetical unit of time, which is the ratio of the electron’s diameter and the speed of light approximately equal [math]10^{-24}[/math]. This value is [math]10^{19}[/math] times larger than Planck time of [math]10^{-43}[/math] second.

The dependence of the wave function on the uncertainty of time is an indication that for a spatimon, there is no distinction between space and time and that its motion is purely local, restricted and one dimensionally constrained at the infinitesimal region of a spacetime continuum. The spatimon can never reached and come in contact with another spatimon. The best it can do is to orbit this other spatimon at unit radius around the circumference forever. This is what each spatimon does to each other, forever go around and around in a never-ending spinning wheel. The spatimon can never know what was its starting point or its future ending point because relative to itself, it only knows that it has never moved anywhere. The principle that prevented each spatimon from knowing its absolute motion or acceleration is the principle of directional invariance. These local infinitesimal motions (LIMs) create two distinct nonequivalent topologies of spacetime.

Finally, it can be said that the universe is made up of infinite number of spatimons. Fermions are created from odd multiples of spatimons, while bosons are created from even multiples of spatimons. And the remaining even-odd spatimons take the form of the infinitely extended vacuum. Each event of odd or even shiftings, corresponding to the global motions (relative and not absolute motions) of fermions and bosons, can create more and more of even-odd spatimons giving the global illusion of spacetime expansion as is well documented and experimentally verified by Einstein’s general theory of relativity. But bear in mind that general relativity is a single topology theory of spacetime (cosmologists are still debating which is the one true topology among the three of Euclidean-zero curvature, Riemannian-positive curvature, Lobachevskian-negative curvature), while a theory of quantized space (TQS) is a dual-topology theory based on the principle of directional invariance (PDI) of spatimons and defined absolute motions locally in terms of constant accelerations (never-ending spinning wheels), while the illusive global relative linear motions are the effects of transformations between the four pure states of existence for quantized space (H), continuous space (S), energy (E), and matter (m). When S is expressed using H, then TQS can also account for the existence of antimatter similar to Dirac’s relativistic quantum mechanics, and in a much wider contrast to Schroedinger’s non-relativistic quantum mechanics.

[Lloyd Gillespie]

Reference: L. I. Schiff, “Quantum Mechanics”, 2nd Edition, Sec. 5, McGraw-Hill, 1955.
Schroedinger’s non-relativistic quantum mechanics.

Antonio, if we just take Schroedinger's non-relativistic quantum mechanics, and theoretically design two simple models of hydrodynamic motions, we can clearly see all you refer to above. The first would be a magnetite sphere, at the center of continuous solar spheres, at distance, say of our sun/earth relationship, and another germanium sphere, at the center of continuous solar spheres, at distance, same. The solar spheres will exert hydrodynamic compression on the em waves entering the magnetite sphere, which itself, also acts as an em wave hydrodynamic compressor of em waves. This means the wave radius[fields] must reduce, and spin must increase, thus producing a simplified model of hydrodynamic compression magnetism. Now, taking the second model of germanium, having the opposite molecular stucture of atom triangles, it functions as a hydrodynamic diffuser of em waves. As the solar spheres emit em waves toward the germanium sphere, upon contact, they will be scattered into slower and longer em waves, as the hydrodynamic diffusion takes place. So we have two hydrodynamic models___one of compression, and one of diffusion, as examples of how the quantum universe works at its core motions of otherwise___uncertainty. If we interpret these models further, we see em waves heading toward the electric and gamma ray spectrum, in the first magnetite model, and toward the radio and micro-wave spectrum, in the second germanium model. I state this is the simple and pure evidence of, the absolute fundamental 5th force of nature___hydrodynamics, that's controlling the universe, and all its sub-dynamics, of over-complicated gauge theory unions, and that such a simple new gauge theory of hydrodynamics can easily unite all the other four forces of nature. Einstein just didn't look deep enough___he was too enthralled with his new toys___GRT & SRT...

Everybody is simply ignoring the simple whole dynamics of hydrodynamics on all quantum states, and the uncertainty principle.

Again the mathematics and models are here; Here's two excellent sites with pics, and all formulas of the hydrodynamics of stars; http://www.fas.org/sgp/othergov/doe/...s/00248750.pdf
http://www.astro.umd.edu/~immler/Lecture_3.pdf
The foundation of the formulas in the first site is very interesting, as it comes directly from the Los Alamos years.

Regards,
Lloyd

[AntonioLao]

Everybody is simply ignoring the simple whole dynamics of hydrodynamics on all quantum states, and the uncertainty principle.

Coming from someone who understand the physics, you might be simply overestimating the ability of others to understand hydrodynamics. What I know is that it can only be completely describe by nonlinear equations similar to Navier-Stokes to which I understand do not present exact solutions in closed form.

[Lloyd Gillespie]

Coming from someone who understand the physics, you might be simply overestimating the ability of others to understand hydrodynamics. What I know is that it can only be completely describe by nonlinear equations similar to Navier-Stokes to which I understand do not present exact solutions in closed form.

May I redirect your attention to:

A REVIEW OF OYIBO’S GRAND UNIFIED THEOREM

With Realizations of a Hierarchy of Oyibo-Einstein Relativities

A.O.E. Animalu,
Institute for Basic Research,
4A Limpopo Street, FHA, Maitama, Abuja &
Department of Physics and Astronomy
University of Nigeria, Nsukka, Nigeria
(e-mail: nascience@aol.com)

Abstract

Recently Gabriel Oyibo, a Professor of Mathematics at OFAPPIT Institute of
Technology, New York, U.S.A. has written two books published by Nova Science
Publishers, New York, USA under the single title

Grand Unified Theorem (GUT)

and two different subtitles:
(a)

Representation of the Unified Theory or the Theory of Everything ISBN
1-59033-134-6 (Copyright © 2001) (referred to as GUT-I), and

(b) Discovery of the Theory of Everything and the Fundamental Building
Block of Quantum Theory. ISBN 1-1-59033-835-9 (Copyright © 2004)

(referred to as GUT-II)

http://www.math.buffalo.edu/mad/phys...GUTreview1.pdf

The nonlinear equations similar to Navier-Stokes, actually Navier-Stokes, are dealt with in Oyibo's two books, listed above. It's not the completed hydrodynamic model I'm talking about, but it's a large piece of it. More of the links are on the other post you responded to me about, "Vacuum Impulse". I especially like Alaxender Zazerskiy's ideas, at:
http://www.ltn.lv/~elefzaze/
Also, Oyibo actually shows electrodynamics, hydrodynamically posed in a drop of water, on his post, above. I think these two men's ideas are well worth the read.

Here's how far I am into the theorizing so far; E=MC^2 equals E=SH^2. This is the identicality formulas of quantum mass and sub-quantum mass solutions. In the second formula, E is still energy, except meaning total universal motion forces, but S is total fundamental space substance, and H is total fundamental hydrodynamic sub-quantum force, and can also be applied to all of finiteness' forces. Einstein's or Heisenberg's formulas of relativity and quantum mechanics are inadequate to describe events before first star actions, because they depend on the velocity of C, and C didn't exist before first star, so the new sub-quantum models and maths are being developed by a small handful of physicists and mathematicians, around the world. The newest aspects of the total field are in its infancy, but proceeding rapidly.

Hope this helps,
Lloyd

[AntonioLao]

first star actions

Do you think the action of first star could be equivalent to Landau's zero sound?

[Lloyd Gillespie]

Do you think the action of first star could be equivalent to Landau's zero sound?

This is a link to his Nobel Prize statement, since he wasn't present to accept: http://nobelprize.org/nobel_prizes/p...962/press.html
Landau's zero sound is certainly one of the many aspects of low temperature physics, influencing the fundamental hydrodynamics of first star formation. Yes, it would certainly be present, as all motion makes noise, especially when exploding, thus sound waves are a piece in the zero temperature puzzle. And if they make a noise, that means they have mass___a piece of the "mass gap." Landau was a brilliant physicist, as he theorized in liquids, and as whole movements of...

Regards,
Lloyd

[AntonioLao]

Landau's zero sound is certainly one of the many aspects of low temperature physics

Thank for your confirmation. I will continue investigate QHD in connection with my work on the quantization of spacetime.