Quantization

Discussion concerning the first major re-evaluation of Dewey B. Larson's Reciprocal System of theory, updated to include counterspace (Etheric spaces), projective geometry, and the non-local aspects of time/space.
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Horace
Posts: 276
Joined: Sat Apr 15, 2006 3:40 pm

Quantization

Post by Horace »

Why mainstream science acknowledges the quantization of EM energy, charge, etc... but not the quantization of kinetic energy ?

Mathis mentions this quantization in this article, but he's not exactly mainstream.
http://milesmathis.com/manh.pdf

He does not state explicitly that the direction (or magnitude) of velocity CANNOT change more frequently, than the Planck's time (or the longer RS unit-time) although his kinematic analysis supports this conclusion, i.e.: the acceleration within unit boundaries must be zero.
rossum
Posts: 33
Joined: Thu Jan 17, 2013 1:36 am

Re: Quantization

Post by rossum »

It is important to understand that in mainstream physics - in QM there is no quantization of energy per se - energy can have any value. The quantization of energy to energy to energy levels is a result of quantization of moment of inertia. It follows that energy is quantized only relative to given potential and mass. In classical QM (both Schrodinger and Dirac) potential is simply from classical electrodynamics. In quantum field theory the potential is treated as a material field, so as a result potential is somewhat quantized but only relative to space. And since space is not quantized, there is no "visible" quantization.

Let me outline how the energies are quantized in QM (for simplicity let focus on 1 particle problem in hydrogen like atom): First you get yourself a potential, say the classical "inverse square law":

V = -\frac{K}{r}

(where K is potential constant say \frac{e^2}{4\pi\epsilon_0} and r is the distance from the source) plug it into the Schrodinger equation

\frac{\hbar^2}{2m}\Delta\Psi+V\Psi=E\Psi

and solve the eigenvalue problem. The result will be a set of energies (eigenvalues) and associated wavefunctions (eigenvectors). Solving the equation is far from trivial, but can be fully understood in several hours, anyway that's just mathematics. By doing this you can find out that the equation can be solved only for some negative energies, but all positive energies. And this is how the energies are quantized.
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