Elastic and Inelastic Scattering Theory

Feed: Dr. Myron Evans
Posted on: Wednesday, November 10, 2010 9:15 AM
Author: metric345
Subject: Elastic and Inelastic Scattering Theory

This is essentially the same as the equations for note 163. There is non zero energy transfer. So the theory of inelastic electron and neutron scattering for example will suffer from the same catastrophic defects as the theory of Compton scattering. Elastic scattering is defined as zero energy transfer and magnitudes of wave vectors the same. Scattering theory is self inconsistent on the most fundamental level so will remain so on any level. So I will develop this point next. The vast amount of experimental work done on crystallography is of course unaffected, but its natural philosophy has been overturned by UFT 158 to 162, and notes so far for 163. Scattering theory in general rests on:

E = h bar omega = h bar (omega sub f – omega sub i)

p = h bar Q = h bar (kappa sub f – kappa sub i)

and only these equations are used (www.isis.stfc.ac.uk, google “inelastic scattering theory”). The trouble starts when one uses

E = h bar omega = gamma m c squared
p = h bar kappa = gamma m v

and we already know from equal mass scattering in UFT 158 to 162 that the theory will collapse entirely. The masses must be replaced by covariant masses.

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Atomic Beam Diffraction and Neutron Diffraction

Feed: Dr. Myron Evans
Posted on: Tuesday, November 09, 2010 6:40 AM
Author: metric345
Subject: Atomic Beam Diffraction and Neutron Diffraction

Could be tried, the relativistic kinetic energy is

T = E – E0 = (gamma – 1) m c squared

The electron at rest in this case would have no rest energy (E0), which contradicts nuclear physics.

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Atomic Beam Diffraction and Neutron Diffraction

Feed: Dr. Myron Evans
Posted on: Tuesday, November 09, 2010 5:48 AM
Author: metric345
Subject: Atomic Beam Diffraction and Neutron Diffraction

These are two more experiments that show the wave nature of matter. Another is the Sagnac effect with electron beams. If a Young interferometer is set up for atomic beam or neutron diffraction, and the diffracting beams are disturbed by for example an electron beam at different angles, that would be an experimental test of the type described in notes 163(1) and 162(2). There must be extensive data on electron Compton scattering, already existing data that can be used as in UFT 159 and 160. The idea of wave particle duality is correct insofar as

p = h bar kappa

but if we dig a little deeper it is found that the theory does not work if we try:

p = h bar kappa = gamma m v

combined with

E = h bar omega = gamma m c squared.

and energy and momentum conservation. To find the point of collapse of the theory was by no means trivial. The computer algebra could not do it, and human experience was needed.

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Electron Diffraction

Feed: Dr. Myron Evans
Posted on: Tuesday, November 09, 2010 5:30 AM
Author: metric345
Subject: Electron Diffraction

This is the archetypical experiment to prove that the electron is a wave. My idea is to disturb the wavelength of the electron beam with a gamma ray beam colliding with the electron beam at various angles. The interference pattern is not that of the gamma rays, but that of the electron waves. The change in the electron wave interferogram is easily measurable for the Aharonov Bohn effect for example, when Chambers put an iron whisker between the electron beams. Electron diffraction is also used in electron microscopes. L. H. Ryder describes the AB effect on pp. 98 ff. of his book, “Quantum Field Theory”. This AB theory is incorrect but the experimental set up and basic diffraction theory is OK. The phase difference between electron waves form the two openings of a Young interferometer is:

delta = 2 pi a / lambda

where a is geometrical and lambda the electron wavelength. The experiment can be repeated with an electron beam replacing the gamma wave beam, so that there is electron electron collision. In both cases there should be a shift a which is a function of angle and so on. The easiest thing to do is to take data form the electron Compton effect, which is a well known technique based on the modification of an electron microscope. We have already shown that the theory fails completely using data from a Canadian group.

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The Concept of Covariant Mass

Feed: Dr. Myron Evans
Posted on: Friday, November 05, 2010 2:53 AM
Author: metric345
Subject: The Concept of Covariant Mass

I would suggest that use be made of the covariant mass of ECE theory, defined by:

R = (mc / h bar) squared

R is defined directly from geometry, the very fundamental tetrad postulate of Cartan. The interaction of a photon and electron is governed by two ECE wave equations, in fact I have already developed this method in papers such as UFT 19 and 78. Advanced computational methods need to be applied.

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162(3): Setting up the Equations for Raman Scattering

Feed: Dr. Myron Evans
Posted on: Sunday, October 31, 2010 8:25 AM
Author: metric345
Subject: 162(3): Setting up the Equations for Raman Scattering

This note sets up the equations of Raman scattering with momentum conservation. The equations will be solved in a following note. It is shown that each orbital has a net non-zero linear momentum p. The centrifugal part of the potential in the H atom for example is

V (centrifugal) = p squared / (2 mu)

where mu is the reduced mass. Therefore in Raman scattering there must be conservation of momentum. This elementary fact has apparently never been considered in Raman scattering. If it is considered the theory of Raman scattering will collapse in the same way as that of the Compton effect and absorption. The theory will seem to be true from energy conservation alone, but with both energy and momentum conservation and with the de Broglie postulates, staggering self inconsistencies will appear. These inconsistencies can only be addressed with general relativity as corrected by ECE – The October Postulates. It is now known that the original general relativity of Einstein is mathematically incorrect unfortunately, but has been cured satisfactorily by ECE. So as Einstein himself wrote many times, quantum mechanics of the old type was incomplete.

a162ndpapernotes3.pdf

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Raman and Neutron Scattering

Feed: Dr. Myron Evans
Posted on: Friday, October 29, 2010 10:57 PM
Author: metric345
Subject: Raman and Neutron Scattering

I would say that the Dirac equation describes the case of a free particle, with the mass m0. When there is field / particle interaction, m becomes the covariant mass:

m = (h bar / c) root R

I have been referring to R as curvature but more accurately it depends on torsion and curvature. R is the last vestige of the old Einstein general relativity, in which R = – kT. As soon as momentum conservation is considered the old physics fails very badly, indeed fails completely. It can describe only the energy conservation. In quantum field theory Ryder describes the methods of dealing with more than one particle in quantum field theory. we are right at the start of a new era in natural philosophy, so anyone’s ideas are equally valid provided they can be put into mathematics and are not too vague.

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