Archive for November, 2018

note 420(3)

The Cartesian method can be used to give many interesting results as shown in previous UFT papers.

Agreed, eq. (21) is ok, anyhow I overlooked a Y^2.

Horst

Am 30.11.2018 um 10:01 schrieb Myron Evans:

Checking note 420(3)

This general Cartesian calculation looks to be very useful. Eqs. (15) to (21) are OK. Maybe these should be run through the computer to double check. Eqs. (15) to (17) are definitions, and Eq. (18) differentiates Eq. (17) on both sides. Eq. (19) is a change of variable. Eq. (20) is dimensionally correct, inverse seconds on both sides. The dimensions of Eq. (21) are correct, kgm m squared per second.

For cartesian coordinates the equations of motion can be derived for a fully general m(X,Y). It is to be considered however that this was derived from the spherically symmetric spacetime so it will make sense only for a form

m(r) = m(sqrt(X^2+Y^2)).

Several approximations are possible.
Case m(X,Y)=mu including original gamma (with mu):

Case gamma=1/sqrt(mu):

Case m(X,Y)=1/gamma^2:

The second case is the effective mass approximation with relativistic terms. The equations can be written in vector format, will do this for section 3 of the paper.

Horst

Quantization of m Theory and new fields of AIAS research

Quantization of m Theory and new fields of AIAS research

Quantization of m theory and a theory of the masses of elementary particles.

This is of obvious importance because the standard model uses empiricism that gets nowhere, sometimes almost a hundred adjustables. This is the great strength of the hamiltonian method. The lagrangian method is used in quantum field theory and the ECE wave equation can be developed for m space.

Quantization of m Theory and new fields of AIAS research
To: Myron Evans <myronevans123>

Quantized m theory could change energy levels of electron states moving near to the nucleus, i.e. in heavy elements. I recall atomic structure calculations during study time. They solved the relativistic Schrödinger and Dirac equation but energy levels of deep core state differed significantly from XPS measurements for example. I remember that some authors introduced some additional corrections in the equations, probably ad-hoc, but m theory would give this a solid base.

Another point – not necessarily related to m theory – is the curvature term in the fermion equation. I consider this as a candidate for finding masses of elementary particles by a first principles theory. I guess that some development will be necessary to develop an eigenvalue equation for example that could be solved numerically. So we would extend quantum mechanics to true general realtivity. I see this as the last field which is missing to complete the new insights brought to physics by ECE theory. This would lead our research to a preliminary completion. But as we know, each solved question raises two new questions in scientific research.

Horst

Am 30.11.2018 um 09:30 schrieb Myron Evans:

Quantization of m Theory

Agreed, the quantization of dH / dt =0 will lead to a theory similar to the time dependent Schroedinger equation in m space. I should think that there would be interesting effects in nuclear physics and in general for the masses of elementary particles.

Hamiltonian Method for m Theory

It will be very interesting to see now what the effects are on quantisation, if any, and what new insights emerge.

Sent from my Samsung Galaxy smartphone.

Note 420(6): Complete Agreement between the Hamiltonian and Lagrangian m Theory

Note 420(6)

Note 420(6): Complete Agreement between the Hamiltonian and Lagrangian m Theory

Complete agreement is obtained by using the lagrangian (8), which reduces to Eq. (11) when m(r) = 1, giving the correct limit.

a420thpapernotes6.pdf

note 420(3)

Checking note 420(3)

This general Cartesian calculation looks to be very useful. Eqs. (15) to (21) are OK. Maybe these should be run through the computer to double check. Eqs. (15) to (17) are definitions, and Eq. (18) differentiates Eq. (17) on both sides. Eq. (19) is a change of variable. Eq. (20) is dimensionally correct, inverse seconds on both sides. The dimensions of Eq. (21) are correct, kgm m squared per second.

For cartesian coordinates the equations of motion can be derived for a fully general m(X,Y). It is to be considered however that this was derived from the spherically symmetric spacetime so it will make sense only for a form

m(r) = m(sqrt(X^2+Y^2)).

Several approximations are possible.
Case m(X,Y)=mu including original gamma (with mu):

Case gamma=1/sqrt(mu):

Case m(X,Y)=1/gamma^2:

The second case is the effective mass approximation with relativistic terms. The equations can be written in vector format, will do this for section 3 of the paper.

Horst

Hamiltonian Method for m Theory

Quantization of m Theory

Agreed, the quantization of dH / dt =0 will lead to a theory similar to the time dependent Schroedinger equation in m space. I should think that there would be interesting effects in nuclear physics and in general for the masses of elementary particles.

Hamiltonian Method for m Theory

It will be very interesting to see now what the effects are on quantisation, if any, and what new insights emerge.

Sent from my Samsung Galaxy smartphone.

Fwd: 420(1): General m Theory of Galaxies

Pleasure!

Hamiltonian Method for m Theory

Hamiltonian Method for m Theory

I consider the hamiltonian method to be more fundamental than the lagrangian method and this calculation shows that the vacuum force from the hamiltonian method is Eq. (18), which is a factor of two larger than from the lagrangian method with the lagrangian chosen to be Eq. (23) as in UFT417. So to give the correct result from the hamiltonian method the lagrangian is chosen to be Eq. (26). There is freedom of choice of the lagrangian as is well known, but there is no freedom to choose the hamiltonian, which is a constant of motion as is also well known. The quantization of m theory follows as usual from the hamiltonian. So I will now proceed to write up UFT420 Sections 1 and 2. tremendous progress has been made in the past few months.

a420thpapernotes5.pdf