Solving the d’Alembert Equation

OK thanks, the d’Alembert wave equation (6) of this note is an important equation to solve, for m(r) = 1 the plane wave is a solution. and m(r) will modify the plane wave. If some model m(r) functions are used, Maxima may be able to find a well behaved psi. The only restriction is that partial m(r) / partial r must be non zero in order for the strong force to exist. So numerical experiments like this are going to be very interesting. Eq. (6) is also of basic importance for photon mass theory. As you mentioned, m(r) may indicate an internal structure of the photon. I think that this m theory is a great improvement over the old physics. I suggest first of all using m(r) = 1 in Eq. (6), then Maxima should give a plane wave for psi. This is meant to be a test, because partial (r) / partial r must be non zero in order for a strong force to exist in m theory. The strong field between a neutron and a proton propagates in time and space, so I think that a d’Alembert equation is needed.

Discussion of Note 433(3): The Masses of Elementary Particle Beams

This note confirms my supposition that there was a sign error in the wave equation (5/6) in our earlier calculations. Now the eigenvalue equation (8) has the standard form known from literature which is good. However the minus sign in front of the nabla operator in (5) leads to problems. Instead of declining solutions the Bessel-like solutions now rise for r –> inf. Anyhow we have to resolve this problem.

Horst

Am 08.03.2019 um 13:02 schrieb Myron Evans:

433(3): The Masses of Elementary Particle Beams

This note derives the d’Alembert wave equation (6) in which appears the classical m(r) function. Having calculated the wave function the expectation value of m(r) gives the number of particles that mediate any particular interaction of nucleons. The wave function in general is a function of r and t, but for a standing wave it is a function of r. Having computed psi the expectation value of m(r) can be computed. The number of eigenvalues of m(r) gives the number of elementary particles.


%d bloggers like this: