## lördag 28 september 2019

### Redshift in SR vs MMR

Recent posts have given evidence that Einstein's special theory of relativity SR is the result of an incorrect contradictory derivation of the Lorentz transformation from the basic physical Postulate of SR, and thus is unphysical. An alternative theory based on the same Postulate using correct logic takes the form of Many-Minds Relativity MMR.

In MMR a light source is connected to a receiver of light by a standing wave satisfying Maxwell's equations in a space-time system with the space axis connecting source to receiver. Shifting amplitude and frequency of the light source will then travel as a disturbance superimposed on the standing wave to be received at the receiver with a time delay given by the speed of light and the distance between source and receiver, and Doppler shift from motion of the source. The description of light in MMR is not as a stream of "photons" as "particles of light", which is unphysical.

Since both SR and MMR differ from Newtonian theory only for very high velocities, it is natural to compare predictions of SR and MMR with observations of large cosmological redshifts $z$ from far away galaxies receding from an observer on the Earth with very high velocity $v$.

According to SR the redshift $z$ is connected to the recession speed $v$ by the formula (with the speed of light = 1):
• $z = \sqrt{\frac{1 + v}{1 − v}}-1$ where $-1\lt v\lt 1$.
According to Peacock Cosmological Physics p. 72, this is misleading and any such temptation should be avoided. I agree: SR is unphysical and so must a SR redshift be. In particular SR does not allow a recession speed larger than the speed of light.

The accepted way to connect the redshift to the recession velocity is thus not according to SR, but instead by invoking Einstein's general theory of relativity GR to come up with the idea that it is the very "fabric of space" between source and receiver which "stretches" (see picture above) and not really the source that speeds away, which allows recession speeds larger than the speed of light with redshifts bigger than 1. This is referred to cosmological redshift connected with observations of redshifts as large as $z=8$.

In MMR we have (without taking into account the time of travel of a light signal):
•  $1+z = \frac{\lambda_r}{\lambda_s}$ with $z=v$,
where $\lambda_s$ is the wave-length of the light emitted by the galaxy source and $\lambda_r$ that observed. This is the same as the classical Doppler shift formula, where the increase of wave-length and redshift depends on the motion of the source vs the receiver.

But MMR is also compatible with the idea of "stretching of space" as simply a different space axis in the same Maxwell's equations with a speed of light = 1 underlying MMR. The observed large cosmological redshifts of far away galaxies thus appear to be compatible with MMR, but not SR.

Note also that it is not natural to invoke GR concerned with gravitation, to handle propagation of light, which is the specialty of special relativity.