The Difference in Mass between Relativity and Quantum Mechanics, Also Novel Effects of the Axial Doppler Shift

If a particle has a wave function or is in other ways a moving wave, it should have an axial Doppler shift. Writers on relativity do not give moving particles that. The classic equation of quantum mechanics requires that frequency and mass have the same distortion from velocity (Doppler shift). But in the common writings on relativity mass always goes up with increases of velocity, and the transverse shift of frequency always goes down with increases of velocity [1] [2] [3] [4]. Most of this is due to simplifications and errors in the Lorentz transformation, some came from being in the aether wind era originally and because accelerators are noisy. It is not valid to say because the aether axial wind averages to zero between reflections so does axial Doppler shifts. After the first reflection in the Lorentz transformation, the light from the Sun is in Earth’s reference frame and there are no more Doppler shifts. Also the Michelson-Morley experiment is not all cases, and light is not the only thing deformed by velocity. The axial shift’s formula has the cosine of the observation angle in it. The implications are not just quantitative but also qualitative because anything with an axial Doppler shift has different values in different directions from an observer. That is the defining property of a vector and that changes its dimensions and the dimensions of the differential relations it is in. This happens with other scalar qualities as well. That means scalars such as mass and charge are now vectors and have additional dimensions. Therefore differential equations with them have additional dimensions. This includes Faraday-Maxwell’s equations and Schrodinger’s equations. Also the Doppler blue shift seems to imply additional dimensions of time another way. That is the first Lorentz transformation error; the second is assumption of non-existent symmetry.


Lack of Correction
The writers on relativity do not get corrected because the only places on Earth where there are high relativity effects are in accelerators, which are very, very noisy, and in observations where the observation angle is random (cosmic rays, radio activity). The average of axial Doppler shift over all angles is zero but if someone looks for it the variance is about one third of the maxim shift. Also Lorentz and Einstein, are academic heroes, for over 100 years, because they convinced the world that velocity changes time and space and at least qualitatively that is proven even if there is quantitate errors. Even without relativity, the two are significant in physics. Given that and the need for a powerful low noise accelerator, few experimenters will get grants to prove the existence systematic quantitative errors in relativity.
Note: Although the average of the magnitude of the axial shift over all angles is zero, the variance of the magnitude over all angles is about 1/3 of the maximum magnitude. Which means it affects energy distribution functions in gases and plasmas and distribution functions in results where angles vary randomly in measurements as in the Compton effect. Also the maximum magnitude of the axial Doppler is higher than the transverse shift.

Combining Axial and Transverse Doppler Shifts by Einstein's Second Postulate with Both Axial and Transverse Motion of the Moving Reference Frame
The source of light has a reference plane indicated by no superscript. The primed values refer to the moving observer's reference plane. The observer in Figure 1 is moving with a transverse velocity v t to the light and with a velocity v a parallel to the light. In the case of a narrow beam, the velocity of the observer cannot always be aligned with that of the beam. Also, there is no reflection here to cancel v a .
( ) In Einstein's second postulate ( c c′ = ), the speed of light appears to be same in all reference planes. Therefore, Relativity researchers take the special case of no v a by canceling out v a by ref- lection. That becomes an error of omission if it is presented as the general case.
There is no reflection in this analysis. The Michelson-Morley experiment has multiple reflections and most relativity writers say the resulting red and blue shifts cancel each other. But only the first reflection has a Doppler shift, at best. After that the light is in earth's reference frame (no more shifts). Also there still is an axial shift for the Sun's light with or without a reflection. Journal of High Energy Physics, Gravitation and Cosmology ( ) ( ) ( )

Effect of Axial Shift on Wave Functions and the Schrodinger Equation Itself
If the wave function is mathematically a wave in space and time it has the same Doppler shift as all such waves (K r ). As said before the axial shift has an observation angle in it's formula that is dependent on the position of the observed relative to the observer.
Since one needs to solve in most cases simultaneous equations in special relativity: If one wants to add quantum effects, add any equations defining the wave function.

Effect on Mass
. This is different than A test of this analysis involves Schrodinger's equation [5] [6]: Ψ, V (potential), m (mass), and E (energy) have a Doppler shift of K r . ∇ is 1/distance and ∇ has a shift of K r . Therefore, the shifts' (K r ) would cancel out in the equation. This is true only if V, E, ∇ and m have the same Doppler shift factor K.
Since one needs to solve in most cases simultaneous equations in special relativity, if one wants to add quantum effects, an equation (any) solving for the wave function must be added. But attempts at full relativistic quantum mechanics tend to fail. According to most relativity scholars, E, V, and m do not have the same (velocity distortion) Doppler shift factor as Schrodinger's equation did , and that is a contributing cause for the failures.
We measure mass by the force its fields exert on objects. If one has a moving atom with a distance λ between two quantum states of a field and velocity v, the frequency other objects see is Kv λ . This means that the energy of the atom's fields other objects see is K times the objects would see if the atom was still.
Therefore, this paper presents m m K ′ = as the best estimate of how mass is distorted by velocity.

Proposed Experimental Verification of Axial Doppler Shift on Mass
Setup: One relativity slow beam of electrons in the X direction of a low velocity v a and in the xy plane a beam of electrons intersecting it at 45 degrees with a relativistic velocity v b and a later time at 235 degrees. All the velocities and rest masses are in the earth's reference plane.
Analysis: Then each mass as seen by the slow moving electrons is Where m o is the rest mass and K the Doppler shift factor. From section 1.0, . Where θ is either the 45 degrees or the 235 degrees. The momentum after impact should verify the relations of m/m 0 given above. In particular the large variation with θ.  and ω′ is the magnitude of ω as detected by a stationary observer). This will avoid any errors due to the difficulty in measuring light emanating from objects traveling at significant portions of light's velocity. Another difficulty in the measurement of K t is that for most angles, the axial Doppler shifts are much larger that the transverse Doppler shifts. [7] shows the most commonly written combination of axial and transverse shifts as simply the product of the two. K a represents the magnitude of the axial shift and a t K K K = represents the magnitude of the total shift. This paper also indicates that a non-linear combination will result if one avoids assumptions in the Lorenz transformation. This paper also notes that any significant result of body forces acting on photons should be in any analysis.

The Effect of the Axial Shift on Scalar Quantities with a Doppler Shift
Time, mass, and many other scalar quantities that have a Doppler shift have an axial part of the shift that varies with the observation angle. Therefore, they vary with the positon and the velocity of the observer relative to the source in Journal of High Energy Physics, Gravitation and Cosmology

An Example of Axial Shift's Impact on Differential Laws with Scalar Variables
One impact on Faraday's law, is that time (t), now has different values in different directions. This implies that for any vector quantity G, 3 1 unit vector in the I direction) must replace ∂G/∂T at high (v/c) in differential equations. It is a time grad G. Let (G) be 3 1 and let trad (G) be the same. One is easy to type and the other is easy to write. The velocity now becomes 3 1 . This is one of Maxwell's equations, which is the only one that has ∂/∂t. The other three remain unchanged.
The wave equation form is ( ) The observer sees it as ( ) To obtain the maximum effect of K, one must solve along the axis of maximum K. Since  . If the Doppler for ω is K, then that of t is 1/K. Likewise, that of k is 1/K and that of s is 1/K. Therefore, ( ) ( ) is the same in all of the reference planes. Therefore, traveling wave solutions have the same form in all of the reference planes. But F i itself has a Doppler shift between the reference planes.

How Axial Blue Shift Supplies Candidates for Bohm's
Missing Dimensions

A Law of Time (for Use on the Blue Shift)
Exact observations of the future are impossible because of unknown noise or multiple futures. This is because, in a universe with only one future, any group with a future observing device would try to negate undesirable and avoidable events. But in the macroscopic world with only one future, an event and its negation cannot exist at the same time. So that group could not obtain an exact observation of an avoidable and undesirable event until at the very least the event was no longer avoidable. Therefore, there exists some undocumented noise or multiple futures in the nature of time.

Problems with Information in Blue Shifted Carrier Waves Reflected from a Repeater
If a modulated beam of duration G is reflected by a moving repeater (a mirror or