Some properties of the Aether are postulated from which the equation of the electric field of a charge moving through the Aether is developed. The Lorentz Transform equations are derived from this equation. The Lorentz effects are applied to the atom which shows that the Transform equations equally apply to bulk matter.
Postulate 1 determines a physical reference frame for the Universe.
Postulate 2 determines that the Aether reference frame is non-Euclidean.
The Aether 'pressure' is the electric potential and the propagation velocity of the Aether (called the speed of light) is the gravitational potential.
Postulate 3 determines how a body propagates its elevated potentials, electric and gravitational, outward to infinity such that the potential difference relative to infinity diminishes with inverse distance from the body. This effect arises from the increasing area of Aether shells with increasing distance from the source.(see my book Aether Theory. The pdf can be found on the website Aether theory.)It is postulated by analogy with matter that the local propagation velocity is determined by the equation c2 = C/ρ where C is the local internal 'pressure' within the Aether and ρ is the local aethon density.
Each point of the field P is established after a time delay of r/c from the original time and position of the source.
Thus a charge moving through the Aether moves through its own field.
In the diagram Q is the orignal position of the charge which, after a delay of ro/c, produces the potential at point P. At which time the charge has moved on to point O (the origin of the co-ordinates).
By Pythagoras we have:-
It should be realised that a charge cannot directly sense, and is unaffected by, its own field.
But the field eventually acts upon a second charge. The second charge B transmits its reaction to the field of A back to charge A via its own field. Thus the electric field of a charge is 'observed' through a two way, out and return, process operating at the speed of light. All meaningful communications in physics are two way.
This two-way process eliminates the factor Gxv/c to give:-
Thus the 'observed' electric field--the one we are interested in--is given by:-
The Aether equation for the electric field is different to the Modern Physics equation.
This is because in Aether physics magnetism is a derivative effect of the electric field rather than a property of the Aether. (see the paper Magnetism in Aether Physics)
It is first important to understand the nature of time in the context of the Aether. See the paper Matter in Aether Physics.
Time is not a dimension, although for human convenience we may consider it to be so. Time is just distance travelled through the Aether at the local speed of light. Thus Aether time is also local and is given by d/c.
Time (for a matter system or potential field) is different to Aether time in that it relates to an out and return distance through the IRF of the matter system in question.
The only distance available to us at this point in the paper is the electric field distance d, (d = r/G) in the IRF of the charge.
The co-ordinates of the Aether frame are given as x, y, z and t.
The co-ordinates of an inertial reference frame (IRF) in which the charge (moving through the Aether) is stationary are given as x', y', z' and t'. x and x' are in line.
Thus from the equation for r above the matter time unit T equals:-
Now considering just the sqrt bracket of the eqn. for r0 we obtain the Lorentz Transform equations:-
Atoms are constructed of a small, heavy and positively charged nucleus orbited at different levels by a variable number of electrons attracted by the positive field of the nucleus. The size of an atom is effectively determined by the diameter of the outermost electron orbit. When an atom moves through the Aether the electric field of the nucleus is modified by its velocity according to the Lorentz Transform equations. It follows that the electron orbits, and hence the effective size of the atom, are modified as a consequence.
J. S. Bell, of quantum mechanics fame, calculated the effect upon a hydrogen atom moving relative to the observer's frame. This frame may be the Aether and so Bell's calculations equally apply to atoms moving through the Aether. Bell calculated the effects of the electric and the magnetic forces separately, but as the total force must be independent of theories of the origins of the force his results are equally applicable to Aether physics in which
magnetism is not considered fundamental.
Thus Bell's conclusions are equally true for the Aether scenario.
Bell found that the electron orbit was contracted in the direction of movement to exactly the same extent as the contraction of the electric field.
Therefore, as all matter is constructed of atoms it follows that the dimension of all matter contracts in the direction of Aether movement according to the Lorentz function. This contraction effect is called the Fitzgerald-Lorenz Contraction Effect (FLCE) after its initial proposers. At the time it was an ad-hoc proposal but it can now be seen to be scientifically founded upon the properties of the Aether.
Bell also found that the electron orbital period dilated in exact accordance with the time dilation effect occuring in a moving electric field. As the orbital period of an electron cannot be a unique example of time operating within matter it follows that time for matter in general is dilated.
The increase in mass with velocity can be readily derived from length contraction and time dilation by a standard consideration of the conservation of momentum.The relation E = mc2 is also a standard derivation,