This will demonstrate how relativistic transformations can be made isoptropic.

According to the theory of special relativity, the transformation for length and time coordinates and mass and energy between two inertial systems A and B, representing length and time coordinates and mass and energy as A when those are at

rest with system A is

(A/B)^2 = 1 – (v/c)^2.

The square of A devided by the square of B equals one, though minus the square of the velocity v devided by the square of the speed of light c.

According to the same theory redshift, which can be interpreted as a change in length and time coordinates and mass and energy, has the value, representing length and time coordinates and mass and energy as A when those are at rest with system

A, of

(A/B)^2 = (v – c)/(c + v)

The square of A devided by the square of B equals c minus v, though devided by the addition of c and v.

However, with both transformations seen as a result of relativity, they can be taken as one

A/B = 1 – v/c

A devided by B equals one, though minus v devided by c.

The applications of this transformation to mass compared to the law of conservation of energy expressed in the theory of special relativity will show as a result that impulse and kinetic energy are equivalent because of

KE = pc

The kinetic energy equals the impulse times the speed of light.

Finally, in the last equation A or B may represent the length and time coordinates and mass and energy and temparature and electric charge and color of a particle at rest with system A. Therefore, it applies to all forces of nature. Moreover, at the least for length and time this transformation is to be applied in three dimensions isotropically.

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Pieter Brouwer has written 10 post in this blog.