On Jun 19, 9:39*pm, Symmetry Observer
wrote:
Minkowski's reformulation of Special Relativity is characterized

by elegance and symmetry. Can it be generalized?

* * *Many theorists are guided by the belief that the most

general transformations applicable to the laws that govern a

given physical system or interaction, especially those that are

endowed with invariance properties, will have the greatest

probability for focusing light upon more general principles.

* * * With that thought in mind, the author sought a

generalization of the Lorentz Transformations by way of a

straight forward generalization of the ring of complex numbers.

The reader will recall that all fields (including the complex

numbers) are rings. The converse, however, is not necessarily

true. But what is true is the historical fact that Minkowski

was able to reformulate Special Relativity, within the frame-

work of Minkowski Space-Time, by utilizing the properties of

complex numbers. He was thus able to unify space and time in

a most elegant mathematical fashion.

* * * The author has humbly tried to follow the lead of

Minkowski’s treatment of SR (which involves particles

moving with relative constant velocities) in the search

of a set of straight forward invariant transformations for

particles (or frames of reference) that have a constant

relative acceleration with respect to each other. An intro-

duction to these concepts may be found at

http://www.intelrap.com/lt1.html

xxein: Are you pretending to do physics or just math tricks?