We use the method of field decomposition, a widely used technique in relativistic magnetohydrodynamics, to study small velocity approximation (SVA) Lorentz transformation Maxwell equations for slowly moving media. The “deformed” derived using SVA lab frame can be put into conventional form medium’s co-moving frame. Our results show that up O(v/c) (v is speed medium and c light vacuum) essential...

A careful study is made of the operational meaning of the time symbols appearing in the space-time Lorentz transformation. Four distinct symbols, with different physical meanings, are needed to describe reciprocal measurements involving stationary and uniformly-moving clocks. Physical predictions concern only the observed rate of a clock as a function of its relative speed, not its setting. How...

Low energy weak interactions calculations with fermions frequently involve a superposition of quartic products of Dirac spinors, in which the order of the spinors is not the same in all the contributing terms. A common trick that is used to bring them to a uniform ordering is the Fierz transformation. We show that the standard Fierz rearrangement formula quoted in textbooks is one element of a ...

Variation of the von Neumann entropy by the Lorentz transformation is discussed. Taking the spin-singlet state in the center of mass frame, the von Neumann entropy in the laboratory frame is calculated from the reduced density matrix obtained by taking the trace over 4-momentum after the Lorentz transformation. As the model to discuss the EPR spin correlation, it is supposed that one parent par...

It is noted that the Jones-matrix formalism for polarization optics is a sixparameter two-by-two representation of the Lorentz group. It is shown that the four independent Stokes parameters form a Minkowskian four-vector, just like the energy-momentum four-vector in special relativity. The optical filters are represented by four-by-four Lorentz-transformation matrices. This fourby-four formalis...

It is noted that the Jones-matrix formalism for polarization optics is a sixparameter two-by-two representation of the Lorentz group. It is shown that the four independent Stokes parameters form a Minkowskian four-vector, just like the energy-momentum four-vector in special relativity. The optical filters are represented by four-by-four Lorentz-transformation matrices. This fourby-four formalis...

A common error, originally due to Ehrenfest, is corrected. Typeset using REVTEX 1 A recent book [1] with the same title as above contains 17 articles by various authors, following the English translation of a brief note by Paul Ehrenfest [2] who applied a Lorentz contraction to the rim of a rotating disk, whose radius was not contracted. This is plainly wrong: Lorentz contractions occur when we...

The present Note calls attention to an aspect of the special theory of relativity (SR) that has heretofore been ignored. An example of two observers approaching one another at uniform velocity is considered. It is shown that opposite predictions are obtained when different methods of applying the theory are used. It is pointed out that this contradiction necessarily invalidates the Lorentz tran...

Assuming the spin-independence for confining force, we give a covariant quark representation of general composite meson systems with definite Lorentz transformation properties. For benefit of this representation we are able to deduce automatically the transformation rules of composite mesons for general symmetry operations from those of constituent (exciton) quarks. Applying this we investigate...

Assuming the spin-independence for confining force, we give a covariant quark representation of general composite meson systems with definite Lorentz transformation properties. For benefit of this representation we are able to deduce automatically the transformation rules of composite mesons for general symmetry operations from those of constituent (exciton) quarks. Applying this we investigate...