arXiv subjects
Publications and source records attributed to Jian-Miin Liu.
The correction to Maxwell-Boltzmann's velocity distribution law is obtained in the framework of the modified special relativity theory. The detection of velocity and velocity rate distributions for thermal molecules or atoms or other particles can serve as a test of the modified special relativity theory.
Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the speed of light in all inertial frames of reference, special relativity uses the assumption about the Euclidean structures of gravity-free space and time in the usual inertial coordinate system. Introducing the so-called primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, we assume the Euclidean structures of gravity-free space and time in the primed inertial coordinate system and their generalized Finslerian structures in the usual inertial coordinate system. We combine this assumption with the two postulates (i) and (ii) to modify special relativity.
High energy infers high velocity and high velocity is a concept of special relativity. The Maxwellian velocity distribution is corrected to be consistent with special relativity. The corrected distribution reduces to the Maxwellian distribution for small velocities, contains a relatively depleted high-energy tail and vanishes at the velocity of light. This corrected distribution will lower solar neutrino fluxes and change solar neutrino energy spectra but keep solar sound speeds.
The root of the divergence problem in the current quantum field theory seems to be in the special theory of relativity. Here we propose a modified special relativity theory by introducing the primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, assuming the flat structures of gravity-free space and time in the primed inertial coordinate system and their generalized Finslerian structures in the usual inertial coordinate system, and combining this assumption with the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way speed of light in all inertial frames of reference. The modified special relativity theory involves two versions of the light speed, infinite speed c-prime in the primed inertial coordinate system and finite speed c in the usual inertial coordinate system. The physical principle is: the c-prime-type Galilean invariance in the primed inertial coordinate system plus the transformation from the primed to the usual inertial coordinate systems. The modified special relativity theory and the quantum mechanics theory together found a convergent and invariant quantum field theory.
Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way speed of light in all inertial frames of reference, the special theory of relativity uses the assumption about the Euclidean structure of gravity-free space and the homogeneity of gravity-free time in the usual inertial coordinate system. Introducing the so-called primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, we assume the flat structures of gravity-free space and time in the primed inertial coordinate system and, hence, their generalized Finslerian structures in the usual inertial coordinate system. We further modify the special theory of relativity by combining the alternative assumption with the two postulates (i) and (ii). The modified special relativity theory involves two versions of the light speed, infinite speed c-prime in the primed inertial coordinate system and finite speed c in the usual inertial coordinate system. It involves the c-prime-type Galilean transformation between any two primed inertial coordinate systems and the localized Lorentz transformation between any two usual inertial coordinate systems. The physical principle in the modified special relativity theory is: the c-prime-type Galilean invariance in the primed inertial coordinate system plus the transformation from the primed to the usual inertial coordinate systems. It combines with the quantum mechanics theory to found a convergent and invariant quantum field theory. We produce corrections to the Maxwellian velocity and velocity rate distributions for free particles. The detection of velocity and velocity rate distributions for free particles can serve as the tests to investigate the local structures of gravity-free space and time.
Keeping the two fundamental postulates of the special theory of relativity, the principle of relativity and the constancy of the one-way velocity of light in all inertial frames of reference, and assuming two generalized Finslerian structures of gravity-free space and time in the usual inertial coordinate system, we can modify the special theory of relativity. The modified theory is still characterized by the localized Lorentz transformation between any two usual inertial coordinate systems. It together with the quantum mechanics theory features a convergent and invariant quantum field theory. The modified theory also involves a new velocity distribution for free particles that is different from the Maxwell distribution. It is claimed that the deviation of the new distribution from its previous formula will provide experimental means of judging the modified special relativity theory.
Besides the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way velocity of light in all inertial frames of reference, the special theory of relativity employs another assumption. This assumption concerns the flat structures of gravity-free space and time in the usual inertial coordinate system. We introduce the primed inertial coordinate system, in addition to the usual inertial coordinate system, for each inertial frame of reference, and assume the flat structures of gravity-free space and time in the primed inertial coordinate system and their generalized Finslerian structures in the usual inertial coordinate system. Combining this alternative assumption with (i) and (ii), we modify the special theory of relativity. The modified theory involves two versions of the light speed, infinite speed c' in the primed inertial coordinate system and finite speed c in the usual inertial coordinate system. It involves the c'-type Galilean transformation between two primed inertial coordinate systems and the localized Lorentz transformation between two corresponding usual inertial coordinate systems. It also involves a new physical principle. This principle is applied to reform of mechanics, field theory and quantum field theory. The validity of relativistic mechanics in the usual inertial coordinate system remains, while field theory is freshened. Based on the establishment of a transformation law for the quantized field systems, we construct a convergent and invariant quantum field theory, in full agreement with experimental facts, founded on the modified special relativity theory and the quantum mechanics theory.