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A Universal Regulator?
Author(s) -
Phát Trân Hũu
Publication year - 1972
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19724820402
Subject(s) - physics , gravitational field , classical mechanics , gravitation , inertial frame of reference , massless particle , quantum field theory , einstein , scale invariance , field (mathematics) , quantum , theoretical physics , mathematical physics , quantum mechanics , mathematics , pure mathematics
By using the principle of metrical invariance which requires that all physical laws are independent of the choice of units (alternatively, all physical laws are invariant with respect to scale transformations of space‐time coordinates) and Goldstone's theorem, a universal regulator is discovered. The cosmic field is the Yang‐Mills field of the local scale transformations. Its physical role is as follows. Cosmon, its quantum, is a massless, spinless, and neutral particle. The cosmic field is created by inertial masses. Therefore it participates in all physical processes and if its presence is taken into account, then the quantum field theory is free from all ultraviolet infinities. From the point of view of Yang‐Mills field theory, it is proved that the so‐called gravitational masses are identical with inertial masses and the gravitational field is created by inertial masses moving non‐inertially. This fact permits to solve satisfactorily the problem of energy‐momentum complex of the gravitational field. The system of equations which defines simultaneously the cosmic and gravitational fields is established. A non‐Einstein cosmology is outlined.