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A Universal Regulator?

✍ Scribed by Dr. Trân Hũu Phát


Publisher
John Wiley and Sons
Year
1972
Tongue
English
Weight
741 KB
Volume
482
Category
Article
ISSN
0003-3804

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✦ Synopsis


By using the principle of metrical invariance which requires that all physical laws are independent of the choice of units (alternatively, all physical l a u s are invariant with respect to scale transformations of space-time coordinates) and GOLDSTONE'S theorem, n universal regulator is discovered.

The cosmic field is thcYAKG-~1ILIsfield of thelocal scale transformations. I t s 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 takcn into account, then the quantum field theory is free from all ultraviolet infinities. Prom the point of view of YANG-)IIILI,S field theory, it is proved that the socalled gravitational masses are identical with inertial masses and the gravitational field is created by inertial masses moving non-inertially. This fact, permits t o solve satisfactorily the problcm of energy-momentum complex of the gravitational field. The system of aquations which defines simultaneously the cosmic and gravitational fields is established. A non-EINSTEIS cosmology is outlined.

At present time, the question whether a Cniversal Regulator actually exists constitutes a problem of principle value for t,hc development of particlc physics.

Recently, by a paper of DE WITTE [l] the following problem is raised: Is gravity a universal regulator ? The answer based on an approximate calculus is unlikely. Sext, by SALAM and STRATHDEE [2] this problem is once again raised and their results shows that gravity, in the simplest case of scalar graviton, is a regulator if non-perturbation is used.

Following MAHKOV 131, it is possible that the so-calledfrieclmon is a regulator. From our point of view this idea is very interesting. However, it is necessary to clear up the role of friedmon in the quantum theory of elementary particles.

As a regulator, the non-local theory of fields, which if free from the ultraviolet infinities without any regularization, has been built up [4-.-11]. This theory is based on EFIMOV'S macrocausality principle [I-L]. However such a theory is actually not satisfactory.

The purpose of this paper is to prove that a microcausal univerml regulator may exist.


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