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SUMMARY:Application of  conventionality in distant simultaneity to integra
 l covariant formulation of conservation laws
DTSTART;VALUE=DATE-TIME:20161011T141500Z
DTEND;VALUE=DATE-TIME:20161011T143000Z
DTSTAMP;VALUE=DATE-TIME:20260722T172834Z
UID:indico-contribution-716@cern.ch
DESCRIPTION:Speakers: Valery Stepanov (Russian Federation)\nIn 1930\, Reic
 henbach established the possibility of generalization of Einstein's defini
 tion of synchronizing spatially separated a couple of hours\, introducing 
 Reichenbach parameter that varies from zero to one\, which defines one-way
  speed of light. A fundamental constant is the average speed of light back
  and forth. The independence of this observed value of the choice of inert
 ial reference systems supported by the Michelson-Morley experiment.Then Jo
 hn A Winnie in 1970\, formulated a generalization of the special theory of
  relativity to the case of generalized synchronization Reichenbach. Curren
 tly\, there is discussion about the consistency with the physical experime
 nts of Reichenbach's thesis of the conventionality of simultaneity spatial
 ly separated clocks.\n\nWithout entering into this discussion about the ph
 ysical reality according to Reichenbach's thesis in this paper\, we propos
 e the possibility of using non-standard synchronization in the relativisti
 c -invariant integral formulation of the laws of conservation of charge\, 
 the energy - momentum\, and other conserved quantities.\n\nFor two inertia
 l reference systems\, the relativity of simultaneity phonological paradigm
 atic events.Richard Feynman in his Nobel lecture gave an example of the de
 parture of electron-positron pair from the two ends of the rod of finite l
 ength. On the basis of the fact of the relativity of simultaneity of these
  two events\, he concluded that the local law of conservation of electric 
 charge for non-point objects.\n\nAt first\, for example\, in a textbook of
  Theoretical Physics Landau-Lifshitz theory of special relativity is formu
 lated in four-dimensional space-time of Minkowski. The equations of the dy
 namics of the material point is a relativistic generalization of Newton's 
 laws contain as a time parameter interval proportional to the proper time 
 of the moving material point\, which does not depend on clock synchronizat
 ion. By synchronizing the clocks do not depend on the energy\, momentum\, 
 and other conserved quantities.\n\nConsider the insular system of mutually
  motionless particles. The law of conservation of charge for this system i
 n differential form is expressed as the vanishing of the divergence of a f
 our-vector volumetric current density. To calculate the integral formulati
 on of the integral over the four-volume tube world lines of particles insu
 lar system\, forming a four-cylinder. This cylinder ends of two perpendicu
 lar to the world lines of the surfaces of simultaneous events belonging to
  the two points in time of the observer in his own frame of reference insu
 lar system. The lateral surface of the cylinder tends to spatial infinity\
 , where the charges are zero. In the four-dimensional Gauss theorem the vo
 lume integral is converted to the integral over a closed surface\, decayin
 g on the lateral surface and two bases. The result is an equality of two i
 ntegrals over the three-dimensional hypersurfaces for different points in 
 time. This means consistency\, i.e the conservation of the total charge in
 sular system. All the above corresponds to the integrated treatment of con
 servation laws in the course of Landau-Lifshitz. \n\nIf we move to the lab
 oratory reference system relative to which the insular system is moving in
 ertially\, then the hypersurface of simultaneity used in the insular syste
 m\, cease to be orthogonal to the temporal axis of the laboratory system. 
 \nBecause of the relativity of simultaneity there is an unequal one second
  parameter Reichenbach\, the speed of light is a fundamental constant is o
 nly an average. \nThe hypersurfaces of simultaneity in the four-dimensiona
 l Minkowski space are invariant geometric objects. In the area of the rela
 tivity of simultaneity\, you can choose any hypersurface\, while the numer
 ical values of the integrals of the remaining quantities do not depend on 
 the choice of hypersurfaces of simultaneity. Thus\, if you declare a custo
 m setting for the Reichenbach physically invalid\, it returns solemnly to 
 ensure the covariant integral formulation of the conservation laws of phys
 ical quantities.\n\nhttps://indico.particle.mephi.ru/event/4/contributions
 /716/
LOCATION:Milan Hotel Rossini
URL:https://indico.particle.mephi.ru/event/4/contributions/716/
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