Space-time curvature
• The notion of “local” time evoked remains (at least) to be specified.
However, one must insist on the fact that it seems to be obtained by
this argument a “time” passing rather fastly (?) in the zones of space
(?) where there are more interactions, and therefore particularly in
the vicinity of a large mass, what is the direction contrary to
experimental observations (conformably predicted by general relativity
[1]).
This means perhaps simply that the “proto-definition” of “local” time
is badly posed, but that imposes a seach for clarifications.
• One may propound that only the relative time scale is perceptible ;
when crossing the neighbourhood of a zone where many interactions
happen, a system would see the
proportion of its own interactions relatively less important,
what effectively corresponds to a “fastless” apparent time flow.
One may thus examine the problem of interactions in the vininity of a
“black hole” whithin its “horizon” (if that exists).
• Coming back to special relativity, one is led to consider the motion
: if a point which is moving is such that as the time increases, its
interactions proceed principally with different neighbourhoods in space
(?), then how to interpret that the time of a moving point seems to
pass slowly ?
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References :
1. see as example :
“Théorie du champ”, L. Landau and E. Lifchitz, ed.
Mir ;
“Gravitation and cosmology”, S. Weinberg, ed. Wiley, 1972.
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