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 (for
a nonelementary system, the elapsed duration would correspond to the
sum of the time transferred by interactions with the environment and
of the time created by the internal interactions).
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 ?
__________________
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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