Time/ Space: from Hawking back to Einstein / Minkowski.
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a)Stephen Hawking, book: "The theory of everything. Fifthlecture."
" . . . . the universe must have a beginning, and that this beginning
must be described in terms of quantum theory."
"When one goes back to the real time in which we live, however,
there will still appear to be singularities. The poor astronaut who falls
into a black hole . . . . could live in imaginary time, that he would
encounter no singularities."
"This might suggest that the so-called imaginary time is really the
fundamental time, and that we call real time is something we create
just in our minds. In real time, the universe has a beginning and
an end at singularities that form a boundary to space-time and at which
the laws of science break down. But in imaginary time, there are
no singularities or boundaries. So maybe what we call imaginary time
is really more basic, and what we call real time is justan idea that we
invent to help us describe what we think the universe is like."
/ page 91/
So.
The real time in which we live has singularities.
But imaginary time without singularities or boundaries " is really the
fundamental time", " is really more basic. "
b)Einstein /Minkowski.
It was Einstein who first in 1905 introduced imaginary time in SRT.
In 1908 Minkowski changed imaginary time into 4D and said:
“ Henceforth, space by itself, and time by itself,
are doomed to fade away into mere shadows,
and only a kind of union of the two will
preserve an independent reality.”
So.
" space by itself, and time by itself"the real space andtime in which
we liveare "shadows" . . . ." and only a kind of union of the two
( on the basis ofimaginary time)will preserve an independent reality.”
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My solution.
An imaginary time means Eternal Time.
The black hole is eternal zero vacuum (T=0K) continuum.
The 4D is eternal zero vacuum (T=0K) continuum.
Space by itself (gravity-space)and Time (gravity-time) by itself
are secondary: made out from the eternal zero vacuum (T=0K)
through singularity / vacuum fluctuation-transformation.
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Best wishes.
Israel Sadovnik Socratus
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