Quantum Gravity Via Expansion-Contraction 77.5: Adding Stochastic Terms to Einstein's Equation For Fundamental Equations of Quantum Gravity

**OsherD** · #1 January 21st 07 posted to sci.physics

From Osher Doctorow

Adding Dt(u) terms to the Einstein GR picture to relate it to Quantum
equations is also feasible by adding stochastic Dt(u) type terms, which
in turn opens an area of research in arXiv that can be accessed under
keywords "stochastic gravity" (24 papers 1991 thru 2006), "Probability
Einstein" (7 papers), or "probability gravity" (7 other papers), etc.

This in turn not only relates Quantum Theory and GR via time
derivatives but via probability, once again in line with my earlier (in
this thread) scenario with -- only here indicating "is more
fundamental than":

1) probability -- time -- space -- matter, energy

Top theorists in the scenario of the first paragraph are E. Verdaguer
of U. de Barcelona Spain, B. L. Hu of U. Maryland USA, Albert Roura of
U. Maryland and Los Alamos National Laboratory USA, J. Ambjorn of
Copenhagen U. Denmark, C. V. Johnson of USC USA, T. R. Morris of U.
Southampton U.K., Lucien Hardy of Perimeter Institute Canada (Hardy
coauthored 3 papers with Adrian Kent of U. Cambridge U.K.), etc.

Ambjorn has 116 papers in arXiv, Morris has 52, Hu has 78, Verdaguer
has 29, Hardy has 25, Johnson has 68.

Osher Doctorow

**OsherD** · #2 January 21st 07 posted to sci.physics

From Osher Doctorow

We can even add PI to the modified Einstein GR scenario directly as
follows.

As it stands, GR claims that matter bends space and space bends matter,
which in PI language means that GR alleges a Probable Correlation
(two-way Probable Causation/Influence) between matter and space. While
it is theoretically possible that there is no real-valued measure of
space or matter that says the same thing, it is plausible that there
is. Let M, S be the respective real-valued measures (S including
curvature), so more or less the real-valued picture of GR says:

1) M = S

Since 2-way Causation is a special case of 1-way Causation (in fact,
1-way in both "directions", from Cause to Effect and vice versa), let's
choose S as Probable Cause and M as Probable Effect, yielding:

2) M - S = 0

and hence (normalizing):

3) 1 + M - S = 1 = P(A -- B) (or "P(S--M)" for short)

Since we don't expect P(A--B) or P(S--M) to be 1 always, the general
equation should read:

4) P(A--B) = 1 + M - S

So equation (1), M = S, gets replaced from (4) by the model equation:

5) M = S + P(A--B) - 1

Notice, by the way, that solving for S yields:

6) S = M + 1 - P(A--B)

and since all probabilities are = 1, S regarded as curvature exceeds
M instead of equaling it as in (1) provided that they are unequal.

So for example the curvature of space or spacetime near the Big Bang
exceeded the present curvature. We seem to have many indications of
this already in cosmology, but it raises the possibility in this
context that what has held up Quantum Gravity until now has been the
assumption that the correlated picture of matter and space or matter
and curvature is more fundamental than the one-way influence of space
or curvature on matter. Even if they are correlated, they might not
always have been correlated, but S arguably has always influenced M!

Osher Doctorow

**OsherD** · #3 January 21st 07 posted to sci.physics

From Osher Doctorow

In slightly different but simpler language, the Einstein Field
Equation(s) say that matter bends space and space bends matter, which
looks like a correlation but arguably was not a correlation early in
the Universe since:

1) matter was arguably produced after space or spacetime
2) nucleosynthesis and similar processes arguably came after space or
spacetime
3) The radiation-dominated era preceded the matter-dominated era

Except in a correlation, as readers should know if they don't already,
Causes precede Effects in time.

Osher Doctorow

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