Indications That Black Hole Tidal Forces Generate Mass/Energy
- From: OsherD <mdoctorow@xxxxxxxxx>
- Date: Wed, 25 Mar 2009 23:01:16 -0700 (PDT)
From Osher Doctorow
In Probable Influence/Causation (PI), Force is generally regarded as
more important than Energy because the former resembles Causation more
at least in Mechanics. This goes against much of the GR tradition and
even the QM tradition, though not the Elementary Particle Physics
(Physics of Elementary Particles) tradition at least in part.
If we keep an open mind about the possibility of either Force
generating Energy or Energy generating Force (even the idea seems
strange to mention, but from a Causal viewpoint it really does become
relevant), then from the viewpoint of observation or theory the only
relevant decisive factor that I can think of is the fact that:
1) Central Galactic black holes have immense tidal forces and are
associated with young star-producing regions of Galaxies.
Could those tidal forces actually create something like "friction in
spacetime itself"? And is that what mass is - the result of
"friction in spacetime" by tidal forces or equivalently strong forces?
While I can only point to the above as an "indication" that force
creates energy/mass, I can show that Probable Causation/Influence (PI)
suggests that either of the two (force creates energy/mass or energy/
mass creates force) is possible, with a few simple assumptions.
Lets go back to:
2) F = Gm1m2/r^2 (Newton's Law of Universal Gravitation)
As usual, we might ultimately decompose this by subtraction, which in
PI usually replaces division. However, let's look at the
dimensionality of G, [G], now:
3) [G] = L^3 T^(-2) M^(-1)
I have pointed out previously that this immediately suggests a
velocity squared L^2 / T^2 dimensionally, or L^2 T^(-2), so let's
assume that the Universal Gravitational Constant or Newton's
Gravitational Constant G really involves a velocity variable or
constant u, squared. So we write:
4) G = u^2 v where v has the dimensions LM^(-1).
But LM^(-1) is the dimension of 1/mass per line segment or curve
segment = 1/linear mass density. We write rho_L for that. Then (4)
becomes:
5) G = u^2 / rho_L
Then (2) becomes:
6) F = Gm1m2/r^2 = (u^2/rho_L)m1m2/r^2
But rho_L, being mass m per length L, where L now is used as an
unknown variable rather than a dimension for simplicity, when
substituted for rho_L in (6), yields:
7) F = (u^2 / r^2) (m1m2/m) L
This suggestions, since m seems to "come from nowhere", that we
actually have:
8) m = (definition) sqrt(m1m2)
In that case, (7) becomes:
9) F = (u^2 / r^2) sqrt(m1m2) L
Again, since L seems to "come from nowhere", let's identify it with r:
10) L = (definition as a variable in (7)) r
and substituting for L into (9) yields:
11) F = (u^2 / r) sqrt(m1m2)
Multiplying both sides of (11) by r yields:
12) Fr = u^2 sqrt(m1m2)
Now square both sides of (12):
13) F^2 r^2 = u^4 m1m2
Now substracting u^4m1m2 from both sides of (13) and adding 1 to both
sides yields:
14) 1 + F^2 r^2 - u^4 m1m2 = 1
which has the form:
15) P ' (u^4 m1m2 --> F^2 r^2) = 1
But u^4 = u^2 times u^2, suggesting:
16) E1 = (definition) m1u^2, E2 = (definition) m2u^2 (kinetic
energies up to constants)
and substituting into (15) yields:
17) P ' (E1E2 --> F^2 r^2) = 1
which says that Kinetic Energy (or its product ) Causes Force with
probability 1 (maximum probability). However, if we had subtracted
F^2 r^2 from both sides in (13), then we would have gotten:
18) P ' (F^2 r^2 --> E1E2) = 1
so in Theory, both possibilities are "equally" plausible.
We could hypothetically identify u as the velocity of Chaplygin Gas,
which might be a "Universal Velocity", but it might also be a
"Universal intrinsic relative velocity" that we assign to the square
root of the product of any masses m1m2.
Osher Doctorow
.
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