Re: Quantum Phase Compactification via Spacetime Expansion

From: Russell E. Rierson (analog57_at_yahoo.com)
Date: 07/23/04 

Date: 23 Jul 2004 11:51:55 -0700

Uncle Al <UncleAl0@hate.spam.net> wrote in message news:<41011412.5974E45@hate.spam.net>...
>
> > The organic analogues of quantum attractors are translated via
> > quantized fractal modes onto the classical domain via
> > compactification,
>
> Buncha crap.
> [snip]
>
> > Resonating standing waves/waveforms. The past collapses/condenses/
> > compactifies in 6 dimensions to the present moment, while the future
> > is an expanding uncertainty, in four space-time dimensions.
>
> Bull***. Not even facile bull***, just common everyday ***
> vs. Shinola bull***.

Does a nonlinear universe, give the "strange loop" of Goedelian
self-reference? The sharp distinction between an active transformer
and the passively transformed is no more? The state vector is no
longer the passive victim. It "fights back". The fusing of the
operator and the state vector is what completes the self-referential
feedback control circuit, which becomes the mechanism of free will
...?

An isometry on spacetime is a diffeomorphism which leaves the metric
g_ab invariant. The action on a connected spacetime is determined by
its action on a single point, along with the induced action on the
tangent space at the point, since isometries map geodesics onto
geodesics.

For a two dimensional manifold, the antisymmetric tensor determines
the value of the field at the point of two intersecting null planes.
If the metric has a Riemannian signature, the equations of action are
equal to the action of an infinitesimal rotation in flat Euclidean
space. It follows that the map is simply an ordinary rotation on a
tangent space.

In a Schwarzchild spacetime via an analogue of the Schwarzchild
spacetime of the Rindler vacuum state, for which static observers
detect no particles, the expected stress-energy tensor becomes
singular on two distinct portions of the intersecting null planes.
This is known as the Hartle-Hawking vacuum, and the vacuum state will
become a thermal state with respect to the notion of time translations
with temperature T = hbar*c^3 / 8pi*k*G*M .

The vacuum state gives rise to a generalized entropy law, where the
entropy S' never decreases:

S' = S_m + A/4

The area of a spacetime surface and the maximum amount of information
contained in a finite region of space, cannot be greater than one
quarter of the area in Planck units. Spin networks can describe the
quantum geometry of space at the intersection of horizon boundaries,
where the spin networks intersect with the boundary at a finite number
of points.

There is a finite amount of energy contained by a given region of
spacetime. A finite amount of information. A finite number of quantum
phase entanglements and random fluctuations.

A phenomenon is random if individual outcomes are uncertain but there
is a regular distribution of outcomes in a large number of
repetitions.

 
Is it possible to derive Einstein's field equation strictly in terms
of quantum mechanical operators? using n-dimensional cross sections of
cotangent vector spaces? Near a massive object M, the *isobar* cross
sections increase in density, as wave density gradients.

Compression waves become a self embedding of surface integrals? This
gives continuously increasing density gradients, as matter-energy is
sequentially re-embedded from previous computations/iterations.

If the universe is closed, the "information" or entangled quantum
states cannot leak out of the closed system. So the density of
entangled quantum states, continually increases, as the entropy must
always increase. While to us, it is interpreted as entropy or lost
information, it is actually recombined information, to the universe.
Shannon entropy.

Spacetime Memory == Covariant Compression Waves == Interpretation of
Increased Entropy?

Quantcast