Re: Quantum Phase Compactification via Spacetime Expansion
From: |-|erc (gotch_at_beauty.com)
Date: 07/23/04
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Date: Fri, 23 Jul 2004 11:09:57 GMT
"Russell E. Rierson" <analog57@yahoo.com> wrote
> Non-relativistic string theory was introuced by d'Alembert, in 1747,
> with the first appearance of the wave equation and the d'Alembertian
> operator, which eventually became the foundations of "relativistic"
> field theories; for example, the theories of electromagnetism, special
> relativity, and quantum mechanics.
>
> The description of any entity inside the real universe can only be
> with reference to other things in the universe. Space is then
> relational, and the universe, self referential. For example, if an
> object/event has a momentum, that momentum can only be explained with
> respect to another object/event within the universe. Space then
> becomes an aspect of the relationships between things in reality.
>
> If the universe is a causally closed system, the "information" or
> entangled quantum states cannot leak out of the closed system. So the
> "event" 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.
>
>
> The present moment is created and recreated constantly - analogous to
> continually opposing/juxtaposing reflective mirror images. originating
> deep in quantum phase space. The Heisenberg uncertainty relation
> provides both a resolution boundary and the invariant relational
> fabric for a translation between quantum[Planck scale] space and
> experiential reality. It is the quantum T-dual compactification that
> provides the Heisenberg resolution boudaries for
> experiential[perceptual] reality. Unstable or chaotic states at a
> given level are always "compactified" (stabilized and bounded by
> eigenstates) into 6 higher dimensions condensing to the next level of
> "event density".
>
> Since relativity explains that there is no preferred frame of
> reference, the ether becomes superfluous; consequently, the metric of
> space-time must be defined by related events, such, that there is no
> space-time if there are no events. Time is thus a sequence of events,
> with each "event", having its own measure of location, and its own
> measure of time, with reference to other events. Space becomes an
> event density-probability distribution.
>
>
> The organic analogues of quantum attractors are translated via
> quantized fractal modes onto the classical domain via
> compactification, while events on the classicaly canonical domain, of
> three spatial dimensions plus time, influence the
> collapse/condensation of these attractors on the quantum-level via
> feedback exitation modes.
>
>
> T-Duality is a symmetry that obscures the ability to differentiate
> between large and small distance scales; resulting from the
> compactification of the extra space dimensions in a ten dimensional
> superstring/brane theory. For example, in ten spacetime dimensions,
> with nine space and one time, take one of those nine space dimensions
> and make it a circle of radius R, so that traveling in that direction
> for a distance L=2*pi*R goes around the circle and returns back to the
> starting point. A particle traveling around this circle will have a
> quantized momentum around the circle, which will contribute to the
> total energy of the particle. But a string is very different, because
> in addition to traveling around the circle, the string can wrap around
> the circle. The number of times the string winds around the circle is
> called the winding number, and it is also quantized.
>
> The momentum modes and the winding modes can be interchanged when the
> radius, R, of a circle is also exchanged with the quantity L_st2/R,
> where L_st is the string length. If R is very much smaller than the
> string length, then the quantity L_st2/R is going to be very large.
> Consequently, exchanging momentum and winding modes of the string,
> exchanges a large distance scale of radius R with a small distance
> scale of radius 1/R.
>
> Theoretical physicist Richard Feynman derived the "sum over histories"
> interpretation of quantum mechanics, where a system does not have a
> single history, but it has every possible history, and each history
> has its own probability amplitude. A probability distribution of
> histories. For example, an electron travels from point A to point B by
> every possible route at once. Each possible route or "path"
> corresponds to a history.
>
> The amplitude for each history defines the probability of that
> particular path being followed. The number involves the "action"
> associated with the history-path, which seems to determine that the
> path taken, will be the history closest to the "classical" trajectory,
> in accordance with the natural law: conservation of energy.
>
> Stephen Hawking explains that when we apply the Feynman sum over
> histories to particles moving in a background of spacetime, we must
> also include histories[waveforms] in which the particle travels
> backwards in time. This generates the space-time/event-density fractal
> resonance.
>
>
> The increase in mass of a body moving at relativistic speeds can also
> be interpreted as a type of rotational perspective effect, and when
> time is explained as a dimension, "ct", by combining one of the c's
> with time to convert it to a length, E = m_0 c^2 becomes m_0 c , a
> momentum, specifically, a momentum of an object's motion down its time
> axis.
>
> A being's conscious awareness is what is really moving along its
> world- line, which is the fourth dimensional extension of its 3
> dimensional self.
>
> m_0 c is a momentum along its time axis.
>
> If we stopped moving through time the rest energy of objects would be
> zero?
>
> Interesting...
>
> (mc^2)^2 = (m_0 c^2) + m^2 v^2 c^2
>
> becomes
>
> (mc^2)^2 - m^2 v^2 c^2 = (m_0 c^2)^2
>
> An equation of the form:
>
> c^2 t^2 - dx^2 = K
>
>
> A quantum field unites gravity and electromagnetism.
>
> Gravity becomes a refractive/compression effect, as light cones are
> rotated near a massive object:
>
> Topological metric spaces are defined as being diffeomorphism
> invariant. Intersecting cotangent bundles[manifolds] are the set of
> all possible configurations of a system, i.e. they describe the phase
> space of the system. Waves are ripples in a basic medium. Einstein
> explains that the ether is unecessary as a medium, so the ripples are
> vibrations of space itself which are actually the overlapping of event
> densities/conic sections. As the ripples overlap/intersect with each
> other, it becomes a domino effect with the ripples continually
> increasing in density. Very similar to taking a penny and doubling it
> as a sequence.
>
> 2, 4, 8, 16, 32, 64, 128, 256, ... 2^n
>
> Since the ripples are increasing in density they are defined by
> density gradients. A compression force corresponding to the Shannon
> entropy of the system.
>
> 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.
what limits would be applied to
> "event" density of entangled quantum states, continually increases
would high level events that we describe semantically be 'physically demonstrated'?
Herc
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