ZelmersZoetrop said:
I'm sorry, but I simply cannot allow an abuse of physics to go to. Look here at the metric for a black hole (I'll assume no rotation or charge, and take c=1, for simplicity, also, I use (r,H,I) for polar spatial co-ordinates):
ds^2=(1-2Gm/r)dt^2-(1-2Gm/r)^(-1)dr^2-r^2*dH^2-r^2*sin[H]^2*dI^2
Clearly, the event horizon is the same for all objects or photons or anything, no matter their energy or any other quality. The horizon comes not from the energy or speed or anything else of the infalling matter but rather because from an outside observer, time stops and spatial curvature goes to infinity when r=2Gm.
The Schwarzschild geometry is the geometry of the vacuum spacetime outside
a spherical star. It is determined by one parameter, M = mass.
Of course curvature going to infinity when r = 2GM might not be the actual case when quantum effects are taken into account. The goal is to eliminate the inconsistencies, including eliminatation of the the pesky infinities.
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. 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 law of 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 spacetime resonance:
If particles of energy and matter can be described as spherical standing waves, vibrations emerging out of of the vacuum itself, the equivalence of inertial mass and gravitational mass could be easily explained?
(<-(<-(P)->)->) and (->(->(P)<-)<-) becomes (<-(->(P)<-)->)
A particle is then at standing wave resonance.
If the particle is moving at a constant velocity, it is at a balanced equilibrium.
If the particle is accelerated, or is in the presence of a massive object it experiences time dilation and length contraction:
(<---(->(P)<---)->)
Distance is a property between objects in space. Duration is a distance between events in time. Spacetime is a relational structure; The structure of space is possibly a Boolean lattice.
Sets can be represented by Venn diagrams.
Venn diagrams can be represented as light cone cross sections.
The "universal set" is represented by the the universal lightcone!
(<-(->(U)<-)->)
Past and future intersect at the present. A system at standing wave resonance.
If the locality principle is not going to be thrown into the trash heap, then a viable option is that space is something analogous to homogeneously distributed wave density function(a perfect fluid?) i.e. increasing density gradients, giving the observed thermodynamic arrow of time. The observed cosmic expansion is a "relative" one! A "perspective effect" from our local vantage point. A shrinking object gives the illusion of receding motion. Increasing *refractive* density gradients give the appearence of a doppler-red-shift. Space increases density as matter is re-sized.
Spacetime then "remembers" the input! A quantum measurement is made, the action principle demands the shortest distance between two points be taken, whatever that may be. There is no instantaneous action at a distance!
So what we observe as an absolute spacetime expansion is not really true. The expansion is relative. From a local perspective, the universe appears to expand with radius R. From a global perspective energy density is compressed with radius 1/R. The only real constant for the universe is "h", which is Planck's constant. All other physical constants are related to this basic evolutionary parameter
At the Planck scales space becomes a type of Bose Einstein condensate...?
A quantum mechanical theory of black holes could point towards a type of bose Einstein condensation
instead of a singularity.
Richard Feynman explains that a positron which is an anti matter particle corresponding to the matter particle called the electron, can also be interpreted as an electron moving backwards in time. This points towards a system[universe] at temporal "standing wave" resonance.
Quantum mechanics leads us to the realization that all matter-energy can be explained in terms of "waves". In a confined region(i.e. a closed universe or a black hole) the waves exists as STANDING WAVES In a closed system, the entropy never decreases.
The analogy with black holes is an interesting one but if there is nothing outside the universe, then it cannot be radiating energy outside itself as black holes are explained to be. So the amount of information i.e. "quantum states" in the universe is increasing. We see it as entropy, but to an information processor with huge computational capabilities, it is compressible information.
Quantum field theory calculations where imaginary time is periodic, with period 1/T are equivalent to statistical mechanics calculations where the temperature is T. The periodic waveforms that are opposed yet "in phase" would be at standing wave resonance, giving the action.
What kind of waves are possible inside a black hole? The answer is standing waves, waves that "fit" inside the black hole with a node at the event horizon. The possible wave states are very similar to standing waves on a circular drum; they aren't quite the same because the black hole standing waves exist in three dimensions instead of just the two of the drum head.
These waves intersections are increasing with time. A type of compression force.
Waves are ripples in a basic medium. Einstein explains that the ether is unecessary as a medium, so the ripples are vibrations of spacetime itself.
Space is at right angles to time.
Electricity is at right angles to magnetism.
Gravity is at right angles to inertia.
All are aspects of one unified field.
Wavefronts = cotangent vectors = one forms
The wave function for a the quantum compression wave could be analogous to the quantum spring equation:
psi = exp(-beta x^2 / 2),
with beta = 2 pi * square root(mk) / h, with m being the mass of the particle attached to the spring,
k is the spring's force constant, and h is Planck's constant.
x is the compression or extension of the spring from its equilibrium position.