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 probability density functions(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 Shannon entropy

increases.

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.

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.