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Saturday, September 8, 2018

Quantum Causal Set of Matter, Action, and Phase


Mainstream physics presumes that the universe of space and time expands, but all matter and force remain constant over time. Except for a very short time during creation as the cosmic wave background matter and force supposedly have not varied. However, in the quantum causal set universe of discrete aether, matter shrinks and force grows and this is the reality of collapsing aether in a causal universe. The collapse of aether along with the expansion of force then agrees with the ever red-shifted galaxies and as a result, represents charge and gravity as one force.

It is matter and action that make up the universe of quantum matter and each successor particle evolved from progenitor matter in a story with very many actions that precede one another entangling each particle with the primal action of creation. That set of progenitor actions and the successor matter of the universe are the two basic axioms of quantum relativity with discrete quantum aether. The action of measurement, for example, observes the universe and is just one of the many successor actions that make up all matter. This means that observation actually becomes a part of the fundamental nature of action and therefore observation is the bridge between an objective reality and the subjective reality of consciousness.

Matter particles and their actions sprinkle onto the torus of matter action that represents the present moment. However, there is another dimension besides matter and action that represents the state of realityquantum phase.

In relativistic gravity, quantum phase has no meaning and both space and time are continuous and infinitely divisible. Quantum gravity, however, includes both quantum phase as well as a discrete matter and action. Quantum gravity actually replaces continuous space and time with a causal set of discrete aether and action and as a result, quantum gravity conforms to Lorentz variance and also conforms to quantum mechanics as the following shows.

In classical quantum mechanics, the standard Schrödinger equation is a differential of wave function with with continuous time proportional to the wave function as
 
which is valid over a very large range of scales, from 1e-39 to 1e39. At very small or very large scales, it it necessary to use different dimensions than space and time. The nature of the dimensionless wavefunction has, for example, always been somewhat mysterious since particle masses are actually matter wavefunctions that have the properties of waves with quantum phase, entanglement, and superposition and so particles are not just the round balls of gravity matter. It is the mass of phaseless Oppenheimer dust that makes up black holes in general relativity.

Thus far, there has not been a need for gravity wavefunctions at small scales since charge overwhelms the gravity of very small scales to the 1e-39 power of hydrogen mass. However, gravity also involves very large scales to the 1e39 power of the mass versus hydrogen, which are black holes and neutron stars and galaxies. Restating the Schrödinger equation in matter and action now includes both the large and small gravity scales in addition to charge. Since the notions of both space and time fail at both very large and very small scales, a quantum gravity consistent with charge force is not possible with the limited notions of continuous space and time since gravity affects both space and time at very large and at very small scales.

A quantum gravity of aether particles Cortez and Smolin 2011 does bridge the gap from the very small to the very large and it is from the actions of aether that both space and time emerge Surya 2018. However, these approaches restate the Schrödinger equation with energy and momentum and have not been quite complete while the approach below with matter, action, and quantum phase is complete for both gravity and charge.

The universal quantum aether equation with respect to changes in aether now includes aether decay as
with the intrinsic decay of aether based on charge force as


In this approach, it is now mass defects instead of energy defects that define the Hamiltonian of quantum mechanics, Md

This means that there are not just one but actually two different time dimensions that emerge from matter action: a very fast atomic time and a very slow universe time. The universe does not exist first of all as matter and action in time and space, but rather first of all in pure matter and action. Time emerges from the successor relationships of aether with progenitors and that relationship represents both gravity and charge, but at very different scales.

Charge a result of the very fast phase oscillation time of the speed of light, but charge evolves as a result of the very slow phase oscillation of the universe, i.e., one phase per universe cycle. The quantum Hamilton-Jacobi operator is then

which is zero for a bound action and tB is the orbital period. The relativistic gravity Hamilton-Jacobi is then just the norm of the quantum version.

Space and time both emerge from quantum the phase actions of aether matter that give the hydrogen orbit radius as space and the orbital period action as time. The universe then comprises both matter and action along with phase from which emerges both time and space from the matter and action of a causal set of quantum aether. This means that both space and time are a part of matter action and so the quantum aether Hamiltonian incorporates both gravity and charge into a single universal equation of motion.

This restates charge and gravity constants as
The very large number of aether particles that make up the aether universe are the successors of progenitor causal set as the figure shows and now include quantum phase. It is aether action that makes up space and time and it is from the action of aether that time and space emerge. Aether action also makes up all ordinary matter and the decay or decoherence of aether is then what determines both charge and gravity forces in the causal set of aether that makes up the universe.


The figure below shows observers and objects with the dimensions of matter and action and how those dimensions map onto the Cartesian universe of space and time. The overarching role of quantum phase in the discrete aether and action entangles the the quantum phase of the universe with that of atoms.