Relativity is important at high speed or gravity. Quantum mechanics is important at small distances and energies. Theories {quantum relativity} try to unite relativity and quantum mechanics.
Space-time time and quantum-mechanics time are not compatible. By uncertainty principle and complementarity principle, relativistic space-time and quantum-mechanics space-time are not compatible. In quantum mechanics, space-time is one history in superspace, with all possible histories inside, which all interact to give actual space-time. Space-time geometry has probability and phase and cannot be at any location. In relativity, physics is local, and space-time is relativistic.
fluid
From far away, fluids and crystals are continuous as in relativity, but from nearby they are discrete as in quantum mechanics. Fluids can model space-time curvature. Sound propagating in turbulently flowing fluid has similarities to light propagating in curved space-time.
fluid: black hole
Black-hole-radiation Hawking effect occurs at continuous event horizon at vacuum ground-state energy. Sound waves must have wavelength longer than distance between molecules. Hawking-effect photons start with wavelength less than black-hole diameter. Gravity pulls emitted photons, so wavelength becomes longer.
fluid: low temperature
At near-zero temperature, sounds can have phonon quanta. Flow changes are slow compared to molecular changes, so phonons have ground-state energy. In non-accelerating fluid, wavelength, frequency, and speed stay constant. In accelerating fluid, wavelength and speed increase. As wavelength approaches distance between molecules, molecular interactions cause speed in different fluids to differ. If speed stays constant {Type I behavior}, quantum effects do not matter. If speed decreases {Type II behavior}, phonons just outside event horizon can go below horizon speed and first fall in but then go out. If speed increases {Type III behavior}, phonons just inside event horizon can exceed horizon speed and escape.
fluid: surface waves
Surface waves on deeper and shallower flowing water can model event-horizon behavior.
fluid: inertia
Fluids have inertia, which affects motions. Electromagnetism has self-energy. Perhaps, inertia and self-energy relate.
unification by harmonic oscillators
In quantum mechanics, continuous fields are virtual-particle streams. Fields can carry waves. Infinite-length virtual-particle streams can be harmonic oscillators. Perhaps, quantum-mechanical waves are virtual-particle harmonic oscillators.
General relativity uses tensors to represent continuous fields. Tensors can represent harmonic oscillators. Perhaps, general-relativity tensors are harmonic oscillators.
Perhaps, harmonic oscillators unify general relativity and quantum mechanics by combining waves and quanta.
Physical Sciences>Physics>Quantum Mechanics>Theory>Quantum Relativity
5-Physics-Quantum Mechanics-Theory-Quantum Relativity
Outline of Knowledge Database Home Page
Description of Outline of Knowledge Database
Date Modified: 2022.0224