On Non-Linear Quantum Mechanics, Space-Time Wavefunctions, and
Compatibility with General Relativity
- URL: http://arxiv.org/abs/2008.08663v1
- Date: Wed, 19 Aug 2020 20:43:15 GMT
- Title: On Non-Linear Quantum Mechanics, Space-Time Wavefunctions, and
Compatibility with General Relativity
- Authors: W. David Wick
- Abstract summary: I show that NLQM is compatible with Einstein's theory of General Relativity.
This kind of matter may violate the Strong Energy Condition even without a mass term.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In previous papers I expounded non-linear Schrodingerist quantum mechanics as
a solution of the Measurement Problem. Here I show that NLQM is compatible with
Einstein's theory of General Relativity. The extension to curved space-times
presumes adoption of "space-time wavefunctions" (sometimes called "multi-time
wavefunctions") and some additional algebraic structure: a "bitensor"
supplementing Einstein's metric tensor. This kind of matter may violate the
Strong Energy Condition even without a mass term, possibly with implications
for the formation of singularities within Black Holes.
Related papers
- An algebraic approach to gravitational quantum mechanics [0.0]
We study various models of gravitational quantum mechanics.
The free time evolution of a Gaussian wave packet is investigated.
The spectral properties of a particle bound by an external attractive potential are considered.
arXiv Detail & Related papers (2024-02-27T15:54:18Z) - Double-scale theory [77.34726150561087]
We present a new interpretation of quantum mechanics, called the double-scale theory.
It is based on the simultaneous existence of two wave functions in the laboratory reference frame.
The external wave function corresponds to a field that pilots the center-of-mass of the quantum system.
The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
arXiv Detail & Related papers (2023-05-29T14:28:31Z) - Geometric Event-Based Relativistic Quantum Mechanics [8.057006406834466]
We propose a special relativistic framework for quantum mechanics.
It is based on introducing a Hilbert space for events.
Our theory satisfies the full Poincare' symmetry as a geometric' unitary transformation.
arXiv Detail & Related papers (2022-06-16T17:58:09Z) - Bound on Quantum Fluctuations in Gravitational Waves from LIGO [0.0]
We derive some of the central equations governing quantum fluctuations in gravitational waves.
We make use of general relativity as a sensible effective quantum theory at large distances.
arXiv Detail & Related papers (2021-12-22T19:00:03Z) - "Mysteries" of Modern Physics and the Fundamental Constants $c$, $h$,
and $G$ [0.0]
We review how the kinematic structures of special relativity and quantum mechanics both stem from the relativity principle, i.e., "no preferred reference frame"
We see an underlying coherence and integrity in modern physics via its "mysteries" and the fundamental constants $c$, $h$, and $G$.
arXiv Detail & Related papers (2021-10-13T18:36:52Z) - The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events.
A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z) - The arithmetic of uncertainty unifies quantum formalism and relativistic
spacetime [0.0]
Quantum theory deals with objects probabilistically at small scales, whereas relativity deals classically with motion in space and time.
We show here that the mathematical structures of quantum theory and of relativity follow together from pure thought.
One dimension of time and three dimensions of space are thus derived as the profound and inevitable framework of physics.
arXiv Detail & Related papers (2020-12-19T20:40:27Z) - Schrodinger theory of black holes [0.0]
The Schrodinger equation of the Schwarzschild black hole (SBH) is derived via Feynman's path integral approach.
The traditional classical singularity in the core of the SBH is replaced by a nonsingular two-particle system.
arXiv Detail & Related papers (2020-12-15T12:09:19Z) - The Non-Hermitian quantum mechanics and its canonical structure [7.784991832712813]
The non-Hermitian Schr"odinger equation is re-expressed generally in the form of Hamilton's canonical equation without any approximation.
The conventional difficulties in non-Hermitian quantum mechanics are totally overcome by the reformulation.
arXiv Detail & Related papers (2020-05-21T05:52:53Z) - Quantum time dilation: A new test of relativistic quantum theory [91.3755431537592]
A novel quantum time dilation effect is shown to arise when a clock moves in a quantum superposition of two relativistic velocities.
This effect is argued to be measurable using existing atomic interferometry techniques, potentially offering a new test of relativistic quantum theory.
arXiv Detail & Related papers (2020-04-22T19:26:53Z) - External and internal wave functions: de Broglie's double-solution
theory? [77.34726150561087]
We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory.
The principle is to decompose the evolution of a quantum system into two wave functions.
For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
arXiv Detail & Related papers (2020-01-13T13:41:24Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.