Weyl Geometry and Quantum Corrections
- URL: http://arxiv.org/abs/2112.12964v1
- Date: Fri, 24 Dec 2021 06:38:02 GMT
- Title: Weyl Geometry and Quantum Corrections
- Authors: Sijo K. Joseph
- Abstract summary: Weyl Geometry can be used to merge quantum theory and general relativity consistently as classical field theories.
In the Weyl Geometric framework, it seems that both quantum theory and gravity can merge consistently, once quantum theory is geometrized.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recent research in the geometric formulation of quantum theory has implied
that Weyl Geometry can be used to merge quantum theory and general relativity
consistently as classical field theories. In the Weyl Geometric framework, it
seems that both quantum theory and gravity can merge consistently, once quantum
theory is geometrized. The extended differential geometry can modify the
quantum mechanical results into a more general nonlinear framework. Author
shows that, how the extended differential geometry modifies the known quantum
equations and also the modification to the Maxwell's electromagnetic equations.
Related papers
- Generating Quantum Matrix Geometry from Gauged Quantum Mechanics [0.0]
We present a quantum-oriented non-commutative scheme for generating the matrix geometry of the coset space $G/H$.
The resultant matrix geometries manifest as $itpure$ quantum Nambu geometries.
We demonstrate how these quantum Nambu geometries give rise to novel solutions in Yang-Mills matrix models.
arXiv Detail & Related papers (2023-10-02T09:59:18Z) - Quantum simulation of Maxwell's equations via Schr\"odingersation [27.193565893837356]
We present quantum algorithms for electromagnetic fields governed by Maxwell's equations.
The algorithms are based on the Schr"odingersation approach.
Instead of qubits, the quantum algorithms can also be formulated in the continuous variable quantum framework.
arXiv Detail & Related papers (2023-08-16T14:52:35Z) - Connecting classical finite exchangeability to quantum theory [69.62715388742298]
Exchangeability is a fundamental concept in probability theory and statistics.
We show how a de Finetti-like representation theorem for finitely exchangeable sequences requires a mathematical representation which is formally equivalent to quantum theory.
arXiv Detail & Related papers (2023-06-06T17:15:19Z) - Geometric phases, Everett's many-worlds interpretation of quantum
mechanics, and wormholes [0.0]
We show how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to embody'' the Everett's many-worlds interpretation of quantum mechanics.
We show that this geometric realisation is intimately related to quantum gravity, showing that the many-world interpretation can be consistent with quantum gravity.
arXiv Detail & Related papers (2023-02-27T10:38:05Z) - General quantum algorithms for Hamiltonian simulation with applications
to a non-Abelian lattice gauge theory [44.99833362998488]
We introduce quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple quantum numbers.
The lattice gauge theory studied is the SU(2) gauge theory in 1+1 dimensions coupled to one flavor of staggered fermions.
The algorithms are shown to be applicable to higher-dimensional theories as well as to other Abelian and non-Abelian gauge theories.
arXiv Detail & Related papers (2022-12-28T18:56:25Z) - Classical and Quantum Measurement Theory [0.0]
We introduce noncommutativity into classical measurement theory.
We also add quantum noise, differentiated from thermal noise by Poincar'e invariance.
This unification allows us to discuss a unified measurement theory for geometry in physics.
arXiv Detail & Related papers (2022-01-12T19:44:34Z) - Geometric and holonomic quantum computation [1.4644151041375417]
Quantum gates based on geometric phases and quantum holonomies possess built-in resilience to certain kinds of errors.
This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates.
arXiv Detail & Related papers (2021-10-07T16:31:54Z) - Geometric and algebraic approaches to quantum theory [0.0]
We show how to formulate physical theory taking as a starting point the set of states.
The equations of motion and the formulas for probabilities of physical quantities are analyzed.
arXiv Detail & Related papers (2021-02-18T06:39:01Z) - Rectification induced by geometry in two-dimensional quantum spin
lattices [58.720142291102135]
We address the role of geometrical asymmetry in the occurrence of spin rectification in two-dimensional quantum spin chains.
We show that geometrical asymmetry, along with inhomogeneous magnetic fields, can induce spin current rectification even in the XX model.
arXiv Detail & Related papers (2020-12-02T18:10:02Z) - Quantum simulation of gauge theory via orbifold lattice [47.28069960496992]
We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer.
We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
arXiv Detail & Related papers (2020-11-12T18:49:11Z) - From a quantum theory to a classical one [117.44028458220427]
We present and discuss a formal approach for describing the quantum to classical crossover.
The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
arXiv Detail & Related papers (2020-04-01T09:16:38Z)
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.