scholarly journals Letter: Quantum Mechanics Without Spacetime II: Noncommutative Geometry and the Free Point Particle

2003 ◽  
Vol 35 (5) ◽  
pp. 869-876
Author(s):  
T. P. Singh
Keyword(s):  
Quantum Mechanics ◽  
Noncommutative Geometry ◽  
Point Particle

Dualism QM and GR

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Mechanics ◽  
General Theory ◽  
Noncommutative Geometry ◽  
Quantum Tunneling ◽  
Closed Surface ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Surface Integral ◽  
Definition Of

Quantum tunneling of noncommutative geometry gives the definition of time in the form of holography, that is, in the form of a closed surface integral. Ultimately, the holography of time shows the dualism between quantum mechanics and the general theory of relativity.

scholarly journals SOLIPSISTIC HIDDEN VARIABLES

2012 ◽  
Vol 10 (08) ◽  
pp. 1241016 ◽  
Author(s):  
HRVOJE NIKOLIĆ
Keyword(s):  
Quantum Mechanics ◽  
Degrees Of Freedom ◽  
Hidden Variables ◽  
Quantitative Model ◽  
Point Particle ◽  
Particle Trajectories ◽  
Bohmian Interpretation

We argue that it is logically possible to have a sort of both reality and locality in quantum mechanics. To demonstrate this, we construct a new quantitative model of hidden variables (HV's), dubbed solipsistic HV's, that interpolates between the orthodox no-HV interpretation and nonlocal Bohmian interpretation. In this model, the deterministic point-particle trajectories are associated only with the essential degrees of freedom of the observer, and not with the observed objects. In contrast with Bohmian HV's, nonlocality in solipsistic HV's can be substantially reduced down to microscopic distances inside the observer. Even if such HV's may look philosophically unappealing to many, the mere fact that they are logically possible deserves attention.

scholarly journals Feynman’s propagator in Schwinger’s picture of Quantum Mechanics

2021 ◽  
pp. 2150187
Author(s):  
F. M. Ciaglia ◽  
F. Di Cosmo ◽  
A. Ibort ◽  
G. Marmo ◽  
L. Schiavone ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Riemannian Manifold ◽  
Point Particle ◽  
Lagrangian Function ◽  
Natural Family ◽  
Quantum Propagator ◽  
Original Derivation ◽  
Classical Lagrangian

A novel derivation of Feynman’s sum-over-histories construction of the quantum propagator using the groupoidal description of Schwinger picture of Quantum Mechanics is presented. It is shown that such construction corresponds to the GNS representation of a natural family of states called Dirac–Feynman–Schwinger (DFS) states. Such states are obtained from a q-Lagrangian function [Formula: see text] on the groupoid of configurations of the system. The groupoid of histories of the system is constructed and the q-Lagrangian [Formula: see text] allows us to define a DFS state on the algebra of the groupoid. The particular instance of the groupoid of pairs of a Riemannian manifold serves to illustrate Feynman’s original derivation of the propagator for a point particle described by a classical Lagrangian L.

scholarly journals Quantum mechanics of a point particle in -dimensional gravity

1998 ◽  
Vol 15 (10) ◽  
pp. 2981-3030 ◽  
Author(s):  
Hans-Jürgen Matschull ◽  
Max Welling
Keyword(s):  
Quantum Mechanics ◽  
Point Particle ◽  
Dimensional Gravity

ON QUANTUM MECHANICS ON COMPACT SPACE

1992 ◽  
Vol 07 (27) ◽  
pp. 2477-2482 ◽  
Author(s):  
Y. OHNUKI ◽  
S. KITAKADO
Keyword(s):  
Quantum Mechanics ◽  
Compact Space ◽  
Relativistic Quantum ◽  
Point Particle ◽  
Relativistic Quantum Mechanics ◽  
Dimensional Sphere

Non-relativistic quantum mechanics is formulated on the surface of a four-dimensional sphere (S3). It is shown that a point particle on S3 can automatically carry spin.

scholarly journals Against Point Charges

2015 ◽  
Vol 7 (6) ◽  
pp. 138
Author(s):  
David L. Selke
Keyword(s):  
Quantum Mechanics ◽  
Current Theory ◽  
Point Particle ◽  
Point Of Departure

<p class="1Body">A new theory proposed by Dr. Randell Mills reproduces and surpasses the predictions of quantum mechanics and is incompatible with the current theory. A key point of departure is whether the electron is a point particle or if it extends into some shape. It is possible to choose between the two theories based on whether point or extended charges are consistent with known laws and observations.</p>

scholarly journals Contextuality and Noncommutative Geometry in Quantum Mechanics

2019 ◽  
Vol 365 (2) ◽  
pp. 375-429 ◽  
Author(s):  
Nadish de Silva ◽  
Rui Soares Barbosa
Keyword(s):  
Quantum Mechanics ◽  
Noncommutative Geometry
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