The Equivalence Postulate of Quantum Mechanics, Dark Energy, and the Intrinsic Curvature of Elementary Particles
Author
Source
Advances in High Energy Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The equivalence postulate of quantum mechanics offers an axiomatic approach to quantum field theories and quantum gravity.
The equivalence hypothesis can be viewed as adaptation of the classical Hamilton-Jacobi formalism to quantum mechanics.
The construction reveals two key identities that underlie the formalism in Euclidean or Minkowski spaces.
The first is a cocycle condition, which is invariant under D-dimensional Möbius transformations with Euclidean or Minkowski metrics.
The second is a quadratic identity which is a representation of the D-dimensional quantum Hamilton-Jacobi equation.
In this approach, the solutions of the associated Schrödinger equation are used to solve the nonlinear quantum Hamilton-Jacobi equation.
A basic property of the construction is that the two solutions of the corresponding Schrödinger equation must be retained.
The quantum potential, which arises in the formalism, can be interpreted as a curvature term.
The author proposes that the quantum potential, which is always nontrivial and is an intrinsic energy term characterising a particle, can be interpreted as dark energy.
Numerical estimates of its magnitude show that it is extremely suppressed.
In the multiparticle case the quantum potential, as well as the mass, is cumulative.
American Psychological Association (APA)
Faraggi, Alon E.. 2013. The Equivalence Postulate of Quantum Mechanics, Dark Energy, and the Intrinsic Curvature of Elementary Particles. Advances in High Energy Physics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511340
Modern Language Association (MLA)
Faraggi, Alon E.. The Equivalence Postulate of Quantum Mechanics, Dark Energy, and the Intrinsic Curvature of Elementary Particles. Advances in High Energy Physics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-511340
American Medical Association (AMA)
Faraggi, Alon E.. The Equivalence Postulate of Quantum Mechanics, Dark Energy, and the Intrinsic Curvature of Elementary Particles. Advances in High Energy Physics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-511340
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511340