scholarly journals Quantum-Wave Equation and Heisenberg Inequalities of Covariant Quantum Gravity

Entropy ◽  
2017 ◽  
Vol 19 (7) ◽  
pp. 339 ◽  
Author(s):  
Claudio Cremaschini ◽  
Massimo Tessarotto
Keyword(s):  
Wave Equation ◽  
Quantum Gravity ◽  
Covariant Quantum ◽  
Quantum Wave ◽  
Quantum Wave Equation

scholarly journals Role of Quantum Entropy and Establishment of H-Theorems in the Presence of Graviton Sinks for Manifestly-Covariant Quantum Gravity

Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 418 ◽  
Author(s):  
Massimo Tessarotto ◽  
Claudio Cremaschini
Keyword(s):  
Quantum Gravity ◽  
Gaussian Function ◽  
Quantum Probability ◽  
De Sitter ◽  
Covariant Quantum ◽  
Generalized Lagrangian ◽  
Quantum Wave ◽  
H Theorem

Based on the introduction of a suitable quantum functional, identified here with the Boltzmann–Shannon entropy, entropic properties of the quantum gravitational field are investigated in the framework of manifestly-covariant quantum gravity theory. In particular, focus is given to gravitational quantum states in a background de Sitter space-time, with the addition of possible quantum non-unitarity effects modeled in terms of an effective quantum graviton sink localized near the de Sitter event horizon. The theory of manifestly-covariant quantum gravity developed accordingly is shown to retain its emergent-gravity features, which are recovered when the generalized-Lagrangian-path formalism is adopted, yielding a stochastic trajectory-based representation of the quantum wave equation. This permits the analytic determination of the quantum probability density function associated with the quantum gravity state, represented in terms of a generally dynamically-evolving shifted Gaussian function. As an application, the study of the entropic properties of quantum gravity is developed and the conditions for the existence of a local H-theorem or, alternatively, of a constant H-theorem are established.

scholarly journals Quantum Wave Equation of Photon

2009 ◽  
Vol 49 (1) ◽  
pp. 194-200 ◽  
Author(s):  
Xiang-Yao Wu ◽  
Xiao-Jing Liu ◽  
Yi-Heng Wu ◽  
Qing-Cai Wang ◽  
Yan Wang ◽  
...  
Keyword(s):  
Wave Equation ◽  
Quantum Wave ◽  
Quantum Wave Equation

scholarly journals Collision-space-time: Unified quantum gravity

2020 ◽  
Vol 33 (1) ◽  
pp. 46-78 ◽  
Author(s):  
Espen Gaarder Haug
Keyword(s):  
Wave Equation ◽  
Quantum Gravity ◽  
Planck Scale ◽  
Space Time ◽  
Relativistic Wave Equation ◽  
Relativistic Energy ◽  
Modern Physics ◽  
Heisenberg Uncertainty ◽  
Quantum Wave ◽  
New Formulation

For about hundred years, modern physics has not been able to build a bridge between quantum mechanics (QM) and gravity. However, a solution may be found here. We present our quantum gravity theory, which is rooted in indivisible particles where matter and gravity are related to collisions and can be described by collision-space-time. In this paper, we also show that we can formulate a quantum wave equation rooted in collision-space-time, which is equivalent to mass and energy. The beauty of our theory is that most of the main equations that currently exist in physics are, in general, not changed in terms of predictions and what we could call structural form, except at the Planck scale. The Planck scale is directly linked to gravity, which has obviously already been detected, and gravity is actually a Lorentz symmetry as well as a form of Heisenberg uncertainty break down at the Planck scale. Our theory gives a dramatic simplification of many physics formulas without altering the output predictions, except at the Planck scale, and this new formulation gives us a unified theory. The relativistic wave equation, the relativistic energy momentum relation, and Minkowski space can all be represented by simpler equations when we understand mass at a deeper level. This is not attained at a cost, but rather a reflection of the benefit in having gravity and QM unified under the same theory.

scholarly journals On the Dynamical Nature of Nonlinear Coupling of Logarithmic Quantum Wave Equation, Everett-Hirschman Entropy and Temperature

2018 ◽  
Vol 73 (7) ◽  
pp. 619-628 ◽  
Author(s):  
Konstantin G. Zloshchastiev
Keyword(s):  
Wave Equation ◽  
Dynamical Behavior ◽  
Quantum Mechanical ◽  
Nonlinear Coupling ◽  
Many Body ◽  
Quantum Wave ◽  
Many Body Systems ◽  
Quantum Mechanical Systems ◽  
Logarithmic Equation ◽  
Quantum Wave Equation

AbstractWe study the dynamical behavior of the nonlinear coupling of a logarithmic quantum wave equation. Using the statistical mechanical arguments for a large class of many-body systems, this coupling is shown to be related to temperature, which is a thermodynamic conjugate to the Everett-Hirschman’s quantum information entropy. A combined quantum-mechanical and field-theoretical model is proposed, which leads to a logarithmic equation with variable nonlinear coupling. We study its properties and present arguments regarding its nature and interpretation, including the connection to Landauer’s principle. We also demonstrate that our model is able to describe linear quantum-mechanical systems with shape-changing external potentials.

scholarly journals Quantum Wave Equation of Non-conservative System

2009 ◽  
Vol 48 (7) ◽  
pp. 2027-2035 ◽  
Author(s):  
Xiang-Yao Wu ◽  
Bai-Jun Zhang ◽  
Hai-Bo Li ◽  
Xiao-Jing Liu ◽  
Jing-Wu Li ◽  
...  
Keyword(s):  
Wave Equation ◽  
Conservative System ◽  
Quantum Wave ◽  
Quantum Wave Equation

scholarly journals SCHRÖDINGER EQUATION OF GENERAL POTENTIAL

2011 ◽  
Vol 25 (15) ◽  
pp. 2009-2017
Author(s):  
XIANG-YAO WU ◽  
BO-JUN ZHANG ◽  
HAI-BO LI ◽  
XIAO-JING LIU ◽  
NUO BA ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Wave Equation ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Wave Equations ◽  
General Potential ◽  
Quantum Wave ◽  
Quantum Wave Equation

A generalization of quantum mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential [Formula: see text], and the Schrödinger equation is only suited for the particle in common potential V(r, t). We think these new quantum wave equations can be used in some fields.

The quantum wave equation

2015 ◽  
pp. 185-213
Author(s):  
Daniel Fleisch ◽  
Laura Kinnaman
Keyword(s):  
Wave Equation ◽  
Quantum Wave ◽  
Quantum Wave Equation
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