Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

European Journal of Theoretical and Applied Sciences

Possible Extensions on Quantum Field Theory, Loop Quantum Gravity and Statistics

Yi-Fang Chang

Published Oct 23, 2025• 0 citations
Publisher

Abstract

Based on the extensive quantum theory, the extensive quantum field theory first is discussed. Second, we propose the extensive loop quantum gravity and nineteen possible ways. Third, we research the extensive quantum statistics and relations with various interactions, in which FD and BE statistics correspond to repulsion and attraction interactions, respectively. Fourth, we study these theoretical applications in biology

DOI
10.59324/ejtas.2025.3(6).05

Related papers

Quantum Field Theory and Critical Phenomena

Jean Zinn‐Justin

Abstract Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, although excellent textbooks about QFT had already been published, I thought, many years ago, that it might not be completely worthless to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group (RG) properties are systematically discussed. The notion of effective field theory (EFT) and the emergence of renormalizable theories are described. The consequences for fine-tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised.

Oxford University Press eBooks•Jun 6, 2002•5,124 citations

Theoretical Variables, Quantum Theory, Relativistic Quantum Field Theory, and Quantum Gravity

Inge Svein Helland, Harish Parthasarathy

This book presents a comprehensive treatment of quantum theory using theoretical variables as its foundation. The work progresses from fundamental quantum mechanical principles to sophisticated applications in quantum field theory and gravity. It provides rigorous mathematical frameworks while establishing connections between theoretical physics and practical engineering applications. Particularly suitable for graduate students and researchers in physics, mathematics, and engineering disciplines seeking to understand quantum phenomena across theoretical and applied domains. Presents an advanced treatment of quantum theory across two interconnected parts Examines Bell experiments, quantum probability, information theory, and connections to relativity Extends these foundations to explore quantum field theory, gravity, and noise theory Bridges the gap between theoretical physics and engineering applications Covers topics from Yang-Mills fields, quantum gravity to neural networks and biomedical applications of quantum electrodynamics Addresses quantum measurement of gravitons, Hawking radiation, classical and quantum neural networks with practical examples Provides mathematical frameworks for understanding quantum phenomena in applied contexts This title has been co-published with Manakin Press. Taylor & Francis does not sell or distribute the print edition in India, Pakistan, Nepal, Bhutan, Sri Lanka and Bangladesh.

CRC Press eBooks•Oct 23, 2025•0 citations

ONTOLOGY OF LOOPED QUANTUM GRAVITY. HINGES

В.Д. Эрекаев

Some ontological aspects of the theory of loop quantum gravity are considered. First of all, its possible nature of one of the fundamental objects of theory - the quantum loop - is discussed. In particular, the possible material, geometric and instrumentalist interpretations of this object are briefly considered.

Metafizika•Dec 15, 2021•0 citations

Gravitational decoherence, alternative quantum theories and semiclassical gravity

B. L. Hu

In this report we discuss three aspects: 1) Semiclassical gravity theory (SCG): 4 levels of theories describing the interaction of quantum matter with classical gravity. 2) Alternative Quantum Theories: Discerning those which are derivable from general relativity (GR) plus quantum field theory (QFT) from those which are not 3) Gravitational Decoherence: derivation of a master equation and examination of the assumptions which led to the claims of observational possibilities. We list three sets of corresponding problems worthy of pursuit: a) Newton-Schrödinger Equations in relation to SCG; b) Master equation of gravity-induced effects serving as discriminator of 2); and c) Role of gravity in macroscopic quantum phenomena.

arXiv:1402.6584•Journal of Physics Conference Series•Apr 14, 2014•30 citations

Research and Development of Uncertainty Relations, and Reconsider and Description of Duality

Yi‐Fang Chang

First, based on the uncertainty principle in quantum theory and new generalized uncertainty principle, we research uncertain relations of entropy, information and thermodynamics, and propose the speed of light and some fundamental constants should be uncertain. Next, in the quantum entangled states, velocities of different phases may be superluminal, and obey possibly general Lorentz transformation (GLT). Third, we search its possible development in superstring, and the extensive quantum theory, various matters and different phases, etc. Fourth, the duality exists probably only under interactions. Some nonlinear quantum equations and wave equations have soliton solutions, which correspond to particles. This is mathematical description of wave-particle duality. Fifth, based on the soliton-chaos double solutions of nonlinear equations, we propose the field-particle duality, and field (wave)-quantum-chaos ternary. Sixth, the irreversibility and statistics are discussed, and we derive operators of entropy, etc. New measuring technology and some developed theories already challenge the uncertainty principle and duality, which may not be held under certain conditions, and must be modified and developed.

European journal of applied sciences•Jun 30, 2021•0 citations

Some Other Advanced Topics

S. Rajasekar, R. Velusamy

This chapter presents some basic ideas and the features of quantum gravity. It gives a compact summary of fundamental ideas of the approaches of semiclassical gravity, loop quantum gravity and string theory. Reconstructing the quantum state of a system on another system of the same type at a distant place is termed as quantum teleportation. Quantum Zeno effect is important in understanding quantum theory of measurement and is in fact a vital tool in quantum computing. Quantum cosmology is considered an application of quantum mechanics to the universe as a whole. The classical cosmology theory is mainly based on the cosmological principle and the expansion of the universe. George Antonovich Gamow and his collaborators Ralph Asher Alpher and Robert Herman proposed the Big-Bang model of the universe to account for the abundances of the elements. Cosmic inflation is based on the hypothesis that the early universe underwent an extremely rapid expansion.

CRC Press eBooks•Oct 5, 2022•0 citations
Based on the extensive quantum theory, the extensive quantum field theory first is discussed. Second, we propose the extensive loop quantum gravity and nineteen possible ways. Third, we research the extensive quantum statistics and relations with various interactions, in which FD and BE statistics correspond to repulsion and attraction interactions, respectively. Fourth, we study these theoretical applications in biology
Abstract Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, although excellent textbooks about QFT had already been published, I thought, many years ago, that it might not be completely worthless to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group (RG) properties are systematically discussed. The notion of effective field theory (EFT) and the emergence of renormalizable theories are described. The consequences for fine-tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised.
This book presents a comprehensive treatment of quantum theory using theoretical variables as its foundation. The work progresses from fundamental quantum mechanical principles to sophisticated applications in quantum field theory and gravity. It provides rigorous mathematical frameworks while establishing connections between theoretical physics and practical engineering applications. Particularly suitable for graduate students and researchers in physics, mathematics, and engineering disciplines seeking to understand quantum phenomena across theoretical and applied domains. Presents an advanced treatment of quantum theory across two interconnected parts Examines Bell experiments, quantum probability, information theory, and connections to relativity Extends these foundations to explore quantum field theory, gravity, and noise theory Bridges the gap between theoretical physics and engineering applications Covers topics from Yang-Mills fields, quantum gravity to neural networks and biomedical applications of quantum electrodynamics Addresses quantum measurement of gravitons, Hawking radiation, classical and quantum neural networks with practical examples Provides mathematical frameworks for understanding quantum phenomena in applied contexts This title has been co-published with Manakin Press. Taylor & Francis does not sell or distribute the print edition in India, Pakistan, Nepal, Bhutan, Sri Lanka and Bangladesh.
In this report we discuss three aspects: 1) Semiclassical gravity theory (SCG): 4 levels of theories describing the interaction of quantum matter with classical gravity. 2) Alternative Quantum Theories: Discerning those which are derivable from general relativity (GR) plus quantum field theory (QFT) from those which are not 3) Gravitational Decoherence: derivation of a master equation and examination of the assumptions which led to the claims of observational possibilities. We list three sets of corresponding problems worthy of pursuit: a) Newton-Schrödinger Equations in relation to SCG; b) Master equation of gravity-induced effects serving as discriminator of 2); and c) Role of gravity in macroscopic quantum phenomena.
First, based on the uncertainty principle in quantum theory and new generalized uncertainty principle, we research uncertain relations of entropy, information and thermodynamics, and propose the speed of light and some fundamental constants should be uncertain. Next, in the quantum entangled states, velocities of different phases may be superluminal, and obey possibly general Lorentz transformation (GLT). Third, we search its possible development in superstring, and the extensive quantum theory, various matters and different phases, etc. Fourth, the duality exists probably only under interactions. Some nonlinear quantum equations and wave equations have soliton solutions, which correspond to particles. This is mathematical description of wave-particle duality. Fifth, based on the soliton-chaos double solutions of nonlinear equations, we propose the field-particle duality, and field (wave)-quantum-chaos ternary. Sixth, the irreversibility and statistics are discussed, and we derive operators of entropy, etc. New measuring technology and some developed theories already challenge the uncertainty principle and duality, which may not be held under certain conditions, and must be modified and developed.
This chapter presents some basic ideas and the features of quantum gravity. It gives a compact summary of fundamental ideas of the approaches of semiclassical gravity, loop quantum gravity and string theory. Reconstructing the quantum state of a system on another system of the same type at a distant place is termed as quantum teleportation. Quantum Zeno effect is important in understanding quantum theory of measurement and is in fact a vital tool in quantum computing. Quantum cosmology is considered an application of quantum mechanics to the universe as a whole. The classical cosmology theory is mainly based on the cosmological principle and the expansion of the universe. George Antonovich Gamow and his collaborators Ralph Asher Alpher and Robert Herman proposed the Big-Bang model of the universe to account for the abundances of the elements. Cosmic inflation is based on the hypothesis that the early universe underwent an extremely rapid expansion.