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Nonexistence of quantum black and white hole horizons in an improved dynamic approach

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Science China(Physics,Mechanics & Astronomy) 2024年第8期67卷 56-73页

作者： Wen-Cong Gan Xiao-Mei Kuang Zhen-Hao Yang Yungui Gong Anzhong Wang Bin Wang College of Physics and Communication Electronics Jiangxi Normal UniversityNanchang 330022China GCAP-CASPER Physics DepartmentBaylor UniversityWaco 76798-7316USA Institute for Theoretical Physics&Cosmology Zhejiang University of TechnologyHangzhou 310023China United Center for Gravitational Wave Physics(UCGWP) Zhejiang University of TechnologyHangzhou 310023China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China Department of Physics School of Physical Science and TechnologyNingbo UniversityNingbo 315211China School of Aeronautics and Astronautics Shanghai Jiao Tong UniversityShanghai 200240China

In this paper,we study the quantum geometric effects near the locations where classical black hole horizons used to appear in Einstein's classical theory,within the framework of an improved dynamic approach,in which the internal region of a black hole is modeled by the Kantowski-Sachs(KS)spacetime and the two polymerization parameters are functions of the phase space *** detailed analysis shows that the effects are so strong that black and white hole horizons of the effective quantum theory do not exist at all and instead are replaced by transition surfaces,across which the metric coefficients and their inverses are smooth and remain finite,as are the corresponding curvatures,including the Kretschmann *** surfaces always separate trapped regions from anti-trapped *** number of such surfaces is infinite,so the corresponding KS spacetimes become geodesically complete,and no black and white hole-like structures exist in this scheme.

关键词： canonical quantization loop quantum gravity quantum aspects of black holes

Quantum Systems Connected by a Time-Dependent canonical Transformation

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Communications in Theoretical Physics 2009年第9期52卷 416-420页

作者： Kyu Hwang Yeon Jeong Ryeol Choi ZHANG Shou BK21 Physics Program and Department of Physics College of Natural Science Chungbuk National University Cheongju Chungbuk 361-763 Korea School of Electrical Engineering and Computer Science Kyungpook National University 1370 Sankyuk-dong Buk-gu Daegu 702-701 Korea Center for the Condensed-Matter Science and Technology Harbin Institute of Technology Harbin 150001 China Department of Physics College of Science Yanbinn University Yanji 133002 China

We study both classical and quantum relation between two Hamiltonian systems which are mutually connected by time-dependent canonical transformation. One is ordinary conservative system and the other is timedependent Hamiltonian system. The quantum unitary operator relevant to classical canonical transformation between the two systems are obtained through rigorous evaluation. With the aid of the unitary operator, we have derived quantum states of the time-dependent Hamiltonian system through transforming the quantum states of the conservative system. The invariant operators of the two systems are presented and the relation between them are addressed. We showed that there exist numerous Hamiltonians, which gives the same classical equation of motion. Though it is impossible to distinguish the systems described by these Hamiltonians within the realm of classical mechanics, they can be distinguishable quantum mechanically.

关键词： canonical transformation innumerable kind of Hamiltonians canonical quantization invariant operator unitary transformation

Let Loop Quantum Gravity and Affine Quantum Gravity Examine Each Other

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Journal of High Energy Physics, Gravitation and Cosmology 2021年第3期7卷 1027-1036页

作者： John R. Klauder Department of Physics and Department of Mathematics University of Florida Gainesville USA

Loop Quantum Gravity is widely developed using canonical quantization in an effort to find the correct quantization for gravity. Affine quantization, which is like canonical quantization augmented and bounded in one orientation, e.g., a strictly positive coordinate. We open discussion using canonical and affine quantizations for two simple problems so each procedure can be understood. That analysis opens a modest treatment of quantum gravity gleaned from some typical features that exhibit the profound differences between aspects of seeking the quantum treatment of Einstein’s gravity.

关键词： canonical quantization Affine quantization Physically Correct quantizations Strictly Positive Metrics

Solving Major Problems Using Vector Affine quantization

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第1期8卷 178-183页

作者： John R. Klauder Department of Physics and Department of Mathematics University of Florida Gainesville USA

Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with special problems. Vector affine quantization introduces multiple degrees of freedom which find that working t... 详细信息

关键词： Affine quantization Vector Field Models canonical quantization

On the Quantum Mechanical Treatment of the Bateman-Morse-Feshbach Damped Oscillator with Variable Mass

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Journal of Modern Physics 2016年第16期7卷 2329-2340页

作者： Akira Suzuki Hiroki Majima Department of Physics Faculty of Science Tokyo University of Science Tokyo Japan Department of Physics General Education Division Salesian Polytechnic Tokyo Japan

The harmonic oscillator with time-dependent (indefinite and variable) mass subject to the force proportional to velocity is studied by extending Bateman’s dual Lagrangian and Hamiltonian formalism. To study the quantum analog of such a dissipative system, the Batemann-Morse-Feshback classical Hamiltonian of the damped harmonic oscillator with varying (time-dependent) mass is canonically quantized. In order to discuss the stability of the quantum dissipative system due to the influence of varying mass and the dissipative force, we derived a formula for the vacuum state of the dissipative system with the help of quantum field theoretical framework. It is shown that the formula based on this simple model could be used to study the influence of dissipation such as the instability due to the dissipative force and/or the variable mass. It is understood that the change in the oscillator mass corresponds to a control parameter in quantum dissipative systems.

关键词： canonical quantization Dissipative System Dumped Harmonic Oscillator Variable Mass Control Parameter

A New Proposal for Black Holes

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Journal of High Energy Physics, Gravitation and Cosmology 2023年第1期9卷 55-59页

作者： John R. Klauder Department of Physics and Department of Mathematics University of Florida Gainesville FL USA

The understanding of what a black hole is like is not easy and may not yet be well understood. The introduction of canonical quantization into the issue has not been significant to our understanding. However, introducing affine quantization, a new procedure, offers a very unusual expression that seems to be plausible, and quite profound as well.

关键词： Black Holes canonical quantization Affine quantization

Evidence for Expanding Quantum Field Theory

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Journal of High Energy Physics, Gravitation and Cosmology 2021年第3期7卷 1157-1160页

作者： John R. Klauder Department of Physics and Department of Mathematics University of Florida Gainesville USA

Present day Quantum Field Theory (QFT) is founded on canonical quantization, which has served quite well but also has led to several issues. The free field describing a free particle (with no interaction term) can suddenly become nonrenormalizable the instant a suitable interaction term appears. For example, using canonical quantization , has been deemed a “free” theory with no difference from a truly free field [1] [2]. Using the same model, affine quantization has led to a truly interacting theory [3]. This fact alone asserts that canonical and affine tools of quantization deserve to be open to their procedures together as a significant enlargement of QFT.

关键词： Quantum Field Theory canonical quantization Affine quantization