Recent Advances in Mathematical Physics with Applications in Quantum Theory
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 July 2025 | Viewed by 91
Special Issue Editors
Interests: string theory; string cosmology; black holes
Special Issues, Collections and Topics in MDPI journals
Interests: topology transformation on mater; string theory and general relativity; black hole thermodynamics; p-adic amplitudes in string theory; vacuum transitions in the early universe
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The development of quantum physics throughout the twentieth century was one of the most important advances in human history, not only in technological innovation but also in our understanding of reality. We now know that quantum fields are the fundamental entities that fill the entire universe, responsible for all interactions observed in high-energy experiments. Furthermore, quantum theory contains intriguing phenomena that challenge our comprehension of how nature operates at high energy levels. The most counterintuitive implications of quantum theory have become the frontier in many contemporary lines of research. The areas where quantum physics plays a fundamental role are now broad and diverse. These include quantum entanglement, understanding entanglement in the presence of gravity and black holes, the study of algebraic and topological quantum field theory, the proposal of zero-class cobordisms in quantum gravity, and the ongoing effort to classify discrete and continuous symmetries as well as the existence of generalized and non-invertible symmetries in models beyond the standard model, such as string theory. Mathematical models are fundamental tools in all these endeavors, allowing us to construct consistent theories. The mathematics employed in physics has also evolved over recent decades to align with the latest physical theories. As a result, it is now common to advanced mathematical structures such as are bundles, groupoids, generalized cohomology and algebraic topology methods. Our understanding of quantum theories has grown hand-in-hand with the adoption of more elegant and structural mathematical frameworks.
The main purpose of this Special Issue of Axioms is to gather recent findings in mathematical physics with applications to quantum theory, including any of the aforementioned topics. We cordially invite you to present your recent contributions to this Special Issue.
Prof. Dr. Oscar Gerardo Loaiza-Brito
Prof. Dr. Hugo García-Compean
Guest Editors
Manuscript Submission Information
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Keywords
- quantum theories
- quantum field theory (QFT)
- topological quantum field theory (TQFT)
- quantum gravity
- entanglement
- quantum information
- string theory
- generalized symmetries
- non-invertible symmetries
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