Welcome to my personal webpage.
My name is Anton A. Lipovka. I am a Full Professor of Theoretical Physics and Astrophysics at the Department of Physics Research, University of Sonora (Mexico), where I have worked since 1999.
My teaching activities include Classical Mechanics, Spectroscopy, General Relativity, Differential Geometry, Mathematical Methods of Theoretical Physics, Quantum Optics, and Quantum Field Theory.
Since 1990, my research has focused on molecular spectroscopy, cosmology, astrophysics, the formation of primordial structures in the Universe, cosmic microwave background distortions, and the foundations of theoretical physics.
Research Program
My current research is motivated by three fundamental questions:
- What is the physical origin of quantization?
- Why does Planck’s constant have its observed value?
- What is the geometric structure of space-time?
Over the years, these questions have led to several interconnected lines of research in astrophysics, cosmology, and the foundations of quantum physics.
Selected Research Results
Molecular Astrophysics and the First Stars
In 2005, together with my collaborators, I developed an improved cooling function for the HD molecule, an important ingredient in the formation of the first stars in the Universe. The results were published in the paper:
The Cooling Function of HD Molecule Revisited
[Journal link] | [arXiv]
Foundations of Quantum Physics
A major part of my research has been devoted to understanding the physical origin of quantization and the role of Planck’s constant.
In a series of papers, it was shown that Planck’s constant can be interpreted as an adiabatic invariant of a transverse electromagnetic field propagating in an evolving space-time geometry. Within this framework, the value of Planck’s constant can be related to observable cosmological characteristics describing the local evolution of the metric.
Subsequent work investigated the geometric and electromagnetic foundations of quantum phenomena, including the nature of the quantum potential and the role of adiabatic geometric evolution in the emergence of quantization.
These studies culminated in the development of a generalized electrodynamic framework on an adiabatically evolving manifold. Within this approach, several standard equations of quantum physics were derived from a common geometric and electrodynamic framework rather than introduced independently as axioms.
Selected publications:
- Planck Constant as an Adiabatic Invariant [Journal links] | [arXiv] | [HAL]
- Nature of the Quantum Potential [Journal links] | [arXiv] | [HAL]
- Physics on an Adiabatically Changed Finslerian Manifold and Cosmology [Journal links] | [arXiv] | [HAL]
- Variation of the fine-structure constant caused by expansion of the Universe [Journal links] | [arXiv] | [HAL]
- Derivation of Quantum Equations from First Principles [Journal links] | [Preprint] | [HAL]
Galactic Dynamics and Dark Matter
Another direction of my research concerns the dynamics of galactic disks.
A kinetic gas transport framework was developed for describing the dynamics of extremely rarefied gas in galactic disks. The resulting model reproduces observed galactic rotation curves without introducing dark matter as an additional component.
The corresponding results were published in:
Gas Kinetics of Galactic Disk Explains Rotation Curves of S-Type Galaxies without a Need for Dark Matter
[Journal link] | [Preprint]
More recently, the kinetic approach was extended to the analysis of the fine structure of galactic rotation curves. It was shown that local morphological features and asymmetries observed in high-resolution rotation curves arise naturally within the kinetic gas transport framework and are directly related to local variations of gas transport processes in galactic disks.
These results provide an independent observational test of the kinetic description. Rather than considering only the global shape of rotation curves, the analysis addresses their detailed local structure, demonstrating that kinetic effects dominate the dynamics of the outer regions of galactic disks and account for features that are difficult to reconcile within traditional dark matter interpretations.
The results were presented in:
Local Morphology and Asymmetry of Galactic Rotation Curves in a Kinetic Gas Transport Framework
[ResearchGate] | [HAL] | [Preprint]
Current Interests
My current work focuses on the geometric foundations of quantum physics, the origin of fundamental constants, non-Riemannian space-time geometry, galactic dynamics, and the relationship between cosmological evolution and quantum phenomena.
Publications
A complete list of publications can be found on:
The obtained results are schematically marked in red in the diagram below.
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Reflections on Modern Physics 