Scientific Research & Publications
PT Computing LLC is proud to support the preservation and accessibility of scientific research that contributes to the broader academic community. While our primary focus is cybersecurity, information technology, and engineering consulting, we recognize the importance of interdisciplinary collaboration and the advancement of scientific knowledge.
This page serves as a permanent reference for the published works of physicist Vladimir Trifonov, including ongoing collaborative research involving Philip V. Trifonov. PT Computing provides the technical infrastructure, website hosting, digital preservation, and cybersecurity support necessary to ensure these publications remain accessible to researchers, reviewers, and the scientific community.
Publications
A Linear Solution of the Four-Dimensionality Problem
Europhysics Letters, Volume 32, Issue 8 (1995), pp. 621–626
DOI: 10.1209/0295-5075/32/8/001
ResearchGate:
https://www.researchgate.net/publication/230997418
Natural Geometry of Nonzero Quaternions
International Journal of Theoretical Physics (2007)
DOI: 10.1007/s10773-006-9234-9
GR-Friendly Description of Quantum Systems
International Journal of Theoretical Physics (2008)
Hyper-Hamiltonian Quantum Mechanics
arXiv Preprint
Geometric Modification of Quantum Mechanics
Book Chapter
Focus on Quantum Mechanics (Nova Publishers, 2011)
Geometric Amplitude Formulation of Measurement in Hyperhamiltonian Quantum Mechanics
SSRN Preprint (2026)
On Geometric Origin of Dark Matter, Dark Energy, and the Fine-Structure Constant
Vladimir Trifonov & Philip V. Trifonov
Research Square Preprint
About the Authors
Vladimir Trifonov, B.S. Mathematical Physics, is an theoretical physicist whose research focuses on the geometric foundations of modern physics, quantum mechanics, quaternionic mathematics, and the mathematical structure of spacetime. Over the course of more than three decades, his work has explored alternative geometric formulations of quantum theory and their relationship to general relativity, with the goal of developing mathematically consistent frameworks that address fundamental questions in theoretical physics.
His research has been published in internationally recognized peer-reviewed journals, including Europhysics Letters and the International Journal of Theoretical Physics, as well as in scholarly book chapters and preprint repositories. His publications investigate topics such as quaternion geometry, hyper-Hamiltonian quantum mechanics, measurement theory, and the geometric origins of physical constants and cosmological phenomena.
Vladimir continues to pursue research and collaborates with Philip V. Trifonov on ongoing investigations into the geometric foundations of physics. Their current work explores potential geometric explanations for dark matter, dark energy, and the fine-structure constant.
Philip V. Trifonov, A.S. Electrical Engineering, CISSP, CEH, GIAC-GCIH, AWS-CCP is the founder and Principal Consultant of PT Computing LLC, bringing over 20 years of experience in information technology, cybersecurity, and engineering. His professional expertise includes enterprise cybersecurity, cloud technologies, systems engineering, software development, automation, and technical research support.
As co-author of “On Geometric Origin of Dark Matter, Dark Energy, and the Fine-Structure Constant,” Philip contributed technical expertise that supported the research and publication process. His work included software development, computational analysis, responsible application of artificial intelligence tools, technical editing, and the design and maintenance of the technology infrastructure used to facilitate collaboration, document preparation, and long-term digital preservation of the research.
While his primary professional focus remains cybersecurity and information technology consulting, Philip is proud to support interdisciplinary scientific research by applying modern computing technologies to advance academic collaboration and scholarly publication.