The essence of our universe, especially the structure of time and space, is a fascinating problem for its complex characteristics from the law of physical or purely human thought. It has exercised philosophers from ancient times, but recently studied this interesting issue with mathematics and explored the mathematical foundation describing our reality. By checking the application of differential geometric shapes to physical time and space, this study challenged traditional views, that is, these mathematical tools are inherent in the universe or made by mathematicians.
Dr. Rathindra Nath Sen, Ben-Gurion University of Negev at Ben-GURION University of Beer SHEVA, investigated the basic assumptions of modern physics. It originated from a mathematical structure. This work was published in the magazine of “Entropy”, in -depth long -term debates about the nature of mathematics and its nature in the physical world.
The survey began with the criticism of the comparative views of mathematics. Wigner’s famous assertion about “the unreasonable effectiveness of mathematics in natural science” is in stark contrast to the Cantor. Essence Although the power construction of Cantor is critical in the collection theory, Dr. Sen believes that it is not directly applicable to physics because it destroys the basic concepts of communities in time and space.
The concept of relativity causality is essential for this work. Based on the late H.-J. Early work, Borches, the University of Gotai, who uses causality to explore whether the differential structure of time and space can be followed by physical principles. He pointed out that Einstein causality can be defined on a set of unlimited points without a predefined mathematical structure. This gives the Tychonoff topology structure that gives this scene. After some mathematical gymnastics, it embeds them into the closed sub -space of the real production line RRRRRRJ Essence Dr. Mori emphasized: “This indicates that the distinction structure of R can be distinguishedJ It may be derived from the principle of causality, “although he acknowledged that the completion process required for the transition was not accessible.
During his entire work, Dr. Mori re -examined the historical milestone in the concentration of mathematics and physics. He discussed how Zeeman proves how the cause and effect means the Lorentz group, indicating that certain mathematical structures may originate from the laws of physics, not human invention. Found multiple structured structures on R on RJ Donaldson and GOMPF further make the picture complicated, which indicates that the mathematical framework used in physics may not be unique or completely experienced.
Dr. Mori’s research finally proposed a profound problem about the nature of mathematical structure in physics theory. He believes that the foundation of traditional geometric separation and the power of the power of Cantor is physically meaningless. Instead, he suggested that mathematics related to physics must maintain the internal connection with the community because it reflects the experience of time and space.
All in all, although Dr. Mori’s research did not clearly explicitly answers the differences in time and space whether the structure of time and space discovered or invent, it would greatly promote this word. He suggested that “continuous assumptions and other settings of theoretical structure may not be necessary for the mathematical expression of the law of physical law,” urging re -consider how mathematics and physics intersect. As the research in quantum gravity and other boundaries continues, the insights of this research may provide information for future exploration of time and space exploration.
Journal reference
Sen, Rathindra Nath. “Is the difference between the difference in time and space coming from the physical principle?” Entropy 26, no. 3 (2024): 179. Doi: https: //doi.org/10.3390/e26030179
About the author
Rathindra Nath Sen Born in Kolkata (now Kolkata Answer), studying Colvin Taluqdars School at Lecinin and St. Stephen College in Delhi. He received his doctorate in Dr. Giulio Racah, the late Hebrew University of Jerusalem. He then spent four years in Naples, stayed in Milwaukee for two years, and has lived in Israel since then. Since 1975, he has been taking office in Negev’s Ben-Gurion University, and he retired in 2001. His scientific works include the use of fiber bundles to formulate the theory of symmetry of infinite quantum mechanics system; study the mathematical significance of Einstein Well causality (with H.-J. Borchers), and recently expand the work of GL Sewell to the work to Fully solve the problem of measurement problems in quantum mechanics.
