Mathematical Physics

   

Through the Wormhole on Spacetime Surface: Early History and Main Concepts of Topological Geometrodynamics Theory (TGD)

Authors: Marko T. Manninen

The relationship between geometry and physics is one of the most fruitful and fascinating topics in the history of science. From ancient Mediterranean civilizations to the modern era, geometry has served as a source of insight for metaphysical contemplation and the discovery of natural phenomena. In this essay, I will explore some of the major developments in geometry and physics, with a special focus on the work of Dr. Matti Pitkänen, the founder of Topological Geometrodynamics (TGD). This novel theory employs mathematical concepts to unify quantum mechanics and general relativity with the Standard Model of particle physics. In the first section, I will review historical milestones in geometry and physics relevant to the key issues in TGD theory. These epochs have led us to relativity, quantum mechanics, the Standard Model, string models, and various unification attempts. I will also introduce the concept of topology, which is the study of continuous deformations. Topology plays a vital role in many areas of physics and mathematics, as well as in TGD. In the central section, I will present an interview with Dr. Pitkänen, in which he shares his personal and professional journey in developing TGD. He explains how he, a) was initially motivated by the global energy definition problem in general relativity, b) was influenced by John Wheeler's ideas on geometrodynamics, c) discovered a higher-dimensional embedding hyperspace suitable for unifying the Standard Model, quantum mechanics, and relativity, d) faced challenges in achieving path integrals for the required 4-D general coordinate invariance, e) incorporated twistors into his theory, f) introduced the notions of the World of Classical Worlds and Zero Energy Ontology to address problems related to quantum TGD and time, and g) found a dual aspect for the geometrization of physics from number theory, p-adic physics, and Adelic physics, which also forms a theory of cognition and consciousness within the same framework. This segment particularly emphasizes explaining the fundamentals of general relativity and its conservation laws with related symmetries, underscoring their relevance to the inception of TGD, which was sparked by questions within this domain. Noether's theorems play a central role in this excursion. In the last section, I will provide additional information on TGD, such as its main publications, websites, blogs, videos, podcasts, and other resources. I have also given a section about the research methodology I am pursuing (Truncated by viXra Admin to < 400 words).

Comments: 152 Pages.

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[v1] 2024-05-20 20:41:02

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