Scientific Article Series:
Infinite-Dimensional Real-Extended Spacetime: Unified Scientific Foundations and Philosophical Perspectives on Freedom
Ferenc Lengyel
June, 2025
Abstract
This dissertation develops a comprehensive framework for understanding both the mathematical structure and the philosophical implications of a spacetime endowed with infinitely many real-extended spatial and temporal dimensions. In the first half, we lay out the natural‐scientific foundations: after introducing a unified number system (surreal, exploded, compressed, supernatural) and the requisite topological and algebraic machinery, we construct infinite-dimensional real-extended spatial manifolds (via recursive Rubik’s-cube thought experiments and Hilbert-space generalizations) and extend these ideas to time—reviewing three-dimensional and infinitely many-dimensional temporal metrics, their causal signatures, and consistency conditions. We then integrate a unified quantum interpretation that synthesizes the holographic principle with the many-worlds multiverse, showing how spatial and temporal infinite extensions co-encode information. This framework is further enriched by the InformoBroneological model of emergent space-time, Hofstadter’s strange loops, and Hawking’s imaginary time, culminating in a geometric account of consciousness as a universal “sense organ” and an analysis of quantum immortality across branching temporal geometries.In the second half, we turn to the central philosophical problem: what does freedom (autonomy, moral agency) mean in a hypercomplex spacetime with infinitely many realextended dimensions? We critically examine classical and contemporary theories of free will, formalize agency within infinite-dimensional decision geometries, and explore the ethical and metaphysical consequences of branching causal nets. Finally, we propose a reconceptualization of autonomy—grounded in the structure of real-extended temporal axes and holographic-multiverse information flows—and outline open questions for future interdisciplinary research.
Scientific Article: http://dx.doi.org/10.13140/RG.2.2.23101.37603
Beyond the Horizon: Infinitely Many-Dimensional Space and the Foundations of Reality
Ferenc Lengyel
January, 2025
Abstract
This book explores the profound implications of conceptualizing infinitely many-dimensional spaces with real spatial extension, presenting a bold reinterpretation of foundational physics. By challenging traditional notions of spacetime, singularities, and dimensionality, this work connects higher-dimensional thought experiments to key unsolved problems in physics, such as the information paradox, quantum gravity, and pre-Big Bang cosmology. Using a unique combination of visual analogies, cutting-edge simulations, and mathematical models, the book proposes new pathways for reconciling quantum mechanics with general relativity, solving singularities, and expanding human understanding of the universe. Designed for both experts and curious readers, it offers scientific depth alongside accessible explanations and tools for further exploration.
Scientific Article: http://dx.doi.org/10.13140/RG.2.2.18083.16162
A Unified Mathematical Framework for Quantum Mechanics: Integrating the Holographic Principle, Many-Worlds Interpretation, and Advanced Number Systems
(Ferenc Lengyel)
(August, 2024)
Abstract:
This book explores the intersection of two of the most profound and challenging ideas in modern theoretical physics: the holographic principle and the many-worlds interpretation of quantum mechanics. By incorporating a new and advanced unified number system—encompassing supernatural, surreal, exploded, and compressed numbers—this work aims to develop a coherent mathematical framework capable of addressing the complexities inherent in these quantum theories. The book is structured to guide the reader through the fundamental concepts of each theory, the mathematical challenges they present, and the potential solutions offered by the unified number system. It will delve into detailed mathematical formulations, computational models, and applications, providing both theoretical and practical insights. This comprehensive approach not only aims to unify these quantum interpretations but also sets the stage for future advancements in theoretical physics, mathematics, and computational science.
Scientific Article: http://dx.doi.org/10.13140/RG.2.2.33921.67681
Unified Number Systems: Integrating Surreal, Exploded, Compressed, and Supernatural Numbers
(Ferenc Lengyel)
(July, 2024)
Abstract:
This book explores the development of a novel number system that synthesizes the properties of surreal numbers, exploded numbers, compressed numbers, and supernatural numbers. The integration of these diverse number systems aims to provide a robust framework for solving complex algebraic and geometric problems. The text delves into theoretical foundations, arithmetic operations, algebraic structures, and applications, complemented by extensive formulas and programming examples. By leveraging the unique characteristics of each constituent number system, this comprehensive approach facilitates advanced mathematical modeling and problemsolving.
Scientific Article: http://dx.doi.org/10.13140/RG.2.2.23855.34727
Nincsenek megjegyzések:
Megjegyzés küldése