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Springer eBooks

Physics, Metaphysics and Mathematics

Dennis Dieks

Published Jan 1, 2014• 0 citations
Publisher
DOI
10.1007/978-3-319-04382-1_41

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Dualism is a metaphysical, philosophical concept which refers to two irreducible, heterogeneous principles. This idea is known to appear in a lot of places in the universe, however a rigorous mathematical definition and is not yet established in a formal way. In this paper, we develop a novel to represent philosophical dualism in a formal mathematical construction with the context of quantum physics, known as the theory of duality. We will use traditional Chinese philosophical concepts in duality as the foundation as it greatly resembles to the mathematical and physical construction for our purpose. This paper will demonstrate how to convolve metaphysical idea into mathematics and physics.
This paper demonstrates that the core metaphysical structure of early Buddhist philosophy—dependent origination (pratītyasamutpāda)—can be derived as a natural consequence of Unified Relational Projection Dynamics (URPD).In this framework, the universe is not composed of substances but of relational frames in projective Hilbert space.We show that the Buddhist concepts of emptiness (śūnyatā), impermanence (anicca), and non-self (anattā) correspond respectively to URPD’s absence of intrinsic states, entropic frame transitions, and relationally-defined physical properties.This provides the first mathematically consistent bridge between ancient contemplative insight and modern theoretical physics, suggesting that dependent origination is an informational-geometric property of the universe.
Quantum mechanics presents a reality that defies classical intuitions, with the universal wavefunction offering one of the most profound perspectives in modern physics. This paper delves into the mathematical structure of the universal wavefunction, its role in the Many-Worlds Interpretation, and the metaphysical implications for determinism, reality, and consciousness. By blending rigorous mathematical formalism with philosophical exploration, we investigate the conceptual and mathematical underpinnings of quantum reality and its relevance to the nature of existence. Recognizing the speculative nature of certain topics, we clearly distinguish established science from conjectural ideas. Additionally, we provide a critical analysis of various interpretations of quantum mechanics, compare their strengths and weaknesses, and discuss potential experimental tests and observable consequences of the universal wavefunction theory. This work also addresses challenges, such as the derivation of the Born rule and the interpretation of probability in the multiverse.