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The Theory of Duality

Bengy Tsz Tsun Wong

Published Jan 1, 2021• 0 citations
Publisher

Abstract

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.

DOI
10.13140/rg.2.2.10609.81768

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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.
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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.
Abstract Quantum physics represents one of the most significant intellectual achievements of modern science, reshaping humanity’s understanding of nature at its most fundamental level. It provides the conceptual and mathematical foundations for explaining atomic structure, radiation, and the behavior of particles, forces, and materials, while underpinning many contemporary technologies. Yet its development was marked by profound conceptual disruption. From its earliest formulations, quantum theory challenged classical assumptions about determinism, causality, and certainty, generating paradoxes and disagreements even among its founders. In exploring the universe, quantum physics focuses on the smallest constituents of matter such as quarks, electrons, and photons, revealing a domain that consistently defies everyday intuition. Within this realm, particles exhibit wave–particle duality, physical outcomes are described probabilistically, and measurement plays a constitutive role in determining observable reality. Although such phenomena may appear extraordinary, physicists have rendered them intelligible through rigorous theoretical frameworks and precise mathematical formalism. Within a scientific context, the “truth” of quantum mechanics does not imply metaphysical finality, but rather its exceptional capacity to describe, explain, and predict experimental results with remarkable accuracy. Importantly, this scientific account need not contradict spiritual or religious perspectives. Instead, by unveiling the coherence and complexity of the universe, quantum physics can complement scriptural narratives that emphasize meaning and purpose. This study investigates the scientific truth and narrates the story of universe on the basis of quantum physics and explores its influences on technological development and reshaping the civilization.
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In general, a physical theory is based on some fundamental principles concerning space, time, matter, and the laws prescribing how matter is distributed in space and how it evolves in time, and even how spacetime itself changes in response to the changes of matter. The spectrum of the known theories is very diverse, since they are based on different assumptions. Some theories assume that space and time are totally independent, some that they are warped in a continuum named "spacetime", and some even that there are more dimensions than the usual 3+1. Most theories consider that space and time are continuous, but many recent theories consider them to be discrete. Most dynamical laws of fundamental Physics are deterministic, but apparently Quantum Mechanics shows that they may have an indeterministic component. Despite these distinctions between various theories, our intuition and experience tells us that they have a lot in common. In this paper I will try to capture the common features in a single mathematical structure. This is not a Theory of Everything, but only a mathematical structure which is common to most physical theories known so far. We will see that these theories can be obtained as particular cases of this structure, which I will call "world". In particular, the worlds described by the Classical Mechanics, the Theory of Relativity and the Quantum Mechanics are examples of worlds according to this definition, but also some theories attempting to unify gravity and QM, like String Theory. The purpose of this distillation is to provide a mathematical common background to both physical and metaphysical discussions about the various theories of the World.