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Unified Cosmic Mechanics Evolution Theory (XX) Momentum Topological Coding_ Derivation of Particle State Evolution Equations

bo xiao

Published Apr 18, 2026• 0 citations
Publisher

Abstract

For a long time, classical mechanics, relativity, and quantum mechanics have been self-consistent within their respective fields, but their underlying logic remains ununified. This has led to the reality paradox of micro-particles "being in different spacetimes simultaneously" and unclear applicability boundaries among the three theories. Based on the Unified Cosmic Mechanics Evolution Theory, this paper concludes that the universe is a relational state evolution system, and the only physical reality is the momentum unit (m₀c), including the mass carrier m₀, the driving rate c, and vector superposition ability, with interaction strength determined by the perceptual cross-section. All particles are encapsulated by momentum units: fermions in a spherically symmetric vector superposition state, photons in a co-directional evolution state. Quantum entanglement is stable cooperative evolution between multi-layer encapsulations. The field is a set of rules constraining encapsulation, perception, and interaction. Particles can present three states: collapsed, diffused, and fluid. Thus, the probabilistic wave evolution of particles is not a mathematical fiction, but a deterministic dynamic process jointly determined by internal momentum flow and external causal interaction. The prediction of wave behavior is essentially the unified description of total momentum flow, internal self-constraint, and external causal interaction, consistent with the research direction of realist quantum mechanics.

DOI
10.5281/zenodo.19639493

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For a long time, classical mechanics, relativity, and quantum mechanics have been self-consistent within their respective fields, but their underlying logic remains ununified. This has led to the reality paradox of micro-particles "being in different spacetimes simultaneously" and unclear applicability boundaries among the three theories. Based on the Unified Cosmic Mechanics Evolution Theory, this paper concludes that the universe is a relational state evolution system, and the only physical reality is the momentum unit (m₀c), including the mass carrier m₀, the driving rate c, and vector superposition ability, with interaction strength determined by the perceptual cross-section. All particles are encapsulated by momentum units: fermions in a spherically symmetric vector superposition state, photons in a co-directional evolution state. Quantum entanglement is stable cooperative evolution between multi-layer encapsulations. The field is a set of rules constraining encapsulation, perception, and interaction. Particles can present three states: collapsed, diffused, and fluid. Thus, the probabilistic wave evolution of particles is not a mathematical fiction, but a deterministic dynamic process jointly determined by internal momentum flow and external causal interaction. The prediction of wave behavior is essentially the unified description of total momentum flow, internal self-constraint, and external causal interaction, consistent with the research direction of realist quantum mechanics.
Traditional quantum field theory, which regards fields as spacetime-pervading physical entities and particles as their excitations, faces three dilemmas: lower organizational efficiency than the "1/4πr² perceptual cross-section" collinear interaction, inability to explain force characteristics (e.g., vector superposition, action-at-a-distance) conflicting with quantum entanglement, and unclear field dynamic origin and coupling constant source. It also has redundant driving forces, using force, energy, momentum, etc., alternately, violating logical consistency and reflecting ununified underlying dynamic principles. Based on the information dynamics evolution theory framework, this paper holds that particles and their internal structures are the only physical entities, fields are evolution rule sets, and the universe is a relational state evolution system consisting of m₀, c, and R. Core conclusions: (1) Momentum units are the only underlying resources, c is the only dynamic driving force, with energy = momentum = force = m·c in eigenstate; (2)Particles form via multi-momentum unit cooperative encapsulation; (3) Fields are constraint rule sets, and the four fundamental forces are particle interaction protocols; (4) Quantum uncertainty is a macroscopic observation aliasing effect, with underlying strict causal determinism. This paper establishes core mechanisms such as momentum topological coding, reveals the underlying coding logic of basic physical quantities, and provides a complete framework for unifying quantum mechanics and relativity and reconstructing deterministic quantum theory.
The traditional path integral formulation of quantum mechanics relies on complex probability amplitudes and the principle of least action, which has conceptual ambiguities in interpreting microphysical mechanisms — serving merely as effective mathematical statistical tools. Based on the Unified Cosmic Mechanics Evolution Theory — where the momentum unit (m₀·c) is the only physical reality, the field is an interaction protocol, and the particle is a momentum encapsulation structure — this paper reconstructs the mathematical description of multi-slit experiments. The new formulation replaces the complex path integral with a dual-integral system: the self-integral describes momentum unit self-evolution along their intrinsic direction, endowing linear motion; the interaction integral describes momentum flow interaction with the slit wall's electromagnetic field, realizing multi-path distribution and direction deflection. These two integrals together constitute the momentum flow distribution integral, interpreting "interference" as the superposition of real momentum flows dominated by the interaction integral. Key insight: Just as a stone falling from a height depends on the perceptual cross-section 1/(4πr²) for its integral result, all forces should be similarly understood — their underlying dynamics must be reduced to the perceptual cross-section mechanism. The interaction integral follows this logic: the relativistic mass-energy equation is a space-time state shaping equation, where the emergent space-time integral reflects Pythagorean conservation (Lorentz covariance); general relativistic integrals involve variable space-time redundancy under field strength; special relativistic integrals arise from perceptual space-time window compression during motion. For micro-particles in multi-slits, this paper primarily adopts the interaction integral mechanisms of special relativity, electromagnetism, and photoelectricity. This framework remains consistent with existing experimental phenomena and proposes testable predictions including slit thickness-dependent deflection and multi-slit interference fringe modulation.
Traditional quantum mechanics interprets quantum entanglement as non-local statistical correlation, but fails to answer the underlying physical mechanism of entanglement: what "maintains" the correlation between entangled particles? Why can this correlation transcend spatial distance? Based on the framework of the Unified Cosmic Mechanics Evolution Theory, this paper proposes that the essence of quantum entanglement is an inline perception protocol that maintains the coordinated evolution of multiple momentum units. The core conclusions include: (1) The core role of quantum entanglement is to support the conservation of carrier angular momentum, which is the fundamental premise for particles to realize spin and macroscopic rotation — a single momentum unit cannot rotate, and "rotatability" is an emergent property of the entanglement protocol. (2) A single elementary particle has three coordinated evolution forms (collapsed, diffused, fluid), and the state transition depends on the internal structure and coordinated evolution ability endowed by the quantum entanglement protocol. (3) The multi-particle entangled state can be regarded as "single-particle coordinated evolution" at the macroscopic level, which originates from the multi-layer encapsulation characteristics of momentum units m₀·c. (4) The core mechanism for quantum entanglement to realize superluminal action is perceptual angle interlocking — establishing a logical correlation independent of geometric distance through an inline protocol, rather than trans-spatial propagation. (5) Both instantaneous force interaction and quantum tunneling can be reconstructed as local potential space momentum borrowing and returning state transition processes, without relying on propagator flight. This paper further argues that quantum entanglement, elementary force interaction, and quantum tunneling are not isolated phenomena, but three manifestations of the same set of momentum topological coding and potential space borrowing and returning mechanisms under different boundary conditions — entanglement is a static protocol maintaining structural stability, force is a dynamic state update after protocol triggering, and tunneling is a potential space topological transition guided by the protocol. This framework reduces quantum mechanics to a deterministic information dynamics evolution process based on protocol rules, providing a new ontological support for understanding the causality of the microcosm.
The incompatibility between quantum mechanics and relativity is not a lack of technical details, but a fundamental one—they are each built on distinct local invariants: quantum mechanics relies on gauge invariance, while relativity is based on Lorentz invariance. Starting from different mountain feet, they naturally cannot converge at the summit. What physicists are truly seeking is a global, absolute, and simple invariant—one that can govern all physical phenomena and serve as the common source of all physical laws. This paper proposes the Axiom of Cosmic Uniqueness: all events, physical states, particle configurations, and interaction relationships in the universe are strictly unique, and there are no two identical forms of existence. From the perspective of group theory, this axiom is the ultimate invariant that physicists have long pursued—because the attribute of "everything is unique" remains unchanged regardless of any transformation applied (temporal evolution, spatial translation, rotation, gauge transformation, etc.). Based on this single axiom, this paper argues that: · The essence of time is the sequential unfolding of unique states, and the unidirectionality of the arrow of time is a direct inference of uniqueness; · The essence of space is the topological structure of causal correlations between unique events; · Causality possesses absolute necessity, and the "randomness" in quantum mechanics is a cognitive limitation rather than physical reality; · Probability has no physical reality and is purely an instrumental approximation under cognitive limitations—because the definition of probability relies on "repeatable experiments", a premise negated by the Axiom of Cosmic Uniqueness; · The paradox of the origin of life is thus resolved: the origin of life has already occurred, and no probabilistic explanation is needed under the Axiom of Cosmic Uniqueness—the so-called "extremely low probability" is a pseudo-problem arising from the misapplication of the concept of probability to unique historical events. This axiom requires no presupposition of any physical laws, particle properties, or spacetime frameworks, and achieves self-consistency solely through ontological logic. It is a more fundamental global invariant than Lorentz invariance and gauge invariance, and can govern the core laws of classical physics, quantum mechanics, relativity, and cosmic evolution—for all of them are branches growing from this common source.
The incompatibility between quantum mechanics and relativity is not a lack of technical details, but a fundamental one—they are each built on distinct local invariants: quantum mechanics relies on gauge invariance, while relativity is based on Lorentz invariance. Starting from different mountain feet, they naturally cannot converge at the summit. What physicists are truly seeking is a global, absolute, and simple invariant—one that can govern all physical phenomena and serve as the common source of all physical laws.This paper proposes the Axiom of Cosmic Uniqueness: all events, physical states, particle configurations, and interaction relationships in the universe are strictly unique, and there are no two identical forms of existence. From the perspective of group theory, this axiom is the ultimate invariant that physicists have long pursued—because the attribute of "everything is unique" remains unchanged regardless of any transformation applied (temporal evolution, spatial translation, rotation, gauge transformation, etc.).Based on this single axiom, this paper argues that:· The essence of time is the sequential unfolding of unique states, and the unidirectionality of the arrow of time is a direct inference of uniqueness;· The essence of space is the topological structure of causal correlations between unique events;· Causality possesses absolute necessity, and the "randomness" in quantum mechanics is a cognitive limitation rather than physical reality;· Probability has no physical reality and is purely an instrumental approximation under cognitive limitations—because the definition of probability relies on "repeatable experiments", a premise negated by the Axiom of Cosmic Uniqueness;· The paradox of the origin of life is thus resolved: the origin of life has already occurred, and no probabilistic explanation is needed under the Axiom of Cosmic Uniqueness—the so-called "extremely low probability" is a pseudo-problem arising from the misapplication of the concept of probability to unique historical events.This axiom requires no presupposition of any physical laws, particle properties, or spacetime frameworks, and achieves self-consistency solely through ontological logic. It is a more fundamental global invariant than Lorentz invariance and gauge invariance, and can govern the core laws of classical physics, quantum mechanics, relativity, and cosmic evolution—for all of them are branches growing from this common source.
ABSTRACT Over the past century, modern physics has been bifurcated into the theory of relativity explaining the macro-world and quantum mechanics dealing with the micro-world. In doing so, it has forfeited mechanical causality, relying instead on mathematical probabilities and geometric optical illusions. This paper meticulously identifies the epistemological blind spots and voids of conventional physics and proposes 'Jung Sung-mo's Grand Unified Dynamics,' which penetrates all forces and motions of the universe with a single, overarching mechanical principle. First, this study establishes the 'Theory of Absolute Intrinsic Physical Metric Relativity,' which posits that every object in the universe independently possesses its own intrinsic unit time (T) and unit distance (L). By introducing the independent metrics (Tc, Lc) of a 'Third-party Omniscient Observer ( C)' into the formulation, we present an algebraic formula for deriving relative velocity, thereby completely and mechanically dismantling the inherent contradictions and the Twin Paradox of Einstein's Special Theory of Relativity. Second, the reality of quantum phenomena, previously dismissed as mere probability clouds, is explicitly elucidated through a novel three-step verification framework: [Theoretical Formulation → Algebraic Equation Derivation → 3D Parametric Simulation Verification]. Within the Dynamic Field formed by the intrinsic motion of particles within the Static Field lattice medium, the mechanical cumulative density of multi-dimensionally superimposed and rotating particles is mathematically formulated. In particular, it visually and dynamically demonstrates via a computer simulation (Appendix A) that the geometric configurations of s, p, d, f orbitals—long considered an enigma in quantum mechanics—are not mathematical probability functions, but rather the pure mechanical outcomes of a 'Teardrop Envelope Trajectory' designed for friction avoidance between particles and a 'Surface of Revolution Scanning' across multiple planes. Ultimately, this study declares a paradigm shift toward a grand unified physics that strips away Einstein's spacetime curvature and Schrödinger's probabilistic illusions, thereby fully restoring the authentic mechanical causality of the Field that bridges the macroscopic and microscopic realms of the universe. Keywords: Grand Unified Dynamics, Mechanical Causality, Absolute Intrinsic Metric Relativity, Particle Multi-Dimensional Trajectory Dynamics, Deterministic Trajectory, Orbital Kinematics, Parametric Simulation, Probability Cloud.