摘要:量子力学自诞生以来,其数学框架经受了一切实验检验,但物理图像始终缺乏直观的几何理解。本文不从外部引入新假设,而是从量子力学自身的数学结构中,揭示一个被长期忽视的几何本体——时间闭环。本文正式提出时序法则,将时间闭环的时序状态分为五种:闭环收缩为点时的时序完全重叠(双向时间平衡态,χ=0),闭环极小时的时序趋于重叠(相干态),闭环正常时的经典时序(退相干态),反向闭环的时序颠倒(解构态),以及闭环极大时的时序孤立(绝对零度)。两种极限免疫策略——时序趋于重叠下的极速内循环,以及时序孤立下的刚性基态——各自提供对外部时间干扰的保护。相干态是时序趋于重叠的直接表现;退相干是量子系统与宏观仪器耦合时,仪器的宏观引力场通过引力层级拖拽将量子粒子的时间闭环周长拉长,使其从时序趋于重叠回归至经典时序的结果。光速是时序趋于重叠的临界节律——光子无质量,其时序状态被锁定在完全重叠态的临界面上,趋于重叠而永不重叠,光速不变原理在此获得了几何根源。在这一总纲下,时间闭环的S¹几何为双缝干涉、量子隧穿、纠缠和延迟选择实验提供了统一的定量解释。全部论证未引入额外假设,时间闭环的几何根源是手征维度。 Abstract: Since its inception, the mathematical framework of quantum mechanics has withstood all experimental tests, yet its physical picture has persistently lacked an intuitive geometric understanding. Without introducing external assumptions, this paper reveals, from within the mathematical structure of quantum mechanics itself, a long-neglected geometric entity: the temporal loop. This paper formally proposes the Temporal Principle, which classifies the temporal states of the temporal loop into five types: complete temporal overlap when the loop contracts to a point (bidirectional time equilibrium, χ=0), temporal near-overlap when the loop is extremely small (coherent state), classical temporality when the loop is normal (decoherent state), temporal inversion when the loop is reverse (deconstructed state) , and temporal isolation when the loop is extremely large (absolute zero). Two limit immunity strategies—ultra-rapid internal cycling under temporal near-overlap, and rigid ground-state protection under temporal isolation—each provide protection against external temporal disturbances. Coherence is the direct manifestation of temporal near-overlap; decoherence occurs when a quantum system couples with a macroscopic apparatus, whose macroscopic gravitational field stretches the quantum particle's temporal loop circumference via gravitational hierarchy drag, causing it to return from temporal near-overlap to classical temporality. The speed of light is the critical rhythm of temporal near-overlap—photons, being massless, have their temporal state locked on the critical surface of the complete overlap state, near-overlapping yet never overlapping,The principle of the constancy of the speed of light finds its geometric origin here. Under this overarching principle, the S¹ geometry of the temporal loop provides a unified quantitative explanation for double-slit interference, quantum tunneling, entanglement, and delayed-choice experiments. The entire argument introduces no additional hypotheses; the geometric origin of the temporal loop is the chiral dimension.
摘要:量子力学自诞生以来,其数学框架经受了一切实验检验,但物理图像始终缺乏直观的几何理解。本文不从外部引入新假设,而是从量子力学自身的数学结构中,揭示一个被长期忽视的几何本体——时间闭环。本文正式提出时序法则,将时间闭环的时序状态分为五种:闭环收缩为点时的时序完全重叠(双向时间平衡态,χ=0),闭环极小时的时序趋于重叠(相干态),闭环正常时的经典时序(退相干态),反向闭环的时序颠倒(解构态),以及闭环极大时的时序孤立(绝对零度)。两种极限免疫策略——时序趋于重叠下的极速内循环,以及时序孤立下的刚性基态——各自提供对外部时间干扰的保护。相干态是时序趋于重叠的直接表现;退相干是量子系统与宏观仪器耦合时,仪器的宏观引力场通过引力层级拖拽将量子粒子的时间闭环周长拉长,使其从时序趋于重叠回归至经典时序的结果。光速是时序趋于重叠的临界节律——光子无质量,其时序状态被锁定在完全重叠态的临界面上,趋于重叠而永不重叠,光速不变原理在此获得了几何根源。在这一总纲下,时间闭环的S¹几何为双缝干涉、量子隧穿、纠缠和延迟选择实验提供了统一的定量解释。全部论证未引入额外假设,时间闭环的几何根源是手征维度。 Abstract: Since its inception, the mathematical framework of quantum mechanics has withstood all experimental tests, yet its physical picture has persistently lacked an intuitive geometric understanding. Without introducing external assumptions, this paper reveals, from within the mathematical structure of quantum mechanics itself, a long-neglected geometric entity: the temporal loop. This paper formally proposes the Temporal Principle, which classifies the temporal states of the temporal loop into five types: complete temporal overlap when the loop contracts to a point (bidirectional time equilibrium, χ=0), temporal near-overlap when the loop is extremely small (coherent state), classical temporality when the loop is normal (decoherent state), temporal inversion when the loop is reverse (deconstructed state) , and temporal isolation when the loop is extremely large (absolute zero). Two limit immunity strategies—ultra-rapid internal cycling under temporal near-overlap, and rigid ground-state protection under temporal isolation—each provide protection against external temporal disturbances. Coherence is the direct manifestation of temporal near-overlap; decoherence occurs when a quantum system couples with a macroscopic apparatus, whose macroscopic gravitational field stretches the quantum particle's temporal loop circumference via gravitational hierarchy drag, causing it to return from temporal near-overlap to classical temporality. The speed of light is the critical rhythm of temporal near-overlap—photons, being massless, have their temporal state locked on the critical surface of the complete overlap state, near-overlapping yet never overlapping,The principle of the constancy of the speed of light finds its geometric origin here. Under this overarching principle, the S¹ geometry of the temporal loop provides a unified quantitative explanation for double-slit interference, quantum tunneling, entanglement, and delayed-choice experiments. The entire argument introduces no additional hypotheses; the geometric origin of the temporal loop is the chiral dimension.
Under the core paradigm of "physics is geometry" in Zhang Xiangqian's Unified Field Theory (UFT), this paper systematically completes the full geometric reconstruction from non-relativistic quantum mechanics, open quantum systems, quantum information theory to quantum control and error correction.All derivations logically originate from three core postulates—spacetime light-speed cylindrical spiral motion, the light-speed constraint equation, and the geometrization postulate—thoroughly reducing the entire mathematical structure of quantum mechanics to the geometric properties of spacetime vibration modes. Key achievements include: 1) Interpreting state vectors, superposition principle, coherence, density matrix, and decoherence as inevitable manifestations of spatiotemporal vibration modes, amplitude-coherent superposition, geometric phase locking, vibrational ensemble statistics, and geometric phase dispersion, respectively. Deriving the decoherence rate , where represents the geometric phase coupling strength; 2) Established geometric interpretations for trace, purity, norm coherence, and relative entropy coherence, directly relating them to the total number of vibrational units, coherence strength, and non-diagonal long-range phase correlations, while providing the geometric origin of typical two-level system Hamiltonians; 3) Rigorously derives the Liouville–von Neumann equation, Lindblad principal equation, and Bloch equation from UFT geometric dynamics, expressing relaxation rates and decoherence times as functions of the fluctuation spectral density of environmental geometric parameters; 4) Unifies the interpretation of light-matter interactions, superconducting macroscopic coherence, and spin dynamics as outcomes of spacetime flexural fields, phase-locked collective modes, and geometric coupling, deriving UFT geometric formulations for the Jaynes–Cummings model, London equation, Josephson relations, and NMR Bloch equations; 5) Reveals the geometric essence of spin echo and CPMG sequences—temporal inversion of geometric phase and frequency-domain windowing—providing the frequency-domain convolution relationship between decoherence factors and environmental spectra; 6) Interpreted the logical subspace of stabilizer codes as a geometric constrained subspace of vibrational modes, revealing the error correction process as a three-step operation of geometric projection, geometric classification, and geometric relocking, and provided the geometric meaning of the fault tolerance threshold . 7) Finally, the theory is extended to the active regulation and long-range propagation mechanisms of anti-gravitational fields. Based on the geometric chirality principle of UFT, five theoretical pathways for achieving long-range propagation of anti-gravitational waves are systematically evaluated, providing a clear theoretical blueprint for gravitational engineering, space propulsion, and gravitational wave communication. All derivations undergo rigorous dimensional consistency verification, forming a logical closed loop with prior UFT achievements (mass-frequency equivalence, geometric expression of the fine-structure constant, system, electromagnetic-gravitational unified theory, etc.), while smoothly converging to existing quantum theories under corresponding limits.This work signifies that the UFT paradigm of "physics as geometry" has extended from classical physics, electromagnetism, and relativistic quantum mechanics to the core domains of quantum information and quantum engineering. It provides a robust first-principles geometric foundation for understanding the essence of quantum mechanics and actively safeguarding quantum technologies. This record is formatted and submitted by Lynn Lou Beran on behalf of the author. The author is solely responsible for the content.
Contemporary physics and Quantum Field Theory (QFT) have long regarded "Wave-Particle Duality" as a mysterious attribute built into microscopic entities, and have dimensionally reduced "Virtual Particles" in the quantum vacuum to transient, random ghosts limited only by Heisenberg's uncertainty principle. This phenomenological mathematical treatment has thoroughly stripped wave phenomena and vacuum fluctuations of their substantive geometric significance. Grounded in the extreme topological framework of the 0/∞ Null Model, this research proposes a pure mechanical re-interpretation model that completely discards statistical probability theory. This paper rigorously demonstrates at the level of geometric ontology: the physical three-dimensional cosmic manifold we inhabit is, in fact, encapsulated within a "4D Riemann Spherical Membrane" forged by the extreme crushing of countless deadlocked particles and possessing a global, infinite gravitational potential. For topological boundaries such as photons, which encapsulate an absolute vacuum internally and have a rest mass of m=0, they are not subject to inertial drag in three-dimensional space, yet simultaneously endure an "infinite topological gravity from all directions" originating from the 4D shell. This global infinite pull endows the photon with its true kinematic limit—namely, "Infinite Speed." Driven by a propagation rate approaching infinity, the photon, within a macroscopic finite time resolution, instantaneously traverses all spatial coordinates within the three-dimensional geometric interstices, thereby exhibiting a pervasive, continuous "Wave State" characterized by interference. The so-called "Observer Collapse" is by no means an idealistic magic involving the intervention of subjective consciousness, but rather an unavoidable substantive physical collision exerted upon this infinite-speed topological boundary by a macroscopic multi-field coupled system possessing massive mass (such as a measuring instrument). This cosmic-scale "Braking Effect" forces the photon to be forcibly dragged down and dimensionally reduced to the maximum geometric tangent limit tolerable by the macroscopic 3D universe (the speed of light c), thereby converging and anchoring into a "Particle State" possessing definite coordinates. Simultaneously, this research redefines the ontology of wave functions and virtual particles. The wave function is not an abstract probability, but an "acting force information structure" excited by the infinite phase transition energy of the "Singularity Big Bang" and "Singularity Big Crunch." These acting forces act like absolutely rigid straight lines in mathematics, penetrating the entire 3D spacetime. When this 1D straight line encounters the infinite gravitational traction of the 4D spatial membrane, it inevitably generates extreme high-frequency geometric oscillations. The "infinite points" presented by the shattering of the straight line under infinite-speed oscillation are precisely the virtual particles observed by quantum mechanics. Virtual particles have never randomly "generated and annihilated" out of thin air in the vacuum; rather, they are the substantive topological fluctuations of the underlying 1D geometric straight line alternating between a continuous wave state (line) and a discrete particle state (point) at infinite speed.
This work presents a unified, interpretive account of quantum interference and delayed-choice experiments that applies equally to photons and massive particles. Rather than invoking spacetime trajectories, wave–particle duality, retrocausality, or collapse postulates, the paper locates quantum interference in the coherent evolution of internal, pre-geometric degrees of freedom defined over classical spacetime. Within this framework, “which-path” questions are not merely unanswered but fundamentally ill-posed: interference arises from global coherence of an internal field subject to experimental boundary conditions, while spacetime itself remains single-valued and classical at laboratory scales. The approach reproduces all standard quantum-mechanical predictions without modification and is explicitly interpretive rather than predictive. A central result is a unified explanation of why interference occurs across disparate physical systems—photons, electrons, atoms, and molecules—while decoherence manifests through system-dependent physical mechanisms. Photons and massive particles differ in how internal coherence is lost (e.g., electromagnetic absorption versus collisional and thermal interactions), but not in the underlying principle. Delayed-choice experiments are reinterpreted without paradox: changes to the apparatus modify boundary conditions for the internal field rather than retroactively altering particle histories. By removing spacetime paths from the fundamental ontology, the framework offers a consistent, path-free account of interference, decoherence, and localized detection that preserves the empirical success of quantum mechanics while clarifying its conceptual foundations.