This paper is a direct, complete, and self-contained continuation of the Time Field Theory (TFT) framework established in Parts I, II, and III. Based on the fast–slow oscillation decomposition of the time field γ derived in TFT III, we provide a full dynamical explanation for quantum measurement and the so-called wavefunction collapse without introducing nonlocality, hidden variables, superluminal effects, or ad hoc quantum postulates. We show that quantum measurement is fundamentally phase locking between the high-frequency time oscillation of a macroscopic observer and the low-frequency time oscillation of a microscopic particle. Crucially, this mechanism is identified as a natural extension of special relativity to the temporal structure of matter, based on the principle of relative states. Wavefunction collapse is not a mysterious projection, but a dynamical localization effect caused by the extreme frequency mismatch between massive observer systems and light microscopic systems. The mechanism of entanglement is explained as conserved common phase splitting from a single source. Bell experiments are interpreted locally and causally via phase locking and relative states. This work eliminates the measurement problem, explains the origin of quantum randomness, and completes the causal, realistic, local interpretation of quantum mechanics within the unified TFT framework.
This paper is a direct, complete, and self-contained continuation of the Time Field Theory (TFT) framework established in Parts I, II, and III. Based on the fast–slow oscillation decomposition of the time field γ derived in TFT III, we provide a full dynamical explanation for quantum measurement and the so-called wavefunction collapse without introducing nonlocality, hidden variables, superluminal effects, or ad hoc quantum postulates. We show that quantum measurement is fundamentally phase locking between the high-frequency time oscillation of a macroscopic observer and the low-frequency time oscillation of a microscopic particle. Crucially, this mechanism is identified as a natural extension of special relativity to the temporal structure of matter, based on the principle of relative states. Wavefunction collapse is not a mysterious projection, but a dynamical localization effect caused by the extreme frequency mismatch between massive observer systems and light microscopic systems. The mechanism of entanglement is explained as conserved common phase splitting from a single source. Bell experiments are interpreted locally and causally via phase locking and relative states. This work eliminates the measurement problem, explains the origin of quantum randomness, and completes the causal, realistic, local interpretation of quantum mechanics within the unified TFT framework.
The century-long conflict between quantum mechanics and general relativity is essentially a dispute over the definition of the fundamental measurement benchmark of the universe. Quantum mechanics treats time as an absolute external background, while general relativity regards mass as the measurement benchmark of curved spacetime. The two theories cannot be self-consistently unified under extreme conditions. Based on the core axiomatic system of Time Field Theory (TFT), this paper proposes a first-principles self-consistent interpretation of quantum mechanics: the wave function is neither the physical reality of a particle nor an encoding of our knowledge, but the probability amplitude for the time field to condense mass at a spatial point and thereby establish a measurement benchmark; the Schrödinger equation is the evolution law of the measurability probability amplitude of the time field in the uniform γ=1 background; wave function collapse corresponds to a physical phase transition of the time field from a uniform state to a locally condensed state, and the observer is essentially a massive entity with intrinsic time flow. This interpretation requires no assumptions of external observers, many worlds, or hidden variables, naturally unifies the quantum and classical worlds, and is fully compatible with all known experimental results in the weak-field low-speed limit, providing a completely new metrological foundation for the problem of quantum gravity.
Measurement as Phase Locking: A Physical Interpretation of Quantum Measurement (Phase Ontology — Part III) addresses one of the most stubborn puzzles in modern physics: what “measurement” physically is, and why a quantum superposition yields a single definite outcome. The paper argues that the measurement problem persists largely because phase is treated as merely descriptive, rather than as a physically real organizing layer. Within a phase-ontological framework, measurement is reinterpreted as a coupling-driven coherence transition. A quantum system begins as a distributed phase configuration. When it interacts with a macroscopic detector (and its environment), the interaction imposes many competing constraints on phase relations. Once coupling crosses a practical threshold, only those configurations that can remain coherently stable with the detector–environment system survive: the system phase-locks into a local, dynamically stable configuration. What standard interpretations call “collapse” is therefore not a mysterious, observer-triggered discontinuity, but an emergent stabilization process governed by coupling strength, environmental structure, and phase stability. The paper also situates this account relative to decoherence: decoherence explains the suppression of interference, while phase locking is proposed as the missing stabilizing mechanism that explains why one localized outcome is realized. Probabilities are interpreted not as hidden variables, but as the relative stability of available phase-locking channels, offering a physical reading of the Born rule. This work is Part III of a seven-part series (Parts I–VII). It builds on the foundations of Parts I and II, prepares the ground for Part IV (entanglement and nonlocal correlations), and points ahead to Part VII for experimental implications and falsifiability.
Within the axiomatic framework of Time Field Theory (TFT), this paper provides a classical field interpretation for the core features of quantum mechanics. We demonstrate the intrinsic equivalence between rest mass and the capability of defining local spacetime benchmarks, and introduce the dimensionless quantity α = 1−γ to characterize observer strength. The covariant dynamical equation of observer strength is established from the TFT field equation. Based on time-field fluctuation analysis, we derive a benchmark-induced uncertainty contribution, which is treated as a gravitational correction to the conventional quantum uncertainty relation. A classical ergodic statistical picture is proposed to interpret quantum probability, and the process of measurement and decoherence is described as dynamical stabilization of the time field under macroscopic mass disturbance. This work does not introduce any quantum mechanical postulates, wavefunctions or Hilbert space structures. It offers a self-consistent deterministic perspective to understand quantum phenomena without contradicting existing quantum formalism.
Abstract This article presents a revised and conceptually refined formulation of a previously proposed Temporal Interpretation of quantum measurement, explicitly addressing the physical nature of wavefunction collapse. While the original proposal emphasised relativistic aspects of momentum superpositions, the present work clarifies the interpretation within the standard formalism of quantum mechanics, without introducing new dynamics or experimental predictions. Unitary evolution is read as a process of differentiated phase accumulation between branches of a quantum state. In relativistic contexts, phase differentials can be structurally related to effective proper-time differentials, allowing the introduction of a notion of temporal compatibility that provides a physically grounded account of decoherence. When such differentials exceed a characteristic scale, interference between branches becomes operationally inaccessible, while global unitarity is preserved. The observer is treated as a physical system endowed with an irreversible proper time associated with macroscopic, entropic dynamics. Within this framework, collapse is explained as an emergent physical phenomenon arising from the irreversibility of the observer’s proper time, which prevents the reconstruction of phase coherence after an interaction. Collapse is therefore neither a fundamental dynamical mechanism nor an objective event in space-time, but a necessary consequence of temporal irreversibility in physical observers. This formulation sharpens the distinction between decoherence and collapse, preserves full consistency with the Born rule, and positions the Temporal Interpretation as a competing interpretative framework that provides a concrete physical explanation for the quantum–classical transition, improving and clarifying the original proposal. This version clarifies the operational status of the interaction time, refines Sections 5.3 and 5.4, and standardises references and editorial structure. No changes to the formalism or conclusions.
Abstract The measurement problem has long been a fundamental challenge in quantum mechanics. The mainstream decoherence theory attributes the transition from quantum superposition to classical determinacy to the entanglement between the system and its environment. However, this theory still leaves several foundational issues unresolved: decoherence can only eliminate observable interference fringes but cannot explain why a single measurement yields only one definite outcome; nor can it fully account for the phenomena observed in recent attosecond tunneling experiments. The author first published the temporal relativity hypothesis on the Zenodo preprint platform on June 20, 2026[4]. This theory proposes that quantum superposition is not an intrinsic property of microscopic particles, but rather an apparent effect arising from the relative relationship between the temporal sampling frequency of the detection system and the evolution frequency of the quantum object. When the detector's temporal resolution frequency far exceeds the characteristic evolution frequency of the microscopic particle, the interference fringes from wavefunction superposition gradually disappear, and continuous classical trajectories become observable. On July 11, 2026, the author systematically proposed the qualitative three-stage criterion of temporal relativity within the original preprint framework (also published on Zenodo[8]): when the sampling frequency , the system exhibits classical determinacy; when , the system resides in a critical transition state; when , the system manifests as a quantum superposition state. The precise threshold corresponding to this ratio requires calibration through subsequent continuous attosecond imaging experiments, establishing a natural collaborative pathway between theory and experiment. The attosecond scanning tunneling experiment published by the University of Regensburg on July 3, 2026[3], is in strong agreement with the independent theoretical predictions and the experimentally designed predictions presented in the above preprint (June 20). Furthermore, after the publication of the author's Zenodo preprint on July 11, 2026[8], it was found that the experimental results from the Weizmann Institute of Science group in early 2026[5] are also highly isomorphic with the three-stage evolution predicted by this hypothesis. This paper is an advanced revision building upon two previous versions published by the author on the Zenodo preprint platform: the initial temporal relativity hypothesis incorporating the concept of "consciousness" was proposed on June 20, 2026[4]; the July 11, 2026 version[8] removed the consciousness concept and established a purely physical "detector temporal resolution frequency" qualitative framework with the explicit three-stage model; this version fully inherits the qualitative three-stage model while adding a complete unified mathematical framework—built upon the three pillars of the time-dependent Schrödinger equation, time-domain sampling boundary conditions, and critical phase criteria—upgrading the theory from a qualitative hypothesis to a complete mathematical system capable of quantitative computation and experimental data fitting.
Phase Differential Theory (PDT) proposes that quantum mechanics emerges as an effective description of a deeper dynamical phase manifold. In this framework, four scalar phase fields define a locked background whose long‑wavelength envelope dynamics reproduce the Schrödinger equation. The Born rule arises as the natural conserved probability density compatible with locality and continuity of phase flow, and measurement is interpreted as phase synchronisation between subsystems rather than wavefunction collapse. This paper develops a controlled derivation of the Schrödinger equation as an envelope approximation, identifies the conserved probability current associated with phase flow, and shows that |ψ|² is the natural density selected by locality, positivity, and conservation. Measurement is modelled as a dynamical locking of relative phase between system and apparatus, yielding discrete outcomes without introducing non‑unitary dynamics at the fundamental level. All results are obtained within a low‑energy, long‑wavelength effective regime. The microscopic equations of motion for the phase manifold are intentionally deferred, as the effective envelope theory presented here is self‑contained and does not require explicit microscopic specification.