This paper proposes and validates a unified theory of quantum spacetime based on an admissibility principle. We demonstrate that all spacetime characteristics of quantum systems emerge from a fundamental admissibility conditionwhereis a coordination function. This principle naturally gives rise to the quantum uncertainty relationwhere is the minimal admissible action. More importantly, we show how this microscopic principle leads to macroscopic hierarchical spacetime structures, including the effect and system-type-dependent correction factors. By connecting microscopic admissibility conditions with macroscopic observations, we establish a complete theoretical framework from fundamental principles to practical quantum system descriptions
This paper proposes and validates a unified theory of quantum spacetime based on an admissibility principle. We demonstrate that all spacetime characteristics of quantum systems emerge from a fundamental admissibility conditionwhereis a coordination function. This principle naturally gives rise to the quantum uncertainty relationwhere is the minimal admissible action. More importantly, we show how this microscopic principle leads to macroscopic hierarchical spacetime structures, including the effect and system-type-dependent correction factors. By connecting microscopic admissibility conditions with macroscopic observations, we establish a complete theoretical framework from fundamental principles to practical quantum system descriptions
We introduce a unified framework in which system validity, dynamics, and evolution are governed by constraint-defined admissibility. A system state is admissible if it satisfies a set of constraints, and deviation from admissibility is quantified by a residual function α(S). We show that system evolution can be expressed as a gradient-driven process minimizing α(S), providing a unified description of physical motion, computational optimization, and control systems. We further extend the framework to a variational formulation and demonstrate that α(S) acts as a generalized potential. A quantum formulation is derived in which α(S) appears as a constraint-based potential term in the Schrödinger equation. Measurement is interpreted as constraint injection, and apparent probabilistic behavior emerges from admissibility structure. The theory provides a unified description across classical mechanics, quantum systems, and computational processes, reframing dynamics as the minimization of inconsistency with respect to constraint-defined admissibility.
We propose that the unobservability of absolute scale constitutes a foundational principle of physics. Starting from the requirement that physical predictions must be invariant under rescalings of the action, we show that only phase-based quantities remain well defined. This requirement uniquely selects a complex amplitude description, leading directly to the structure of quantum mechanics, including linear superposition, Hilbert space, and the Born rule. Within this framework, the classical notion of action loses absolute meaning, and physical observables arise from invariant phase relations. Quantum mechanics is therefore not postulated, but emerges as the minimal consistent description of systems in which scale cannot be directly observed. The formal structure of quantum theory is shown to follow from this principle without additional axioms. We further demonstrate that the same principle implies the existence of a dynamical scale field, which governs the effective quantum scale and connects naturally to cosmological models with a time- dependent Planck mass. In this way, the structure of quantum mechanics and the large-scale dynamics of the Universe are linked through a common origin. This framework provides a unified perspective in which quantum behavior and cosmological evolution arise from a single underlying principle, suggesting a new approach to the relationship between fundamental physics and cosmology.
Foundational problems in physics—including quantum measurement, spacetime emergence, gravitational dynamics, nonlocality, the arrow of time, and the status of physical existence—are typically addressed in isolation, via model-dependent extensions or interpretive assumptions. This work proposes a different approach. We introduce a constraint-based framework, the Closure Admissibility Principle (CAP), which specifies minimal structural conditions any physical description must satisfy in order to be globally consistent. CAP is formulated in operational terms, using admissibility of states, recoverability under refinement, and stability of closed records, without assuming spacetime, dynamics, or ontology a priori. We show that enforcing these constraints induces a unifying closure structure on law-space, from which several persistent foundational puzzles are resolved as structural consequences rather than postulates. In particular, collapse is reclassified as record selection, spacetime and gravity emerge only in compressible regimes, General Relativity appears as an infrared universality class rather than a fundamental law, singularities correspond to failures of admissible description, and null (“nothing”) models are excluded as inadmissible fixed points. The framework is explicitly falsifiable via operational and weak-field tests, and its scope and limits are stated precisely. The results suggest that many foundational paradoxes arise not from incomplete dynamics, but from admitting globally incoherent physical descriptions.
We develop a foundational framework in which quantum mechanics, spacetimestructure, and gravitation emerge from a unifying informational principle.[1–3] ThePrinciple of Least Information (PLI) asserts that among empirically admissible descriptions of the universe, those with minimal total algorithmic description lengthare physically realized. We show that PLI naturally leads to a polarization-invarianttwo-time structure, from which standard quantum mechanics arises as a reduced opensystem dynamics. Energy, vacuum structure, particle properties, and modified gravityemerge consistently within this framework. This work presents the first comprehensiveformulation of the theory.
We introduce physical phase invariance as a minimal, observer-independent principle capable of unifying quantum theory and relativity. By identifying the physical phase with the classical action measured in units of Planck’s constant, the framework assigns phase a direct operational meaning. Spacetime structure, Lorentz invariance, and quantum probabilistic behavior emerge as effective descriptions of underlying phase dynamics rather than fundamental postulates. Time is defined relationally through phase evolution, and classical motion arises from stationary phase conditions. A simple dynamical equation for the phase field is proposed, while quantum probabilities are shown to result from statistical coarse-graining over unresolved phase degrees of freedom. This approach provides a coherent conceptual foundation linking quantum mechanics, special relativity, and gravitation.
The Theory of Temporal Relativity proposes a unified theoretical framework that extends Special and General Relativity into the complex domain, integrating aspects of Quantum Mechanics within a single geometrical structure. The theory introduces a generalized Hilbert-space geometry and interprets quantum states as observer-dependent, arising from complex temporal relations between reference frames. Theory of Temporal Relativity is a theoretical framework proposing a unified extension of Special and General Relativity into the complex domain, with the goal of incorporating aspects of Quantum Mechanics within a consistent geometrical model. The theory generalizes Hilbert-space geometry and relativistic invariance to complex coordinates, introducing observer-dependent descriptions of physical quantities and a reinterpretation of quantum states as complex-phase relations between reference frames. Within this model, fundamental constants such as c, G, and h are not strictly universal but can exhibit apparent local variations arising from the observer’s position in the complex spacetime manifold. These variations preserve global covariance and CPT symmetry while reconciling quantum non-locality with relativistic kinematics. The framework predicts experimentally testable effects, including measurable phase shifts in interferometric experiments, possible frequency modulations in non-inertial systems, and small local deviations of physical constants detectable in condensed-matter and gravitational contexts. The supplementary work, “Quantum Uncertainty, Planck’s Constant, and Ontological Insights from Complex Spacetime Geometry and Local Metric Deformations”, develops the principle of Temporal Relativity as a foundational element of the theory. It formalizes the connection between quantum uncertainty, metric deformations, and complex temporal structures, within an alternative logical framework (AU). This extension provides both an ontological interpretation of the wavefunction and a basis for the emergence of quantum indeterminacy from geometric causes. Together, these works present a coherent attempt to unify the relativistic and quantum domains under a single complex-geometric view of spacetime, maintaining mathematical rigor while providing clear experimental pathways for empirical validation.