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 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.
This paper proposes a fundamental framework based on information geometry that unifies quantum mechanics, thermodynamics, and spacetime geometry into a single foundational theory. Starting from three elementary axioms regarding information as the primary physical ontology, we derive the universal information metric, construct the information action functional, and show that all known physical laws emerge as extremal conditions of this functional. The theory recovers standard quantum mechanics, classical thermodynamics, and general relativity in appropriate limits, while predicting new relations between quantum entanglement, gravitational curvature, and entropy. We conclude that all physical phenomena—matter, energy, spacetime, and interactions—are equivalent to geometric structures on the space of quantum information states.
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 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.
This work presents a unified theoretical framework that aims to bridge relativity and quantum mechanics through a single structural principle: delayed realization. Instead of assuming spacetime, time evolution, or quantum states as primitive entities, the framework introduces a pre-geometric definability network in which relational differences are initially undefined and become stabilized through nonlinear dynamics. The emergence of spacetime is then reinterpreted as the stabilization of definable differences, while the present is not given a priori but selected via delayed consistency over histories. Within this formulation, quantum phenomena arise naturally when multiple realization candidates coexist, producing interference structures governed by a variational principle. In the low-defect limit, the framework recovers effective relativistic geometry and field-theoretic behavior, including emergent gravitational curvature and gauge structures. A central contribution of this work is the formulation of a unified definability action, combining stabilization, curvature minimization, delayed consistency, and informational structure into a single variational framework. Under appropriate coarse-graining, this action yields structures consistent with Einstein field equations, quantum amplitudes, and gauge invariance as different regimes of the same underlying mechanism. This paper does not claim a fully closed mathematical unification of all physical sectors. Instead, it provides a coherent structural framework in which spacetime emergence, present realization, quantum probability, and effective field dynamics are organized as manifestations of a single principle. The framework is intended as a foundational step toward a deeper unification of physics, where time, geometry, and probability are not assumed, but emerge from the stabilization and realization of definable relational structures.
This study posits that information is a conserved and fundamental quantity underlying the dynamics of quantum systems, classical measurement, and consciousness. Building on the author’s conservation of information principle and the theory of Local Consciousness Instruments (LCIs), we integrate this view with Hardy’s reconstruction of quantum mechanics and reinterpret Einstein’s field equations as emergent expressions of informational geometry. We propose that a global structure, termed Nonlocal Consciousness (NC), unifies quantum theory and spacetime by serving as an informational limit toward which all observers converge. This framework presents a paradigm in which quantum and gravitational phenomena arise from a universal informational field. The theory is falsifiable through probes investigating quantum gravity corrections to canonical commutation relations.
This paper introduces the Total Entropic Quantity (TEQ) framework, a structural reformulation of quantum theory grounded in two foundational axioms. Axiom 0 posits entropy as a generative constraint: a geometric principle that determines which configurations can stably distinguish themselves, independent of space, time, or dynamics. Here, entropy is defined as a curvature-functional over distinguishability configurations, preserving only those patterns that remain stable under finite informational resolution---that is, structures not dissolved by coarse-graining or limited observability. Axiom 1, the Minimal Principle (MP), selects from these structures those that are maximally stable under entropy-weighted variation. From this entropic foundation, core elements of quantum theory---including the Born rule, quantization, and Schrödinger dynamics---emerge as special cases of entropy-stabilized geometry. The framework derives an entropy-weighted path integral and introduces a corrected Schrödinger equation that governs evolution in regimes of finite entropy curvature. In the high-resolution limit (β→∞), TEQ reduces to standard unitary quantum mechanics; in more general regimes, entropy flow deforms canonical dynamics, linking decoherence, dissipation, and gravitational curvature. TEQ reinterprets physical law as emergent structure within the geometry of distinguishability, rather than as imposed dynamics on a fixed spacetime background.