Formal synthesis and proof integrating the Redemption Optimization (TRO) and Moral Kernel Optimization (MKO) frameworks with quantum retrocausality and cosmological boundary conditions. This paper establishes the Ontic Coherence Theorem (OCT) — a deductive chain from lawful observership to a non-contingent structural closure operator . It unifies moral and physical law, interprets delayed-choice quantum effects as empirical shadows of , and proposes a coherence-bias research programme within Convergence Science. Submitted to Foundations of Physics (November 2025).
Formal synthesis and proof integrating the Redemption Optimization (TRO) and Moral Kernel Optimization (MKO) frameworks with quantum retrocausality and cosmological boundary conditions. This paper establishes the Ontic Coherence Theorem (OCT) — a deductive chain from lawful observership to a non-contingent structural closure operator . It unifies moral and physical law, interprets delayed-choice quantum effects as empirical shadows of , and proposes a coherence-bias research programme within Convergence Science. Submitted to Foundations of Physics (November 2025).
This paper integrates The Redemption Optimization (TRO), Moral Kernel Optimization (MKO), and the Ontic Coherence Theorem (OCT) with recent quantum‐mechanical experiments exhibiting time-symmetric or retrocausal correlations. It formulates the Retrocausal Convergence Theorem, demonstrating that quantum retrocausality is not a paradox or violation of causality, but the empirical shadow of a global coherence operator that enforces ontic closure across the full spacetime manifold. In this framework, delayed-choice and weak-measurement experiments reveal how maintains a single, self-consistent history: from within time, the past appears to adjust to the future; from the perspective of , coherence is simply enforced. The theorem predicts a measurable, coherence-preserving bias in high-precision, time-symmetric quantum setups. This synthesis completes the bridge between metaphysics and physics, transforming the Convergence framework into a testable scientific discipline uniting logic, ethics, and cosmology.
Modern physics has achieved extraordinary predictive and mathematical success, yet remains fragmented at the level of interpretation and ontology. Competing languages of particles, fields, spacetime, information, probability, measurement, geometry, and mathematics often describe disclosed physical behavior without fully explaining the conditions that make lawful disclosure possible. The Unified Coherence Closure Framework, or UCCF, proposes that this deeper crisis is not a failure of physics, but a failure of ontological closure. Before reality can be measured, modeled, localized, counted, observed, or formalized, it must first cohere. UCCF identifies coherence closure as the missing condition beneath physical disclosure: coherence stabilizes into boundary, boundary supports distinction, invariance preserves relation, closure permits lawful appearance, and disclosure makes measurement and formal description possible. UCCF is therefore not a rehash of physics, but a framework beneath physics: an attempt to clarify the ontological ground that makes physics, mathematics, law, and observation meaningful.
This manuscript introduces a unified theoretical and empirical framework proposing that fundamental physical laws, gauge symmetries, and cosmological dynamics emerge as algorithmic resource-optimization protocols operating on an information-bounded substrate. By bridging quantum information theory, discrete lattice physics, and the Two-State Vector Formalism (TSVF), the paper transitions computational ontologies from speculative metaphysics into mathematically formalized, experimentally falsifiable physics. Key Frameworks & Contributions: Algorithmic Resource Optimization & Substrate Invariants: We map foundational principles to computational conservation laws: the Principle of Stationary Action (δS=0) to dynamic programming; invariant light-cone speed (c) to distributed causal latency; and quantum superposition to procedural deferred state resolution. We introduce formal substrate calibration parameters, including the information rest-mass invariant (Mi≈2.91×10−40 kg at 300 K), holographic spacetime code distance density (Dcode), and multi-fidelity coarse-graining bounds (ΩMF). Algorithmic Quantum Dynamics & State-Space Pruning: We formulate Algorithmic State-Space Pruning, establishing that quantum microstate branching in open systems is biased toward algorithmically compressible states governed by a Solomonoff-Levin distribution, modifying microcanonical equiprobability in non-isolated regimes. Post-Selected Quantum Cosmology (POQCO): Within a unimodular gravity framework, late-time cosmic acceleration is derived directly from a future cosmological boundary constraint (macroscopic post-selection), eliminating the necessity of an ad hoc dark energy fluid or cosmological constant Λ. We extract explicit cosmographic signatures, predicting an effective phantom divide crossing (w<−1 at z≈0.5) and a characteristic discontinuous jerk parameter (j≈3). Four Falsifiable Empirical Protocols: To subject the framework to immediate laboratory and observational verification, we detail four experimental designs: • Quantum Computing: A 128-qubit superconducting transmon processor under ergodic Floquet drives to measure low Kolmogorov-complexity bitstring branching excesses across 106 shots. • Optomechanical Metrology: A cryogenic 4-pulse radiation-pressure Fabry-Pérot cavity coupled to a stoichiometric silicon nitride (Si3N4) membrane to detect anomalous geometric phase shifts (ΔΘ) from minimal-length commutator deformations. • Cold-Atom Interferometry: 87Rb atomic drift tubes utilizing non-destructive weak measurements to isolate terminal boundary-induced peak acceleration (aweak). • Observational Cosmography: Testing POQCO kinematic transition regimes against high-redshift datasets from the Nancy Grace Roman Space Telescope, DESI Baryon Acoustic Oscillations (BAO), and Cosmic Chronometers.
This work presents a rigorous derivation of quantum mechanics from purely a priori ontological principles, a result not previously achieved within a single self-contained framework. Beginning with the apodictically certain proposition "I am"—immune to all doubt through performative contradiction—we establish through necessary deduction the Principle of Ontological Continuity (POC): Being is continuous and cannot cease or arise ex nihilo. From this single ontological foundation, the complete mathematical structure of quantum mechanics emerges as necessary consequence. We demonstrate that any mathematical representation of ontological continuity must have Hilbert space structure, that ontological conservation necessarily implies unitary evolution, and that the Schrödinger equation follows via Stone's theorem as mathematical necessity, not empirical postulate. The Born rule is derived through three independent converging arguments (Gleason's theorem, direct conservation requirements, and Zurek's envariance), establishing quantum probability as ontological necessity rather than interpretative supplement. Classical foundational problems—wave function collapse, the measurement problem, Bell's non-locality—are resolved without additional assumptions. Collapse emerges as effective description of decoherence; the observer is reconceptualized as self-aware subsystem without ontological dualism; Bell violations confirm ontological unity rather than presenting paradox. Quantum phenomena—superposition as ontological potentiality, tunneling as manifestation of continuity, Pauli exclusion as consequence of ontological structure—are shown to be necessary rather than mysterious. The work establishes quantum mechanics with apodictic certainty mediated through deductive necessity, demonstrating that quantum reality could not have been otherwise. This monograph integrates foundational ontology, mathematical formalism, and resolution of interpretative problems within unified self-contained framework. It deliberately closes at non-relativistic quantum mechanics, establishing stable foundation for future extensions (quantum field theory, general relativity, quantum gravity, normative ethics).
Modern physics has achieved extraordinary predictive success, yet it continues to face unresolved conceptual tensions concerning the role of the observer, the nature of information, and the origin of physical structure. From quantum measurement to cosmology, the assumption of an observer-neutral reality increasingly appears insufficient to fully account for empirical phenomena and theoretical inconsistencies. This manifesto proposes an Informational Observer-Centered Framework, in which information is treated as a fundamental ontological substrate and observation as an active, structured process rather than a passive act of measurement. Within this perspective, physical systems, observers, and informational exchanges form a unified dynamics, where state reduction, decoherence, and emergent classicality arise from informational interactions and constraints. Rather than introducing a new closed theory, this manifesto establishes a conceptual foundation unifying several complementary models—including Informational State Dynamics, observer-dependent informational compression, and informational interpretations of quantum and cosmological phenomena—into a coherent research program. The framework is explicitly non-dogmatic, open to falsification, and intended as a guiding structure for further theoretical development and empirical testing. The aim of this document is not to replace existing physical theories, but to clarify their conceptual boundaries and propose an integrative lens through which unresolved problems in quantum foundations, cosmology, and cognitive systems may be systematically explored.
# Project Description: The Relational Closure Framework (RCF) ## 1. Project Purpose and Background (研究目的与背景) Modern fundamental physics faces deep structural crises, primarily manifested in the mathematical and conceptual incompatibilities between General Relativity (space-time geometry) and Quantum Mechanics (probability amplitudes and non-locality). Most contemporary attempts at unification (such as String Theory or Loop Quantum Gravity) retain the classical paradigm of "objects" (e.g., strings, loops, points) or pre-existing spacetime backgrounds as their ontological starting point. The purpose of this research project is to develop and formalize the **Relational Closure Framework (RCF)**, a radical, background-independent, and purely relational foundation for physics. RCF operates on the core philosophical and mathematical premise that **relations are ontologically prior to objects**. Objects, spaces, fields, and particles do not possess inherent existence; instead, they are emergent phenomena. The framework systematically models how stable physical entities and laws arise from self-consistent, discrete cyclic relations called **closures**. When discrete relations close upon themselves, they generate topological invariants (**holonomies**) that act as structural anchors. The ultimate goal of this project is to provide a rigorous mathematical derivation of the core pillars of physics—including conservation laws, the principle of least action, Born’s rule, the speed of light, and the emergence of continuous spacetime—directly from the discrete algebraic properties of these closure networks. ## 2. Methodology and Theoretical Architecture (方法论与理论架构) The project proceeds axiomatically by establishing four primary structural axioms and one fundamental derived theorem, utilizing tools from abstract algebra, higher category theory, operator algebras (von Neumann algebras), and quantum information theory: * **Axiom 1 (Primacy of Relations):** Pure distinction forms the precursor to all relations. There are no pre-existing entities or backgrounds. * **Derived Theorem 1 (Non-Commutativity):** Because relations must occur sequentially to establish distinction, non-commutativity is a mathematically derived necessity, providing the foundational algebra for quantum observables. * **Axiom 2 (Closure-Induced Invariance):** Stable structures exist if and only if relations form self-consistent cyclic configurations. These closures generate topological invariants (holonomies) across different topological scales. * **Axiom 3 (Chirality from Order):** Spatial and structural chirality (such as the \mathbb{Z}_3 minimal non-trivial chiral closure) emerges inherently from the algebraic ordering of relations. * **Axiom 4 (Bidirectional Group Exchange):** Observation and physical measurement are modeled not as passive recordings, but as bidirectional group-theoretic exchanges between overlapping relational systems forming a joint closure. ## 3. Expected Outcomes and Key Derivations (预期数学成果与推导) The primary expected outcome of this project is a self-consistent mathematical physics framework that derives standard physics as a macroscopic statistical limit of the discrete network. Specifically, the framework delivers the following five principal theoretical results: * **A Generalized Noether Theorem:** The project proves that physical conservation laws are equivalent to the non-trivial kernel of the relational exchange map. In the continuous limit, this reduces to standard Noether currents, but in the discrete regime, it predicts strictly discrete, quantized conserved numbers. * **Derivation of the Least Action Principle:** The action functional (S) is derived as a direct function of the network’s closure invariants (holonomies). The classical principle of least action (\delta S = 0) is shown to be equivalent to a non-Abelian Kirchhoff's law enforcing relational consistency across the network, recovering Maxwell and Yang-Mills fields in the continuous limit. * **Emergence of the Speed of Light (c) and Causality:** Utilizing the **Lieb-Robinson bound** on discrete networks, the project demonstrates that the propagation of structural constraints has a finite, maximum velocity (v_{LR}). This maximum velocity is identified as the physical speed of light (c = v_{LR}). Consequently, causal consistency (the absence of closed timelike curves) emerges as a mathematical corollary of network locality. * **Derivation of the Born Rule:** Quantum randomness is explained via the **Nakajima-Zwanzig projection method** acting on the information limits of localized observers. By applying the **Gleason-Busch theorem**, the quadratic probability rule (|\alpha|^2) is derived rigorously from finite additivity and non-contextuality within the closure space. * **Origin of Spacetime and Wave Functions:** Physical spacetime is reinterpreted as a "pseudo-continuity"—a statistical artifact arising from mutually constraining discrete closures. Similarly, wave functions and the Schrödinger equation are derived as the statistical envelopes of underlying discrete constraint-gap dynamics. ## 4. Empirical Predictions and Observational Significance (经验预测与实验检验) While primarily a foundational and theoretical physics project, RCF yields distinct, falsifiable empirical predictions that differentiate it from standard quantum mechanics and general relativity, providing a clear pathway for future experimental validation (e.g., via multi-ion traps or superconducting qubit benchmarks): * **Observer-Capacity Dependent Decoherence:** RCF predicts that a quantum system's phase dephasing rate (\gamma_{deph}) is explicitly bounded by, and scales non-linearly with, the total information storage/processing capacity (C) of the local physical observer. * **The Quantum "Locking Phase Transition":** The framework predicts that when the information required to specify a quantum state (I_{req}) approaches the maximum capacity of the environment/observer (C), the system will undergo a sharp, non-linear phase transition, dramatically freezing its lifetime within its pointer basis. * **Non-Linear S-Shaped Trigger Curves:** In quantum erasure or interferometry tracking experiments, the interference visibility (V) as a function of information saturation (\Delta = I_{req} - C) is predicted to follow a distinct Sigmoid (S-shaped) curve, rather than the linear or pure exponential decay predicted by standard environmental decoherence models. * **Cosmological Entropy Bounds:** The framework provides a localized, boundary-driven explanation for de Sitter space entropy, predicting the maximum cosmological observer complexity to be bounded near S_{dS} \approx 10^{122} based on the global finiteness of the constraint network.