On the Information Conservation Law This article establishes the foundational version of the Information Conservation Law (ICL) as the central axis of the proposed framework. Its task is not yet to prove the law in all its domains or to confront it numerically with data, but to state clearly what it claims, why it is introduced, and how it organizes a common architecture for measurement, decoherence, horizons, and emergent geometric relations. The ICL is formulated here as an internal law of the model and as a proposed physical hypothesis relative to established physics, summarized by the bookkeeping relation dI_accessible + dI_hidden + dI_horizon = 0. On that basis the paper fixes an operational taxonomy, a set of interpretive principles, and a minimal effective realization through a scalar field s(x) understood as a coarse-grained collective variable rather than a unique microscopic derivation. The work positions this proposal against holography, ER = EPR, relational quantum mechanics, decoherence, and black-hole complementarity, and makes explicit that exact demonstrations and quantitative applications lie beyond the scope of the present article. The result is a foundational formulation of the ICL: a proposal that fixes the law, its scope, its minimal ontology, and its role as a possible organizing principle between quantum mechanics, horizons, and the effective structure of spacetime.
On the Information Conservation Law This article establishes the foundational version of the Information Conservation Law (ICL) as the central axis of the proposed framework. Its task is not yet to prove the law in all its domains or to confront it numerically with data, but to state clearly what it claims, why it is introduced, and how it organizes a common architecture for measurement, decoherence, horizons, and emergent geometric relations. The ICL is formulated here as an internal law of the model and as a proposed physical hypothesis relative to established physics, summarized by the bookkeeping relation dI_accessible + dI_hidden + dI_horizon = 0. On that basis the paper fixes an operational taxonomy, a set of interpretive principles, and a minimal effective realization through a scalar field s(x) understood as a coarse-grained collective variable rather than a unique microscopic derivation. The work positions this proposal against holography, ER = EPR, relational quantum mechanics, decoherence, and black-hole complementarity, and makes explicit that exact demonstrations and quantitative applications lie beyond the scope of the present article. The result is a foundational formulation of the ICL: a proposal that fixes the law, its scope, its minimal ontology, and its role as a possible organizing principle between quantum mechanics, horizons, and the effective structure of spacetime.
This treatise develops Informational Monism as a unified ontological architecture for emergent spacetime, quantum records, and bounded agency. It rejects the premise of an ontologically primary spatiotemporal container populated by localized particles, and treats physical reality instead as a coarse-grained, error-corrected rendering of a deeper informational state. Reality is organized across three tiers: an unmanifest Meta-Background; a low-dimensional Code Circuit carrying a global unitary description; and a rendered bulk in which embodied observers encounter classical spacetime, matter, and records. Within this architecture, the treatise offers interpretive accounts of three central problems in foundational physics. Bell correlations are read through joint commitment at the boundary rather than through bulk signalling. Quantum measurement is treated as the actualization of a single irreversible record under a question-and-commitment discipline that preserves Born neutrality. Black-hole information is handled through complexity-resolved conservation: fine-grained unitarity may be preserved while remaining inaccessible to resource-bounded decoders. A Minimal Core of six postulates supports these proposals without modifying the predictive apparatus of quantum mechanics. Broader extensions — including the Horizon Model of the Dynamic Absolute, the Principle of Super-Balance, and the conservation of meaning — are developed separately and marked as dependent on further postulates. The work distinguishes direction from status in the arrow of time, states labelled conjectures and conditions of revision, and presents a research programme with near-, mid-, and far-term horizons. The result is not a claim of final theory, but a systematic non-dualistic framework in which geometry, record formation, accessibility, and agency can be discussed within one architecture. Keywords: Informational Monism; emergent spacetime; holographic principle; quantum measurement; Bell non-locality; black hole information; complexity; Super-Balance; philosophy of physics; foundations of quantum mechanics
This paper presents a groundbreaking unified framework that bridges quantum information theory and black hole physics by introducing the concept of universal informational phase conservation. Through rigorous simulation of 8-12 qubit systems, we first establish a precise power-law scaling for information leakage: η ∝ N^(-0.43), demonstrating the emergence of near-perfect information conservation in larger quantum systems. A key structural parameter, Δ₀ ≈ 8.0, is identified as the regulator of information flow. We then perform a revolutionary extrapolation, applying this quantum scaling law to resolve the long-standing black hole information paradox. Our model demonstrates that information loss in Hawking radiation becomes negligible (η_BH ~ 10^(-33)) for astrophysical black holes, naturally ensuring information conservation without violating unitarity. The framework is further unified by reinterpreting the consciousness field (from the AOUF v2.5 model) as a cosmic-scale informational phase coordination field (Φ), which governs information dynamics from quantum to cosmic scales. Predictions for anomalous gravitational wave frequency shifts and photon ring brightness enhancements are derived and shown to be consistent with public data from LIGO and the Event Horizon Telescope. This work provides the first quantitative link between microscopic information scaling and macroscopic information paradoxes, offering a testable pathway towards a theory of quantum gravity. Keywords: Information Conservation, Black Hole Information Paradox, Quantum Scaling Laws, Page Curve, Quantum Gravity, Consciousness Field, Δ₀ Parameter, Holographic Principle
Abstract This article does not claim to present a successful theory of quantum gravity. Instead, it undertakes a systematic and self-aware survey of the research program aiming to derive both quantum mechanics and general relativity from a purely relational network, based on a set of minimal ontological postulates. The framework rests on three axioms: (1) physical reality consists of nodes without intrinsic properties and their symmetric relations; (2) the relation strengths are non-negative and symmetric, with the total information capacity conserved as an ensemble expectation; (3) local evolution is restricted to redistribution of relations within triads. We honestly display and rigorously distinguish the conceptual achievements from the essential obstacles of this framework. On the quantum side, we obtain solid conceptual progress: the Born rule, unitary evolution, and topological nonlocality of entanglement all emerge naturally as representation-theoretic consequences of the statistical description of a finite information capacity network. This strongly suggests that the mathematical structure of quantum mechanics may be a generic feature of the statistical representation of any complex informational system satisfying “finite information + local relational evolution.” On the gravitational side, however, we encounter chasms that current mathematical and conceptual tools cannot bridge. A central contribution of this article is to clearly label these obstacles as fundamental open scientific problems: the conflict between a positive-definite relational ontology and the target of pseudo-Riemannian signature (signature problem); the missing coarse-graining procedure from a discrete network to a smooth manifold (coarse-graining problem); and the disharmony between external algorithmic time and emergent physical time (time problem). We argue that these are not technical details unique to this framework, but core challenges that any “spacetime from relations” program must confront. The article positions itself as a “conceptual cartography”—it precisely delineates the known boundaries of this research program, exposes the fatal rift often bypassed in mainstream discourse, and transforms all unresolved issues into a formal invitation for future investigation.
Physics is extraordinarily successful at describing lawful behavior once states, observables, geometry, and dynamical laws have been specified. This manuscript asks a prior question: what makes a physical description sufficiently closed to support law at all? The argument begins conversationally, with familiar foundational questions about patterns, mathematics, law, quantum measurement, entropy, complexity, consciousness, and existence. It then introduces a mathematical architecture in which a richer realization space is mapped to an effective description through a generally many-to-one disclosure or reduction. Quotients record what has become sufficient; fibers retain what the reduced description does not resolve; dynamic sufficiency tests whether the reduced representation preserves the relevant future. Π : 𝔊 → 𝔏 𝔉_L = Π⁻¹(L) ΠUₜ = φₜΠ The framework develops partial closure, closure defect, obstruction, minimal restoration, hysteresis, memory, future-sufficient relevance, and the distinction between physical dimension and task-relevant dimension. Established structures in information theory, reduced dynamics, quantum theory, renormalization, and related fields serve as calibrations rather than proofs of a new ontology. Stronger proposals—including entropy as closure-relative unresolved distinction, negentropy as retained organization, and quantum gravity as mutual quantum-geometric closure—remain explicitly programmatic until separately derived and tested. The central proposal is that local lawfulness does not require global ontological exhaustion: reality may close sufficiently without closing absolutely. Keywords: closure mathematics; partial closure; dynamic sufficiency; quotient; realization fiber; obstruction; minimal restoration; entropy; quantum foundations; quantum gravity; open real Explainer video Watch on YouTube (Roots of Reality): https://youtu.be/C-MS_Hivox0 The video, its thumbnail and description are included in this record.
This paper provides the unified ontological foundation for the Mutual Information Density Hypothesis (MIDH) series. It consolidates and clarifies the structural commitments underlying five prior papers on entity persistence, meta-evolution of physical laws, cosmic acceleration, quantum entanglement, and chronology-first ontology. The central purpose is to close an interpretive ambiguity: MIDH is a structure-first framework, not a quantum-first one. The paper explicitly states that classicality is ontologically real – not an epistemic illusion, not a perspectival slice of a branching multiverse, not a "for all practical purposes" approximation. Quantum and classical behaviors are different structural phases of the same underlying correlation dynamics, distinguished by mutual information density and meta-coupling strength. The paper introduces the core primitives (correlation, chronology, metas), formalizes the viability law (R = D_int / D_env ≥ κ), and positions MIDH relative to existing interpretations of quantum mechanics. A dedicated section explicitly rules out common misreadings: not Everettian, not QBist, not Bohmian, not retrocausal, not consciousness-dependent, not decoherence-only. Intended as a reference document for readers engaging with any paper in the MIDH series, it establishes the shared conceptual backbone and identifies open research questions including Born rule derivation, meta-transition dynamics, and mathematical formalization.
This series presents a structured and logically sequential formulation of a discrete informational framework governed by global coherence constraints. Although it originates from the same research program developed in the earlier exploratory preprint series (P-series), the works presented here constitute an autonomous and self-contained series, organized in a progressively axiomatic form and focused on the explicit derivation of the framework’s effective structures. The goal of the construction is to investigate whether structures commonly associated with quantum mechanics, thermodynamics, and geometry may emerge from a discrete relational substrate without being introduced as fundamental postulates. Each article addresses a specific level of the theoretical derivation and forms part of a progressive logical structure based on results established in the preceding works of the series. This article introduces the general structure, scope, and current status of the framework. The work provides an organized overview of the results developed in the first articles of the series, clarifies the overall logic of the theoretical construction, and situates the framework within a broader research program dedicated to the emergence of quantum, thermodynamic, and geometric structures from informational coherence constraints. The article does not introduce new specific physical postulates, but serves a methodological and introductory role: it defines the conceptual setting of the series, the relation between the different levels of the derivation, and the interpretative and theoretical limitations currently assumed within the framework.