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Causal Priority Theory part-1 A Unified Framework of Time, Gravity, Will, and Observation Causal Priority Theory v1: A Unified Framework of Time, Gravity, Will, and Observation

Kazuyoshi Maezawa

Published Apr 11, 2026• 0 citations
Publisher

Abstract

This paper presents the "Causal Priority Theory," a new unified framework that redefines causal change \bm{\Delta C} as the sole fundamental variable of the universe. It addresses the logical incompatibility between relativity theory and quantum mechanics regarding the definition of time. By deriving spacetime geometry, the Lorentz factor, and the uncertainty principle from the primacy of causal updates, this theory provides a consistent solution to the black hole information paradox and the violation of Bell's inequality. It also introduces a "Will Operator" (\bm{W}) to describe the observer's role in quantum collapse, offering falsifiable predictions for future experiments.

DOI
10.5281/zenodo.19491162

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This document provides a unified overview of the research series on Causal Priority Theory (CPT), which offers a novel resolution to the black hole information paradox. Based on a single fundamental variable \bm{\Delta C_{rel}} (quantum relative entropy) and a single axiom, this framework derives the black hole Page curve without the need for additional geometric assumptions such as replica wormholes or island surfaces. A key highlight of this synthesis is the parameter-free prediction of the Page time: This result differs significantly from the \bm{t_{Page} \approx 0.5 \, t_{evap}} predicted by the island formula, providing a sharp, falsifiable prediction that can be tested in analogue gravity systems (e.g., BEC, optical fibers). This document serves as a comprehensive roadmap for the full series (Episodes 0–6).

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This paper presents the "Causal Priority Theory," a new unified framework that redefines causal change \bm{\Delta C} as the sole fundamental variable of the universe. It addresses the logical incompatibility between relativity theory and quantum mechanics regarding the definition of time. By deriving spacetime geometry, the Lorentz factor, and the uncertainty principle from the primacy of causal updates, this theory provides a consistent solution to the black hole information paradox and the violation of Bell's inequality. It also introduces a "Will Operator" (\bm{W}) to describe the observer's role in quantum collapse, offering falsifiable predictions for future experiments.
The core dilemma of modern physics stems from two unproven ontological presuppositions: that spacetime is an innate container preceding matter, and that matter is an entity composed of indivisible particles. These presuppositions have led to the fundamental split between general relativity and quantum mechanics, giving rise to a series of century-old unsolved problems such as wave-particle duality, the quantum measurement paradox, the nature of gravity, and dark matter and dark energy. Based on the sole unfalsifiable first principle that "the essence of cognition is succession", this paper deduces a complete ontological system through pure a priori reasoning: the authentic physical world consists solely of one-dimensional successive rays and their transverse coupling relations; time is the successive extension of rays, space is the network of coupling relations, matter is the steady state of closed coupling, and all interactions are different manifestations of coupling actions. Particles are not authentically existing entities, but rather point-like endpoint phenomena presented in the observer's phenomenal world when two rays undergo an all-or-nothing coupling. Based on this framework, this paper uniformly explains all core phenomena in both the microscopic quantum domain and the macroscopic relativistic domain in one go, resolves all traditional physical paradoxes at the ontological level, achieves the ontological unification of the four fundamental forces, and proposes three falsifiable core predictions. This paper demonstrates that all theories of traditional physics are approximate descriptions of the authentic physical world at the phenomenal level, and their fundamental error lies in mistaking "coupling endpoints" for "primitive entities", thereby reversing the causal relationship. Cognitive Succession Ontology provides a logically consistent and universally unified ultimate foundation for physics.
Beyond Causality: Temporal Geometry, Informational Consistency, and the Foundations of Physical Time What if the deepest mystery of time is not whether the past can be reached, but whether causality itself is more fundamental than the physical laws through which we describe it? For more than a century, modern physics has transformed our understanding of space, time, matter, and information. General relativity revealed that temporal order is inseparable from spacetime geometry. Quantum theory challenged classical intuitions about measurement, correlations, and physical reality. Information theory provided a mathematical language for describing what can be known, transmitted, and recovered. Yet a profound question remains: must every physically consistent universe possess a globally ordered sequence of causes and effects? Beyond Causality investigates this question through an extended mathematical and conceptual study of temporal geometry, informational dependence, retrocausal feedback, and global consistency. Organized into six interconnected parts, this 430-page research monograph develops a framework for examining causal structures beyond conventional temporal ordering. It brings together established results from general relativity, quantum information, causal modeling, and fixed-point theory, while exploring additional mathematical constructions designed to clarify the conditions under which temporally nonstandard information networks can remain internally consistent. Particular attention is devoted to distinguishing mathematical self-consistency from physical realizability, statistical correlation from controllable communication, and unconventional temporal descriptions from genuine violations of operational causality. Among its principal investigations are the geometric and energetic constraints associated with localized chronology-violating spacetime models, the existence and stability of globally consistent informational feedback networks, the behavior of finite stochastic systems under intervention, and the relationship between quantum causal structures and hypothetical retrocausal channels. The work also extends the theoretical research program introduced in Eon Reverser: Toward Temporal Bubble Radio Communication, examining what additional mathematical, physical, and experimental conditions would be required before communication with an earlier receiver record could be considered a meaningful scientific possibility. Analytical derivations, formal propositions, computational examples, and reproducibility materials accompany the discussion. The proposed constructions are explicitly distinguished from established physical results, and no experimental evidence for backward-in-time communication is claimed. The central ambition of this monograph is neither to declare that causality can be violated nor to assume that temporal paradoxes admit a universal resolution. It is to ask a more precise question: what mathematical structures, consistency principles, and observable constraints would a physical theory have to satisfy if causal order were not universally fixed? The possibility that time, information, and causality may possess a deeper relationship than our present formulations reveal remains an open intellectual frontier. Exploring that frontier requires imagination disciplined by mathematics, speculation constrained by physical principles, and theoretical proposals that remain accountable to observation. Beyond Causality is offered as a contribution to that exploration: an attempt to extend the questions we can rigorously formulate, identify the limits of existing models, and provide a foundation for further investigation into the nature of physical time. Keywords: Causality; Temporal Geometry; General Relativity; Retrocausality; Closed Timelike Curves; Quantum Causal Structures; Information Theory; Global Consistency; Fixed-Point Theory; Chronology Protection; Advanced Electromagnetic Response; Eon Reverser.
This paper extends the original framework of Future Convergence Theory by incorporating elements from general relativity, quantum mechanics, information theory, and cognitive science into a unified mathematical model. The study introduces a Future Determinacy Function F(T), which evolves under the influence of spacetime geometry, quantum probability distributions, and entropy changes associated with conscious states.We propose the following key extensions:1.Integration with General Relativity: The future determinacy is affected by spacetime curvature, modeled via a term proportional to G_{\mu\nu} U^\mu U^\nu.2.Quantum Mechanical Influence: The future determinacy modifies the Schrödinger equation by introducing a correction term - i \lambda F \Psi, implying that the collapse of quantum states is influenced by the degree of future convergence.3.Information-Theoretic Considerations: The evolution of consciousness is linked to entropy changes, described by \frac{dC}{dT} = -\alpha C + \beta U(T) + \gamma \frac{dS}{dT}, suggesting that conscious perception may depend on the flow of future information.4.Experimental Considerations: We propose that these theoretical predictions could be tested through quantum experiments, EEG-based cognitive studies, and astrophysical observations of local spacetime perturbations.This work aims to redefine the nature of time, probability, and consciousness by suggesting that future information may causally influence the present, challenging classical causality and introducing a novel physical interpretation of temporal determinacy.
A mechanistic foundation for matter, gravity, and the quantum‑classical transition through boundary‑mediated spacetime coupling Abstract The Spacetime Coupling Framework proposes that matter is not a fundamental substance but a relationship: the coupling strength (κ) between space and time coordinates, mediated by a boundary field Φ. This framework explains quantum uncertainty as partial spatial decoupling, wave‑particle duality as coupling flexibility, entanglement as temporal coherence across spatial separation, measurement collapse as forced spatial localization, and gravity as the field effect of coupling strength rather than a fundamental force. The framework builds directly on earlier boundary work: Boundary Dynamics in Multi‑Universe Physics (10.5281/zenodo.17633773) — the first derivation of boundary‑mediated gravitational variation White Hole Formation via Boundary Rupture (10.5281/zenodo.17633762) — applying rupture mechanics to explain FRBs and information conservation Together, these works establish the lineage: boundary universality → rupture phenomena → spacetime coupling mechanism. The Spacetime Coupling Framework is falsifiable through near‑term experiments: frequency‑dependent quantum coherence extension, mass‑dependent resonance scaling, acoustic levitation anomalies, and frequency‑induced entanglement. It serves as the bridge between foundational boundary theory and applied cosmology. Background Independent frameworks in physics (quantum mechanics, general relativity, holography, brane cosmology, and Phase‑Dual Cascade Cosmology) leave unresolved gaps between micro and macro scales. This framework reframes matter and gravity as emergent from boundary‑mediated coupling, providing a single mechanism that unifies quantum phenomena, classical behavior, and gravitational effects. Key Contributions Unified Mechanism: Matter as κ(space, time, Φ) Quantum‑Classical Transition: Mass‑dependent coupling rigidity explains decoherence Gravity Emergence: g(x) = –c²∇κ(x), field effect of coupling gradients Compatibility: Reduces to Einstein’s equations at κ = 1, complements Higgs phenomenology Falsifiable Predictions: Quantum optics resonance tests, mass scaling, acoustic levitation anomalies, entanglement via frequency matching Repository Contents Main Paper: The Spacetime Coupling Framework (V1.0 – Mechanistic Foundation) Mathematical Formulation: Coupling tensor and boundary field equations Quantum Reinterpretation: Uncertainty, superposition, entanglement, collapse Gravity and Mass: Emergent phenomena from coupling strength Predictions: Experimental pathways for validation Development Logs: Transparent ITS‑based exploration and refinement Research Impact The Spacetime Coupling Framework contributes to theoretical physics by: Establishing a mechanistic foundation for boundary physics Providing falsifiable predictions across quantum mechanics, gravity, and cosmology Reconciling anomalies through a single coupling law Demonstrating how ITS methodology can unify disparate domains into testable physics Follow‑up Work Boundary Dynamics: From Particle to Cosmos (DOI: 10.5281/zenodo.17687561) — expands κ(L) across 35 orders of magnitude, reproducing particle mass ratios, galaxy rotation curves, and cosmological parameters with high precision Access and Documentation ORCID: https://orcid.org/0009-0003-4876-9273 GitHub: https://github.com/Neuron-Soul-AI/Neuron-Soul-AI LinkedIn: https://www.linkedin.com/in/marcelo-emanuel-paradela-teixeira-702082382/ Email: marcelo.soul.ai@gmail.com License: CC BY‑NC 4.0 © Marcelo Emanuel Paradela Teixeira 2025
This document provides a unified overview of the research series on Causal Priority Theory (CPT), which offers a novel resolution to the black hole information paradox. Based on a single fundamental variable \bm{\Delta C_{rel}} (quantum relative entropy) and a single axiom, this framework derives the black hole Page curve without the need for additional geometric assumptions such as replica wormholes or island surfaces. A key highlight of this synthesis is the parameter-free prediction of the Page time: This result differs significantly from the \bm{t_{Page} \approx 0.5 \, t_{evap}} predicted by the island formula, providing a sharp, falsifiable prediction that can be tested in analogue gravity systems (e.g., BEC, optical fibers). This document serves as a comprehensive roadmap for the full series (Episodes 0–6).
Abstract Quantum mechanics and relativity are two of the most successful theoretical frameworks in modern physics, yet their conceptual foundations remain difficult to reconcile at the deepest level. Quantum theory describes physical systems through states, observables, probabilities, measurement contexts, superposition, entanglement, and nonclassical correlations. Relativity describes physical processes through space-time structure, causal order, invariant physical law, observer-dependent decomposition of time and space, and constraints on signal propagation. This article examines the conceptual relationship between quantum measurement, relativistic causality, and space-time description. The purpose is not to present a mathematical unification but to analyze how the two frameworks organize physical explanation differently and where their interpretive tensions arise. Special attention is given to the measurement problem, the status of quantum states, the role of observers and reference frames, the meaning of locality, the distinction between correlation and causal influence, and the challenge of describing quantum processes without privileging a single global time. The article argues that many apparent conflicts between quantum theory and relativity result from importing classical intuitions into domains where they no longer apply. Quantum entanglement does not permit controllable faster-than-light communication, yet it challenges classical separability. Relativity forbids superluminal signaling, yet it does not require that all physically meaningful correlations be reducible to local classical properties. Measurement introduces another difficulty because standard quantum theory often describes state update in a way that appears instantaneous, while relativistic space-time does not provide a universal present. The discussion develops a conceptual framework in which quantum measurement is treated as a physical interaction, relativistic causality as a constraint on operational influence, and space-time description as an organizing structure for events rather than a simple background stage. This analysis is relevant for quantum field theory, quantum information, relativistic quantum foundations, and future approaches to quantum gravity.