Causal–Entropic Relativity (CER) A Pre-Geometric, Information-Theoretic Framework for the Emergence of Time, Space, and Gravitation

CAUSAL–ENTROPIC RELATIVITY (CER) Final Complete Ultimate Edition — Clean Pre-Print (Version 1.0) A Pre-Geometric, Information-Theoretic Framework for the Emergence of Time, Space, and Gravitation Description Causal–Entropic Relativity (CER) presents a foundational, pre-geometric research framework in which spacetime and gravitation are not treated as fundamental entities, but as emergent macroscopic phenomena arising from causal order constrained by irreversible entropy production and finite informational capacity. At the most primitive level, physical reality is described in terms of Causal–Entropic Events, defined solely by information content, entropy, and causal accessibility, without assuming any background spacetime, metric structure, or coordinate system. Within this framework: Time emerges as an entropy-ordered causal relation, grounded in monotonic entropy increase rather than external clocks. Space arises as an informational distance defined over admissible causal paths, becoming geometric only after coarse-graining dense causal networks. Gravitation is interpreted as a statistical bias in causal propagation induced by entropy gradients, yielding effective attractive dynamics at macroscopic scales. In appropriate thermodynamic and continuum limits, the framework reproduces effective spacetime geometry and Einsteinian gravitation as emergent, coarse-grained descriptions, consistent with established thermodynamic approaches to gravity. CER is intentionally formulated as a research program and conceptual foundation, not as a completed physical theory. It emphasizes clarity of axioms, falsifiability at the phenomenological level, and long-term extensibility for future mathematical and empirical development. Scope and Positioning This work is classified as a framework-grade, future-oriented foundational study, designed for: International academic scrutiny in foundations of physics Cross-disciplinary research linking information theory, thermodynamics, and gravity Conceptual exploration of emergent spacetime and causal structure Long-horizon theoretical development (2030–2050 research landscape) It is not positioned as an operational doctrine, experimental claim, or finalized theory of quantum gravity. Methodological Characteristics Pre-geometric and background-independent Axiomatic, minimal, and non-reductive Compatible with open science and open-access principles Free from classified, dual-use, or weaponized content Citation-ready and suitable for long-term archival reference Illustrative computational models included in the work are explicitly toy models, intended to demonstrate internal conceptual consistency rather than to serve as physical simulations. Intended Use This document may be used as: A primary pre-print reference A foundational framework citation A conceptual basis for future theoretical extensions A reference work for interdisciplinary dialogue in physics and information science Author Dr. B. MazumdarIndependent Researcher–ScholarAI Governance • Cybersecurity • Post-Quantum Cryptography (PQC) • Digital StatecraftFounder, FAIR+D Canon — India (2025) Persistent Identifiers DOI: 10.5281/zenodo.18186276ORCID: https://orcid.org/0009-0007-5615-3558 Version Information Version: 1.0Document Type: Final Complete Ultimate Edition — Clean Pre-PrintLanguage: EnglishPublication Standard: International / Framework-Grade