The Information-Entropy Framework (IEF)

A Mathematical Foundation for Spacetime Dynamics

This repository contains the paper "The Information-Entropy Framework: A Mathematical Foundation for Spacetime Dynamics," which proposes a novel theoretical approach to understanding fundamental physics.

Abstract

The Information-Entropy Framework (IEF) presents a rigorous mathematical formalization that proposes spacetime dynamics emerge from fundamental information processes governed by entropy principles. The paper demonstrates how the distribution and transformation of quantum information across different scales produces the observed properties of spacetime, including its emergence, dynamics, and expansion.

Through the derivation of a scale-invariant coupling function, the framework establishes how entropy production at different scales contributes to cosmic evolution, effectively unifying quantum, thermodynamic, and gravitational phenomena within a single mathematical framework.

Theory Website

For a complete exploration of the theory, including additional mathematical derivations and visualizations, visit: https://kzmoozce.manus.space/

Key Contributions

• Unified Mathematical Framework: Connects quantum information theory, thermodynamics, and gravity through a coherent mathematical structure
• Scale-Invariant Coupling Function: Derived from first principles to explain how entropy at different scales affects spacetime
• Resolution of Longstanding Physics Puzzles: Offers novel explanations for the arrow of time, dark energy, and the low entropy of the early universe
• Testable Predictions: Provides specific, quantitative predictions across multiple observational domains

Sections Overview

1. Introduction: Information as Reality's Foundation

   • Fundamental questions in modern physics
   • The primacy of information

2. The Mathematical Structure of Information-Entropy Dynamics

   • From quantum information to spacetime
   • The entropy spectrum and information hierarchies
   • The information structure tensor

3. Scale-Invariant Coupling Between Entropy and Spacetime Dynamics

   • Deriving the scale-invariant coupling function
   • The entropy-expansion correspondence
   • The generalized entropy tensor
   • Emergence functional and phase transitions

4. Resolving Cosmological Puzzles

   • The arrow of time
   • Dark energy as cosmic-scale entropy dynamics
   • The cosmological constant problem
   • The emergence of black holes

5. Experimental Predictions and Observational Tests

   • Specific cosmic-scale predictions

Citation

If you use or reference this work, please cite it as:

Hellman, S. (2025). The Information-Entropy Framework: A Mathematical Foundation for Spacetime Dynamics. GitHub repository. URL: https://github.com/Sean-Hellman

Contact

Sean Hellman
GitHub: https://github.com/Sean-Hellman seanhellman@pm.me

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