This work is under active development. It is shared for academic and collaborative purposes only and may evolve significantly. Use at your own discretion.
The Unified Resolution Model (URM) is a theoretical framework proposing that leading approaches to quantum gravity — such as Loop Quantum Gravity (LQG) and M-theory — represent different observational resolutions of a single, underlying multidimensional reality.
This repository contains the conceptual foundation, mathematical formulation, and simulation code that together form a scalable, testable model for understanding dimensional emergence.
- Resolution Parameter (ρ): A continuous scalar representing observational fidelity, energy scale, or information density.
- Lens Operator (L̂ρ): A projection operator that filters observable structure depending on resolution.
- Dimensional Emergence: As ρ increases, additional spatial dimensions become observable through continuous transitions.
- LQG and M-Theory Unified: Spin networks in LQG may represent low-resolution projections of high-dimensional brane structures described by M-theory.
- A Unified Resolution Model: Reconciling Loop Quantum Gravity and M-Theory via Layered Magnification - 2025/07/27
- Unified Resolution Model I: A Theoretical and Mathematical Framework for Dimensional Emergence - 2025/07/27
- Unified Resolution Model II: Mathematical Structure and Dimensional Transitions - 2025/07/28
This repository includes a C# console application that simulates resolution-dependent dimensional emergence:
- 📈 Smooth transitions in D(ρ) from 4D to 11D using sigmoid or power-law mappings.
- 🧩 Lens projections reveal growing state complexity as resolution increases.
- 🧱 Modular architecture prepared for future extensions (e.g. tensor networks, holographic mappings).
This work is licensed under the
Creative Commons Attribution 4.0 International License (CC BY 4.0).
- This repository accompanies the URM research effort and is open for simulation support, peer discussion, and collaboration.
- Future updates may include:
- Interactive web simulations (e.g. with Three.js)
- Experiment protocols (BECs, entanglement scaling)
- Visualizations of the Emergence Zone