Procedural Cosmology in 9 Dimensions

The ASH Model

Adinkra-Stabilized Hypercube — a unified framework for structure, information, and existence built on a 9-dimensional binary state space with 512 cosmological realms.

Explore the Framework Read the Paper View on GitHub
9
Dimensions
512
Realms
5
Axioms
3
Proofs
ASH Model Banner
Overview

A New Approach to Cosmology

Built from binary mathematics, error-correcting codes, and supersymmetric graph theory.

⬢

9D Hypercube

512 vertices forming a binary state space where each vertex encodes a distinct cosmological realm as a 9-bit string.
⨁

XOR Transformations

Agents traverse the hypercube via XOR with doubly-even codewords, preserving algebraic structure.
✔

Error Correction

Embedded doubly-even codes provide structural resilience, correcting noise up to the Hamming bound.
Axioms of Existence

Five Foundational Principles

Formalized in Kripke-frame modal logic, defining what it means to exist within the ASH framework.

A1

Relational Existence

Nothing exists in isolation.
A2

Compressibility

Real patterns compress below raw data.
A3

Persistence

Entities persist across scales.
A4

Erasure Cost

Deletion requires energy.
A5

Self-Reference

Consciousness requires self-modeling.
Simulation

Computational Evidence

Key results from 2,000 agents over 2,000 ticks on the 512-vertex hypercube.

📈

Gaussian Convergence

Bell curve within ~1,000 ticks regardless of initial conditions.
🛡

Noise Resilience

Stable below 6% noise, matching Hamming bound predictions.
🌳

Fractal Branching

L-system decoherence trees with universal convergence.

Explore the Mathematics

Formal proofs, simulation code, and academic references.

Mathematical Foundations Simulation Results