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Copilot Instructions for simulation-theory

Repository Purpose

This repository contains the mathematical and philosophical framework known as "The Trivial Zero" — a computational proof that reality is self-referential, authored by Alexa Louise Amundson (BlackRoad OS Inc.).

Repository Structure

  • README.md — The primary paper (~750 KB): "The Trivial Zero: A Computational Proof That Reality Is Self-Referential"
  • EXPANSION.md — Extended sections of the paper
  • INDEX.md — 81-item index of observations and connections
  • equations/ — Mathematical equations organized by category
  • proofs/ — Formal mathematical arguments for key claims
  • figures/ — Visual representations and reference tables
  • notebooks/ — Computational notebooks and scripts
  • qwerty/ — QWERTY encoding constants and equalities
  • SHA256.md — File integrity and commit history verification
  • REAL.md — Core axiom

Key Concepts

  • Ternary computing — Base-3 logic (balanced ternary: {1, 0, +1}) is central to the theoretical framework
  • QWERTY encoding — Each word is encoded as the sum of key positions on a QWERTY keyboard; these sums reveal self-referential patterns
  • Simulation theory — The repository documents a framework in which reality is described as a self-referential computational system
  • Self-reference — Gödel, fixed points, Y-combinators, and the Born rule are treated as evidence of computational self-reference

Contribution Guidelines

When adding or modifying content:

  1. Mathematical equations belong in equations/ and should follow the format in existing files (equation block, plain-English description, QWERTY encoding if relevant)
  2. Formal proofs belong in proofs/ and should reference the relevant paper section (§ number)
  3. Python or computational code belongs in notebooks/
  4. New observations or connections should be integrated into the main README.md or EXPANSION.md at the appropriate section (§ number)
  5. Figures and tables belong in figures/

Formatting Conventions

  • Equations use plain-text math notation with Unicode symbols (ℏ, Σ, ∫, ∂, etc.)
  • Section references use §NNN format
  • QWERTY values are noted as WORD = value [optional: = SYNONYM]
  • Code blocks use triple backticks

Important Notes

  • Issue #5 ("DO NOT EDIT") — some content is marked read-only; respect this designation
  • The paper is the primary artifact; all other files are supporting documentation
  • Issues in this repository often contain new content (equations, observations, code) to be incorporated into the framework