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The Mathematics of Coexistence

DOI Latest Release Verify

Source TeX files, verification scripts, and figure-generation code for the following paper series:

Thermodynamics of Cooperation

Paper Title
TC-I Necessary Constraints
TC-II Strategic Entropy Injection
TC-III Accumulated Negentropy
TC-IV Thermodynamic Friction
TC-V Cooperative Equilibrium
TC-VI Value Dynamics

A Theory of Ethics from First Principles

Paper Title
Ethics-I Thermodynamic Norms

Monograph

Paper Title
The Mathematics of Coexistence: A Formal Framework for Universal Ethics

Pre-built PDFs are available from GitHub Releases or in pdf/.

Repository Structure

pdf/                           Pre-built paper PDFs
tex/                           TeX sources
  shared/                      Shared bibliography and figures
  <paper>/paper/               Per-paper TeX source
scripts/
  run_verification.py          Consolidated verification runner
  generate_figures.py          Figure generation from verification data
  simulations/                 Verification scripts
  figures/                     Figure-rendering scripts
modules/                       Python computation library
VERIFICATION.md                Verification methodology and results

Running Verification

git clone https://github.com/keithlostracco/ethics-theorem.git
cd ethics-theorem
uv venv
uv pip install -e .
python scripts/run_verification.py

Requires Python ≥ 3.11. Pass -v for verbose output. See VERIFICATION.md for details.

License

Creative Commons Attribution 4.0 International — see LICENSE.

Citation

Lostracco, K. (2026). The Mathematics of Coexistence: A Formal Framework for Universal Ethics. Zenodo. https://doi.org/10.5281/zenodo.18900496

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