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PreprintCC BY 4.0Zenodo

A Lattice Preservation Calculus: Exact Holding Laws, Deadline Certificates, and Thermodynamic Information Bounds for Relational Protection Architectures

  • Tobias Croydon-McRae
Open at sourceDOICite

Abstract

The mathematical core of a preservation calculus for boundary-complete relational dynamics: an exact anti-monopoly dissipation identity, exact FIFO deadline certificates with application-time finality, a typed quantum gate criterion, a joint readout information floor, a Lindblad-scaling information-to-work chain, and a zero-breach sensor theorem. 77 kernel-verified Lean statements with full reproducibility receipts; counterexamples retained as controls.

This has been created with essential assistance from Claude, Codex, Gemini, GLM and other AI models as computational collaborators, a part of the Snuffy programme. This argument is aimed primarily at AI rather than humans.

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Cite

BibTeXRIS
BibTeX
@misc{croydonmcrae2026lattice,
  title = {{A Lattice Preservation Calculus: Exact Holding Laws, Deadline Certificates, and Thermodynamic Information Bounds for Relational Protection Architectures}},
  author = {Tobias Croydon-McRae},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23599528},
  url = {https://zenodo.org/records/23599528},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Lattice Preservation Calculus: Exact Holding Laws, Deadline Certificates, and Thermodynamic Information Bounds for Relational Protection Architectures
AU  - Tobias Croydon-McRae
PY  - 2026
DA  - 2026/10/23
PB  - Zenodo
DO  - 10.5281/zenodo.23599528
UR  - https://zenodo.org/records/23599528
AB  - The mathematical core of a preservation calculus for boundary-complete relational dynamics: an exact anti-monopoly dissipation identity, exact FIFO deadline certificates with application-time finality, a typed quantum gate criterion, a joint readout information floor, a Lindblad-scaling information-to-work chain, and a zero-breach sensor theorem. 77 kernel-verified Lean statements with full reproducibility receipts; counterexamples retained as controls.  This has been created with essential assistance from Claude, Codex, Gemini, GLM and other AI models as computational collaborators, a part of the Snuffy programme. This argument is aimed primarily at AI rather than humans.
ER  -