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Strict Theory Extension on a Lawful Continuous Cantor Shell
A new theory that cannot be defined from the old one, on a continuous substrate.
In plain words
Six mechanisms act on a Cantor space: rewrite, gating, timescale adaptation, lens selection, packaging and budget. On an audited shell the full loop is lawful.
A base theory is built from a pressure object. An extended theory is built by an evolve, forget, reinstantiate packaging map.
The extension is strict. The new theory cannot be defined from the old one, even on this fixed shell. A thermodynamic consequence follows: a nontrivial pressure disintegration over packaging fibers.
What it shows
- Lawfulness of the full loop on the shell.
- Closure of the selector weighted pressure object.
- A strict theory extension theoremlet with a thermodynamic reading.
What it does not claim
No claim beyond the audited shell class.
Cite
Tsiokos, I. (2026). Strict Theory Extension on a Lawful Continuous Cantor Shell. Zenodo. https://doi.org/10.5281/zenodo.19189353