Fisher Information Geometry and the Thermodynamic Cost of Self-Referential Calibration
Authors/Creators
Description
Version 2 adds a new Section 8: Numerical Demonstration, a self-contained 20-dimensional linear-prediction simulation confirming the three core predictions (delusion-correction separation, detectable staleness, optimal calibration budget) under continuous drift.
Changes from v1:
- New Section 8 with three figures and reproducible Python code
- Abstract: corrected ln 2 factoring to match Theorem 5
- Detectability proof: fixed θ₀ linearisation
- Additivity proof: added separable-DOF qualifier
- Discussion: updated summary table to reference numerical results
- Editorial: minor wording improvements throughout
Supplementary material: tdome_demo.py (self-contained, requires only NumPy + Matplotlib), three figure PDFs, and alpha_opt_curve.csv.
Files
T_DOME_paper_III_v2.pdf
Files
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Additional details
Dates
- Updated
-
2026-02-10v2: Added Numerical Demonstration section (Section 8) with reproducible simulation and three new figures
- Created
-
2026-02-10v1: Original publication