Sealed or Leaky: The Source Tetralemma, Bell-Certified Hidden Information, and Finite-Resource Witnesses

Summary

Quantifies information absent from an initial classical readout under definite source outcomes, measurement independence and conditional no-signalling. Separates complete-information conservation from physical access, proves full-law surrogate limits and develops exact and robust finite-resource witnesses in specified measurement constitutions.

Notes

Information preserved, information accessible

Sealed or Leaky follows the seven-paper source–readout foundation. It gives explicit Bell-certified bounds on information absent from an initial classical readout, proves operational-surrogate limits, separates reversibility from accessibility, and constructs finite-resource witnesses in specified physical models.

Read the substantial explanatory article, then follow the complete technical argument. The web edition includes every numbered result, full proof, mathematical calculation, table and reference. All content is readable directly on the site.

The Bell interpretation retains definite source outcomes, measurement independence and no-signalling conditional on the nominated initial classical information. Other results specify their own model and access conditions beside their statements.

Download the original verification script. Place it beside the matching LaTeX source to include its manuscript consistency checks. Run with Python 3 without the -O option. The script checks specified finite constructions and numerical bounds; its output records which checks ran.

Version 3.1: mathematical revision 21 September 2026; publication preparation 1 October 2026. Author-supplied DOI: 10.5281/zenodo.23077474.

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Cite this paper

Jeremy Rodgers. Sealed or Leaky: The Source Tetralemma, Bell-Certified Hidden Information, and Finite-Resource Witnesses (Version 3.1). https://doi.org/10.5281/zenodo.23077474