On Boundaries of Evidence — Boundary-State Calculus for Typed Observation, Admissible Transfer, and Falsifiable Persistence

Version 1.1.0 of a foundational preprint proposing Boundary-State Calculus as a typed mathematical audit calculus for claims that move between scientific descriptions. This release adds certified normalized-scale families, logarithmic-rate and singular-set theorems, analytic zero-transfer and exact-decision bounds, a Riemann-zeta and dynamical-quantum-phase-transition instance, nine mathematical fixtures, and one retained deterministic execution receipt. The work is not a fundamental ontology, a unified physical theory, a proof of the Riemann Hypothesis, a complete reference implementation, or a peer-reviewed result.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21710743
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

On Boundaries of Evidence — Boundary-State Calculus for Typed Observation, Admissible Transfer, and Falsifiable Persistence

J. Tree
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

On Boundaries of Evidence — Boundary-State Calculus for Typed Observation, Admissible Transfer, and Falsifiable Persistence

J. Tree
preprint en

Abstract

Version 1.1.0 of a foundational preprint proposing Boundary-State Calculus as a typed mathematical audit calculus for claims that move between scientific descriptions. This release adds certified normalized-scale families, logarithmic-rate and singular-set theorems, analytic zero-transfer and exact-decision bounds, a Riemann-zeta and dynamical-quantum-phase-transition instance, nine mathematical fixtures, and one retained deterministic execution receipt. The work is not a fundamental ontology, a unified physical theory, a proof of the Riemann Hypothesis, a complete reference implementation, or a peer-reviewed result.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Quantum Mechanics and Applications
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