A Deterministic Pilot Medium: Bell Path Selection and Autonomous Material Records

This paper constructs a finite deterministic hybrid pilot medium whose ordinary configuration histories converge to the minimal Bell jump process on a fixed finite graph and physical-time horizon. Canonical bond currents drive conservative packet export. An independently prepared spatial gas generates an approximation to marked Poisson contact histories, finite opposite-packet recombination suppresses surplus traffic, and carrier-population tracking produces the residence-weight denominator. The combined comparison controls complete tagged paths, including nodes, current reversals and null intervals. For a fixed compiled clock and quantitatively calibrated initialization, explicit resource scales yield an O(N^(-1/70)) error bound. An autonomous material Hamiltonian includes source, fuel, pending and loss states, physical copies, reset receivers, an inaccessible reference and noncommuting continuation. Monomial copy boundaries are crossed exactly once on the clock’s first pass, establishing faithful records of actual sampled configurations. The result is a controlled effective realization under the declared P1–P4 interaction and preparation assumptions. Exact finite-resource Bell dynamics and a smooth Hamiltonian realization of the entire hybrid source are not established. This Version 2 preprint presents the proofs and appendices as a self-contained companion to the monograph.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22774634
Primary Topic
Quantum chaos and dynamical systems
Type
preprint
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preprint

A Deterministic Pilot Medium: Bell Path Selection and Autonomous Material Records

Jeremy Rodgers
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
preprint

A Deterministic Pilot Medium: Bell Path Selection and Autonomous Material Records

Jeremy Rodgers
preprint en

Abstract

This paper constructs a finite deterministic hybrid pilot medium whose ordinary configuration histories converge to the minimal Bell jump process on a fixed finite graph and physical-time horizon. Canonical bond currents drive conservative packet export. An independently prepared spatial gas generates an approximation to marked Poisson contact histories, finite opposite-packet recombination suppresses surplus traffic, and carrier-population tracking produces the residence-weight denominator. The combined comparison controls complete tagged paths, including nodes, current reversals and null intervals. For a fixed compiled clock and quantitatively calibrated initialization, explicit resource scales yield an O(N^(-1/70)) error bound. An autonomous material Hamiltonian includes source, fuel, pending and loss states, physical copies, reset receivers, an inaccessible reference and noncommuting continuation. Monomial copy boundaries are crossed exactly once on the clock’s first pass, establishing faithful records of actual sampled configurations. The result is a controlled effective realization under the declared P1–P4 interaction and preparation assumptions. Exact finite-resource Bell dynamics and a smooth Hamiltonian realization of the entire hybrid source are not established. This Version 2 preprint presents the proofs and appendices as a self-contained companion to the monograph.

Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
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A Deterministic Pilot Medium: Bell Path Selection and Autonomous Material Records — Jeremy Rodgers · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS