Protected Charge, Vacuum Sequestering, and the Bank–Leaf Loop

We consolidate the R⁸ Bank–Leaf programme from protected internal charge and twisted clocks to polarization transport, vacuum sequestering, and a causal feedback witness. Exact auxiliary results establish nonvanishing under conserved charge, conditional four-plus-four role exchange, and restrictions on preparation, sign selection, and records. Subsequent tests distinguish moving roles from transported payload and show that the present polarization coupling is not universal gravitational coupling. An independent Bank clock combined with a spatial Hopf invariant supplies a fixed topological sector for a declared global Kaloper–Padilla construction; constant vacuum shifts cancel, while field-dependent forces and historical stress remain. A dust-plus-stiff cosmology reproduces a sign-changing residual but admits no accelerating recollapsing branch under its assumptions. A finite-energy active oscillator coupled to a passive Leaf absorber is provably stabilized, and its native twenty-four-address frame has a vanishing common linear projection. Neither result derives gravity or cosmic acceleration. We give the canonical acceleration criterion, derive the boundary and exchange terms that limit the fast-oscillator dust analogy, and identify the remaining requirements for the correlated closed-loop programme. The accompanying archive preserves the earlier thirty-six-page note and supplies executable checks, provenance, and a correction ledger.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23732246
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Protected Charge, Vacuum Sequestering, and the Bank–Leaf Loop

Diogenes
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Protected Charge, Vacuum Sequestering, and the Bank–Leaf Loop

Diogenes
preprint en

Abstract

We consolidate the R⁸ Bank–Leaf programme from protected internal charge and twisted clocks to polarization transport, vacuum sequestering, and a causal feedback witness. Exact auxiliary results establish nonvanishing under conserved charge, conditional four-plus-four role exchange, and restrictions on preparation, sign selection, and records. Subsequent tests distinguish moving roles from transported payload and show that the present polarization coupling is not universal gravitational coupling. An independent Bank clock combined with a spatial Hopf invariant supplies a fixed topological sector for a declared global Kaloper–Padilla construction; constant vacuum shifts cancel, while field-dependent forces and historical stress remain. A dust-plus-stiff cosmology reproduces a sign-changing residual but admits no accelerating recollapsing branch under its assumptions. A finite-energy active oscillator coupled to a passive Leaf absorber is provably stabilized, and its native twenty-four-address frame has a vanishing common linear projection. Neither result derives gravity or cosmic acceleration. We give the canonical acceleration criterion, derive the boundary and exchange terms that limit the fast-oscillator dust analogy, and identify the remaining requirements for the correlated closed-loop programme. The accompanying archive preserves the earlier thirty-six-page note and supplies executable checks, provenance, and a correction ledger.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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