Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

Action Corridor from Metric Pressure: Least-Residue Selection, Stationarity, and the Euler–Lagrange Slot

Authors: Searcy, Kenneth;

Action Corridor from Metric Pressure: Least-Residue Selection, Stationarity, and the Euler–Lagrange Slot

Abstract

A forced derivation of least-residue (action) selection from refinement-stable bookkeeping. This paper continues the forced sequence by showing that once a quadratic curvature size functional and dualization are forced, a global, partition-independent scalar ledger is pressured as the minimal selection rule among corridor-admissible configurations. The resulting “action corridor” selects configurations by least-residue (minimizing accumulated quadratic size) without importing manifolds, integrals, or calculus limits as primitives. Expressing least-residue using only corridor-legal first-order perturbations pressures an adjoint comparison operator and yields a local Euler–Lagrange-type slot, presented as an adjoint/paired form of the previously forced dynamical balance constraint.

Keywords

Bianchi, forced sequence, Triad Logic, Pure mathematics, corridor method, Lagrange, Discrete mathematics, Applied mathematics, information, Euler, gauge invariance, curvature, operator, FOS: Mathematics, refinement, Mathematics

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!