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Research . 2026
License: CC BY
Data sources: Datacite
ZENODO
Research . 2026
License: CC BY
Data sources: Datacite
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Aureus Binarii Calculus Derivii; Ecce Fideli Gravitas Humo!

Authors: Kofski, William R.;

Aureus Binarii Calculus Derivii; Ecce Fideli Gravitas Humo!

Abstract

This paper proposes a triadic mechanics of form: distinction (a primitive binary cut that opens alternatives), delineation (the stabilization of the cut into boundary and principle), and determination (an emergent balance among interacting boundaries that becomes a condition for further operation). A formal instance (The General Mechanics of Determination) is developed in which a bounded state ψ ∈(0,1) (a determinacy index) induces a multiplicative potential O= Odds(ψ) ∈(0,∞) and an additive gauge Φ = BlnO. An additive segment-label map E (work-ledger) together with a transfer compatibility axiom forces the exponential multiplier m(a) = exp(a/B) and the canonical weld Φ(y)−Φ(x) = E(g), ψ= σ(Φ/B). Beyond this scalar kernel, an abelian obstruction class measures “difference in repetition”: when [ω] = 0 the regime is classical-like in the internal sense that ledger+endpoints are compositionaly complete (scalarization), while when [ω] ̸= 0 the scalar ledger is incomplete and word-level holonomy supplies a necessary non-scalar invariant (non-scalarizability). For electron-type classes, non-classicality localizes to the unique minimal invariant core A: off-core the obstruction trivializes and scalar closure holds, while on-core holonomy-witness loops persist with zero scalar cost. The broader thesis is that truth remains primitive, yet determination can be mechanically complete as a closed, revisable accounting whose failures of scalar closure are themselves structurally legible and localizable.

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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
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