General Theory of Layered Authority - Omega Tower of Layered Authority

General Theory of Layered Authority Mathematical Spine for the Six-Layer Fixed Authority Cosmology Formalizes the authority stack connecting finite obstruction, finite descent authority, representation transport, completion comparison, continuum shadow, and residual closure. The paper’s central claim is that higher layers may organize, transport, compare, complete, or expose residue, but they do not create authority. Operational authority appears only when a proposal is represented, routed, descended into a finite certified packet, verified, and terminalized into a declared authority-bearing status. The governing normal form is: Π♯ = τ♯ ∘ₖ FOC♯ ∘ₖ D♯ ∘ₖ ρ♯ ∘ₖ R♯ Authority is defined by the existence of an authority-bearing terminal output. GTLA v1.2 presents the Omega Tower of Layered Authority as a typed finite-authority framework. It separates proposal, representation, routing, verification, terminalization, certified transport, comparison, completion, finite-shadow continuum discipline, and typed residual closure. The governing doctrine is that authority is introduced only by terminalized certified finitedescent. Upper layers may organize or classify evidence, but do not create new authority constructors. This pre-print narrows the public GTLA spine by excluding disputed universal learning-rate claims from earlier drafts. The unified manuscript is accompanied by a proof-light navigation file, a mathematical spine, and a theorem ledger. Exact-authority obstruction factorization is stated with its quotient-gauge separation hypothesis.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20472345
Primary Topic
Library Science and Information Systems
Type
preprint
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preprint

General Theory of Layered Authority - Omega Tower of Layered Authority

JEREMY H. CARROLL
Zenodo (CERN European Organization for Nuclear Research)
Library Science and Information Systems
preprint

General Theory of Layered Authority - Omega Tower of Layered Authority

JEREMY H. CARROLL
preprint en

Abstract

General Theory of Layered Authority Mathematical Spine for the Six-Layer Fixed Authority Cosmology Formalizes the authority stack connecting finite obstruction, finite descent authority, representation transport, completion comparison, continuum shadow, and residual closure. The paper’s central claim is that higher layers may organize, transport, compare, complete, or expose residue, but they do not create authority. Operational authority appears only when a proposal is represented, routed, descended into a finite certified packet, verified, and terminalized into a declared authority-bearing status. The governing normal form is: Π♯ = τ♯ ∘ₖ FOC♯ ∘ₖ D♯ ∘ₖ ρ♯ ∘ₖ R♯ Authority is defined by the existence of an authority-bearing terminal output. GTLA v1.2 presents the Omega Tower of Layered Authority as a typed finite-authority framework. It separates proposal, representation, routing, verification, terminalization, certified transport, comparison, completion, finite-shadow continuum discipline, and typed residual closure. The governing doctrine is that authority is introduced only by terminalized certified finitedescent. Upper layers may organize or classify evidence, but do not create new authority constructors. This pre-print narrows the public GTLA spine by excluding disputed universal learning-rate claims from earlier drafts. The unified manuscript is accompanied by a proof-light navigation file, a mathematical spine, and a theorem ledger. Exact-authority obstruction factorization is stated with its quotient-gauge separation hypothesis.

Zenodo (CERN European Organization for Nuclear Research)
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Library Science and Information Systems
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