EDOC Addendum II — Arrow and Carrier Principle

This addendum extends the operator formalism defined in EDOC Addendum I by specifying the mechanism of informational transfer between causal operators E, D, O, and C. Each arrow (E → D → O → C → E) represents causality-in-motion and requires a carrier that conveys energy and information during transformation. A dimensionless coherence parameter Ωᴱ is introduced to quantify causal coherence per frame. The principle preserves informational closure without adding new physical parameters, bridging the mathematical environment of Addendum I with empirical interpretation and establishing the basis for later causal metrics.Clarification (Nov 2025):The sentence “The continuum remains closed only when all arrows complete without loss of coherence” describes the ideal vacuum-limit condition (Ωᴱ = 1).Later addenda (III–IV) extend this to operational closure, where realized efficiency ηₚ < Ωᴱ and information remains conserved.This note clarifies interpretation only; no theoretical or mathematical change is introduced.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-21
DOI
https://doi.org/10.5281/zenodo.17408331
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

EDOC Addendum II — Arrow and Carrier Principle

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

EDOC Addendum II — Arrow and Carrier Principle

article en

Abstract

This addendum extends the operator formalism defined in EDOC Addendum I by specifying the mechanism of informational transfer between causal operators E, D, O, and C. Each arrow (E → D → O → C → E) represents causality-in-motion and requires a carrier that conveys energy and information during transformation. A dimensionless coherence parameter Ωᴱ is introduced to quantify causal coherence per frame. The principle preserves informational closure without adding new physical parameters, bridging the mathematical environment of Addendum I with empirical interpretation and establishing the basis for later causal metrics.Clarification (Nov 2025):The sentence “The continuum remains closed only when all arrows complete without loss of coherence” describes the ideal vacuum-limit condition (Ωᴱ = 1).Later addenda (III–IV) extend this to operational closure, where realized efficiency ηₚ < Ωᴱ and information remains conserved.This note clarifies interpretation only; no theoretical or mathematical change is introduced.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 35%
Algebraic and Geometric Analysis
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