Temporal Completability: Cross-Domain Empirical Validation of a Trichotomous Framework for Temporal Organization

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Main Author: Close, Larsen James
Format: Recurso digital
Language:English
Published: Zenodo 2026
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author Close, Larsen James
author_facet Close, Larsen James
contents <p>Physical systems exhibit qualitatively different modes of temporal organization — crystals persist without change, orbits recur without novelty, living systems generate new possibility through local completion — yet no unified framework classifies these modes or predicts their empirical signatures. This paper proposes the temporal completability trichotomy (terminal, cyclical, graceful) and tests it across six independent domains: quantum echo protocols (8- and 12-qubit simulations), global shear-wave tomography, asteroseismology (7 Kepler targets + 6,562 APOKASC-2 red giants), the geological mineral archive, anthropogenic material species, and 2D resistive MHD plasma reconnection. All eight experiments pass pre-specified success criteria with zero kill conditions triggered. Class separation reaches 4.8× in the quantum domain (improving with system size), Spearman ρ = 0.9996 across the stellar population, and CV = 0.08% for the MHD plasmoid cascade — the cleanest graceful signature in the program. A null-model battery partially falsifies the scale-free boundary claim at the core-mantle boundary, defining a boundary of applicability. These results constitute the first cross-domain empirical evidence that temporal organizational classes are physically real, sharp-boundaried, and detectable across scales from quantum circuits to planetary geology to classical plasmas.</p>
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publishDate 2026
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record_format zenodo
spellingShingle Temporal Completability: Cross-Domain Empirical Validation of a Trichotomous Framework for Temporal Organization
Close, Larsen James
temporal organization
completability
trichotomy
phase classification
perturbation-recovery
Loschmidt echo
discrete time crystal
soliton
asteroseismology
mineral evolution
MHD reconnection
plasmoid cascade
cross-domain validation
scale-free boundaries
consequence chains
<p>Physical systems exhibit qualitatively different modes of temporal organization — crystals persist without change, orbits recur without novelty, living systems generate new possibility through local completion — yet no unified framework classifies these modes or predicts their empirical signatures. This paper proposes the temporal completability trichotomy (terminal, cyclical, graceful) and tests it across six independent domains: quantum echo protocols (8- and 12-qubit simulations), global shear-wave tomography, asteroseismology (7 Kepler targets + 6,562 APOKASC-2 red giants), the geological mineral archive, anthropogenic material species, and 2D resistive MHD plasma reconnection. All eight experiments pass pre-specified success criteria with zero kill conditions triggered. Class separation reaches 4.8× in the quantum domain (improving with system size), Spearman ρ = 0.9996 across the stellar population, and CV = 0.08% for the MHD plasmoid cascade — the cleanest graceful signature in the program. A null-model battery partially falsifies the scale-free boundary claim at the core-mantle boundary, defining a boundary of applicability. These results constitute the first cross-domain empirical evidence that temporal organizational classes are physically real, sharp-boundaried, and detectable across scales from quantum circuits to planetary geology to classical plasmas.</p>
title Temporal Completability: Cross-Domain Empirical Validation of a Trichotomous Framework for Temporal Organization
topic temporal organization
completability
trichotomy
phase classification
perturbation-recovery
Loschmidt echo
discrete time crystal
soliton
asteroseismology
mineral evolution
MHD reconnection
plasmoid cascade
cross-domain validation
scale-free boundaries
consequence chains
url https://doi.org/10.5281/zenodo.18692171