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Research . 2026
Data sources: Datacite
ZENODO
Research . 2026
Data sources: Datacite
ZENODO
Research . 2026
Data sources: Datacite
ZENODO
Research . 2026
Data sources: Datacite
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CF04: Complete Formalism — Telegraph-Fisher Causality (Finite-Speed Transport)

Authors: Lietz, Justin;

CF04: Complete Formalism — Telegraph-Fisher Causality (Finite-Speed Transport)

Abstract

Parabolic diffusion models imply instantaneous propagation: any localized perturbationproduces nonzero tails everywhere for all t > 0. In the Void Dynamics Model (VDM) thisviolates the axiom-level locality/causality requirement (VDM-A-2). This CF derives afinite-speed closure by combining a continuity law with a flux relaxation (Cattaneo–Vernotte)constitutive relation. The resulting telegrapher equation is hyperbolic with characteristicspeed c =√D/τ , recovering diffusion in the limit τ → 0 while enforcing a sharp domain ofdependence for compactly supported initial data. We extend the closure to reaction–transportby introducing a logistic source (telegraph–Fisher/KPP), summarize the known minimumfront-speed law and its diffusive limit, and specify decisive falsifiers as VDM validation gates(support growth, dispersion fit, and front-speed scaling across a τ sweep). Finally, we discussan epistemic causality interpretation: bounded Fisher information limits resolvable gradientsand motivates finite-speed transport as a measurable information-flow constraint.

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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
Average
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