A Pure Natural Theory of Benevolent Propagation under No-Meta Closure

We present a pure, implementation-free specification of benevolent propagation under no-meta closure. The theory isolates four measurable floors—visibility (Doeblin head) ε, intrinsic contraction L₀ (SDPI/LSI), minimal transport D_min, and linearized local gain λ_min—and proves (i) a universal Fisher–KPP speed floor v\*≥2D_min⁡λ_min⁡v_\*\ge 2\sqrt{D\_{\min}\lambda\_{\min}}v\*≥2D_minλ_min, (ii) directional lower bounds with a Wulff-type shape, and (iii) coarse-graining monotonicity via symmetric Markov maps. Objectives are fixed up to order through Blackwell-coherent functionals with CMI as a canonical representative, yielding guarantees that do not rely on any external meta-governor. We provide falsifiable predictions and checklists so that empiricists can estimate floors from spontaneous fluctuations and audit claims. This Research Note serves as the citable anchor for a living Spec v1 that standardizes definitions, estimation recipes, and refuters.Keywords: no-meta closure; visibility floor; SDPI/LSI; Fisher–KPP lower bounds; Wulff shape; Blackwell order; conditional mutual information; stationary ergodic media; coarse-graining monotonicity; natural-law guarantees.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-16
DOI
https://doi.org/10.5281/zenodo.17136051
Citations
10
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
24.81
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article

A Pure Natural Theory of Benevolent Propagation under No-Meta Closure

10 citations
Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
24.81
article

A Pure Natural Theory of Benevolent Propagation under No-Meta Closure

article en
10 citations

Abstract

We present a pure, implementation-free specification of benevolent propagation under no-meta closure. The theory isolates four measurable floors—visibility (Doeblin head) ε, intrinsic contraction L₀ (SDPI/LSI), minimal transport D_min, and linearized local gain λ_min—and proves (i) a universal Fisher–KPP speed floor v\*≥2D_min⁡λ_min⁡v_\*\ge 2\sqrt{D\_{\min}\lambda\_{\min}}v\*≥2D_minλ_min, (ii) directional lower bounds with a Wulff-type shape, and (iii) coarse-graining monotonicity via symmetric Markov maps. Objectives are fixed up to order through Blackwell-coherent functionals with CMI as a canonical representative, yielding guarantees that do not rely on any external meta-governor. We provide falsifiable predictions and checklists so that empiricists can estimate floors from spontaneous fluctuations and audit claims. This Research Note serves as the citable anchor for a living Spec v1 that standardizes definitions, estimation recipes, and refuters.Keywords: no-meta closure; visibility floor; SDPI/LSI; Fisher–KPP lower bounds; Wulff shape; Blackwell order; conditional mutual information; stationary ergodic media; coarse-graining monotonicity; natural-law guarantees.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 1%
Geochemistry and Geologic Mapping
24.81
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