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Main Author: Sarnowski, Michael
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.18206129
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author Sarnowski, Michael
author_facet Sarnowski, Michael
contents <p>Paper T15C defines a stability-grade, frequency-dependent detectability criterion in the locked Holosphere Lattice Engine (HLE v1). Instead of treating success as a single “any-site hit,” T15C requires distributed sustained detection: a declared fraction of detector sites must sustain amplitude above a declared threshold for at least <span><span>mm</span><span><span><span>m</span></span></span></span> consecutive steps. On a declared frequency grid, the governed outcome is not a single cutoff frequency but an <span><span>ω\omega</span><span><span><span>ω</span></span></span></span>-localized notch spectrum—discrete bands where distributed persistence fails even while any-site sustained hits remain present. This shows that frequency acts as a compatibility selector that redistributes persistence across the detector population in a banded, non-monotone way. T15C locks this observer-facing stability object on declared grids and pairs it with corridor-internal strain-budget diagnostics (from T15B) as the mechanistic substrate for explaining why notches occur, without modifying engine semantics or permitting interpolation or post hoc tuning.</p>
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spellingShingle Paper T15C: Frequency-Dependent Coherence notches in HLE v1 Stability-Grade Sustained-Hit Governance and Grid-Defined KPIs
Sarnowski, Michael
<p>Paper T15C defines a stability-grade, frequency-dependent detectability criterion in the locked Holosphere Lattice Engine (HLE v1). Instead of treating success as a single “any-site hit,” T15C requires distributed sustained detection: a declared fraction of detector sites must sustain amplitude above a declared threshold for at least <span><span>mm</span><span><span><span>m</span></span></span></span> consecutive steps. On a declared frequency grid, the governed outcome is not a single cutoff frequency but an <span><span>ω\omega</span><span><span><span>ω</span></span></span></span>-localized notch spectrum—discrete bands where distributed persistence fails even while any-site sustained hits remain present. This shows that frequency acts as a compatibility selector that redistributes persistence across the detector population in a banded, non-monotone way. T15C locks this observer-facing stability object on declared grids and pairs it with corridor-internal strain-budget diagnostics (from T15B) as the mechanistic substrate for explaining why notches occur, without modifying engine semantics or permitting interpolation or post hoc tuning.</p>
title Paper T15C: Frequency-Dependent Coherence notches in HLE v1 Stability-Grade Sustained-Hit Governance and Grid-Defined KPIs
url https://doi.org/10.5281/zenodo.18206129