2026-10-14T07:24:45Z https://api.figshare.com/v2/oai

oai:figshare.com:article/34001556 2026-09-25T23:03:38Z category_30154 item_type_3 month_year_09_2026

Prospective Protocol: Zero-Drive Critical-Margin Exponent and Dynamical Marginality Test in Canonical ACRF-4 EUGENE CATRAMBONE (24756637) Classical physics not elsewhere classified Registration Theory <p dir="ltr">This public timestamp freezes a prospective computational protocol for a zero-drive critical-margin test in canonical ACRF-4 within Registration Theory (Physical Foundations). </p><p dir="ltr">A preceding prospectively registered long-horizon experiment (protocol DOI 10.6084/m9.figshare.34001022) found a statistically significant analyzer-dependent first-capture signal but did not reproduce the sharp Born-frequency law. Over the measured positive-coupling range W=0.015 to 0.075, the analyzer signal grew much more nearly linearly with W than quadratically. </p><p dir="ltr">The present protocol tests a specific proposed mechanism for that behavior. Every fixed canonical trajectory has an even analytic scalar response beginning at O(W^2). However, if the dynamically generated first-passage boundary has a quadratic fold, a near-threshold cumulative margin law F(epsilon) proportional to epsilon^(1/2) can convert the microscopic W^2 perturbation into an ensemble response proportional to |W|. </p><p dir="ltr">The registered experiment therefore uses W=0 only and measures the survivor margin q_H = 1 - max Lambda_n over complete successors n=1,...,H at H=8, 32, 128, and 512. The primary horizon is H=128. The primary exponent is fitted prospectively over 5e-4 <= epsilon <= 1e-2 with a fixed 25-point logarithmic grid and 5,000 bootstrap replicates. The experiment also tracks p_S and m_S at maximum Lambda to test whether near-margin trajectories concentrate toward the native marginal point p*=1.20, m=0. </p><p dir="ltr">The exact executable script is included and frozen at SHA-256: ac8aa2fa05085e0dced85f343025475722aa14675424bbff674eff80eebd23f4 </p><p dir="ltr">The script has not been executed for the registered experiment before this public timestamp.</p><p dir="ltr"> Canonical theory name: Registration Theory (Physical Foundations).</p> 2026-09-25T23:03:38Z Dataset Dataset 10.6084/m9.figshare.34001556.v1 https://figshare.com/articles/dataset/Prospective_Protocol_Zero-Drive_Critical-Margin_Exponent_and_Dynamical_Marginality_Test_in_Canonical_ACRF-4/34001556 CC BY 4.0