ZLT-P50H: The Molecular Motor Gate Problem — A Zero Leap Theory Prediction for Quantum Nanomotor Experiments in Living Systems

Abstract

This paper establishes Zero Leap Theory's first pre-registered, Grade-A-eligible prospective empirical test in a living quantum system. It provides a domain reduction mapping of RNA Polymerase (RNAP) single-molecule biophysics to ZLT quantum gate operators (P50D), and derives three falsifiable, ordinal predictions for quantum nanomotor experiments prior to publication of relevant experimental results. Two new measurable quantities are introduced: the Quantum Hysteresis Index (QHI), a proxy for the accumulated measurement-history operator H; and the Kinetic Asymmetry Signature (KAS), the observable distinguishing ZLT-predicted H-accumulation from standard decoherence. Analytical mapping of published RNAP motifs to canonical ZLT postulates is documented in Appendix A with explicit Grade B retroductive status. No new axioms are introduced; all formal machinery is inherited from ZLT-P50 and ZLT-P50D. V2.0 This paper establishes the first pre-registered prospective empirical test of Zero Leap Theory (ZLT) in a living molecular system under measurement-sensitive quantum-biological conditions. Building on ZLT-P50D (quantum gate operators), ZLT-P0C (non-commutativity of recovery phases), ZLT-P0D (Bath Operator axioms B0–B3), and ZLT-P50I (Structural Law of Intervention), we derive five falsifiable predictions for single-molecule RNA Polymerase (RNAP) experiments prior to publication of relevant results. Predictions P1–P3 concern measurement-history-dependent stall force (QHI > 0), kinetic asymmetry under sequential force ramps (KAS > 0), and non-compensability of measurement-accumulated degradation by NTP increase. Prediction P4 derives from P0C Theorem 4.1: the backtracking recovery sequence V₁⁻ → V₂⁻ is a structural necessity, not a contingent biological choice — reorganization under active load produces strictly worse recovery within the admissible state space of non-collapsed Φ. Prediction P5 derives from P0D Definition 2.1: the optical trapping laser must satisfy Bath Operator axioms B0–B3 during the recovery phase; each axiom violation predicts a specific P50I-class consequence profile (P₁, P₂, or P₃), with explicit dependence on the motor's H state. Appendix A provides retroductive Grade B alignment with published RNAP motifs. Appendix A.6 introduces a mutation-origin taxonomy classifying transcription errors under optical load into P50I consequence classes. Two new experimental proxies are introduced: the Quantum Hysteresis Index (QHI) and the Kinetic Asymmetry Signature (KAS). No new axioms are introduced; all machinery is inherited from P50, P50D, P0C, P0D, and P50I. v2.0 adds Predictions P4 and P5, Appendix A.6, and updated dependencies relative to v1.0. Keywords Zero Leap Theory, RNA Polymerase, molecular motors, quantum biology, single-molecule biophysics, measurement backaction, quantum hysteresis, non-compensability, pre-registration, prospective prediction, ZLT series