A Unifying Cross-Platform Protocol for Floquet Plateaus: R ≈ 1, Dual-Channel Co-Lock, and Falsifiable Tests

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Main Author: Richardson, William J.
Format: Recurso digital
Published: Zenodo 2025
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author Richardson, William J.
author_facet Richardson, William J.
contents <p>This work reports an operational, cross-platform protocol for reading a quantized plateau using a single measurable slope SSS and a single lock condition R≡D/O≈1R \equiv D/O \approx 1R≡D/O≈1. The method centers on a flat window (not a knife edge), maintains a periodic steady state with an open Floquet gap, and requires broken time-reversal symmetry. A tiny magnetic-field dither yields S; a tiny drive dither provides an odd centering signal. A dual-channel co-lock with a power-flow marker (P_pump) enforces matching onset, hysteresis, and discrete jumps at gap closure. Acceptance lines demand plateau flatness within 2%, an odd component near zero at the center, an open gap proxy, sign reversal under chirality or B-flip, and protocol invariance. Hall is the reference platform with published defaults, and the same grammar applies to optics and cold atoms. A probability-gate controller (SPRT/CUSUM options) automates centering and drift handling under thermal guardrails. The approach is falsifiable and reproducible: it supplies explicit tests, co-locking, and reporting rules, and can be used without committing to any specific theoretical derivation.</p>
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publishDate 2025
publisher Zenodo
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spellingShingle A Unifying Cross-Platform Protocol for Floquet Plateaus: R ≈ 1, Dual-Channel Co-Lock, and Falsifiable Tests
Richardson, William J.
Quantized plateau
Floquet topology
Streda relation
Orbital magnetization slope
Containment (R=D/O≈1)
Probability gate control
Dual-channel co-lock
Power-flow marker
Hall reference defaults
Falsifiable test
<p>This work reports an operational, cross-platform protocol for reading a quantized plateau using a single measurable slope SSS and a single lock condition R≡D/O≈1R \equiv D/O \approx 1R≡D/O≈1. The method centers on a flat window (not a knife edge), maintains a periodic steady state with an open Floquet gap, and requires broken time-reversal symmetry. A tiny magnetic-field dither yields S; a tiny drive dither provides an odd centering signal. A dual-channel co-lock with a power-flow marker (P_pump) enforces matching onset, hysteresis, and discrete jumps at gap closure. Acceptance lines demand plateau flatness within 2%, an odd component near zero at the center, an open gap proxy, sign reversal under chirality or B-flip, and protocol invariance. Hall is the reference platform with published defaults, and the same grammar applies to optics and cold atoms. A probability-gate controller (SPRT/CUSUM options) automates centering and drift handling under thermal guardrails. The approach is falsifiable and reproducible: it supplies explicit tests, co-locking, and reporting rules, and can be used without committing to any specific theoretical derivation.</p>
title A Unifying Cross-Platform Protocol for Floquet Plateaus: R ≈ 1, Dual-Channel Co-Lock, and Falsifiable Tests
topic Quantized plateau
Floquet topology
Streda relation
Orbital magnetization slope
Containment (R=D/O≈1)
Probability gate control
Dual-channel co-lock
Power-flow marker
Hall reference defaults
Falsifiable test
url https://doi.org/10.5281/zenodo.17162227