Richardson G–Σ–P–L Subspace: A Local TWA Certification with Mapping and Falsifiable Testing
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2025
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| _version_ | 1866901197351288832 |
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| author | Richardson, William J. |
| author_facet | Richardson, William J. |
| contents | <p>This significant manuscript introduces a certified, two-engine pathway for ultrafast squeezing control that did not previously exist. A compact Hilbert baseline establishes a plateau contract and calibrates capsule-local allowances and guard bands; a Truncated Wigner Approximation (TWA) engine then executes production screening inside a fixed G–Σ–P–L “Richardson subspace” with replayable ledgering and drift-aware sentinels. Engine-invariant parity probes (odd/even Z-flip), disable-L, and a no-backflow slope sentinel enforce hygiene, while a parity-first triage separates structural failures from variance effects. The posture is short-side by construction—TWA cannot promote looser than Hilbert—so scaling never erodes falsifiability. A twelve-tile study shows cross-engine parity stability and confines disagreements to flatness under small ensembles, where the variance-suspect path (adaptive averaging or lower-variance observables) resolves false fails without creating false accepts.</p> <p>Historically, the work operationalizes the long-standing <strong>two Hilbert steps</strong> (zero-centered triads with reversible tokens, and preregistered acceptance lines) <strong>locally</strong> inside each capsule, paired with <strong>eight containment conditions (E1–E8)</strong> that pin constants, freeze run-uniques, enforce Σ-hygiene, gate geometry, separate no-backflow from oblique handoffs, drill independence (flip-only Z, disable-L), require a two-green admit, and log a replayable bundle under invalidate-off-plateau discipline. These elements—developed across the last 8–10 articles—make the Hilbert→TWA handoff practical and falsifiable at scale: a theory-clean Hilbert plateau becomes a portable certification protocol that runs on modest hardware, with subspace settings transferred as audited artifacts and safety guaranteed by short-side bounds.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17335717 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Richardson G–Σ–P–L Subspace: A Local TWA Certification with Mapping and Falsifiable Testing Richardson, William J. Richardson subspace Hilbert plateau contract Truncated Wigner Approximation G–Σ–P–L workflow Z-flip parity gates Two Hilbert steps (tokens, acceptance lines) Short-side safety Registrar-backed reproducibility Two step, E1-E8 Containment <p>This significant manuscript introduces a certified, two-engine pathway for ultrafast squeezing control that did not previously exist. A compact Hilbert baseline establishes a plateau contract and calibrates capsule-local allowances and guard bands; a Truncated Wigner Approximation (TWA) engine then executes production screening inside a fixed G–Σ–P–L “Richardson subspace” with replayable ledgering and drift-aware sentinels. Engine-invariant parity probes (odd/even Z-flip), disable-L, and a no-backflow slope sentinel enforce hygiene, while a parity-first triage separates structural failures from variance effects. The posture is short-side by construction—TWA cannot promote looser than Hilbert—so scaling never erodes falsifiability. A twelve-tile study shows cross-engine parity stability and confines disagreements to flatness under small ensembles, where the variance-suspect path (adaptive averaging or lower-variance observables) resolves false fails without creating false accepts.</p> <p>Historically, the work operationalizes the long-standing <strong>two Hilbert steps</strong> (zero-centered triads with reversible tokens, and preregistered acceptance lines) <strong>locally</strong> inside each capsule, paired with <strong>eight containment conditions (E1–E8)</strong> that pin constants, freeze run-uniques, enforce Σ-hygiene, gate geometry, separate no-backflow from oblique handoffs, drill independence (flip-only Z, disable-L), require a two-green admit, and log a replayable bundle under invalidate-off-plateau discipline. These elements—developed across the last 8–10 articles—make the Hilbert→TWA handoff practical and falsifiable at scale: a theory-clean Hilbert plateau becomes a portable certification protocol that runs on modest hardware, with subspace settings transferred as audited artifacts and safety guaranteed by short-side bounds.</p> |
| title | Richardson G–Σ–P–L Subspace: A Local TWA Certification with Mapping and Falsifiable Testing |
| topic | Richardson subspace Hilbert plateau contract Truncated Wigner Approximation G–Σ–P–L workflow Z-flip parity gates Two Hilbert steps (tokens, acceptance lines) Short-side safety Registrar-backed reproducibility Two step, E1-E8 Containment |
| url | https://doi.org/10.5281/zenodo.17335717 |