What question did this study set out to answer?

The central aim is to establish a non-circular mapping protocol between Riemann and Navier-Stokes lenses, focusing on audit-first principles.

March 2, 2026Open Access

Riemann–Navier Mapping Protocol v0.1 | Concept Lock (Audit-first / NO OVERCLAIM / Non-circular gate design)

Key Result

No clinical trial or clinical evidence is presented in this paper; it describes a methodological calibration protocol for a computational fluid dynamics mapping technique, not involving clinical endpoints or patient data.

Key Points

The central aim is to establish a non-circular mapping protocol between Riemann and Navier-Stokes lenses, focusing on audit-first principles.
Developed a primary module incorporating a Gate, Responsibility layer, and Audit state.
Defined crosspoint invariants for coherence and matching between both lenses.
Created a risk management system with a safety mechanism, ensuring instantiation integrity.
Does not provide a proof claim for results in number theory or fluid dynamics.
Avoids performance claims or clinical treatment recommendations.
Establishes mechanisms for ensuring audit integrity without calibration in the initial version.

Structured PICO

Population

Synthetic vessel generator spec (2D steady) for computational fluid dynamics (CFD)

Intervention

Riemann-Navier Mapping Protocol v0.3 (Calibration Entry)

Outcome

Selection of coh_min for the frozen coherence gate G_coh and PASS/FAIL/INCOMPLETE reporting posture

Establishes an audit-first, non-circular mapping protocol and calibration phase between Riemann-side and Navier-Stokes-side lenses using synthetic vessel CFD data.

Limitations

This document does not present or analyze clinical data or trial results.
Results pertain to calibration of computational parameters using synthetic datasets, not clinical populations.
No efficacy or safety outcomes are reported.
No patient inclusion/exclusion criteria or demographics are described.

Abstract

This record is a Concept Lock (v0. 1): it freezes a non-circular, audit-first mapping protocol betweena Riemann-side (spectral / oscillatory-superposition) lens and a Navier–Stokes-side (transport) lens. Scope (NO OVERCLAIM): - Not a proof claim (no RH claim; no Navier–Stokes regularity claim). - Not a performance claim. - Not clinical advice, patient-specific guidance, or treatment recommendations. - Not an equivalence claim between number theory and fluid dynamics. Dual-use boundary: NO military, NO surveillance, NO coercion. Frozen core (v0. 1): - Primary module: M2 (Gate + Responsibility layer + Audit state PASS, FAIL, INCOMPLETE). - Crosspoint invariants: Aᵢnv (Crosspoint A), Bᵢnv (Crosspoint B), and Cᵣule (matching). - Coherence gate: Gcoh using cohₛcore with named threshold cohₘin (definition-only; no calibration in v0. 1). - RISK-3 kill-switch: the SAME frozen M2 object must be instantiated on both sides. Files included: - Canonical text (ASCII): CONCEPTLOCKRiemann-NavierMappingProtocolᵥ0. 1ASCII. txt- View copy (PDF): CONCEPTLOCKRiemann-NavierMappingProtocolᵥ0. 1NatureStyleLiberationSans. pdf- Figure: FigCL1Riemann-NavierConceptLockMapᵥ1. 0. png- INSTALLME: INSTALLMERiemann-NavierMappingProtocolᵥ0. 1ConceptLockASCII. txt Template provenance: - QCRM v2 (Suga): 10. 5281/zenodo. 17816492 References: 1 QCRM v2: 10. 5281/zenodo. 178164922 Audit-First Haemodynamic Navier–Stokes CFD I (Route A): 10. 5281/zenodo. 187997283 GQMI: MedAI Trust-Graph (v0. 2. 3): 10. 5281/zenodo. 18757326

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Hisashi Suga

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Riemann–Navier Mapping Protocol v0.1 | Concept Lock (Audit-first / NO OVERCLAIM / Non-circular gate design)

Key Result

Key Points

Structured PICO

Limitations

Abstract

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Discussion

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