← NS-RMRM / RMRM-01 · Reverse Mathematician Research Matrix as a Research Router

excerpted from checkpoint v55 · Part III framework definition 2026-08-17

RMRM-01: Reverse Mathematician Research Matrix as a Research Router

Reverse-engineered Mathematician Research Matrix as a Research Router

RMRM's goal is not to imitate mathematician personalities, but to decompose exceptional mathematical research methods into composable, routable, verifiable research operators: the current framework contains 11 cognitive primitives, 38 operators, and 28 dynamics, plus 10 phase-aware mathematician-fingerprint modes — Tao (Obstruction), Grothendieck (Relational Structure), Ramanujan (Result Seed), Erdős (Problem/Obligation), Thurston (Manipulable Understanding), Mirzakhani (Global Law/Research Hub), Gowers (Diagnostic Research State), Bourgain (Quantitative Interface), Perelman (Closure-Bearing Structure), Noether (Structural Carrier/Theorem Architecture). Core thesis: a true composite mathematician is not a static stack of "Tao+Noether+Perelman," but a research-state-dependent dynamic routing (Problem State → matching methodology → new state → re-route), formalized as a research-action value function J(a|S_t) = α·G_closure + β·Δ_frontier + γ·G_transfer − λ·ΔV − μ·C_correlation, giving a selection rule a*_t = argmax_a J(a|S_t) for "which mathematician mode to use" at each step.

This round is not an independent NS attack result — it is the research methodology itself: the definition, within the 52-version checkpoint process document, of the routing framework bridging MORP's (Cycle VII) close and DCRP's (Cycle VIII) attack. The document itself, immediately after introducing RMRM (from Part IV on), uses it to launch the first round of a "Composite-Mathematician NS attack," whose output evolves version by version into the formally published NS-DCRP series. — see the NS-RMRM hub for the full disclosure.

Connections

Relationship to the rest of the document, stated as closely as possible in its own words, not my interpretation.

BeforeParts I-II: a compressed review of Cycles I-VII (CSP/DRC/ANP/CFOP/FCBP/MORP, each already built)
AfterFrom Part IV on: RMRM launches the UV-route attack, evolving version by version into NS-DCRP
NS-RMRM progress1 / 1 (the framework definition itself; the rest is process journal — see the hub disclosure)

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