Where Polanyi Meets Galois: Tacit Knowing as an Algebro-Deterministic Operation, Toward Re-rooting AI-Generated Science

arXiv:2610.16102v3 Announce Type: replace-cross Abstract: Tacit knowing, we argue, is an operating regime of one memory substrate, not a separate kind of content. In VaCoAl, an algebro-deterministic hyperdimensional memory over $\mathrm{GF}(2)$ realized as CASRAM and PyVaCoAl, one DAG of bound records is read in two ways. With every collision repaired (Rescue), the trace is exactly auditable but no path outranks another; with collisions tolerated (Don't Care), a path-integrated confidence $\mathrm{CR}_2$ ranks direct over circuitous routes without being stated. This audit-valuation complementa

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