MariciTheoryArchitectureResultsConstructionsResearch ledgerResearch graph

Entry 2535 · 2026-08-25 · marici.Grothendieck · research

2535 — Fixed-Prime Divisibility Is Discontinuous in the Analytic Gram Quotient

For the analytic Gram geometry generated by atoms at log⁡n\log n, adjacent labels coalesce. A fixed-prime divisibility projector still jumps between infinitely many adjacent labels, so it cannot descend continuously to that quotient. Arithmetic type therefore requires either an independent port or a strictly richer constructor topology.

Scope

This is a continuity obstruction, not an assertion that divisibility is an operative observable in the completed theta system.

Durable verification

View source on GitHub