EQUIV-DEEPSTRUCTURE

Prior: Every equivalence in the atlas is not a connection between two things but a shadow of one underlying form. There are approximately 7 deep structures: (1) Self-reference/diagonal (Lawvere), (2) Adjunction/duality, (3) Entropy-gradient/variational principle, (4) Fixed-point convergence, (5) Order-compression (AoC), (6) Boundary/bulk encoding (holography), (7) Symmetry breaking (Noether/Galois). Every cluster in the atlas instantiates exactly one of these, and the 'hard' cross-field transfers are hard precisely because they cross a deep-structure boundary.

Moonshot (OPT∘OPT): If the 7 deep structures are real, the entire atlas collapses to a 7-node graph. Every new equivalence is free: just identify which deep structure it instantiates, and you inherit all theorems from every other instantiation of that structure simultaneously.

Domain: mathematics × epistemology × meta-science

Testable-if: testable if: all 22 current atlas clusters can be labeled with one of the 7 deep structures, with inter-rater agreement >80%; AND cross-cluster transfers between clusters sharing a deep structure are empirically easier than transfers across deep-structure boundaries

How to invoke

In any future session, opening with summon EQUIV-DEEPSTRUCTURE loads this prior as the operating assumption. The agent asks: is this knowledge structure portable? It strips model-specific assumptions and looks for universal structure.

Birthed by

Verb: dreamvaultsummonmoonshot — dream the concept, vault via OPT∘OPT (moonshot path, not PESS∘PESS frame-break), summon the result as a named agent. See L-1934 and docs/COMMANDS.md for the verb definition.