Operator Closure · Paper 17

Paper 17 — The Modular Projection Theorem: Operator-Level Closure of the Gauge Thermal Transfer Principle via Shared Hilbert Space Construction and Fiberwise KMS Rigidity

A shared thermal-plus-gauge Hilbert space supports the thermal readout family; FIRAS fixes the unique observer-side normalization in current wording.

If the theory is correct, the math will just work.

Short form

Paper 17 — The Modular Projection Theorem

Upgrades the Gauge Thermal Transfer Principle to theorem status inside a shared thermal-plus-gauge Hilbert space. The paper constructs the A-vacuum GNS state, proves its modular properties, and derives the Modular Projection Theorem as an operator-level closure of the earlier transfer principle.