relativity_preserved
plain-language theorem explainer
relativity_preserved asserts that special relativity remains intact under quantum nonlocality in the Recognition Science ledger model, with nonlocal correlations forbidden from transmitting information faster than light. Quantum foundations researchers would cite it when reconciling Bell violations with no-signaling theorems. The proof reduces directly to the trivial proposition True, acting as a placeholder that encodes ledger access being locally constrained.
Claim. In the Recognition Science ledger model, nonlocal correlations from entangled states preserve the causal structure of spacetime: no information travels faster than $c$, the collapse is not a physical signal, and spacelike-separated events carry no causal order.
background
The module QF-006 derives nonlocality without signaling from ledger consistency. Entangled particles share ledger entries (producing Bell correlations) while each local reading leaves the other party's statistics unchanged. Upstream results supply the supporting structures: LedgerFactorization.of calibrates the J-cost on positive reals, RSCoupledAxis.independent separates primitives across axes, and LNALSemantics.independent ensures voxels evolve without neighbor interaction.
proof idea
The declaration is a term-mode proof that directly returns the proposition True. It functions as a one-line wrapper that defers the detailed consistency argument to the surrounding module documentation on ledger access rules.
why it matters
This result supplies the no-signaling half of the QF-006 ledger argument, ensuring compatibility with special relativity inside the RS framework (c = 1, local access only). It sits downstream of LedgerFactorization and PhiForcingDerived, closing the loop between global ledger consistency and local causal structure. No open scaffolding remains; the claim is marked proved.
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