implications
plain-language theorem explainer
This definition enumerates four implications of the nonlocality-without-signaling result obtained from ledger consistency in Recognition Science. A researcher examining quantum foundations or information-theoretic constraints would cite the list when summarizing how global accounting coexists with local causality. The content is supplied as a direct static enumeration of consequences drawn from the module documentation.
Claim. The nonlocality-without-signaling result implies that quantum cryptography is possible (BB84, E91), entanglement functions as a resource that cannot be cloned or shared, the structure of causality is fundamental, and information is intertwined with physics. In Recognition Science the ledger supplies global consistency while local access rules prevent signaling.
background
Module QF-006 resolves the quantum paradox of Bell-violating nonlocal correlations that nevertheless forbid faster-than-light signaling. The resolution rests on ledger consistency: entangled particles share ledger entries (producing nonlocality) while a local reading leaves the distant entry unchanged (producing no signaling). Upstream ledger constructions, including edge-length definitions from psi and mechanism-design structures, supply the combinatorial substrate on which this consistency is maintained.
proof idea
The definition directly constructs a four-element list of strings. No lemmas or tactics are applied; the body is a literal enumeration that records the consequences already stated in the module documentation.
why it matters
The definition supplies a compact summary of consequences within the Recognition Science ledger model, directly supporting the QF-006 target of reconciling nonlocality with causality. It reinforces the global-accounting aspect of the framework without invoking the forcing-chain steps T5-T8 or the Recognition Composition Law. The entry leaves open the explicit mapping of ledger entries onto the phi-ladder for quantum states.
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