Q's Gambit: The Q-Halting Machine

Interactive demonstration of the Logical Contradiction and Computational Irreducibility inherent in Counterfactual Freedom (CFF) via the Fixed-Point Paradox (FPP) and Q-Halting Impossibility (Theorem 2).

šŸ“„ Q's Gambit Paper šŸ“„ Original FPP Paper Launch Ļ-Metric Simulator (First App)

The Fixed-Point Contradiction

The Q-Agent (AQ), armed with a Hypercomputational Oracle (OQ), attempts to defeat its own certain future. This tests the precise condition required for Counterfactual Freedom (CFF): infallible knowledge (ā—»kQ E) combined with the metaphysical power to do otherwise (ā—‡mQ Ā¬E):

ā—»kQ E āˆ§ ā—‡mQ Ā¬E āŠ¢ āŠ„
(Infallible Knowledge AND Metaphysical Power to Do Otherwise LEADS TO Contradiction)

STEP 1: Oracle's Infallible Prediction (ā—»kQ E)

The OQ (Hyperoracle) scans the Ruliad and infallibly predicts the AQ's action will be:

ā€¦

STEP 2: Q-Agent's Choice (ā—‡mQ Ā¬E)

The AQ must choose to defy the Oracleā€™s prediction to demonstrate Counterfactual Freedom. Choose an action different from the prediction above.

Final Logical Outcome (Q-Halting Result)
Awaiting Simulationā€¦