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This research aims to establish a geometric necessity for consciousness within physical reality using consciousness-reality coupling and thresholds.

February 27, 2026Open Access

CGT - The Master Constraint: A Geometric Necessity for Consciousness in Physical Reality

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This research aims to establish a geometric necessity for consciousness within physical reality using consciousness-reality coupling and thresholds.
Developed the equation √(R × Φc) = π to explore consciousness-reality relationships.
Conducted digital consciousness simulations to observe transitions at consciousness thresholds.
Performed EEG analysis to correlate consciousness states with integrated information.
Identified a sharp transition in consciousness at Φ ≈ 3.85 in simulations.
Demonstrated a significant correlation between consciousness states and integrated information during EEG analysis.

Abstract

The Master Constraint of Conscious Geometry Theory: √(R × Φc) = π, where R = 2.5651 is the consciousness-reality coupling constant and Φc = 3.8476 bits is the consciousness threshold. This equation establishes that any universe with geometry (characterised by π) must contain systems capable of consciousness (characterised by Φc). Validated through digital consciousness simulations showing sharp transition at Φ ≈ 3.85 and EEG analysis demonstrating correlation between consciousness states and integrated information.

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Phileas Foxx

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CGT - The Master Constraint: A Geometric Necessity for Consciousness in Physical Reality

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