Mathematical proof of the Fisher-Escolà Q statistical distribution in quantum consciousness modeling.
Computational and structural biotechnology journal January 1, 2025 Álex Escolà-Gascón, Julián Benito-León 5 citations
A new statistical distribution, the Q of Fisher-Escolà, integrates quantum and classical probabilities to enable empirical testing of quantum theories of consciousness. Analyzing 150 density matrices of entangled states in a 10-qubit system on IBM quantum supercomputers, maximum likelihood estimation confirmed that the distribution follows a beta form. A novel analytical solution to the Quantum Fisher Information integral improved decoherence stability. Monte Carlo simulations established critical thresholds for significance levels; Type I errors occurred in 2-5% of right-tailed tests at α=0.05 and approached zero at stricter levels, while Type II errors in left-tailed tests were 1-4% at α=0.05 and also diminished. The framework enables hypothesis testing of quantum-classical interactions in consciousness research.