Geometric Quantum Coherence Protection inFibonacci-Structured Microtubules: A Quantum Solution tothe Cognitive Paradox of Acute HIV-associatedNeuroinflammation
HIV-associated neurocognitive disorder (HAND) presents a fundamental paradox: patients maintain cognitive function during acute infection despite cytokine storms that meet sepsis criteria. Through computational modeling of quantum coherence in neural microtubules during HIV-induced neuroinflammation, we discovered that Fibonacci scaled microtubular architectures maintain quantum coherence up to 104-fold longer than regular structures through geometric optimization. This protection mechanism operates through resonant coupling at the golden ratio ({varphi} = 1.618), achieving 74.4% efficiency in preserving quantum information. Using five complementary computational models validated against recent experimental quantum data, we demonstrate: (1) power law decay (exponent = -1.015) in Fibonacci structures versus near-exponential collapse ( = -10.102) in regular grids; (2) quantum sanctuary formation at t = 0.6 time units creating coherence-preserving boundaries; (3) precise mathematical optimization at {varphi} = 1.618033988749895; (4) temperature resilience maintaining function during HIV-associated fever; (5) strong correlations with clinical neuroimaging (r = 0.74 - 0.82, p < 0.001). Monte Carlo analysis (n = 50) confirmed the probability 100% of sanctuary formation during acute inflammation above 38.5 C. These findings resolve the cognitive paradox of HAND by revealing how geometric structure enables preservation of quantum information despite extreme perturbation, suggesting novel therapeutic targets and establishing new principles for quantum biology and bioinspired quantum technologies.