Current Research in Next Generation Materials Engineering
Quantum Coherence Mechanisms in Three-Component Graphene-DNA-Microtubule Biological Networks: Wave-Vector Matching and Frequency Resonance Analysis
Abstract
Chur Chin
We present a theoretical framework for quantum coherence in three-component biological systems consisting of graphene quantum sheets, DNA double helices, and microtubule networks. Through wave-vector matching analysis and dispersion relation calculations, we demonstrate that helical spatial periodicities of microtubules (≈8 nm pitch) and DNA (≈3.4 nm pitch) can achieve resonant coupling with graphene plasmon-polariton modes under specific doping conditions. Our model reveals multi-step energy cascade mechanisms spanning frequencies from 1011 to 1015 Hz, enabled by DNA as an intermediate quantum coherence medium. The system exhibits enhanced quantum information transfer through π-π stacking interactions, coherent energy transfer networks, and topological connectivity between nuclear and cytoplasmic compartments. We calculate binding energies of 0.1-0.5 eV per base pair for DNA-graphene hybridization and demonstrate quantum tunneling probabilities enhanced by 10-1000× over classical mechanisms. These findings suggest potential applications in quantum-enhanced biosensors, precision medicine, and biocomputing architectures. The three-component system represents a promising avenue for achieving measurable quantum effects in biological networks through evolutionarily optimized quantum-classical interfaces.