Self-survival of Quantum Vibrations of a Tubulin Protein and Microtubule: Quantum Conductance and Quantum Capacitance

Quantum capacitance and quantum inductance, two well-known signatures of quantum properties detect here subtle changes in the resonance frequencies as instant quantum markers of cancerous mutation of proteins. We find that any quantum property that is destroyed by measurement is true only if singular wave function is measured. Here, as we image the three magnetic wave functions of a protein complex, in three layers of Schrödinger’s wave functions packed one inside another, we find their geometric phase (Zak phase) rebuilds each other from nano-to-micro scale. Using the difference signal between magnetic and thermal nano-sensors located closely at the atomic edge of a probe, our interference-based sensing mapped cancerous microtubule’s local structural changes at the very onset of cancer in the noisy environments.