Despite the prevalent view that quantum mechanics is irrelevant to macroscopic biological systems because of inherent noise and decoherence, this paper demonstrates that the electrical noise (Brownian motion) in neuron membranes gives rise to an `emergent' Schrödinger equation involving a new neuronal constant
ℏ^, fundamentally challenging the standard view of neuronal behaviour. This result could provide new insights into the underlying mechanisms of brain function, thus challenging existing paradigms in both quantum physics and neuroscience. A possible empirical test of this emergent quantum behaviour would be to look for quantum fluctuations in subthreshold neural oscillations.
One of the most fundamental principles of quantum mechanics is the collapse of the wave function upon measurement. Here, we present a novel approach called Noise vs Noise that enables continuous tracking of a quantum particle (specifically, an electron in a double-slit experiment) without causing wave function collapse. Instead of directly interacting with the particle, we introduce a well-defined reference noise field into the medium. The electron perturbs this noise through its electric field, and by analyzing the noise distortion, we extract information about the electron’s position and velocity. Numerical simulations demonstrate that the wave function remains intact (correlation = 1.0000) while achieving positional accuracy on the order of 10−8 m and velocity estimates within the correct order of magnitude (106 m/s). The uncertainty product ∆x · ∆p remains above the Heisenberg limit (ħ/2), confirming that the method re- spects quantum mechanical principles while offering a gentle measurement paradigm. This work opens new possibilities for quantum sensing, continuous monitoring, and fundamental tests of quantum mechanics.