Interaction Between Quantum Mechanics And General Relativity Might Lead To Non-computable Processing In The Brain. James Tagg (Cengine; The Penrose Institute, La Jolla, United Kingdom) C14
Orch-OR proposes a model of information processing in the brain that involves both Quantum Mechanics and General Relativity. At present the scheme is described as a two-step process, a quantum computation followed by collapse of the wave function to a classical state resulting in action. The problem with this two-step description is that it is no more powerful than a Turing machine. The reason is simple. A measurement collapsing the state is entirely equivalent to the state collapsing and then being measured. But, it is likely the quantum and relativistic elements interact in a far more rich and granular manner. If we imagine a quantum computation with heavy qubits, the rules governing the collapse of the system, in particular the rate of collapse of any given part of the system, depends on the local flexure of spacetime for that part. For a single qubit in superposition of two states with equal energy, collapse depends simply on Eg. But for complex systems, collapse depends on the mass distribution of the combined state reaching threshold and this distribution is unknown until after collapse. According to OR the system will collapse but it is not clear how to implement an algorithm to calculate when each part collapses and once collapsed the qubits will rapidly re-enter entangled quantum states leading to a highly complex evolving system of mixed classical and quantum information. The system might be a non-computable process giving the brain a building block on which to base non-computable thought, place where non-computability, consciousness, insight and creativity may enter.