Modelling Microtubules in the Brain as n-qudit Quantum Hopfield Network and Beyond
arXiv Preprint Archive May 2, 2015 Dayal Pyari Srivastava, Vishal Sahni, Prem Saran Satsangi
This theoretical paper extends a prior quantum Hopfield neural network model of microtubules to n-dimensional quantum states (n-qudits), arguing that this higher-dimensional mathematical abstraction offers a more powerful framework for modeling consciousness. The authors review neurobiological evidence that the human brain's complexity—approximately 100 billion neurons forming a highly interconnected network—underpins a scientific approach to consciousness. They present Penrose-Hameroff Orch-OR Theory as a promising quantum theory of consciousness and build on Behrman et al.'s simplified model where tubulin dimers are represented as qubits. The proposed n-qudit extension, the authors contend, holds considerable promise for advancing mathematical abstraction in consciousness modeling.