Eiji Konishi - Graduate School of Human and Environmental Studies, Kyoto University

In the Lorentzian classicalized holographic tensor network (cHTN), we derive its relativistic on-shell equation from its Lorentzian action in the presence of a relativistic massive particle in the bulk spacetime: -\sigma \hbar \theta=Mc^۲.Here, \sigma is the von Neumann entropy of the cHTN per site in nats, \theta is the real-proper-time expansion of the cHTN defined along the world line of the particle, and M is the non-zero mass of the particle.We explain the physical properties, interpretation, and consequences of this equation.Specifically, from this equation we derive the properties of the on-shell proper acceleration of another massive particle in the bulk spacetime as those of the gravitational acceleration induced by the original massive particle.

Holographic Principle, Quantum Entanglement, Holographic Tensor Network, Classicalization