%0 Journal Article
%T On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network
%J Journal of Holography Applications in Physics
%I Damghan University Press
%Z 2783-4778
%A Konishi, Eiji
%D 2023
%\ 09/01/2023
%V 3
%N 3
%P 37-44
%! On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network
%K Holographic Principle
%K Quantum Entanglement
%K Holographic Tensor Network
%K Classicalization
%R 10.22128/jhap.2023.679.1052
%X 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: $-\sigma \hbar \theta=Mc^2$.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.
%U https://jhap.du.ac.ir/article_340_32d95622308c9d447e20d3a641a0def3.pdf