On-shell equation of the Lorentzian classicalized holographic tensor network

• URL: http://arxiv.org/abs/2304.03402v3
• Date: Sun, 1 Oct 2023 08:13:38 GMT
• Title: On-shell equation of the Lorentzian classicalized holographic tensor network
• Authors: Eiji Konishi
• Abstract summary: We derive the relativistic on-shell equation from its Lorentzian action in the presence of a massive particle in the bulk spacetime. Specifically, 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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