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.
Konishi, E. (2023). On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network. Journal of Holography Applications in Physics, 3(3), 37-44. doi: 10.22128/jhap.2023.679.1052
MLA
Eiji Konishi. "On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network". Journal of Holography Applications in Physics, 3, 3, 2023, 37-44. doi: 10.22128/jhap.2023.679.1052
HARVARD
Konishi, E. (2023). 'On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network', Journal of Holography Applications in Physics, 3(3), pp. 37-44. doi: 10.22128/jhap.2023.679.1052
VANCOUVER
Konishi, E. On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network. Journal of Holography Applications in Physics, 2023; 3(3): 37-44. doi: 10.22128/jhap.2023.679.1052
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