On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network - INSPIRE

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On-shell Equation of the Lorentzian Classicalized Holographic Tensor Network

Eiji Konishi
(
- Kyoto U., HES Grad. Sch.
)

Apr 6, 2023

7 pages

Published in:

JHAP 3 (2023) 3, 37-44

Published: Sep 1, 2023

e-Print:

2304.03402 [hep-th]

DOI:

10.22128/jhap.2023.679.1052,
10.22128/JHAP.2023.679.1052 (publication)

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Abstract: (Damghan 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^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.

Note:

7 pages, latex, published version

Holographic Principle
Quantum Entanglement
Holographic Tensor Network
Classicalization
network: tensor
entropy: von Neumann
particle: massive
holography
space-time
Lorentz

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