Submissions from Daisuke Tomita

[1]  faKiv:2405.08527 [pdf]

Holography and holographic dualities

Daisuke Tomita, M. A. Sadik-Moghaddam

Comments: 24 pages, 9 figures, v2: references added; v3: new table and references, to appear in PRD

We study holographic dualities between two-dimensional quantum chaotic systems. We first identify a class of dualities based on the relaxation of the entanglement entropy of the St\"uckelberg waveform, and discuss their properties. When the entanglement entropy is fully relaxed, the boundary state is said to be a holographic duality. We then argue that a class of dualities can be solved simply by finding the boundary states of the holographic duals. We show that a class of such dualities can be solved by rearranging the entanglement entropy. We explain how this is done by using an example of the holographic duality between two-dimensional quantum chaos. We then show that a class of dualities between two-dimensional quantum chaos can be solved by the determination of the partition function of the holographic duals. We argue that a class of such dualities can be solved by the partition function of the holographic duals.

[2]  faKiv:2405.08611 [pdf]

Hidden forces in the Big-Bang model

Andrey Borov, Daisuke Tomita

Comments: 7 pages, 5 figures, 2 tables. Version to appear in Phys. Rev. D

We construct the Big-Bang model with the Hidden Forces model. We argue that the Big-Bang model provides a natural background to test the hidden forces models in the face of Big-Bang constraints. We show that the Hidden Forces model predicts the existence of the Big-Bang force in the Big-Bang model.