# Aspects of Gravitational Wave/Particle Duality: Bulk Torsion $\leftrightarrow$ Boundary Gravity Correspondence

## TL;DR

This paper explores a holographic correspondence between bulk geometric torsion and boundary non-perturbative gravity, revealing insights into quantum gravity, graviton dynamics, and gravitational wave/particle duality through detailed geometric and field analysis.

## Contribution

It introduces a novel holographic link between bulk geometric torsion and boundary non-perturbative gravity, with implications for quantum gravity and graviton behavior.

## Key findings

- Evidence of a holographic correspondence between bulk torsion and boundary gravity.
- Identification of NP gravity correction as a mass dipole sourced by propagating torsion.
- Analysis of gravitational wave/particle duality in non-perturbative gravity.

## Abstract

A geometric torsion (GT) underlying a $2$-form in a $(4$$+$$1)$-dimensional $U(1)$ gauge theory is revisited with a renewed perspective for a non-perturbation (NP) gravity in $d$$=$$4$. In the context we provide evidences to a holographic correspondence between a bulk GT and a boundary NP gravity. Interestingly the Killing symmetries in General Relativity (GR) are shown to provide a subtle clue to the quantum gravity. The NP gravity is shown to incorporate a $(B_{2}$$ \wedge $$F_{2})$ coupling, sourced by a non-Newtonian potential, to an exact geometry in GR. Remarkably the NP correction is identified as a mass dipole and is shown to be sourced by a propagating GT. A detailed analysis is performed in a bulk GT to show a modification to the precession of perihelion in a boundary NP gravity. The perspective of an electromagnetic (EM) wave in the bulk is investigated to reveal a spin $2$ (mass-less) quantum sourced by an apparent 2-form. A Goldstone scalar is absorbed by the apparent 2-form to describe a massive $2$-form in the coulomb gauge. Alternately a Goldstone scalar together with a local degree of GT and 2-form is argued to govern a composite (mass-less) spin $2$ particle in Lorentz gauge. Both the scenarios, further ensure a graviton in a boundary NP gravity. A qualitative analysis reveals a (non-interacting) graviton underlying a plausible gravitational wave/particle duality in NP gravity.