Dirac fields, scalar fields and Final state boundary condition of Black hole

TL;DR

This paper discusses the theoretical aspects of Dirac and scalar fields in black hole physics, focusing on the final state boundary condition, but it is currently withdrawn for revision due to an equation doubt.

Contribution

It aims to clarify the role of Dirac and scalar fields in black hole final state boundary conditions, offering insights into quantum field behavior near black holes.

Findings

Initial findings on field behavior are pending revision.

The paper addresses boundary conditions in black hole models.

Further analysis will refine the theoretical framework.

Abstract

We withdraw our paper for one doubt on one of equations .Due to this reason we will check again our calculation and replace the revised version of this paper.