Unitary symmetries in wormhole geometry and its thermodynamics

TL;DR

This paper explores how unitary symmetries arise from wormhole geometries via complexification, develops quantum tunneling to make wormholes traversable, and derives related thermodynamics.

Contribution

It introduces a geometric origin of $U(1)$ and $SU(2)$ symmetries in wormholes and connects quantum tunneling with wormhole thermodynamics.

Findings

Unitary symmetries originate from wormhole geometries.

Quantum tunneling renders wormholes traversable.

Wormhole thermodynamics is established.

Abstract

From a geometric point of view, we show that the unitary symmetries $U(1)$ and $SU(2)$ stem fundamentally from Schwarzschild and Reissner-Nordstr\"om wormhole geometry through spacetime complexification. Then, we develop quantum tunneling which makes these wormholes traversable for particles. Finally, this leads to wormhole thermodynamics.