Unitary symmetries in wormhole geometry and its thermodynamics

Abstract

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