Feasibility of Observational Signatures for Dual Throat Wormholes Via Hawking-Radiation

Wormholes are governed by theoretical observations reliant on astrophysical signatures that distinguish them from other phenomena, such as black holes. This paper features the investigation of the thermodynamic evolution of a dual throat wormhole by examining the Hawking-like radiation via the emission from the wormhole’s inner (r-) and outer (r+) throats. This contention can be assessed through the lens of a modified version of the First Law of Thermodynamics, expressed as dE = T_dS_ + T+dS+ (Keathley, 2022); through this modified First Law of Thermodynamics, both the inner and outer throat’s thermodynamic systems can be accounted for. The initial part of the system represents the dynamical inner throat, while the second part of the system shows the outer throat’s thermodynamics. Therefore, we can proceed to calculate the temperature gradients and energy transmissions across the two distinct geometries recognized as the inner and outer throats. We can further analyze this thesis by evaluating a heuristic model of two scenarios: an expanding inner throat and a contracting outer throat. The quantitative observations reveal a stark thermodynamic phase transition. The collapse of a wormhole varies in temperature and thermodynamic energy exchange (∆E→0) as the spatial gap between the throats narrows. The equilibrium at the extremal limit, where r+=r-, effectively ceases all thermodynamic emission due to the wormhole collapsing. This study posits that the cessation of radiation has the capacity to serve as a distinct observational signature for a dual throat wormhole. By providing a clear differential idea between the dual throat spacetime and black hole evaporation, this investigation aims to demonstrate that thermodynamic limits offer a feasible and rigorous theoretical framework for future observational campaigns.