2025/10/23 by Nitesh K. Dubey, Dubey, Nitesh K., Jaswanth Uppalapati +4
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories
paper · pdf · doi:10.1103/jygq-w4kb
We study successive Rindler-like transformations in Minkowski spacetime and the corresponding sequence of vacuum states perceived by observers restricted to respective wedges. Extending the standard Rindler construction to an n-fold iteration, we find via Bogoliubov transformations that the vacuum of the (n-1)th Rindler observer appears thermal to the nth one. The characteristic trajectories, confined to nested wedges, exhibit characteristic accelerations and horizon shifts depending on transformation parameters g1, g2, …, gn. For the second-level transformation (Rindler Rindler case), the late time acceleration asymptotically approaches 2g2 for one branch and diverges for the other. We study Minkowski, Rindler, and Rindler Rindler vacuum states from the perspective of Unruh DeWitt (UDW) detectors along inertial, Rindler, and Rindler--Rindler trajectories. The response of the UDW detector coupled to a real massless scalar field confirms the thermality: the transition rate of Rindler--Rindler observer in Minkowski vacuum matches that of a standard Rindler detector with acceleration 2g2, yielding a Planckian spectrum at late times. The conclusions are discussed.