Damghan University Press Journal of Holography Applications in Physics 2783-4778 5 3 2025 09 18 Analytic Continuation and Temporal Entanglement in Relativistic QFTs Emerging from Quantum Many-Body Systems 107 121 1897 10.22128/jhap.2025.3002.1125 EN Aram Bahroz Brzo Department of Physics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, IRAQ 0000-0002-1257-9377 Journal Article 2025 07 29 We reinterpret the recent prescription for temporal entanglement entropy via analytic continuation in holographic quantum field theories from the vantage point of emergent relativistic quantum field theories (QFTs) arising from quantum many-body systems. By framing this analytic continuation in terms of tensor network constructions and saddle point structures in holography, we identify the operational underpinnings that connect non-relativistic microscopic models to low-energy temporal entanglement phenomena. We provide a physical justification for complex extremal surfaces and elaborate on the non-commutativity of analytic continuation and saddle selection, supporting these insights with analogies to quantum spin chains and Gaussian states. Our analysis reveals that the geometrization of time in strongly correlated many-body systems is not merely formal but possesses physically interpretable manifestations rooted in UV/IR correspondence and tensor network dualities. https://jhap.du.ac.ir/article_1897_b86be9f3c1c28ee1c03257d1eae6c837.pdf