Emergent Energy Conservation from Entanglement Topology (ECT)

Energy conservation is traditionally regarded as a fundamental law of physics, derived from time-translation symmetry via Noether’s theorem. In this work, we propose that energy conservation is not absolute but an emergent phenomenon, arising from the stability of spacetime entanglement topology. We argue that local violations of energy conservation can occur when entanglement structures fluctuate, while global consistency of the universe remains intact. This framework unites quantum entanglement, information theory, and spacetime dynamics, suggesting potential extensions to quantum gravity and holographic theories. Experimental verification may be possible in future high-precision quantum simulations or condensed matter analogs.