The classical-quantum hybrid canonical dynamics and its difficulties with special and general relativity
arxiv(2024)
摘要
We discuss the Hamiltonian hybrid coupling between a classical and a quantum
subsystem. If applicable to classical gravity coupled to quantized matter, this
hybrid theory might realize a captivating `postquantum' alternative to full
quantum-gravity. We summarize the nonrelativistic hybrid dynamics in improved
formalism adequate to Hamiltonian systems. The mandatory decoherence and
diffusion terms become divergent in special and general relativistic
extensions. It is not yet known if any renormalization method might reconcile
Markovian decoherence and diffusion with relativity. Postquantum gravity could
previously only be realized in the Newtonian approximation. We argue that
pending problems of the recently proposed general relativistic postquantum
theory will not be solved if Markovian diffusion/decoherence are truly
incompatible with relativity.
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