Dynamical emergence of Markovianity in local time scheme

What is it about?

Markovian dynamics is at the core of open quantum systems dynamics. It's a landmark for the more general kinds and types of dynamics of interest for the transition from quantum to classical. Here we derive Markovianity within the novel so-called Local Time Scheme (LTS). LTS introduces a fresh foundation for quantum theory that rejects the standard, global (universal) time in every reference frame.

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Why is it important?

In a minimalist fashion, we derive certain results of the foundational importance in quantum theory. Notably: (i) dynamical map imposed by LTS is very special and presented for the first time; (ii) exact dynamical map is non-Markovian; (iii) approximate map is Markovian and implies the time-coarse-grained dynamics (a la the famous Born approximation); (iv) derives the famous von Neumann-Luders formula; (v) provides faster 'relaxation' for smaller open systems; (vi) reproduces some basic results of the standard open systems theory; (vii) fulfills some cosmological programs etc.

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