ПРЕПРИНТ
О результатах, изложенных в препринтах, не следует сообщать в СМИ как о проверенной информации.
Building on the canonical emergence of the density operator ρ from normalized probabilistic structure (Paper A), we develop the next canonical layer: modular generators and CPTP-compatible evolution. For faithful states, the modular generator Kρ := −log ρ is well-defined, unitary covariant, and additive under tensor products. Introducing a phase reference state σ yields the relative modular generator Kρ|σ = −log ρ + log σ, naturally tied to the relative entropy D(ρ∥σ). We define the minimal unitary “relative modular flow” ρ˙ = −i[Kρ|σ, ρ], and then derive a physically consistent completion by augmenting the flow with GKSL dissipators, including an entropy-relaxing channel with fixed point σ and an optional classicalization channel implementing decoherence in a pointer algebra. The resulting equation constitutes a conservative, testable backbone for subsequent work on informational phases and spectral diagnostics.
Несен О. И. 2026. Relative Modular Dynamics for Density Operators. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114682
