<ul><li>The combination of unitary Schrödinger evolution with a system — bath model leads to decoherence, einselection, and envariance, resulting in the Born rule for branch weights in the Many-Worlds Interpretation.</li><li>A derivation using the Caldeira — Leggett model shows the exponential suppression of off‐diagonal terms, the emergence of pointer states defining Everettian branches, and the satisfaction of the Born rule for branch weights.</li><li>Decoherence in a quantum particle coupled to harmonic oscillators exhibits rapid suppression of off-diagonal elements, leading to the vanishing of coherence between spatially distinct states.</li><li>Pointer-state selection via einselection emphasizes that only states diagonalizing the interaction Hamiltonian remain robust, leading to the formation of localized position basis for classicality.</li></ul>

Decoherence and Everettian Branching: A Rigorous Treatment in the Caldeira — Leggett Model

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