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The generator of time evolution — unitary, conserves the total
hamiltonian
H is Hermitian, so time evolution e^(-iHt/hbar) is unitary, and unitary evolution conserves total probability. The capstone's 'many potentials sum to one' is not just an instant - the Hamiltonian preserves it at every moment of the flow. The law that keeps the many adding to one, through time.
source
Narrow Highway — the Hamiltonian
card id
card_ham_generator
address
WIT.codex.FCT/the-generator-of-time-evolution-unitary-conserve/REF.WITNESSED@narrow-highway
adjoining cards
- part of → The Hamiltonian — the law of the flow — a pillar of the Hamiltonian (The generator of time evolution)
- connects at → The capstone — one source, many potentials, one end — the sum-to-one it preserves: Hermitian H -> unitary e^(-iHt/hbar) -> probability conserved
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