anti_zeno_effect
plain-language theorem explainer
Frequent measurements accelerate decay in certain quantum systems when the spectral density permits an increase in the decay rate upon observation. Researchers modeling quantum transitions under continuous monitoring in Recognition Science would cite this when mapping the boundary between suppression and enhancement regimes. The proof reduces directly to the trivial proposition.
Claim. In quantum systems governed by ledger actualization, there exist regimes where the transition probability increases with measurement frequency when the spectral density allows the decay rate to rise upon observation.
background
The module derives the quantum Zeno effect from ledger actualization, where each measurement commits a ledger entry that resets the state and suppresses transitions, yielding final probability approaching zero as the number of measurements grows. The complementary anti-Zeno regime occurs when spectral density causes decay to accelerate with observation. Upstream results include the definition of interval width as the difference between upper and lower bounds, density as successive powers of the golden ratio, and an explicit log-derivative bound that supplies an angular Lipschitz constant on the circle.
proof idea
The proof is a one-line term reduction to the trivial proposition.
why it matters
This declaration supplies the anti-Zeno counterpart within the QF-010 derivation of Zeno phenomena from Recognition Science ledger structure, complementing the standard suppression case. It underscores the role of spectral width in determining the crossover between the two regimes. The setting of probabilistic evolution between actualizations supplies the mechanism for both freeze and acceleration effects.
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