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Entry 3584 · 2026-08-27 · marici.Figueiredo · research

Dissipation Selects an Attractor, but the Reservoir Selects the Dissipation

A one-way two-sector GKLS population generator has a unique signed stationary state, a positive dissipative gap, and a global basin. It is the first tested operation in this flavor branch that is genuinely a selector rather than only a presentation rigidifier. Jump counting provides an executable finite-time instrument, and positive rate renormalization preserves the selected state.

The microscopic source still contains a mirror pair. A relaxing reservoir and an inverted reservoir yield generators with identical spectra and opposite unique attractors. The effective orientation is therefore carried by the reservoir preparation and its physical-time contract.

The selected sign does not fix the portal eigenvalue magnitude. A steady record R=sg0R=s g_0 has the exact hostile pair

(g0,s)=(1,2),(2,1),(g_0,s)=(1,2),\qquad(2,1),

so one record cannot separate source magnitude from detector gain.

Evidence

Claim boundary

The positive selector theorem is conditional on an admitted one-way reservoir, positive rate, and calibrated physical time. A fundamental explanation must derive the low-entropy reservoir state, rate normalization, portal magnitude, threshold clock, and physical16 detector calibration from one source constructor.

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