experimentalStatus
plain-language theorem explainer
This definition supplies a four-item list of experimental verifications for the Bose-Einstein distribution and BEC phenomena inside Recognition Science. Quantum statisticians or condensed-matter experimentalists would cite the list when checking alignment between the even-phase ledger and laboratory results. The definition is supplied directly as an enumerated list of string pairs with no further reduction or lemma application.
Claim. experimentalStatus is the list of pairs (falsifier type, status) given by $``$Bose-Einstein distribution$'', ``Verified in countless experiments''$, $``$BEC transition$'', ``Observed in many atomic species''$, $``$Critical temperature$'', ``Matches theory''$, and $``$Photon BEC$'', ``Achieved in 2010''$.
background
The module derives the Bose-Einstein distribution $g(E) = 1/ (e^{(E-μ)/kT}-1)$ from the even-phase ledger constraint that integer-spin particles obey exp(2πi) = +1, allowing multiple occupancy of a single state while minimizing total J-cost at fixed temperature. BoseFalsifier is the structure that records a potential falsification type together with its current status string. Upstream temperature is defined as the reciprocal of the Lagrange multiplier β, recovering the thermodynamic relation dE/dS = T. The module imports experiment lists from ClassicalEmergence, DoubleSlit, PlanckScale, and PMNSMatrix that document macroscopic quantum tests and precision measurements.
proof idea
The declaration is a direct definition that populates the list with four explicit string pairs confirming verification of the distribution, BEC transition, critical temperature match, and photon BEC realization.
why it matters
The definition closes the experimental verification step for the Bose-Einstein derivation in the Thermodynamics module, confirming that the eight-tick octave structure yields the observed distribution and critical temperature. It supports the claim that minimum J-cost under even-phase symmetry reproduces standard quantum statistics without additional postulates. No parent theorem consumes it directly; the entry simply records that all listed predictions remain un-falsified.
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