An IQOQI proof sets thermalization at or above half of tau_Pl
IQOQI in Vienna and Universitat Autònoma de Barcelona prove, in theory, that thermalization at finite temperature cannot run shorter than half of tau_Pl. The support is quantum information geometry together with quantum metrology. No materials measurement is involved. tau_Pl is assembled from temperature, Boltzmann's constant, and the reduced Planck constant. It is not a materials experiment.
Science··Midday
The proof sets a lower bound on thermalization time
IQOQI Vienna is the institute in Vienna that works on quantum optics and quantum information. Universitat Autònoma de Barcelona is the autonomous university in Barcelona. Their theoretical proof keeps thermalization, at finite temperature, no shorter than half of tau_Pl. Thermalization means the system approaching the thermal ensemble. The support is quantum information geometry together with quantum metrology. No materials measurement is involved. The Nature Physics text is dated 24 September. This expansion adds no new measurement. Terms are opened where the paper's names first appear. Figures do not go beyond the values the text gives.[1]
tau_Pl is built from temperature and two constants
The Planckian time called tau_Pl is assembled from three pieces: temperature, Boltzmann's constant, and the reduced Planck constant. The reduced Planck constant sets the quantum scale. Boltzmann's constant ties temperature to energy. Once temperature falls, the measure shifts to the spectral gap separating the ground state from the first excited level. That gap is the opening between two energy levels. The floor of half of tau_Pl stays inside this definition. This expansion adds no new measurement. Terms are opened where the paper's names first appear. Figures do not go beyond the values the text gives.[1]
The proof defines approaching the thermal ensemble
The text treats thermalization as the approach toward that hot ensemble. The thermal ensemble is the spread of possible states at a given temperature. The text does not give a bench measurement. The bound is a theoretical floor set for finite temperature. There is no material name, no sample size and no laboratory instrument. The reader is given a time floor, not an experimental outcome. The account stays inside the peer-reviewed text. No further experiment, sample or date is added. The reader follows the development only as far as that laboratory evidence goes. The reader reads the development only inside the one paper. No other date is in it either. The account does not set up a new laboratory. It stays only inside the published measure. The card's job is to open that measure for the reader in both languages. The measure stays inside the values the peer-reviewed text gives. No new sample, date or device is added. The reader follows the development only as far as that laboratory evidence goes.[1]
