PHY.8:4.6 - Compute, compare and return to the physical premise

Use a finite enumeration, analytical calculation or numerical sampler appropriate to the selected statistic. C.29.2 helps formulate the computation. Check that the computation implements the chosen state space, preparation, dependence and observable.

A Monte Carlo sampler can deliberately use artificial transitions to obtain a distribution. Interpret its steps as physical time only when a separate physical transition law and time calibration justify that use. Convergence of a numerical estimate, statistical concentration of the physical observable and adequacy of the microscopic account are different questions.

Make the comparison that can change the work decision. A small case can reveal a lost correlation. An available observation can distinguish two preparations. A changed observation interval can expose an invalid equilibrium approximation. Retain a sufficient conditional answer when further evidence would not justify its cost; C.11.DUA governs that choice.

Return to the implicated premise: the prepared state, weighting, interaction, measurement response or time-scale assumption. Preserve unaffected balances and mathematical consequences. The next question may concern controlling fluctuations, constructing a different preparation or choosing a more informative observable.