Molecular-to-kinetic simulation validity planner

Family 364: Kinetic limits and fluctuations over the Boltzmann lifespan. First source-informed review, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Molecular and kinetic researchers can compare marginal statistics and fluctuation observations across a regular Boltzmann lifespan and record admissible potential and initial-density conditions.

Applicability and commercial boundary

The Boltzmann–Grad statement is a limiting result on intervals with a uniform Gaussian regularity bound, not an explicit finite-particle error budget. The fluctuation result uses exact microscopic-expectation centering and finite-dimensional distribution convergence, not automatically a uniform finite-sample confidence band.

Initial business decision

Conditional research. Commercial demand and profitability remain hypotheses. Research usefulness is not evidence of a buyer budget.

Next verification action

Inspect convergence rates, effective constants and centering cost before proposing an uncertainty-calibration package.

Evidence scope

The catalog statement and main-paper abstract or introductory theorem passages were individually reviewed. Available family-level scope documents were inspected, with attention to version differences and exclusions. This is a first application triage, not a full proof audit or independent Lean verification. Family 376 has nine paper abstracts inspected; selected scopes are not assumed to cover all nine papers in full. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Pinned sources

• The Boltzmann–Grad limit for stable radial potentials on regular kinetic intervals
• Hard-sphere fluctuations on the regular Boltzmann lifespan