Modeling & Philosophy

Essays at the boundary of physics, computation, and philosophy: how we choose states, laws, and solvers — and what that means for understanding.

Rᵀ–L–S & Solver Structure

• The Rᵀ–L–S Framework: Restriction, Laws, Solvers
• Solver Admissibility and Structural Invariance
• Why Multi-Level ALM Solvers Work

Case Studies: Einstein & Mooney

• Einstein and the Art of Forgetting the Right Things
• Mooney’s Large Deformation Elasticity Revisited
• Symmetry, State Choice, and Physical Admissibility

Modeling, Approximation, and Failure

• Why Modeling Works
• Modeling, Hierarchy, and Elegance
• Why Engineering Still Thinks Linearly in a Nonlinear World
• What It Means for a Model to “Fail Loudly”
• Similarity Solutions, Scaling Parameters, and Misuse
• On Closure: When Solvers Are Fitters in Disguise