The Gauge Principle: Not Conflating Weyl’s Two “Gauges” (Scale and Phase).

Convention and Fact: Poincaré’s Conventionalism and the Corpus’s “Scaffolding” (the Defined Value of c, Unit Conventions).

“Dimension” Is Not One Thing: Mandelbrot’s Fractal Dimension and Not Conflating the Corpus’s Special Dimensions (From the Roughness of Markets).

The Discovery of the Field: Faraday’s Lines of Force and the Physical Intuition That Came Before the Mathematics.

The Shared Alphabet: Cartan’s Differential Forms and the Language Beneath the Corpus’s “Grammar”.

Curvature Is Intrinsic: Riemann, and the Language for Not Conflating the Corpus’s Many “Curvatures”.

Continuous Symmetry Emerges from Weak Assumptions: Hidehiko Yamabe and Hilbert’s Fifth Problem (The Deep Cousin of Ignatowski).

Zero-Tension and the Inverse Problem: Reading the Hidden Cause from a Perfect Null — The Reversible Reference Layer and Inverse Scattering.

Two Entropies, Not to Be Conflated: A Structural Contrast of 3D Coarse-Graining Entropy (the Arrow of Time) and the Black-Hole Horizon Area Entropy (t

The Action Principle as the Description Language of Physical Law: From Particle to Field — One Grammar, Not One Equation.