THE CONSTANTS PROGRAM - Paper E - Empirical Constants and Projected Measurement How Invariance Becomes Numerical Value in Physical Regimes

Empirical constants are usually treated as fixed numerical givens of physical law. This paper proposes that empirical constants are better understood as projected measurement constants: stabilized numerical values that appear when deeper invariance becomes measurable within a physical regime. Unlike root constants, recursive constants, compound constants, and mathematical closure constants, empiricalconstants are the final observational form of prior ontological and formal structure. The speed of light,Planck’s constant, the gravitational constant, the fine-structure constant, cosmological parameters,particle masses, and coupling strengths are examined as examples of invariance made measurable. Within the coherence-closure framework, measurement does not create constants; it reveals the point atwhich coherence, recursion, relation, and closure have stabilized into repeatable physical value.