Closure-Projected Dynamics: A Structural Completion Framework Across Scales

We propose a structural completion framework in which observable physical dynamics arise as projections of an invariant closure structure.

Deviations from established physical theories are modeled through a closure deficit parameter ε = 1 − C, where C ∈ [0,1] represents the completion state of the underlying structure.

The framework introduces correction terms that:
- Preserve the backbone of standard theories
- Vanish in the completion limit (C → 1)
- Generate falsifiable deviations under specific projection protocols

We demonstrate cross-domain instantiations in cosmology and open quantum systems.

This work does not replace existing theories but provides a conservative structural completion mechanism with explicit recovery limits.