Chronoflux Research Initiative: Extension of the Torsion Balance Casimir Test - Experimental Design, Scaling Estimates, and Analysis Framework

This paper presents an experimental and analysis framework for extending a torsion balance Casimir apparatus to test a fractional correction to vacuum stress predicted in the Chronoflux formulation. In this framework the vacuum stress tensor depends on a local temporal dilation factor arising from the covariant conservation structure of the theory. A superconducting transition provides a controlled change in internal energy density while preserving geometry, allowing a differential measurement of the Casimir force. The work develops the theoretical motivation, scaling estimates, experimental configuration, residual analysis pipeline, and error model required to extract or bound the dimensionless parameter η₁ Δγₜ. The discussion is restricted to a four-dimensional formulation and uses the standard Casimir expression as the reference model.