The Dual Regulator Framework: Resolving Quantum Field Theory Infinities Through Virtual-Real Domain Separation

This paper introduces the Dual Regulator Framework, a conceptual extension clarifying how finite, discrete global structure and local electromagnetic dynamics jointly regulate physical observables across scales. Building on prior work establishing a finite discrete standard via dual convergence (pure mathematics and pure empiricism), this paper addresses the localisation of residual discrepancies that remain at ultra-high precision. It identifies the atomic/QED boundary—exemplified by the Lamb shift—as the natural interface where two distinct regulators overlap: a global regulator, governing mass hierarchies, scale structure, and invariant ratios through finite discrete geometry, and a local electromagnetic regulator, governing self-energy and radiative corrections at atomic scales. Rather than indicating a failure of the finite framework, these residual effects are shown to be necessarily localised to electromagnetic self-interaction, consistent with the known role of QED as an effective local theory. The Dual Regulator Framework thus explains where and why high-precision deviations persist, without introducing new parameters, modifying QED, or invoking renormalization beyond its established domain. This work serves as a stabilising interpretive companion to the Dual Convergence results, clarifying scale separation, regulator domains, and the role of electromagnetic corrections, while preserving full compatibility with existing precision physics. For further information about the ENSO Framework, please contact Eric Needham: ensotheory1@gmail.com Licenses Creative Commons Attribution Non Commercial No Derivatives 4.0 International