MMA-DMF Fixing Five QED Puzzles without New Free Parameters

The Standard Model of particle physics, specifically Quantum Electrodynamics (QED), stands as the most precise physical theory ever constructed, predicting observables like the electron magnetic moment to parts in a trillion. However, this phenomenological success masks deep, persistent pathologies in its ultraviolet (UV) and infrared (IR) structures, as well as in its coupling to gravity and cosmology. These include: (1) the Landau Pole divergence indicating triviality; (2) the lack of a rigorous non-perturbative definition in the presence of gravitational singularities; (3) the catastrophic instability of the vacuum in ultra-strong fields (the Schwinger limit); (4) the ambiguity of the infrared memory sector; and (5) the persistent 5σ tension in Primordial Nucleosynthesis (BBN) regarding Lithium-7. This paper presents a comprehensive resolution to these five distinct QED puzzles within the Modified Matter Acceleration - Dark Matter Free (MMA-DMF) framework. We demonstrate that by embedding QED into the MMA-DMF effective field theory, characterized by a single fundamental scale M ≃ 100 TeV and a “Geometric Flavor Spectrum,” the vacuum structure is naturally regularized. The model replaces the “Matter Hypothesis” of dark sectors with a “Gravity Hypothesis,” where a scalar degree of freedom ϕ couples to the trace of the energy-momentum tensor and the Gauss-Bonnet invariant. We show that the “Geometric Locking” mechanism prevents the Landau pole via mass saturation, provides a regular horizon structure for non-perturbative definitions, dynamically shields the vacuum in magnetar environments, encodes memory in the scalar geometry, and resolves the BBN Lithium tension via a “Dynamic Yukawa Guard.” Crucially, these resolutions arise without introducing new free parameters beyond those derived directly from the standard model mass spectrum and cosmological tension resolutions, preserving the precision of low-energy observables like (g-2)μ and the Lamb shift.