Minimal Fractal Manifold as Asymptotic Regime of Non-Commutative Field Theory

The minimal fractal manifold (MFM) defines a space-time continuum endowed with arbitrarily small deviations from four-dimensions 4 , ( D     << 1). It was recently shown that MFM is a natural consequence of the Renormalization Group which brings up a series of unforeseen solutions to the challenges raised by the Standard Model. In this brief report we argue that MFM may be treated as asymptotic manifestation of Non-Commutative (NC) Field Theory near the electroweak scale. Our provisional findings may be further expanded to bridge the gap between MFM and NC Field Theory.