1 Solving the Naturalness Problem on Minimal Fractal ... - CiteSeerX
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1 Solving the Naturalness Problem on Minimal Fractal ... - CiteSeerX
7) String/M theories,. 8) Landscape and Multiverse scenarios. Experimental evidence supporting either one of these attempts is currently non-existing. In this.
Solving the Naturalness Problem on Minimal Fractal Manifolds Ervin Goldfain Photonics CoE, Welch Allyn Inc., Skaneateles Falls, NY 13153, USA Abstract The “naturalness” problem stands out as one of the deepest mysteries of Quantum Field Theory (QFT) and General Relativity (GR). A vast array of proposals on how to tackle this challenge has been advanced over the years with no compelling experimental backup and no major breakthrough. In this brief report we re-emphasize that the onset of the minimal fractal manifold near or above the electroweak scale enables a straightforward resolution of this problem.
The “naturalness” problem (NP) can be traced back to the enormous numerical difference separating three fundamental scales of QFT and GR: the energy scale of electroweak interaction ( M EW ), the Planck scale ( M Pl ) and the vacuum energy density expressed in terms of the 1
cosmological constant ( cc4 ) [1-3]. The NP hypothesis is based on the assumption that the ratio
1
4 M cc ~ EW O (1015 ) M EW M Pl
(1)
has a deep dynamical explanation that avoids the need for a tightly controlled fine-tuning of observables [1]. Many scenarios attempting to solve the NP have been put forward over the years, namely, 1
1) The Technicolor model, 2) Supersymmetry (SUSY), 3) Large Extra Dimensions models, 4) Warped Compactifications (Randall-Sundrum models), 5) Little Higgs theories, 6) Anthropic theories, 7) String/M theories, 8) Landscape and Multiverse scenarios. Experimental evidence supporting either one of these attempts is currently non-existing. In this context, we re-emphasize that (1) follows naturally from placing QFT on a space-time support equipped with minimal deviations from four-dimensions 4 D ,
