Unified Fractal Quantum Field Theory (UFQFT) offers a geometric framework in which elementary particles and interactions emerge from resonant structures of energy (Φ) and charge (Ψ) fields in a fractal spacetime with an effective dimension D ≈ 2.70. In this formulation, particle stability, mass hierarchies, and interaction strengths are determined by fluctuations in the fractal dimension (δD), offering a natural explanation for phenomena ranging from quark confinement to neutrino oscillations. The model also predicts and explains the properties of dark matter via a scale-dependent mass spectrum( m DM ∼ Λ UV (3.0-D) -1/2 ), weak-scale interaction cross-sections ( σ ∼ (D-2.70) 4 ) and cosmic abundance consistent with Ω DM≈ 0.26 without fine-tuning. Observable consequences extend to cosmology and high-energy physics, including pronounced cosmic microwave background (CMB) anomalies, collider-accessible fractal excitations, and neutrino spectral perturbations associated with large-scale structure, etc. Schematic visualizations such as Time-Fractal Dimension Evolution and Phase Tree diagrams highlight the combined emergence of quarks, leptons, and gauge branches from an initial fractal symmetry state. Upcoming experiments such as CMB-S4, LiteBIRD, FCC, IceCube, and the Rubin Observatory may provide decisive ways to test these predictions. By unifying dark matter, CMB anomalies, and particle phenomenology within a single fractal-geometric framework, the UFQFT may offer a testable extension beyond the Standard Model and ΛCDM cosmology.
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Hacı Soğukpınar (Tue,) studied this question.
www.synapsesocial.com/papers/68bb3a352b87ece8dc954e87 — DOI: https://doi.org/10.14293/pr2199.001902.v1
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Hacı Soğukpınar
Adıyaman University
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