In this study, we present a comprehensive calculation of the fundamental properties of the proton and neutron within the framework of the Unified Fractal Quantum Field Theory (UFQFT). Unlike conventional models where quarks are treated as confined point-like particles with gluon-mediated interactions, UFQFT describes quarks as stationary fractal resonances of two coupled fields: the energy field Φ and the charge field Ψ. Using this formalism, we derive explicit wave functions for up and down quarks, compute the proton and neutron mass from resonance energy minimization, and reproduce their spin, charge distribution, and magnetic properties. Furthermore, we explore proton-neutron conversion, binding energy contributions in nuclei, and discuss the implications for the stability of nuclear matter. Our results demonstrate that the UFQFT resonance approach yields values consistent with experimental observations while providing a geometric and field-theoretic interpretation of nucleon structure.

A document by haci Sogukpinar. Click on the document to view its contents.

The prevailing view of black holes in classical general relativity permits unbounded growth, culminating in a singular, physics-breaking endpoint. While quantum gravity approaches aim to resolve the singularity, the question of a fundamental upper mass limit remains open. This paper presents a novel theoretical framework based on a Unified Fractal Quantum Field Theory (UFQFT) that predicts a natural saturation point for black hole mass. By reinterpreting the black hole interior not as a singularity but as a fractal core where the wavefunctions of constituent quarks and particles merge into a single, cohesive structure, we derive an effective repulsive Ψ-charge. We demonstrate that the gravitational pressure (𝑃 𝐺) and this repulsive pressure (𝑃 𝛹) achieve equilibrium at a critical charge-to-mass ratio 𝛼 * =√4𝜋𝜖 0 𝐺≈8.62×10 −11 C/kg. This balance implies a critical mass (𝑀 crit) for any black hole, beyond which growth is halted by a prospective bounce or mass-shedding phase transition. We parameterize the mass dependence of the effective repulsion, α(M), and show how 𝑀 crit can be tuned to align with astrophysical observations, from stellar-mass to supermassive black holes. Our model not only offers a mechanism to evade the singularity but also provides testable predictions for the black hole mass spectrum and the extreme activity of quasars, potentially explaining why black holes cannot grow indefinitely.

The concept of fractal dimensionality offers a novel perspective for understanding the evolution of the Universe from its pre-Big Bang state to the present epoch. Within the framework of the Unified Fractal Quantum Field Theory (UFQFT), physical structures-ranging from nuclear systems with magic numbers (𝐷 𝑓 ≈ 1.4) to the large-scale Universe (𝐷 𝑓 ≈ 2.7)-can be described as resonance configurations embedded in a fractal spacetime. We propose that the early Universe, prior to the Big Bang, exhibited a higher effective fractal dimension (𝐷 𝑓 ≈ 3-4), reflecting a pre-geometric state of symmetry and homogeneity. The subsequent cosmic evolution can then be understood as a dimensional reduction process, wherein fractal dimensionality decreases as structure formation, particle stability, and entropy growth emerge. This approach provides a unified interpretation of particle confinement, nuclear stability, and cosmological expansion, linking microphysical phenomena to cosmic-scale dynamics. The results suggest that fractal dimensionality is not static but evolves as a fundamental parameter of nature, offering new insights into the origin of matter, the dynamics of the Big Bang, and the present large-scale geometry of the Universe.

The nature of dark matter and dark energy remains one of the central unresolved challenges in contemporary cosmology. Within the standard ΛCDM paradigm, dark matter is postulated as an unknown form of matter, while dark energy is reduced to a cosmological constant, yet neither has been directly explained by the Standard Model of particle physics. This study proposes an alternative interpretation based on the Unified Fractal Quantum Field Theory (UFQFT). UFQFT defines elementary particles as resonance states of two fundamental fields, the energy field (Φ) and the charge field (Ψ), within a fractal spacetime of dimension D ≈ 2.70. According to this framework, dark matter corresponds to neutral resonances-such as neutrinos and their resonance families-that coexist with ordinary matter but do not integrate into baryonic structures, an "ady-positioned" form of matter. Dark energy, by contrast, is described as non-material resonances, oscillatory modes of the Φ-Ψ fields that never condensed into particles, manifesting instead as a persistent tension in the fabric of spacetime that drives cosmic acceleration. Conceptually, these invisible but influential structures can be metaphorically compared to unseen entities such as angels or jinn-accepted as real within cultural traditions though beyond direct perception. This resonance-based interpretation not only reframes the dark sector in physical terms but also offers novel philosophical perspectives, while providing testable differences from ΛCDM through neutrino anomalies, CMB irregularities, and gravitational lensing signatures.

The proton spin crisis, first identified by the European Muon Collaboration (EMC) experiment in 1987, overturned the long-held assumption that the proton's spin arises predominantly from the intrinsic spins of its constituent quarks. Rather than accounting for the entirety of the proton's spin, quarks were found to contribute only 4-24% a result that remains one of the unresolved puzzles in the Standard Model of particle physics. This work proposes a solution to this crisis through the Unified Fractal Quantum Field Theory (UFQFT) framework, which models particles as resonant structures of a fundamental energy field (Φ) and charge field (Ψ) in a spacetime with an effective fractal dimension of D≈2.7. Within UFQFT, spin is defined not merely as an intrinsic property of point-like quarks, but as a collective phenomenon emerging from the fractal resonance of the fields. The work proposes the decomposition of proton spin as follows: 𝑆 𝑝 = 𝑆 𝑞 + 𝑆 𝛷−𝛹 + 𝐿 𝑓 where 𝑆 𝑞 represents the conventional quark spin contribution, 𝑆 𝛷−𝛹 is the spin component arising from the fractal resonance between the Φ and Ψ fields, and 𝐿 𝑓 represent the orbital angular momentum generated by the fractal geometry of the proton. This model attributes most of the proton spin to collective field dynamics after naturally accounting for the observed small quark spin contribution. These findings suggest that the proton spin crisis is not a fundamental paradox, but rather a component of the fractal and field-theoretic nature of the hadronic structure.

The classical notion of time as a fundamental, continuous, and linear parameter is increasingly challenged by persistent puzzles in cosmology and quantum gravity. This paper proposes a paradigm shift by defining time not as a primary dimension, but as an emergent property of the evolution of spacetime's fractal structure. We introduce a novel framework where the flow of time is governed by the rate of change of the fractal dimension D, postulating a fundamental relation 𝑑𝑡 = 𝑑𝐷/𝑉(𝐷), where V(D) is a fractal potential energy density. This core axiom naturally gives rise to a thermodynamic arrow of time and provides a singularity-free initial condition for the universe. Applying this model to cosmology, we derive a modified Friedmann equation and show that the observed age of the universe (13.8 Gyr) is consistently recovered through the calibration of V(D). Furthermore, the model offers firstprinciple explanations for late-time cosmic acceleration, interpreting dark energy as a manifestation of the fractal geometry's scale-dependence, and predicts a specific effective equation of state (𝑤 𝑒𝑓𝑓 = −1 + 𝑝/3). At quantum scales, the framework predicts critical slowing down of particle interactions near specific fractal thresholds, potentially testable in high-energy experiments. Finally, we present a set of definitive, testable predictions, including specific imprints on the low-ℓ CMB power spectrum, anomalies in atomic clock comparisons, and deviations in the Hubble parameter measured from standard sirens. This work establishes fractal time as a viable and falsifiable hypothesis that bridges cosmological and quantum phenomena, offering a new path toward unifying gravity with the standard model.

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.

A document by haci Sogukpinar. Click on the document to view its contents.

This paper presents Unified Fractal Quantum Field Theory (UFQFT), a novel framework that reinterprets particle physics through fractal field resonances and dimensional scaling. In UFQFT, the mass spectrum of fundamental particles emerges from the fractal dimension (D) of their underlying quantum fields, governed by the scaling law m ∝ |D − 2.70|⁻ᵅ, where α distinguishes between quark (α ≈ 1.5) and lepton (α ≈ 2.0) sectors. The theory eliminates the need for gluons by explaining quark confinement via fractal binding energies and recasts the Higgs mechanism as a critical fractal phase transition of the Φ energy field. Key predictions include: (1) the composite nature of the down quark (d ≈ u ⊗ e⁻), (2) neutrino masses as residual Φ-field vibrations (D ≈ 2.72), and (3) proton stability as a consequence of fractal synchrony (Dₚ ≈ 2.66). UFQFT challenges the Standard Model by unifying electroweak and strong interactions through geometric field modulation, offering testable signatures in high-energy collisions (e.g., fractal dimension imprints at D ≈ 2.65-2.70). The model's mathematical consistency and empirical viability are demonstrated through precise mass calculations for quarks (u, d, s, c), leptons (e⁻, νₑ), and hadrons (p, n), with deviations <1% for most particles. This work opens new pathways for beyond-Standard-Model physics by integrating fractal geometry into quantum field dynamics.

A document by haci Sogukpinar. Click on the document to view its contents.

The standard ΛCDM model has been remarkably successful in explaining many features of the cosmos; however, it remains theoretically incomplete. Its reliance on a primordial singularity, the unexplained nature of dark energy, and its incompatibility with quantum gravity at Planck scales point to fundamental gaps in our understanding of the universe. This study proposes a holographic bubble universe framework as a viable alternative, addressing these limitations through a physically motivated and observationally testable model.In this approach, the universe is treated as a 3+1-dimensional bubble embedded in a higher-dimensional quantum medium. The model eliminates the need for an initial singularity by replacing it with a finite quantum fluctuation in a pre-geometric background. Cosmic expansion arises naturally from the negative pressure exerted by the external environment-mimicking dark energy dynamics without invoking a finely tuned cosmological constant. Moreover, the model integrates the holographic principle by encoding information on the 2+1D boundary, thereby preserving unitarity and resolving entropy paradoxes inherent in the standard model.The framework yields concrete, testable predictions: echoes and anisotropies in the Cosmic Microwave Background (CMB), discrete gravitational wave modes, and topological features in large-scale structure distributions. These signatures are consistent with recent data from DESI, LISA, and Euclid, offering a promising avenue to reconcile observational cosmology with quantum gravity. By addressing the foundational weaknesses of ΛCDM-particularly the singularity problem and the ad hoc treatment of dark energy-the bubble universe model offers a unified, falsifiable, and conceptually coherent cosmological paradigm.