C2 -Gravity & Geometry
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Prime Numbers in Black Holes? Zeta Structures, Primitive Cycles, and a Possible FBA Perspective
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4 min read
Abstract Recent popular science reports have suggested that “prime number patterns” might appear inside black holes. However, what lies behind this formulation is typically not a direct connection to the Riemann zeta function itself, but a deeper structural mechanism: primitive cycles in dynamical systems naturally generate zeta products whose zeros encode resonances or spectral fluctuations.…
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In https://opg.optica.org/optica/fulltext.cfm?id=572911&uri=optica-12-6-843 (Optica, 2025), the largest coordinated campaign to date is reported: 10 optical clocks in 6 countries were compared simultaneously over fiber and satellite links for weeks (including 38 evaluated frequency ratios). The FBA view turns this into a pass/fail program: not “the best clock,” but a preregistered consistency experiment that licenses link and…
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Ekpyrotic Universe from an FBA Perspective: A Good Early-Cosmology Idea, but Only with Hard Channel Separation
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6 min read
The Spektrum podcast picks up a real primary line: in https://arxiv.org/abs/hep-th/0103239 the hot Big Bang is described as the result of a brane collision in an extra-dimensional setting; the model starts from a cold, nearly static state and claims to address the horizon, flatness, and monopole problems without a standard inflationary phase. At the same…
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The work by Koch, Riahinia & Rincon (Phys. Rev. D 112, 084056, 2025 / arXiv:2510.00117) introduces “q-desics” as quantum-corrected analogues of geodesics and derives an equation of motion based on expectation values of operators such as the affine connection (not only on ⟨g⟩). In the example of static, spherically symmetric quantum-gravity backgrounds, the authors report…
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Starting point is https://www.fr.de/wissen/wie-ein-mysterioeser-neutrino-fund-drei-mysterien-der-physik-loesen-koennte-94157428.html (context); in https://arxiv.org/abs/2505.22722 (preprint, v2 2026), Baker et al. argue that a population of quasi-extremal primordial black holes with “dark U(1)” charge can make the PeV neutrino fluxes of KM3NeT (around 100 PeV) and IceCube (above 1 PeV) simultaneously compatible with gamma-background constraints and LHAASO non-observations—and may even constitute all of the dark…
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In Crespi et al. (Monthly Notices of the Royal Astronomical Society, 2026; arXiv 2025), Sgr A* is modeled as a fermionic dark-matter core plus halo; the authors report that the orbital parameters derived for S2 and five G sources differ from a BH-potential variant by less than one percent. Pelle et al. (MNRAS, 2024) ray-trace such fermion cores…