F2 Resolution of the Hubble Tension
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2026
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| _version_ | 1866901622194438144 |
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| author | Novickis, Alexander |
| author_facet | Novickis, Alexander |
| contents | <p><strong>Title:</strong> F$_2$ Resolution of the Hubble Tension: A Topological Vacuum-Energy Mechanism with F$_2$-Asymptotic-Freedom Log-Running Screening</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>This paper proposes a Hopf-Soliton-Programme resolution of the Hubble tension based on the F$_2$ flag manifold, where $F_2 = SU(3)/(U(1) \times U(1))$. At recombination ($z \sim 1100$), F$_2$ topological vacuum-energy density partially screened by F$_2$-asymptotic-freedom log-running contributes ~5% of the total energy density, reducing the sound horizon $r_s$ by ~2.5% and lifting the inferred CMB Hubble constant by ~5%. The same screening mechanism — derived from the F$_2$-Faddeev-Skyrme $\beta$-function established as asymptotically free in Paper CXL Theorem 2 — produces the late-time exponential suppression $e^{-99} \sim 10^{-43}$ that delivers the observed cosmological-constant density at $z = 0$. <strong>Programme prediction:</strong> $H_0^{F_2} = 70.2 \pm 1.0$ km/s/Mpc, sitting at the geometric middle between SH0ES (73.04 ± 1.04) and Planck (67.36 ± 0.54). Compared against six independent measurements (SH0ES, TRGB, Planck, DESI BAO, ACT+SPT, H0LiCOW), the prediction passes all six within 2.0$\sigma$, with TRGB at 0.34$\sigma$ and DESI BAO at 0.18$\sigma$ giving the closest matches. <strong>Honest parameter accounting:</strong> 2 effective free parameters ($\chi(0)$ fixed by observed dark-energy density; $\chi(z_{\rm rec})$ fixed by Hubble-tension magnitude) plus 5+ predicted observables (BBN D/H shift +0.5%, intermediate-$z$ $H_0(z)$ log-running transition, CMB peak-height ratio shift ~1%, DESI BAO $r_s$ shift −2.5%, late-time $w(z)$ deviation). Earlier draft language ("zero free parameters") corrected to this honest framing. More parameter-economical than Early-Dark-Energy resolutions which typically deploy 2–3 free parameters per Hubble observable alone. <strong>Programme cross-validation:</strong> the same $f_\pi = 92.4$ MeV (anchored to the CXLVI-2 ⁴He binding match at 5.2%) underlies $\rho_{\rm vac}^{F_2} \sim f_\pi^4$ here and the proton-mass gluon condensate $\langle G^2 \rangle \sim f_\pi^4$ in F$_2$ Proton Existence Framework C — single calibration scale across 25 orders of magnitude in energy. Eight falsifiable predictions with decisive 2026–2030 tests at DESI Y5, CMB-S4, NICER, BBN-precision experiments, and intermediate-$z$ $H_0$ measurements. Multi-week residuals (full $|\beta_F|$ derivation, Boltzmann-code CMB peak heights, BBN network with F$_2$ contribution, DESI Y3 update) named explicitly as Chips P4.502.E.1–E.4. v0.1 first draft + Oxford v1 + Oxford v2 review + Critical/Major/Minor/Micro fixes applied.</p> <p><strong>Keywords:</strong> Hubble tension, Hubble constant, H0 measurement, H0(z) running, cosmology, Planck CMB, SH0ES, Type Ia supernovae, Cepheid distance ladder, TRGB, BAO, baryon acoustic oscillations, DESI, BBN, Big Bang nucleosynthesis, primordial deuterium, D/H abundance, ACT, SPT-3G, H0LiCOW, TDCOSMO, time-delay cosmography, Lambda-CDM, dark energy, vacuum energy, cosmological constant, cosmological-constant problem, screening mechanism, log-running screening, asymptotic freedom, F2-asymptotic-freedom, beta function, thermal field theory, recombination, sound horizon, acoustic peaks, CMB peak heights, CMB polarization, Friedmann equation, Hopf soliton, Hopf fibration, topological soliton, F2 flag manifold, Faddeev-Niemi, Faddeev-Skyrme, Cho-Faddeev-Niemi, Hopf Soliton Programme, programme cosmology, f_pi, pion decay constant, gluon condensate, proton mass, QCD vacuum, Early Dark Energy, EDE, modified gravity, N_eff, dark-energy equation of state, w(z), dynamical dark energy, falsifiable prediction, parameter economy, CMB-S4, EUCLID, Vera Rubin LSST, JWST, neutron star EOS, NICER, GW170817, Horizon Equivalence Conjecture, Paper CXL mass gap, Paper CXLVI-2 helium binding</p> <p><strong>Series:</strong> Paper P4.502 in the Hopf Soliton Programme (companion to Paper CXL F$_2$ Mass Gap, DOI 10.5281/zenodo.* and Paper CXLVI-2 Helium Continuum CCQ)</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20017180 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | F2 Resolution of the Hubble Tension Novickis, Alexander topological soliton Hopf fibration <p><strong>Title:</strong> F$_2$ Resolution of the Hubble Tension: A Topological Vacuum-Energy Mechanism with F$_2$-Asymptotic-Freedom Log-Running Screening</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>This paper proposes a Hopf-Soliton-Programme resolution of the Hubble tension based on the F$_2$ flag manifold, where $F_2 = SU(3)/(U(1) \times U(1))$. At recombination ($z \sim 1100$), F$_2$ topological vacuum-energy density partially screened by F$_2$-asymptotic-freedom log-running contributes ~5% of the total energy density, reducing the sound horizon $r_s$ by ~2.5% and lifting the inferred CMB Hubble constant by ~5%. The same screening mechanism — derived from the F$_2$-Faddeev-Skyrme $\beta$-function established as asymptotically free in Paper CXL Theorem 2 — produces the late-time exponential suppression $e^{-99} \sim 10^{-43}$ that delivers the observed cosmological-constant density at $z = 0$. <strong>Programme prediction:</strong> $H_0^{F_2} = 70.2 \pm 1.0$ km/s/Mpc, sitting at the geometric middle between SH0ES (73.04 ± 1.04) and Planck (67.36 ± 0.54). Compared against six independent measurements (SH0ES, TRGB, Planck, DESI BAO, ACT+SPT, H0LiCOW), the prediction passes all six within 2.0$\sigma$, with TRGB at 0.34$\sigma$ and DESI BAO at 0.18$\sigma$ giving the closest matches. <strong>Honest parameter accounting:</strong> 2 effective free parameters ($\chi(0)$ fixed by observed dark-energy density; $\chi(z_{\rm rec})$ fixed by Hubble-tension magnitude) plus 5+ predicted observables (BBN D/H shift +0.5%, intermediate-$z$ $H_0(z)$ log-running transition, CMB peak-height ratio shift ~1%, DESI BAO $r_s$ shift −2.5%, late-time $w(z)$ deviation). Earlier draft language ("zero free parameters") corrected to this honest framing. More parameter-economical than Early-Dark-Energy resolutions which typically deploy 2–3 free parameters per Hubble observable alone. <strong>Programme cross-validation:</strong> the same $f_\pi = 92.4$ MeV (anchored to the CXLVI-2 ⁴He binding match at 5.2%) underlies $\rho_{\rm vac}^{F_2} \sim f_\pi^4$ here and the proton-mass gluon condensate $\langle G^2 \rangle \sim f_\pi^4$ in F$_2$ Proton Existence Framework C — single calibration scale across 25 orders of magnitude in energy. Eight falsifiable predictions with decisive 2026–2030 tests at DESI Y5, CMB-S4, NICER, BBN-precision experiments, and intermediate-$z$ $H_0$ measurements. Multi-week residuals (full $|\beta_F|$ derivation, Boltzmann-code CMB peak heights, BBN network with F$_2$ contribution, DESI Y3 update) named explicitly as Chips P4.502.E.1–E.4. v0.1 first draft + Oxford v1 + Oxford v2 review + Critical/Major/Minor/Micro fixes applied.</p> <p><strong>Keywords:</strong> Hubble tension, Hubble constant, H0 measurement, H0(z) running, cosmology, Planck CMB, SH0ES, Type Ia supernovae, Cepheid distance ladder, TRGB, BAO, baryon acoustic oscillations, DESI, BBN, Big Bang nucleosynthesis, primordial deuterium, D/H abundance, ACT, SPT-3G, H0LiCOW, TDCOSMO, time-delay cosmography, Lambda-CDM, dark energy, vacuum energy, cosmological constant, cosmological-constant problem, screening mechanism, log-running screening, asymptotic freedom, F2-asymptotic-freedom, beta function, thermal field theory, recombination, sound horizon, acoustic peaks, CMB peak heights, CMB polarization, Friedmann equation, Hopf soliton, Hopf fibration, topological soliton, F2 flag manifold, Faddeev-Niemi, Faddeev-Skyrme, Cho-Faddeev-Niemi, Hopf Soliton Programme, programme cosmology, f_pi, pion decay constant, gluon condensate, proton mass, QCD vacuum, Early Dark Energy, EDE, modified gravity, N_eff, dark-energy equation of state, w(z), dynamical dark energy, falsifiable prediction, parameter economy, CMB-S4, EUCLID, Vera Rubin LSST, JWST, neutron star EOS, NICER, GW170817, Horizon Equivalence Conjecture, Paper CXL mass gap, Paper CXLVI-2 helium binding</p> <p><strong>Series:</strong> Paper P4.502 in the Hopf Soliton Programme (companion to Paper CXL F$_2$ Mass Gap, DOI 10.5281/zenodo.* and Paper CXLVI-2 Helium Continuum CCQ)</p> |
| title | F2 Resolution of the Hubble Tension |
| topic | topological soliton Hopf fibration |
| url | https://doi.org/10.5281/zenodo.20017180 |