arXiv subjects

Bishnu Gupta Teli

Publications and source records attributed to Bishnu Gupta Teli.

4 recordsLinked to original sources

arXiv2026

Fermion Mixing Matrices and the Exceptional Jordan Algebra

We extend the exceptional-Jordan spectral framework for fermion mass hierarchies to the problem of quark and lepton mixing. Following the companion mass paper~\cite{Teli:2026jgr}, each fermion sector is associated with a Hermitian element of $J_3(\mathbb{O}_{\mathbb{C}})$, where adjacent square-root mass ratios are obtained from cubic ladders in $\mathrm{Sym}^3(\mathbf 3)$. Here, these ratios are used as inputs to an adjacent-edge lift from spectral hierarchy data to two-generation mixing angles. The lift is derived from a Fritzsch-type two-state texture~\cite{Fritzsch:1977za, Fritzsch:1979zq} and should be regarded as an effective bridge ansatz rather than a theorem of the Jordan spectrum alone. The exact CP-transport input is supplied by the companion CP Letter~\cite{GuptaTeli:2026aqf}. In the quark sector, the octonionic ladder operator $α_2$ generates a real local rotor in the $(e_1,e_3)$ plane, and the up- and down-sector local Cabibbo-edge amplitudes are complex conjugates, giving the exact local law $ϕ_{12}=-2χ$. This is a transport-level Cabibbo-rung phase law, not by itself a prediction of the standard CKM Dirac phase. With the fitted companion mass ratios, the minimal two-angle extraction from the measured $|V_{us}|$ gives an effective Cabibbo-block phase $ϕ_{12}\simeq 105.7^\circ$; this number is a bridge diagnostic, while the balanced octonionic rotor remains the distinguished quadrature reference point. The $(2,3)$ sector requires a phenomenological normalization $κ_{23}\simeq0.56$, and the direct $(1,3)$ element remains a long-edge bridge problem. [Truncated]

hep-ph↗

arXiv2026

Leptonic CP Conservation and the Quark CP Phase from Octonionic Flavor Structure

One generation of standard-model fermions can be realized on the complexified octonions through the Clifford algebra $\mathcal{C}l(6)$; the octonionic unification programme extends this to three generations, with generation transport implemented by $G_2$ automorphisms or by rotors built from the ladder operators. We prove a localization theorem for the CP-violating phases of this structure, using only the $\mathcal{C}l(6)$ construction and the stated three-generation representatives, independently of the wider programme. For quarks, the first-to-second generation step is the occupation flip of one ladder mode, with the up and down species coupling to conjugate ladder directions; a conjugation theorem forces $A_d=A_u^*$ for every real transport, and the most general rung-generated rotor yields the exact one-parameter law $ϕ_{12}=-2χ$: the $(1,2)$ transport phase is twice one Yukawa orientation angle. The programme's geometric rotor sits exactly at the quadrature-balanced point $|ϕ_{12}|=π/2$; the companion analysis reproduces the Cabibbo \emph{magnitude} $|V_{us}|$ with a single real tilt, leaving the rung near quadrature, but it does not extract a CKM CP phase, so the quark Dirac phase is fixed only once the underlying Yukawa orientation is computed. For leptons we prove a reality theorem: every charged-lepton and every neutrino transport amplitude is exactly real for every $G_2$ automorphism and every rotor that does not mix the identity line $\mathbb C\cdot1$ with the lepton--flavor plane $\mathrm{span}(e_7,e_5,e_2)$ a class that contains the entire quark-rung family--and identity--flavor mixing across that plane is the unique possible source of a leptonic phase. [Truncated]

hep-ph↗

arXiv2026

Fermion Mass Hierarchies and the Exceptional Jordan Algebra

We develop a spectral framework for fermion mass hierarchies based on the exceptional Jordan algebra $J_3(\mathbb{O}_{\mathbb{C}})$. Starting from the octonionic realization of one Standard Model generation in $\mathbb{C}\otimes\mathbb{O}$, we embed the resulting three-generation structure into Hermitian Jordan elements whose eigenvalues define intrinsic spectral invariants. The ordered spectral scales generate cubic ladder structures in the symmetric representation $\mathrm{Sym}^3(\mathbf{3})$, and consistency of multiplicative hierarchy composition naturally leads to power-law relations between fermion masses and spectral scales. The construction should be viewed as a phenomenological spectral deformation of the rigid exceptional-Jordan framework discussed below: we retain the same cubic-ladder, minimal-chain, and Dynkin-reflection structure, but promote the relative normalization, hierarchy exponent, and charged-lepton octonionic phase to fitted spectral moduli. A global logarithmic fit to six charged-fermion mass ratios at $μ=M_Z$ lowers the unpenalized log-residual relative to the rigid point, mainly through the top-to-charm ratio, while the individual ratios are not uniformly improved. The best-fit hierarchy exponent remains close to the square-root scaling regime, $p\simeq1$. In the neutrino sector, the framework accommodates both normal and inverted ordering while remaining consistent with oscillation data and current cosmological bounds on the total neutrino mass. Thus, the proposal is an effective spectral organization of fermion hierarchies, not a parameter-free replacement for the broader rigid construction discussed below.

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arXiv2024

Probing self-interacting ultrahigh-energy neutrinos with the cosmic 21-cm signal

In this study, we investigate the constraints on secret self-interactions of neutrinos by examining the impact of radiative scattering of ultrahigh-energy neutrinos. These neutrinos are produced from the decay of superheavy dark matter and interact with the cosmic neutrino background. We explore how these interactions influence the 21-cm hydrogen signal during the cosmic dark ages and cosmic dawn, periods relatively free from astrophysical uncertainties, providing a clearer signal for studying nonstandard neutrino interactions. By analyzing the global brightness temperature measurements, we constrain the scattering cross section of ultrahigh-energy self-interacting neutrinos, determining the coupling constant $g$ to be within $\sim 10^{-4}$ to $\sim 10^{-3}$ for neutrino energies in the PeV to EeV range. Interestingly, these constraints are more competitive than those from existing astrophysical and collider experiments. As future 21-cm experiments focus on measuring brightness temperature across a wide range of redshifts from the cosmic dark ages to reionization, using the epoch of 21-cm to probe neutrino properties could provide crucial insights into dark matter and neutrino physics.

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