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Paper CXLIX: Fermionic Tidal Love Numbers from First Principles: Bosons as G2-Symmetric Modes, Fermions as H+ Standing Waves

Authors: Jagadeesan, Bharathi Dasan;

Paper CXLIX: Fermionic Tidal Love Numbers from First Principles: Bosons as G2-Symmetric Modes, Fermions as H+ Standing Waves

Abstract

Chakraborty, Heidmann, and Pani (Phys. Rev. D 113, L061503, 2026) recently showed that black holes in general relativity have vanishing tidal Love numbers for bosonic perturbations (scalar, electromagnetic, gravitational) but nonzero Love numbers for fermionic perturbations (Dirac fields), with fermionic dissipation numbers vanishing. They attribute the bosonic vanishing to hidden ladder symmetries. Here we derive both results from first principles in the One-Octonion Brane-Bulk Framework: bosons are G2-symmetric propagating modes (invariant under the full automorphism group of the octonion) and leave no imprint on the brane geometry; fermions are H+ sector standing waves (focal deceleration zones in the matter quaternion) and necessarily deform the kappa=-1 brane. The vanishing of fermionic dissipation numbers follows from the first algebraic fact: [H+, H-] = 0, which forbids the H+/H- mixing required for superradiance. The result makes precise a prior observation: a fermion is a decelerated boson. Three new predictions follow. One of these three predictions (charged black hole bosonic Love numbers) is independently confirmed by Ma et al. (PRD 111, 044003, 2025) [8], who find nonzero charged scalar Love numbers for Kerr-Newman black holes.Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.

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