Fourth Generation fermions as candidates for Dark Matter

TL;DR

This paper proposes a theoretical framework using Clifford algebra to describe a fourth generation of fermions, which could serve as candidates for dark matter, potentially explaining galactic cores and halos.

Contribution

It introduces a novel algebraic model predicting a fourth fermion generation with unique quantum numbers and explores their role as dark matter candidates.

Findings

Neutral G(4) composites could be dark matter candidates.

G(4) fermions are predicted to have distinct electric charges.

Quantum number conservation prevents G(4) and G(1-3) interactions.

Abstract

Clifford Unification describes all the observed fundamental fermions in terms of seven commuting elements of the $Cl_{7,7}$ Clifford algebra. The eigenvalues of each commuting element define a binary quantum number, which relates to a fermion property that is conserved in decays and interactions. These include the quantum number descriptions of a hitherto unobserved fourth generation G(4) of fermions, which are predicted to have electric charges different to their observed G(1-3) counterparts. This, together with quantum number conservation, eliminates the possibility of interactions between G(4) and G(1-3) fermions. Neutral G(4) composites are shown to provide candidates for baryonic Dark Matter, which is identified with the super-massive cores of galaxies. This could be examined in the light of recent observations of 'Little Red Dots' in the early Universe. Neutral leptonic G(4) composites provide candidates for the Dark Matter component of galactic halos.