2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182926We study the hidden symmetries of the fermionic sector of D=11 supergravity, and the role of K(E10) as a generalised `R-symmetry'. We find a consistent model of a massless spinning particle on an E10/K(E10) coset manifold whose dynamics can be mapped onto the fermionic and bosonic dynamics of D=11 supergravity in the near space-like singularity limit. This E10-invariant superparticle dynamics might provide the basis of a new definition of M-theory, and might describe the `de-emergence' of space-time near a cosmological singularity.15 pages, v2: updated references and typos corrected, v3: updated references and minor correctionsHigh Energy Physics - TheoryHidden symmetries and the fermionic sector of eleven-dimensional supergravitytext