We discuss the possibility that heavy-fermion superconductors involve
odd-frequency triplet pairing. A key technical innovation here is a Ma
jorana representation for the local moments which avoids the use of a
Gutzwiller projection. We employ the Kondo lattice model and develop a
mean-field theory for odd-frequency pairing that entails pairing betw
een local moments and conduction electrons, as described by a spinor o
rder parameter. We confirm that the Meissner stiffness is positive and
the state is stable. A residual band of gapless quasiparticles whose
spin and charge coherence factors vanish linearly in energy, decouples
from the condensate. The unusual energy dependence of these coherence
factors leads to a T3 NMR relaxation rate at a conduction electron si
te that coexists with a linear specific heat. Two verifiable predictio
ns of the theory are (i) that a Korringa relaxation will fail to devel
op in heavy-fermion superconductors, even in the limit of strong pair
breaking and severe gaplessness and (ii) that the hither-to unmeasured
NMR relaxation rate at the actinide or rare-earth site will become ex
ponentially activated in the superconducting phase.