  Chryssomalakos and Okon, through a uniqueness analysis, have strengthened the
Vilela Mendes suggestion that the immunity to infinitesimal perturbations in
the structure constants of a physically-relevant Lie algebra should be raised
to the status of a physical principle. Since the Poincare'-Heisenberg algebra
does not carry the indicated immunity it is suggested that the Lie algebra for
the interface of the gravitational and quantum realms (IGQR) is its stabilized
form. It carries three additional parameters: a length scale pertaining to the
Planck/unification scale, a second length scale associated with cosmos, and a
new dimensionless constant. Here, I show that the adoption of the stabilized
Poincare'-Heisenberg algebra (SPHA) for the IGQR has the immediate implication
that `point particle' ceases to be a viable physical notion. It must be
replaced by objects which carry a well-defined, representation space dependent,
minimal spatio-temporal extent. The ensuing implications have the potential,
without spoiling any of the successes of the standard model of particle
physics, to resolve the cosmological constant problem while concurrently
offering a first-principle hint as to why there exists a coincidence between
cosmic vacuum energy density and neutrino masses. The main theses which the
essay presents is the following: an extension of the present-day physics to a
framework which respects SPHA should be seen as the most natural and systematic
path towards gaining a deeper understanding of outstanding questions, if not
providing answers to them.
