  Strong, electromagnetic, and weak forces were unified in the Standard Model
(SM) with spontaneous gauge symmetry breaking. These forces were further
conjectured to be unified in a simple Lie group gauge interaction in the Grand
Unification (GUT). In this work, we propose a theory beyond the SM and GUT by
adding new gapped Topological Phase Sectors consistent with the nonperturbative
global anomaly cancellation and cobordism constraints (especially from the
baryon minus lepton number ${\bf B}-{\bf L}$, the electroweak hypercharge $Y$,
and the mixed gauge-gravitational anomaly). Gapped Topological Phase Sectors
are constructed via symmetry extension, whose low energy contains unitary
Lorentz invariant topological quantum field theories (TQFTs): either 3+1d
non-invertible TQFT, or 4+1d invertible or non-invertible TQFT (short-range or
long-range entangled gapped phase). Alternatively, there could also be
right-handed "sterile" neutrinos, gapless unparticle physics, more general
interacting conformal field theories, or gravity with topological cobordism
constraints, or their combinations to altogether cancel the mixed
gauge-gravitational anomaly. We propose that a new high-energy physics frontier
beyond the conventional 0d particle physics relies on the new Topological Force
and Topological Matter including gapped extended objects (gapped 1d line and 2d
surface operators or defects, etc., whose open ends carry deconfined
fractionalized particle or anyonic string excitations) or gapless conformal
matter. Physical characterizations of these gapped extended objects require the
mathematical theories of cohomology, cobordism, or category. Although weaker
than the weak force, Topological Force is infinite-range or long-range which
does not decay in the distance, and mediates between the linked worldvolume
trajectories via fractional or categorical statistical interactions.
