1967. Relationship and overlaps between superconvergence

and finite-energy sum rules.

1971. New one-parameter fit to the proton electromagnetic

form factor which improved on the traditional dipole formula.

1976. First calculation of vacuum decay in quantum

field theory, subsequently used in inflationary cosmology.

1980. First examples of grand unification of flavour

including an SU(9) model.

1982. First calculation of hexagon anomaly for gauge theories in

ten spacetime dimensions, subsequently used in superstring theory.

1986. Published *Gauge Field Theories* text book. 2nd edition 2000;

3rd edition 2008. Together the 3 editions sold 10,000 copies.

1987. Co-inventor of chiral color theory which predicted axigluon

particle.

1988. Initial development of p-Adic strings.

1992. Invented extension of the standard model which explains

occurrence of three quark-lepton families and predicts |Q|=|L|=2

bilepton resonance in like-sign lepton pairs.

1995. Introduction of binary tetrahedral group as flavour symmetry

for quarks and leptons.

1999. Initial development of quiver gauge theories.

2002. First relationship derived between CP violation in

high-energy leptogenesis and low-energy neutrino oscillations.

2002. Studied the allowed texture zeroes in the neutrino mass

matrix.

2007. Invented novel model for cyclic cosmology which resolves

the Tolman entropy conundrum.

2010. Axigluon explanation for top quark-antiquark asymmetry

in proton-antiproton scattering.

2010. Used entropic gravity to explain the accelerating

cosmological expansion.

2010. Invented production mechanism for arbitrarily high mass

primordial black holes.

2015. Proposal that the dark matter constituents are primordial

black holes with many solar masses.

2018. Proposed as the reason for the existence of cosmological

dark matter the compliance of the entropy of the universe with

the second law of thermodynamics.

2020. Co-discoverer of general theorem on hierarchies of masses

and mixing angles in particle theory flavour physics.

__Career 1967-2020__

The 386 citeable research papers have over 10,000 citations.