The Principles of Physical Law: Foundations of a Theory of Physics

This book applies physical principles, primarily principles of local causation and continuity to gauge field theory, to realise a common foundation for the standard model and general theory of relativity.

The result is a simple relativistic quantum theory with restrictive assumptions. The pure-gauge transformation of states is causal, with locally-Euclidean spacetime. The corresponding local Minkowski spacetime refers to quantum observables, including particles and gauge-invariant quantum fields.

The theory may explain: Aharonov-Bohm experiments and local determinism; quantisation and particle statistics; quantum non-locality; colour confinement and the 'double-copy' duality. Antimatter is defined by a continuous transformation and neutrinos are left-handed. The equivalence principle a consequence of universal spin-2 coupling to matter. The theory imposes an empirical constraint on the detection of gravitational radiation, apparently confirmed by ground-based detection at extra-low frequencies.

The third edition compares the theory with the standard model. A reduced cosmological constant and strong charge-parity invariance agree with experiment, gluon mass agrees with lattice gauge theory and the short range of the strong interaction. Supersymmetry becomes a symmetry with virtual quantum states.

Internal gauge transformation enables an additional source for the gravitational field, a conserved probability density.