The growing body of anomalies in new energy, low energy nuclear reactions, astrophysics, atomic physics, and entanglement, combined with the failure of the Standard Model and string theory to predict many of the most basic fundamental phenomena, all point to a need for major new paradigms. Not Band‐Aids, but revolutionary new ways of conceptualizing physics, in the spirit of Thomas Kuhn’s The Structure of Scientific Revolutions. This paper identifies a number of long‐held, but unproven assumptions currently being challenged by an increasing number of alternative scientists. Two common themes, both with venerable histories, keep recurring in the many alternative theories being proposed: (1) Mach’s Principle, and (2) toroidal, vortex particles. Matter‐based Mach’s Principle differs from both space‐based universal frames and observer‐based Einsteinian relativity. Toroidal particles, in addition to explaining electron spin and the fundamental constants, satisfy the basic requirement of Gauss’s misunderstood B...