New Geophysics of critically microcracked rock is a new understanding of fluid-rock deformation that matches much of the behaviour of in situ rock observed throughout the Earth's crust and uppermost mantle. The behaviour of rock in New Geophysics: is self-similar; can be monitored, calculated, predicted, even in principle controlled; prevails in almost all rocks; and has ‘butterfly-effect’ sensitivity. All of these remarkable features (except controllability) have been observed, in some cases many times. However, New Geophysics is innovative, controversial, and currently “ridiculed” and “violently opposed” (Schopenhauer Stages 1 and 2), and is difficult to get published via consensus-driven peer-review. Consequently, in the last 10 years, various aspects of New Geophysics have been published in some 20 different journals and conference proceedings making it difficult to access by the general reader. This review presents a synopsis of what is believed to be a fundamental advance in solid Earth geoscience.