Speaker
Description
An extended accelerating body under ‘rigid motion’ by definition manifests unvarying separation between its constituents in all comoving inertial frames. Relationships be- tween constituents’ necessarily di↵ering yet constant accelerations—reflecting a nonuni- form, dynamically changing and moreover repulsive gravitational field—have been es- tablished by Woodhouse in 2003 using Minkowski spacetime, by Franklin in 2010 using Lorentz transformations, and by the present author in 2013 using unfamiliar yet simple inter-rocket radar period equations. A second ‘pseudo-rigor mortis’ attractive gravita- tional field scenario introduced in 2018 is now further considered. In both cases, radar trajectories are shown to exhibit unchanging inverse square root of two geodesic curvature on a corresponding real-metric spacetime surface of ubiquitously zero Gauss curvature.
Keywords: spacetime metric; own-surface; hemix; rigor mortis motion; radar paths; geodesics; Gauss curvature; gravitational fields.