A new hypothesis for stellar Discrete-transitional Mechanics (DTM) is presented based on the Infophysical Spacetime Model (ISM). The concept of spatiotemporal scale-constants is explained using familiar computer jargon and later applied to the stellar scope of Reality. The DTM are used to derive the de Broglie matter-wave relativistic relations by means of the stellar spatial density (frequency) spectrum (SDS) in the Fourier spatial density domain. A tentative value for the stellar spatiotemporal scale-constant is also postulated. The energy, mass and momentum de Broglie relativistic relations are derived, by the same means, without resorting to four dimensional Minkowsky spacetime or to the isotropy of the speed of light, resulting in novel implications such as, discrete-transitional motion and its kinematical properties, natural uniform circular motion in the absence of gravity, universal 3-sphere motional geometry, interscopal coupling, wave-particle equivalence, apodization/containment functions, transitional variables, transactional particles, etc., thus resulting in a novel Discrete-transitional Mechanics (DTM) hypothesis which encompasses Quantum Mechanical concepts, de Broglie matter-waves, Special Relativity and Classical Mechanics.