The current foundations of Phase Differential Theory

The R00–R13 suite now provides the current foundational formulation of Phase Differential Theory. It sets out the relational primitives, phase composition, the last coherent survivor realisation principle and the assumptions used in physical models. The suite brings the mathematical starting point, selection results and conditional physical constructions into one reading sequence. It distinguishes what is assumed, what follows mathematically and what must be specified when a construction is identified with an actual physical system. R00 provides the guide to the suite. R01 to R03 establish the structural and selection account. R04 to R06 address operational quantum models, instruments and prediction. R07 to R11 address spatial carriers, clocks, matter, gravity and cosmology. R12 examines the requirements for a common physical history. R13 records verification and reproducibility. The earlier papers remain available as part of the development of PDT. Readers seeking the present formulation should begin with the current foundations. Availability: each R00 to R13 paper has a reading guide on this website, with its manuscript PDF available to view and download. The earlier development papers and the original series keep their downloadable manuscripts on their individual paper pages.