PDT F
Structural foundations
Relations, phase representation, admissible candidate structure and retained history. A6 is identified explicitly as the additional realisation commitment.
Current foundations
PDT
Foundations
The current foundations of Phase Differential Theory set out its relational starting point, its realisation principle and the mathematical constructions connecting them to physical models. The R00–R13 suite provides the reference framework for the present theory, with assumptions and the scope of each result stated explicitly.
Earlier PDT papers remain available as part of the research record. For the current formulation of the axioms and their consequences, begin with the foundational suite below.
Current foundationsR00 suite guide and 13 foundational papers
Status
“Current foundations” identifies the reference formulation of the theory. It does not by itself mean peer reviewed, experimentally confirmed or an unconditional derivation of all physics. Publication availability, mathematical scope, journal review and experimental evidence are recorded as separate facts. Manuscript PDFs for the full R00 to R13 suite are available to view and download below.
Reading order
The foundational suite
R00
Foundational suite and review guide
The guide to the suite, its reading order, the three PDT layers and the additional premises used in physical models.
Suite guide
R01
Core axioms and consistency
The relational primitives, phase composition, retained history and the additional A6 realisation commitment.
R02
Phase transport and complex structure
Loop phase, the minimal real phase carrier and the limits of what scalar phase information determines.
R03
Selection and persistent records
Conditions for a unique surviving candidate, symmetry obstructions and conditional record stability.
R04
Quantum states probability and dynamics
Quantum probability and dynamics under explicitly stated operational premises.
R05
Exclusion dynamics and realisation
Specified exclusion instruments, their implementations and the distinction between exact exclusion and robustness under noise.
R06
Composite systems Bell correlations and prediction
Composite systems, a conditional Bell-nonlocal completion, no-signalling requirements and prediction.
R07
Spatial carriers metric and orientation
Conditional constructions of internal spatial carriers, metric structure and orientation persistence.
R08
Clocks scales and physical identification
The distinction between record order, physical clocks and calibration, including the freedoms calibration leaves unresolved.
R09
Interactions matter and refinement
Compatible interaction and matter models, with the assumptions and limits involved in refinement.
R10
Gravity and conditional Einstein dynamics
Gravitational dynamics within a declared metric and action class, including the obligation to account for total stress.
R11
Cosmology and effective stress
Conditional cosmological models and the constraints imposed by stress and dilution.
R12
Joint closure and the realisation boundary
The requirements for a common physical model and the distinction between physical closure and the adopted actuality boundary.
R13
Mathematical audit and reproducibility
The verification record, mathematical provenance and reproducibility of the suite.
Structure
The three PDT layers
PDT P
Physical models
The identification of preparations, apparatus, clocks, interactions and geometry, with the premises required for each physical construction.
PDT U
Realised physical history
The requirement that physical modules belong to a common history with compatible observations, records and stress accounting.
A6
The realisation principle
A6 applies when a specified admissibility process reaches a first finite stage with exactly one candidate remaining. That candidate is taken to be realised and recorded. The principle does not, by itself, guarantee that every process reaches such a stage or determine the apparatus dynamics.