Reading path
A technical
reading path.
Follow the R00 to R13 foundations in order, with the mathematics page as the accessible entry point: structure and selection, quantum instruments, physical models, then joint closure.
Technical evaluation
A technical reading path.
PDT takes distinctions, relational comparisons and circle-valued phase as its adopted starting structure, and adds the A6 realisation commitment.
Physical models are then built by stating further premises: operational assumptions for quantum probabilities, a declared metric and action class for gravity, and calibration inputs for clocks and scales.
The framework is presented as an open scientific research programme. Each result is stated with its objects, assumptions and scope, so mathematical consequences, model choices and experimental tests can be assessed separately.
Start with the current foundations
The R00–R13 foundational suite is the current formulation of PDT. Begin with R00, the suite guide, then follow the steps below.
The technical route
R00 → R01 to R03 → R04 to R06 → R07 to R11 → R12 and R13. The mathematics page is the accessible technical entry point; the foundational papers are the complete source. Links below lead to paper-level entries, not theorem anchors.
Step 1 of 5
Suite guide
The reading order, the three layers (PDT F structural foundations, PDT P physical identifications and models, PDT U a common realised history) and the premises used in physical models.
Step 2 of 5
Structure, phase and selection
Axioms A0 to A6, phase composition and the minimal carrier, and the conditions for a first unique survivor.
Theorems: R02.2, R03.1
Step 3 of 5
Quantum probabilities, instruments and exclusion
Effect probabilities under Q1, reversible dynamics, the exact exclusion construction and its noise limits, and composite systems.
Theorems: R04.1, R04.2, R05.1, R05.4
Step 4 of 5
Physical models
Internal geometry, clocks and calibration, matter, conditional Einstein dynamics within a declared action class, and cosmology.
Theorems: R10.1
Step 5 of 5
Joint closure and audit
The requirement for one common physical model, the realisation boundary, and the verification record.
Development context
Earlier papers
These earlier development papers show how the definitions and constructions developed. They are not the current formulation.
For status and tests: current research and falsifiability.
Suggested areas for independent evaluation
Where independent scrutiny is most useful.
- 01
Mathematical consistency
Review the assumptions, derivations, and internal consistency of the mathematical framework.
- 02
Recovery of established physics
Assess whether PDT successfully reproduces experimentally verified physics within the domains where existing theories have been tested.
- 03
Towards testable models
Assess which specified models could be developed into quantitative calculations and experimental protocols.
- 04
Open research questions
Review the mathematical, computational, and experimental questions that remain under active investigation.
Research updates
Substantive updates from the PDT research programme.
Receive occasional updates when new research papers, mathematical developments, experimental proposals, software releases, simulations, or significant revisions to the Phase Differential Theory research programme are published. No marketing. No routine newsletters. Only substantive research updates.