Author
Graham Fincham
Lead author of the Phase Differential Theory. Responsible for the framework's primitive, its derivations, and the falsifiability commitments. Lead Author of the book.
About
The framework
and the people
behind it.
An open scientific research programme exploring Phase Differential Theory through mathematics, physics, software, simulations, experiments, and a forthcoming book. Every major idea is presented for independent scrutiny, experimental testing, and continual refinement.
How the programme started
A single question, openly investigated.
Phase Differential Theory began with a simple question.
Although quantum mechanics and general relativity are extraordinarily successful, important foundational questions remain unresolved. Could a simpler underlying physical principle provide a common explanation for phenomena that currently require separate conceptual frameworks?
The programme began by searching for the smallest possible set of physical assumptions from which a wider description of reality might emerge.
That search led to the proposal that phase differential (ΔΦ) may represent a more fundamental relational quantity than many traditionally assumed physical primitives. Since then, the programme has focused on exploring the mathematical, physical, and experimental consequences of that idea while identifying the conditions under which it would need to be revised or rejected.
Today the research programme spans theoretical physics, mathematical development, software, simulations, experimental proposals, artificial intelligence, quantum computing, data compression, and an accessible book written for non-specialist readers. Each area develops alongside the others as the framework continues to evolve.
Authors
Developed through independent research, open collaboration, and ongoing scientific discussion.
Questions, constructive criticism, collaboration enquiries, and thoughtful scientific discussion are welcomed. The programme is intended to evolve through independent scrutiny and open engagement with the wider scientific community.
Co-author
Dan Hilton
Co-authoring the applied and experimental thread. Focused on mathematical papers and the operational programme that surrounds the theory.
Research programme
The arc so far.
- 2022
First sketches
The phase differential primitive is identified as a candidate foundation.
- 2023
PTG series begins
Foundational kinematics and dynamics drafted as the PTG papers.
- 2024
QM series begins
The quantum mechanical reconstruction is published in stages.
- 2025
Public archive opens
The full programme is published openly and the falsifiability commitments are made public.
- 2026 to present
Expansion of the research programme
Continued development across theory, mathematics, software, simulations, experiments, applied technologies, and the forthcoming book.
Setting expectations
What PDT is not.
Not a theory of everything
It is a candidate foundation. It needs to be tested, extended, and likely corrected.
Not metaphysics
Every load bearing claim is tied to a derivation or to a falsifiable signature.
Open research
Research papers, software, simulations, and supporting material are published openly wherever practical to encourage independent scrutiny, collaboration, and reproducibility.
Not finished
It is a live research programme. The framework status page tracks what is settled and what is not.
A commitment to scientific openness
Openness, criticism, and experimental testing.
Scientific progress depends upon openness, criticism, and experimental testing.
The Phase Differential Theory research programme is committed to publishing meaningful progress alongside recognised limitations. Where ideas evolve, those changes will be documented openly. Where predictions are tested, both positive and negative outcomes should help guide future development.
The purpose of publication is not to seek agreement but to encourage careful examination, independent verification, constructive criticism, and experimental investigation.
The research archive, software, simulations, and supporting material will continue to expand alongside the programme. The accompanying book is intended to make the ideas accessible to a wider audience while remaining faithful to the underlying research.
That commitment to openness, transparency, reproducibility, and continual refinement is the foundation on which this project is built. See the falsifiability commitments for the operational version.