Research programme
The arc
of the work.
The evolution of the Phase Differential Theory research programme: from its earliest foundations through mathematical development, published research, experimental proposals, software, simulations, and the continuing expansion of the framework.
Current status
- Active independent scientific research programme
- Published mathematical and theoretical research
- Explicit experimental predictions
- Public falsifiability framework
- Ongoing mathematical development
- Experimental collaborations welcomed
- Software and simulation platform under active development
- Book manuscript in active preparation
- Applied research in quantum computing, artificial intelligence, and data compression
Milestones
The arc of the programme.
2023
Foundations
Development of the phase differential primitive and the earliest mathematical framework.
2024
Core theory
Expansion of the theoretical foundations, relational geometry, dynamics, and quantum framework.
2025
Public research programme
Publication of the core research papers together with experimental proposals and the public falsifiability framework.
2026
Programme expansion
Expansion into matter, gravity, cosmology, physical constants, mathematical physics, software, simulations, laboratory development, and the forthcoming Phase Differential Theory book.
Continuing
Active research
Continued mathematical development, experimental proposals, software, simulations, educational resources, and applied research.
Streams
Current research areas.
The programme advances as parallel research streams. Each develops independently while feeding back into the shared framework.
Foundations & mathematical physics
Development of the relational mathematical framework underlying PDT.
Quantum mechanics
Measurement, coherence, phase dynamics, and quantum foundations.
Matter formation
Particle structure, mass generation, and stable phase configurations.
Gravity & geometry
Emergent geometry, gravitation, inertia, and spacetime structure.
Cosmology
The early universe, dark matter, dark energy, black holes, and large-scale structure.
Physical constants
Investigating whether fundamental constants emerge from deeper relational structure.
Mathematical physics
Current work relating PDT to Yang Mills, Navier Stokes, and other open mathematical problems.
Experimental programme
Published experimental proposals and measurable predictions.
Software & simulations
Computational modelling, visualisation, analytical tools, and numerical exploration.
Applied research
Quantum computing, artificial intelligence, engineering applications, and relational data compression.
The book
Development of the 76 chapter Phase Differential Theory manuscript.
Experimental programme
Independent experimental investigation remains central to the programme. The following published proposals describe measurable predictions; further proposals will be added as the programme develops.
- Matter wave coherence floor (sub-percent regime)
- Short-range Yukawa coupling deviation at the millimetre scale
- Parity-violating phase signature in entangled photon decoherence
Next objectives
- Continue mathematical development of the PDT framework.
- Expand independent experimental collaborations.
- Release additional software, simulations, and computational research tools.
- Complete and publish the Phase Differential Theory book.
- Continue applied research across quantum computing, artificial intelligence, engineering, and data compression.
- Expand educational resources supporting readers, researchers, universities, and collaborators.
Research philosophy
How the work develops.
Phase Differential Theory develops through mathematics, experimental proposals, software, simulations, independent criticism, and continual refinement.
Ideas are published openly so they can be examined, challenged, reproduced, improved, or rejected.
Scientific progress depends upon transparency, reproducibility, and independent verification rather than authority.