Phase Differential Theory
Can one physical mechanism unify
Quantum Mechanics and General Relativity?
Phase Differential Theory proposes that phase relationships, evolving under finite coherence constraints, provide the missing physical mechanism behind measurement, gravity, time and the emergence of reality.
An open invitation to scrutiny.
Watch
Introduction to Phase Differential Theory.
A short introduction to the core ideas, motivations, and research programme behind PDT.
Watch the introduction to Phase Differential Theory
A concise overview of the framework, its central ideas, and the questions it seeks to answer. Ideal for first-time visitors before exploring the papers, book, or research programme.
In one paragraph
What PDT actually says.
Phase Differential Theory proposes that reality is fundamentally organised by phase differentials rather than particles, probabilities, or spacetime. Beginning with a single primitive quantity, ΔΦ, the framework investigates whether coherence, geometry, matter, interactions, and time can emerge from its dynamics. PDT aims not merely to reinterpret existing physics, but to derive familiar structures as consequences of a deeper relational framework while making experimentally testable predictions.
Core primitive
The phase differential. The fundamental relational quantity in PDT.
Primary relation
Observable outcomes emerge from realised phase differential propagated through the coherence structure of reality.
Central idea
Observable physics emerges from the evolution, coupling, and resolution of phase differentials.
The book
The complete framework,
from first principles.
Nine parts. Seventy-six chapters. A step-by-step reconstruction of physics from phase, coherence and resolution. Written for scientists, engineers and serious readers, with formal axioms and falsifiability conditions in the appendices.
- Parts
- 9
- Chapters
- 76
- Appendices
- 4
Start here
A short path for new visitors.
A recommended route through the site: from the problem PDT addresses, through the core concepts, into the book, papers, laboratory, videos and experimental programme.
Development roadmap
PDT development roadmap.
A living map of the research programme. Completed milestones alongside open work.
Foundations
Complete
Mathematical framework
Complete
Measurement
Complete
Phase snap
Complete
Relational thermodynamics
Complete
Quantum foundations
Complete
Particle mass programme
In development
Experimental validation
In development
Independent verification
In development
Laboratory expansion
In development
Future research
In development
The research programme
One missing mechanism.
One possible solution.
Modern physics successfully describes nature, yet foundational questions remain unresolved. General relativity successfully describes the geometry of spacetime, while quantum mechanics successfully describes microscopic phenomena. Neither theory explains why geometry, matter, and quantum behaviour arise from a common underlying framework.
PDT investigates whether a single relational quantity, phase differential (ΔΦ), provides that common foundation. The research programme develops the geometry of phase relationships, the dynamics defined upon them, and explores whether quantum phenomena, matter formation, geometry, and cosmological structure can emerge from a common underlying framework.
The goal is not merely interpretation. The goal is prediction. The framework is accompanied by explicit experimental predictions and clear conditions under which it can be tested, challenged, and potentially falsified.
Latest research
Recent activity across the programme.
A running record of newly released papers, active projects and ongoing experimental work. Not a blog. A research activity feed.
PDT-MC-1: Mathematical Closure Supplement
PDT-III: Differential Transport, Collapse Dynamics, and the Coherence Horizon
PDT-II: Mass Hierarchy and Sector Amplification
PDT-I: Axiom 0, Finite Coherence Capacity, and the Emergence of a Positive Stability Threshold
Relational Thermodynamics
Deriving temperature, entropy and the ground state from relational transport.
Particle Mass Programme
Predictive mass structure from relational phase geometry.
Experimental Programme
Interferometric tests, precision spectroscopy and entangled decoherence.
What PDT attempts to explain
Where standard physics stops, and where PDT continues.
A working table, not a marketing chart. Each PDT entry reflects the current research programme and is subject to experimental scrutiny and falsification.
Problem
Wavefunction collapse
Standard physics
Postulated
PDT proposal
Phase snap
Problem
Born rule
Standard physics
Assumed
PDT proposal
Emergent effective limit
Problem
Measurement problem
Standard physics
Unresolved
PDT proposal
Deterministic resolution
Problem
Quantum to classical boundary
Standard physics
Unclear
PDT proposal
Coherence threshold
Problem
Geometry
Standard physics
Fundamental
PDT proposal
Emergent
Problem
Time
Standard physics
Fundamental parameter
PDT proposal
Emergent ordering of phase resolutions
Problem
Gravity
Standard physics
Fundamental interaction
PDT proposal
Emergent phase geometry
Problem
Quantum gravity
Standard physics
Unresolved
PDT proposal
Common phase-differential foundation
Problem
Dark matter
Standard physics
Unknown
PDT proposal
Distinct phase-coherence state
Problem
Matter formation
Standard physics
Descriptive models
PDT proposal
Emergent phase structures
Problem
Information
Standard physics
Secondary quantity
PDT proposal
Derived from phase relations
PDT does not claim these questions are solved. It proposes a common relational framework based on phase differential from which these phenomena may emerge. The framework is offered for scrutiny, testing, and falsification.
Current research programme
Areas under active investigation.
Open research lines within Phase Differential Theory. Each is a working programme, not a completed result.
- 01
Emergent geometry from phase differential
- 02
Matter formation and particle mass structure
- 03
Quantum gravity and spacetime emergence
- 04
Dark matter as a phase-coherence state
- 05
Emergence of physical constants
- 06
Fine-structure constant derivation
- 07
Planck-scale relational dynamics
- 08
Yang-Mills mass-gap connections
- 09
Navier-Stokes regularity connections
- 10
Experimental tests of PDT predictions
These research programmes remain under active development and are documented throughout the published PDT papers. They represent ongoing investigations rather than completed results.
Potential applications
Where the framework could lead.
Areas where Phase Differential Theory may have practical applications if its underlying physical framework is supported through continued theoretical and experimental development.
- 01
Quantum computing
Exploring coherence-aware algorithms, phase-based optimisation, and new approaches to quantum information processing.
- 02
Artificial intelligence
Investigating relational reasoning, phase-inspired architectures, and emergent computational structures.
- 03
Data compression
Applying relational phase concepts to lossless and predictive compression methods.
- 04
Complex systems
Studying phase organisation across biological, physical, and networked systems.
- 05
Advanced sensing
Using phase coherence analysis for precision measurement, synchronisation, and anomaly detection.
- 06
Scientific computing
Developing new computational tools for modelling emergent physical systems.
These application areas are exploratory and remain dependent upon the continued development and validation of the underlying PDT research programme. They represent potential directions for future engineering and scientific investigation rather than established technologies.
Three pictures
The framework, in three diagrams.
The primitive, the chain of emergence, and how a measurement event is interpreted within PDT.
The primitive
Chain of emergence
Phase snap
Where the work is
An active research programme.
Phase Differential Theory is an active research framework investigating whether phase differential (ΔΦ) provides a common relational foundation for quantum mechanics, geometry, matter, gravity, time, and cosmology.
The programme combines theoretical development with explicit experimental proposals and is guided throughout by a commitment to falsifiability and open scientific scrutiny.
Current programme
- Quantum foundations
- Emergent geometry
- Matter formation and particle structure
- Gravity and quantum gravity
- Time as an emergent ordering of realised phase events
- Cosmology and large-scale structure
- Experimental predictions and falsification tests
Current status
- Published technical research programme
- Explicit experimental predictions
- Three published falsifiable signatures
- Open peer review actively encouraged
- Experimental programme defined
- Ongoing theoretical development
Three ways in
Pick your route.
The work is built so a curious reader and a working physicist can both get something real on the first visit.
Read the theory
A plain language tour of the primitive, the dynamics, and the measurement story. Twenty minutes.
StartRead the papers
Published research, reader summaries, abstracts, falsifiable predictions, and citation information on every publication.
Open the libraryEnter the lab
Live visualisations of phase rings, interference, measurement, and emergent geometry.
Open the labA unified framework
Six domains. One primitive.
Quantum mechanics
Quantum behaviour emerges from phase dynamics and coherence resolution.
Geometry
Geometry emerges from relational phase organisation.
Measurement
Measurement emerges through deterministic phase snap.
Matter
Stable phase structures give rise to particles and interactions.
Time
Time emerges from the ordering of realised phase events.
Cosmology
Large-scale structure emerges from phase dynamics across scales.
Each domain explores how familiar physical phenomena may emerge from a common relational quantity: phase differential (ΔΦ).
A scrolling narrative
Journey through Phase Differential Theory.
A twelve-step arc from the measurement problem to the laboratory and the book. Scroll to follow the argument.
The measurement problem
Where standard physics gives way to interpretation.
Collapse
The point at which unitary evolution stops explaining.
Probability
A calculational success that hides a missing mechanism.
Phase
A system's position within its own cycle. A physical primitive.
Phase differential
The relational quantity ΔΦ from which everything is built.
Phase snap
A deterministic transition at a critical coherence threshold.
Quantum mechanics
Recovered as the statistics of resolved phase events.
Gravity
Reinterpreted as phase curvature rather than geometric postulate.
Cosmology
The Big Bang recast as a universal phase-snap.
Predictions
Specific, measurable signatures that could falsify the framework.
Laboratory
Interactive experiments that let anyone probe the mechanisms.
Book
The complete argument, chapter by chapter.
Key takeaway
If phase is the missing primitive, quantum mechanics, gravity and time are not separate mysteries. They are the same mechanism, seen from different distances.
What would falsify PDT
Scientific theories earn credibility by making predictions that could prove them wrong.
Phase Differential Theory is built around explicit experimental commitments. The framework makes measurable predictions that differ from conventional expectations and identifies the observations that would require its revision or rejection.
If these predicted signatures are not observed within the stated experimental precision, the relevant parts of the framework must be revised or abandoned.
That is the scientific contract.
PDT is intended to be tested, challenged, and, where necessary, falsified by experiment.
Current experimental programme
- Matter-wave coherence measurements
- Short-range Yukawa-force tests
- Entangled-photon phase measurements
These represent the current published experimental programme. Additional experimental proposals will be incorporated as the research programme develops.