Honest
answers.

Phase Differential Theory (PDT) treats phase, and more specifically the differential of phase between relations (ΔΦ), as the basic relational primitive of physics. Within this framework, properties such as mass, charge, gravitation, and measurement are investigated as emergent features of how phase drifts, locks, and interferes. PDT seeks to recover standard quantum mechanics in one limit and to investigate whether general relativity emerges as an effective large-scale description in another.

PDT investigates whether the structure of physical reality, from quantum behaviour through to gravitation and cosmology, can be derived from a single relational primitive: phase differential (ΔΦ). The programme asks how much of established physics can be recovered, and what new predictions follow, once relations between phases are treated as fundamental rather than fields on a pre-existing spacetime.

Two audiences. Curious readers who want to understand what the universe is doing without ten years of graduate physics, and working physicists who want to read the equations, check the derivations and test the predictions. Every page on the site is signposted for one of those two paths.

Phase differential is a minimal relational quantity: it requires two entities, not one, and carries no presupposed geometry, metric, or background. Starting from ΔΦ lets the framework attempt to derive geometry, dynamics, and units, rather than assuming them.

No. PDT is a research programme that aims to recover the established results of quantum mechanics, relativity, and thermodynamics within an underlying relational framework, and to make additional testable predictions. Established physics is the benchmark, not the target.

No. PDT is an active research programme. Significant portions of the formalism are well developed, others are under construction, and several questions remain genuinely open. The framework is treated as a living body of work rather than a finished theory.

PDT aims to recover standard quantum mechanics in the appropriate limit and investigates whether familiar quantum behaviour, including wavefunction evolution and Born-rule statistics, can emerge naturally from an underlying phase framework while preserving the successful predictions of standard quantum mechanics. The programme also proposes explicit, falsifiable departures where the standard formalism is silent. If those predictions fail, the relevant components of PDT fail; quantum mechanics as currently used continues to apply.

Phase Differential Theory (PDT) was initiated by Graham Fincham and is being developed through an ongoing collaboration with Dan Hilton, together with continuing input from reviewers, collaborators, and independent contributors. The programme combines theoretical development, mathematical review, software, simulations, experimental planning, and open scientific discussion. The contact channel is monitored and triaged within a working week.

PDT investigates whether standard quantum mechanics can be recovered as the small-drift, high-coherence limit of an underlying phase framework, with the wavefunction, the Born rule, and unitary evolution emerging from phase dynamics rather than being postulated. PDT also proposes small, testable departures from standard quantum mechanics in regimes that current precision experiments are starting to reach.

PDT investigates whether general relativity can emerge as an effective large-scale description from underlying phase dynamics. In the long-wavelength, weak-drift limit of Phase-Theoretic Gravity, the programme seeks to recover curvature, the Einstein field equations, and the equivalence principle. The framework also proposes measurable corrections in strong-field and short-distance regimes that can, in principle, be tested experimentally.

In PDT, time is treated as the ordering of realised phase events rather than a fundamental background coordinate. Familiar time then emerges as a coarse-grained measure of phase event density across coherent regions.

The primitive object in PDT is a phase rosette with six-fold symmetry. It is not chosen for aesthetics. PTG IV derives it as the unique stable configuration under the dynamics, and the symmetry constrains everything that follows.

Matter is modelled as stable, self-coherent phase structure: long-lived patterns of locked relations that resist decoherence. Mass, charge, and other properties are investigated as derived attributes of these patterns rather than fundamental labels.

PDT investigates whether several physical constants can be recovered as ratios fixed by the coherence and propagation properties of phase structure. Recovery of their measured values is an active area of work and is treated as a constraint on the framework rather than a free parameter.

Within PDT, black holes are investigated as regions of extreme phase coherence where local update rates approach saturation. The programme seeks to recover standard horizon thermodynamics while clarifying the information question in relational terms. This remains an active area of investigation rather than a closed result.

The principal open questions concern the full derivation of the Standard Model spectrum from phase structure, the precise mechanism of cosmological phase drift, and a complete account of measurement in many-body settings. These are the focus of current work.

PDT proposes that a gravitational-like coupling arises as one regime of a single phase propagator, alongside short-range and Coulomb-like couplings. The programme investigates whether curvature can emerge from phase dynamics rather than being postulated. This is not a finished theory of quantum gravity; it is an active line of research within the broader programme.

PDT does not yet provide a closed derivation of every particle mass, mixing angle, or cosmological parameter, nor a fully worked quantum field theory in curved phase geometry. These remain targets of the programme and are stated openly rather than glossed over.

PDT proposes that some of what is currently attributed to dark matter may be a phase structure effect at galactic and intergalactic scales. This is an open line of investigation within the research programme rather than a closed claim, and is presented transparently as such.

Three signatures, written out in QM V. A sub-percent coherence floor in matter wave interferometry, a small deviation in short-range Yukawa coupling, and a parity-violating phase signature in entangled photon decoherence. Any one absent at the precision now achievable, and the theory fails.

Yes. A manuscript is in active drafting and will be released in stages. The book takes the formal papers and walks the reader from the primitive through to the experimental signatures in a single continuous argument. See the book page for the current part structure and progress.

Parts will be released as they reach a stable draft, rather than waiting for a finished volume. The mailing list is the fastest way to be told when a new part lands.

The papers present results in technical form. The book provides a connected narrative across the programme, accessible to readers who want the argument and its consequences without working through every derivation. The two are complementary.

The book is written for serious general readers, students, and researchers from neighbouring fields. Mathematical detail is signposted but kept out of the main flow, so the argument can be followed without specialised background.

Yes. The book is treated as a living document. Revisions will track significant developments in the underlying research, with changes recorded transparently rather than absorbed silently.

The Lab is the public working environment for the programme. It hosts interactive visualisations, simulations, experimental proposals, and software intended to make the theoretical work testable and inspectable by others.

Current and planned simulations cover phase lattices, coherence dynamics, deterministic phase snap, emergent electromagnetic behaviour, and early models of emergent gravity. The set expands as the research progresses.

Yes. The tools in the Lab are intended for use by researchers, students, and independent investigators. Where licences apply, they are stated alongside each tool.

Yes. New simulations are added as new aspects of the framework reach the stage where numerical investigation is meaningful. The Lab is intended to grow with the programme.

The simulations and visualisations built around the framework are being released as the lab page matures. The aim is for every computational claim to be reproducible from published code.

Several tools developed for PDT, particularly those concerned with coherence, signal structure, and high-density information representation, have potential applications beyond the framework itself. Such applications are explored where they arise.

Quantum computing represents an active application of the coherence framework rather than a completed result of PDT. The relational treatment of coherence and measurement is being explored for its relevance to phase-based approaches to error structure and coherence preservation, as part of the wider applied research programme.

Artificial intelligence is an applied research direction inspired by PDT rather than a core component of the physical theory. Work in this area explores phase-structured representations relevant to learning systems, with a focus on stability, generalisation, and the limits of coherence in large models. Findings here do not stand or fall with PDT itself.

Data compression research is an applied technology inspired by relational phase concepts rather than a foundational element of PDT. The framework motivates exploratory compression schemes based on phase relations rather than raw amplitudes, and prototypes are part of the active software work.

The news feed posts every meaningful programme milestone: paper releases, experimental results, book progress, software releases, and replies to serious critique. The mailing list mirrors the same updates by email.

The papers are the formal, citable record. The book is the continuous narrative built on top of them, written for working physicists who want the argument in one place. The lab is the live workbench: simulations, visualisations, experimental proposals, and software.

Active work spans the mathematical foundations of phase differential (ΔΦ), the recovery of quantum and relativistic results within the framework, cosmological applications, experimental proposals, and applied software in coherence-sensitive domains.

The relational foundations, the treatment of deterministic phase snap, and the work towards recovering core quantum behaviour and basic gravitational phenomena are the most mature parts of the programme.

Full derivation of the Standard Model spectrum, detailed cosmological predictions, and the complete formalism for many-body measurement remain under active investigation.

Refuted components are withdrawn or revised, and the change is recorded openly in the framework status. The programme is structured so that local failures do not require concealment, and global failure remains a possible outcome.

Three precision signatures are the current front line: a matter-wave coherence floor measurable in long-baseline atom interferometry, a scale-specific Yukawa-range deviation sharpest in the millimetre regime, and a parity phase in entangled-photon decoherence. Each is set out in detail in the experimental papers, and the framework status page tracks where the evidence currently sits. These are commitments of the research programme and are open to independent scrutiny.

Yes. We are actively seeking precision interferometry groups, short range gravity groups, and entangled photon experimentalists. Write through the contact page and describe what capability you bring and which prediction you want to test.

Yes. Several proposed experiments are within reach of standard university laboratories in optics, condensed matter, and precision metrology. Collaboration on design and execution is welcomed.

Yes. The experimental proposals are written to be reproducible outside any single group, and the software tools are public. Independent replication and critique are explicitly invited.

PDT commits to specific quantitative predictions, including thresholds for deterministic phase snap, coherence scaling laws, and small deviations from standard interference behaviour. If these are measured to be absent at the stated precision, the corresponding components of the framework are falsified. These commitments are documented openly and are not adjusted after the fact.

The papers are deposited on Zenodo with permanent DOIs, which makes them citeable and timestamped. Formal journal review is in progress for selected papers. The site lists current peer-review status on the Framework Status page.

Every paper page includes a BibTeX block you can copy directly. Use the Zenodo DOI as the canonical reference. If you cite the framework as a whole rather than a specific paper, cite PTG I and QM I together.

Open publication allows the work to be checked, criticised, and built upon without gatekeeping. It also makes the historical record of the programme inspectable, which is essential for any claim to scientific seriousness.

Parts of the mathematics have been reviewed by collaborators and external readers. Broader independent review is actively sought, and the papers are written to make such review tractable.

Corrections are issued as versioned updates with an explicit changelog. Errors are acknowledged rather than quietly overwritten, and the framework status page records significant revisions.

Yes. Negative results, failed predictions, and abandoned lines of work are published alongside positive results. A research programme that hides its failures cannot be trusted with its successes.

Yes. The three signatures set out in QM V are within reach of current cold-atom interferometry, precision torsion and force experiments, and entangled-photon work. The full phenomenology is published openly so any group can attempt independent replication.

On this site. Every paper has its own page with the abstract, reader summary, full text, predictions, BibTeX, and a download. The collection lives at the papers index.

The intention is commercial publication through an appropriate trade or academic publisher. Discussions with publishers and agents are welcomed.

Yes. Publishers and literary agents are invited to make contact through the publication enquiries channel on the book page.

Translation rights are available subject to agreement. Enquiries from translators and foreign-language publishers are welcomed.

Universities interested in using the material for teaching, seminars, or discussion are encouraged to contact the PDT team regarding appropriate use and supporting resources. The aim is to support genuine educational engagement while keeping a clear record of how the material is used and cited.

It means each paper commits to outcomes that would kill it. Specific numbers, specific experiments, specific signatures. If those numbers do not show up where PDT says they should, the relevant paper is wrong. The Framework Status page tracks every live prediction.

PDT is independent. The research is currently self funded with a small group of supporters. The support and investors pages describe how additional funding would accelerate the manuscript, the experimental collaborations, and the software programme.

Because the framework commits in public to falsifiable signatures that current precision experiments can already reach, and because the programme spans theoretical physics, mathematics, software, simulations, experimental proposals, and a forthcoming book, providing multiple avenues for future scientific and technological development. The investors page sets out the full thesis.

Plausible applied directions include phase-coherent communications, coherence-preserving quantum computing components, phase-based data compression, and learning systems built on phase-structured representations. These are research directions, not promises.

Use the contact form. Messages are read directly by the PDT team and routed to the most appropriate author or collaborator. State plainly whether you are a reader, a researcher, a journalist, or a collaborator, and a reply will come back through the same channel.

The fastest way is to read a paper and tell someone about it. Beyond that, join the mailing list for major releases, share predictions with experimentalists who can test them, and consider direct support through the channels listed on the Support page.

Yes. Contributions from physicists, mathematicians, engineers, and software researchers are welcomed. The contact page is the appropriate first point of entry.

Yes. Errors in the papers, software, or website are taken seriously and corrected openly. Reports through the contact page are appreciated.

Yes. Collaboration proposals from individuals, research groups, and institutions are welcomed and reviewed in good faith.