Citations and attribution
Cite the work,
quote it cleanly.
Guidance for citing, referencing, quoting, and attributing work from the Phase Differential Theory research programme. Whether you are writing an academic paper, article, book, review, teaching material, or media report, this page explains how the work should be referenced accurately and consistently.
Academic citation
Cite the paper that contains the result.
Cite the individual paper whenever discussing a specific derivation, theorem, experiment, or prediction. Cite the wider Phase Differential Theory research programme only when referring to the framework as a whole.
Include the DOI wherever available, and use the most recent published version of each paper. BibTeX entries remain available on every individual paper page; copy them directly into your reference manager.
Citing the research programme
When you mean the programme, not a paper.
When referring to Phase Differential Theory as a whole, cite the Phase Differential Theory research programme together with the project website.
When discussing a particular mathematical result, derivation, theorem, prediction, or experimental proposal, always cite the individual research paper in which that work appears.
Avoid referring to a fixed number of papers, as the research programme continues to evolve.
DOI library
Stable identifiers for every published paper.
Every published research paper has a canonical DOI. Where available, these identifiers should be used in preference to website references for formal academic citation.
PTG I
The phase differential primitive
10.5281/zenodo.ptg-iPTG II
Kinematic structure
10.5281/zenodo.ptg-iiPTG III
Dynamics and the analogue of a metric
10.5281/zenodo.ptg-iiiQM V
Precision phenomenology and falsifiable signatures
10.5281/zenodo.qm-vBook citation
When the book lands.
The forthcoming Phase Differential Theory book presents the research programme as one connected narrative for both specialist and non-specialist readers.
Until a formal edition is published, technical claims should be cited using the corresponding research papers.
Once published, each edition of the book will include its own recommended citation together with ISBN and DOI information where applicable. Details will appear on the book page.
Authorship
Authorship.
Phase Differential Theory was initiated by Graham Fincham and is being developed through an ongoing collaboration with Dan Hilton, together with continuing contributions from reviewers, collaborators, and independent scientific discussion.
When citing individual research papers, please use the author list published on that paper.
When referring to the wider research programme, use the project attribution recommended on this page. See the about page for further context.
Press guidance
Call it PDT.
Use Phase Differential Theory on first reference. Thereafter, the abbreviation PDT may be used.
When discussing specific scientific claims, mathematical developments, predictions, or experimental proposals, reference the relevant research paper wherever possible.
Journalists, publishers, educators, and media organisations are encouraged to contact the PDT team if clarification or supporting material would be helpful. Quotes, headshots, and short technical reviews are available through the media kit, or directly via the contact page.
Reuse and attribution
Reuse, derivative work, translation.
Short quotations with appropriate attribution are welcome.
Requests to reproduce figures, extended extracts, translations, educational material, or substantial portions of the work should be made through the contact page.
Reasonable requests for educational, academic, scientific, and non-commercial use will normally be considered promptly.
Teaching and educational use
Use in courses, seminars, and reading groups.
Educators, universities, research groups, and reading groups wishing to use PDT material in teaching, seminars, or discussion sessions are encouraged to contact the PDT team for guidance, supporting resources, and the most appropriate material for their audience.
Enquiries can be sent through the contact page.