Phase Differential Theory
Phase Differential
A Framework for Reality
Visits …

Framework status

Result
register.

The current foundations define PDT’s relational structure, realisation principle and conditional physical constructions. This register identifies the results, their assumptions and the physical questions being investigated.

Register

Results by area

Each area separates a proved conditional result, a supplied physical identification, an illustrative or numerical check, an experimental result and an open physical construction. No experimental result is listed because none has been documented.

Proved conditional result

Relational structure and phase composition

What the foundations establish

The relational primitives and the rules for composing phase information around closed comparisons (A0 to A5).

Additional model premises

None beyond the stated axioms.

Next question

Which physical systems carry the relational structure.

Verification or evidence

Mathematical proofs; exact-fraction examples on the mathematics page.

Source

R01R02Theorem R02.2 statement

Explanation

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Proved conditional resultIllustrative or numerical check

Selection and retained records

What the foundations establish

The last-coherent-survivor criterion and conditional record stability (A6 is the realisation commitment).

Additional model premises

A specified admissibility process supplying loss times.

Next question

Which apparatus dynamics supply the process.

Verification or evidence

Proof and worked example.

Source

R03Theorem R03.1 statement

Explanation

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Proved conditional result

Quantum probability and instruments

What the foundations establish

An operational quantum model, instruments, and an exact exclusion representation of a supplied projective instrument.

Additional model premises

A supplied instrument; physical application needs a preparation, interaction and record interpretation.

Next question

Apparatus, noise and record-storage models; prospective forecast evaluation.

Verification or evidence

Proofs; no apparatus test yet.

Source

R04R05R06Theorem R04.1 statementTheorem R04.2 statementTheorem R05.1 statementTheorem R05.4 statement

Explanation

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Proved conditional resultSupplied physical identification

Internal geometry and physical clocks

What the foundations establish

Conditional spatial carriers and clock constructions.

Additional model premises

A clock map and calibration identifying model time with physical time.

Next question

Physical clock and causal identification.

Verification or evidence

Mathematical constructions only.

Source

R07R08

Explanation

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Supplied physical identificationOpen physical construction

Matter, interactions and refinement

What the foundations establish

Conditional matter and interaction models.

Additional model premises

Matter content and couplings supplied as model inputs.

Next question

Independent selection of constants; refinement and continuum limits.

Verification or evidence

No calibration-independent prediction established.

Source

R09
Proved conditional resultSupplied physical identification

Gravitational and cosmological models

What the foundations establish

Conditional geometry and gravity once stress is specified.

Additional model premises

An explicit stress tensor and matter content.

Next question

Cosmological models with explicit matter and stress.

Verification or evidence

Mathematical results; no observational comparison yet.

Source

R10R11Theorem R10.1 statement

Explanation

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Open physical construction

Joint physical history

What the foundations establish

The requirements a common matter, geometry and record history must satisfy.

Additional model premises

A single model with consistent total stress.

Next question

Construct one common solution.

Verification or evidence

Requirements stated; no common solution yet.

Source

R12
Open physical construction

Experimental and engineering evaluation

What the foundations establish

Protocols for record, forecast and control evaluation; R13 records verification and reproducibility.

Additional model premises

Datasets, apparatus and matched comparators.

Next question

Prospective forecast evaluation; PERSIST-Q benchmark.

Verification or evidence

No experimental result or benchmark report exists. No control advantage is claimed.

Source

R13

Explanation

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Publication inventory

What is available

Current foundations

14

R00 suite guide and R01 to R13. Manuscript PDFs for every paper in the suite are available on this website.

Earlier development papers

9

Original versions remain available.

Original research series

14

Original versions remain available.

23 manuscripts have a public file on this website. Current foundational status, file availability, journal review and experimental evidence are separate facts. Full catalogue

Correction record

Historical corrections

Earlier PDT papers proposed a coherence floor, a Yukawa-type force signature and photon parity or helicity effects. These proposals are retained in the historical research record, but are not current predictions of the foundational suite. A testable prediction requires a specified physical model, a quantitative calculation and an experimental protocol.

QM V

Updated 13 September 2026

Prediction equations require correction

The prediction equations on pages 3 to 4 contain dimensional inconsistencies. The affected estimates are not established predictions. No corrected manuscript has been supplied.

Correction noticeCurrent explanation