Phase Differential Theory
Phase Differential
A Framework for Reality
Visits …

Research programme

Results
into tests.

The current research programme turns PDT’s foundational constructions into specified physical models, reproducible software tests and prospective experiments. Its immediate focus is record formation, prediction under uncertainty and quantum control.

Current research →Test register →Experimental programme →

Principal near-term workstreams

Three concrete workstreams

Each workstream has its own results and acceptance criteria. Proving the record construction does not by itself establish predictive accuracy on experimental data, and neither establishes a quantum-control advantage.

A

Record formation

“How can a specified physical process produce a definite record, and how reliably can that record persist?”

What the foundations establish

R05 gives an exact finite exclusion construction that represents a supplied projective instrument as a last-survivor process. R03 gives the last-survivor criterion and conditional record stability; R04 gives the instrument framework.

Additional physical or engineering inputs

A specified preparation, apparatus interaction, noise model, record storage mechanism, energy and reservoir accounting, and a clock identification for any timing claim.

Next concrete task

Specify and test the apparatus interaction, noise behaviour, record stability and energy exchange.

Acceptance criterion

A specified apparatus model reproduces the instrument within stated calibration and noise tolerances, with its record rule and energy accounting defined in advance.

Evidence available

Mathematical result

The construction and its worked example are mathematical results. No apparatus model has yet been tested against data.

Source papers

R03R04R05Theorem R03.1 statementTheorem R05.1 statementTheorem R05.4 statement
Read the research dossier
B

Prediction under uncertainty

“When does the available information justify predicting a later readout, despite noise and calibration uncertainty?”

What the foundations establish

R04 to R06 give the operational quantum model and a treatment of prediction. Under the stated model, a fixed tolerance rule bounds disagreement with a specified later readout when the true calibration lies in the declared set.

Additional physical or engineering inputs

Information available before the forecast, a declared calibration set, a chosen tolerance, and suitable held-out records.

Next concrete task

Evaluate a fixed prediction rule prospectively on suitable held-out records, reporting both errors and occasions when no prediction is issued.

Acceptance criterion

Pre-registered rule and tolerance; reported prediction rate, error rate among issued predictions, no-prediction cases and uncertainty intervals on held-out data.

Evidence available

Model specified, evaluation not yet run

The rule is defined. No prospective evaluation on held-out data has been reported.

Source papers

R04R05R06Theorem R04.1 statement
Read the research dossier
C

Quantum control and PERSIST-Q

“Can a prospective estimator identify when intervention will help, then deliver a net improvement against a strong controller under matched resources and latency?”

What the foundations establish

The record and prediction framework informs the engineering programme. It does not by itself establish a control advantage.

Additional physical or engineering inputs

A control problem, dataset or device, a specified estimator with its source version, matched comparators, resource and latency budgets.

Next concrete task

A reproducible comparison against the strongest implementable alternatives using suitable data and a fixed protocol.

Acceptance criterion

A net improvement over the strongest matched controller on held-out data, including end-to-end latency and deadline misses, with paired or randomised evidence for intervention benefit.

Evidence available

Proposed protocol

No benchmark report is available. No control advantage is claimed.

Source papers

R04R06
Read the research dossier

Longer-term foundational work

Open research questions

These are research questions with defined requirements. None is presented as derived or complete, and no later physical sector is claimed to follow from the primitives alone.

  1. Common matter, geometry and record model

    Can matter, geometry and record formation be described by one model with consistent total stress?

    Requires One common solution in which apparatus, reservoir and record contributions enter the total stress tensor consistently.

    R09R10R12

  2. Physical clock and causal identification

    Which physical processes serve as clocks, and how is causal order identified?

    Requires A clock map, calibration inputs and a stated relation between record order and causal structure.

    R08R10

  3. Dimensionless constants and particle properties

    Can dimensionless constants or particle properties be selected independently of calibration?

    Requires A derivation that does not use the quantity being predicted as an input, compared with measured values.

    R08R09

  4. Refinement and continuum limits

    Under what conditions do refined models converge to a continuum description?

    Requires Stated refinement assumptions, convergence criteria and a demonstration that limits exist.

    R09R07

  5. Cosmological models with explicit stress

    Which cosmological models follow once matter content and stress are specified?

    Requires A homogeneous geometry, defined stress tensor, initial data and comparison with observations.

    R11

Historical proposals

Earlier experimental proposals

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.

Historical proposals in the test registerQM V and its correction noticeEarlier papers and current foundations