Phase Differential Theory
Phase Differential
A Framework for Reality
Visits …

The lab

The
lab.

Tools are grouped by purpose. Each states what it shows, its inputs and assumptions, whether its data are synthetic, and its evidence status. Educational illustrations are not experimental confirmation, and no benchmark result is shown without a report.

Group 1

Understand the ideas

Conceptual visualisations and teaching demonstrations.

Educational illustration

Concentric phase rings

Demonstrates:
A conceptual picture of pulses spreading across coupled nodes.
Inputs:
Pulse speed, coupling, damping, number of nodes, pointer interaction.
Outputs:
A display activity score and counts; tool-specific, not physical quantities.
Assumptions:
Artistic update rule; not derived from the foundations.
Data:
Synthetic
Availability:
Live on this website
Source:
Implementation notes on the tool page
Open
Educational illustration

PDT0 interactive introduction

Demonstrates:
A guided introduction to relational phase ideas.
Inputs:
Reader interaction.
Outputs:
Explanatory visuals.
Assumptions:
Teaching simplifications; not derived in the current foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No published specification
Open application
Educational illustration

Relational phase simulation

Demonstrates:
Complex state structure from relational phase, as a teaching model.
Inputs:
Reader-set parameters.
Outputs:
Visual state structure.
Assumptions:
Teaching model; not derived in the current foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No published specification
Open application
Educational illustration

Quantum transport playground

Demonstrates:
Continuous unitary dynamics and transport.
Inputs:
Reader-set parameters.
Outputs:
Visual evolution.
Assumptions:
Teaching model; not derived in the current foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No published specification
Open application
Educational illustration

Sector flow explorer

Demonstrates:
Sector structure from an earlier development paper.
Inputs:
Reader interaction.
Outputs:
Visual sector diagrams.
Assumptions:
Earlier modelling ideas; not derived in the current foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No published specification
Open application
Educational illustration

Quantum sector basics

Demonstrates:
An introduction to coupling and sector structure.
Inputs:
Reader interaction.
Outputs:
Visual explanations.
Assumptions:
Earlier modelling ideas; not derived in the current foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No published specification
Open application
Educational illustration

Phase evolution framework

Demonstrates:
Phase evolution across coupled systems in a chosen model.
Inputs:
Reader-set parameters.
Outputs:
Visual evolution.
Assumptions:
Chosen illustrative model.
Data:
Synthetic
Availability:
Live external application
Source:
No foundational specification
Open application

Group 2

Inspect a mathematical model

Exact examples and calculations tied to foundational results.

Mathematical example

Last-survivor worked example

Demonstrates:
Theorem R03.1 on three candidates with loss times 2, 1 and 3, including a tie case.
Inputs:
Loss times.
Outputs:
Admissible sets by stage and the recorded survivor.
Assumptions:
Loss times supplied by the model.
Data:
None (exact calculation)
Availability:
On the mathematics page
Open
Mathematical example

Three-label exclusion example

Demonstrates:
Theorem R05.1: six ordered exclusion histories reproduce populations 1/2, 1/3, 1/6.
Inputs:
Initial populations.
Outputs:
History probabilities and survivor totals.
Assumptions:
A supplied projective instrument.
Data:
None (exact calculation)
Availability:
On the mathematics page
Open

Group 3

Evaluate prediction or control

Tools with specified datasets, protocols and comparators.

Proposed study

Prediction rule evaluation

Demonstrates:
Prospective evaluation of the tolerance forecast rule.
Inputs:
Held-out records, calibration set, tolerance.
Outputs:
Prediction rate, error rate, no-prediction cases.
Assumptions:
True calibration inside the declared set.
Data:
Not yet specified
Availability:
Protocol only; no tool published
Proposed study

PERSIST-Q benchmark

Demonstrates:
Net control performance against matched comparators.
Inputs:
Control problem, dataset or device, resource and latency budgets.
Outputs:
Net performance, latency, deadline misses.
Assumptions:
Fixed protocol before evaluation.
Data:
Not yet specified
Availability:
Protocol only; no benchmark report

Group 4

Exploratory applications

Ideas whose implementation or performance is still being investigated.

Educational illustration

PDT electromagnetism visual simulator

Demonstrates:
An exploratory visual model of electromagnetic behaviour.
Inputs:
Reader-set experiments.
Outputs:
Visual field behaviour.
Assumptions:
Exploratory model, not derived in the foundations.
Data:
Synthetic
Availability:
Live external application
Source:
No foundational specification
Open application