We investigate how projected fields and particle-like structures could emerge from pre-metric relational activity through DQEC. Explore our completed computational investigations, methods, datasets, code, and findings. The work is available for independent examination, reproduction, and extension.
Code and datasets are available in the downloads below. A public GitHub repository will be linked here when available.
2Completed computational investigations
23 / 920Networks / configurations in Study 002
B000 → C001One reference and one implemented candidate
Completed work
What we tried. What happened.
STUDY 001 · COMPLETED · 13 OCT 2026
Can one admission rule express a packet?
We compared a supplied quantum baseline with a rule that admits smoother relational patterns more strongly. On the original cycle, a concentrated input expressed as an approximately Gaussian packet. Its center stayed fixed while its width grew under the supplied evolution.
Learned: This standing readout can produce the desired packet shape on the chosen network. The initial topology, position map, quantum evolution, and probability rule are supplied assumptions.
We tested the same rule on 23 relational networks across 920 configurations. Local connections retained a concentrated expression at the displayed preset. Strong rewiring produced an almost uniform expression across the fixed position map.
Learned: Smoothness alone does not preserve localization in this construction. The connections and the way they are translated into positions matter.
The present model gives each of 256 participants a complex amplitude. A graph records their connections. We supply the evolution law, then compare an all-mode readout with one fixed admission rule. The expressed packet and the unexpressed share both come from the same evolving state.
Implemented candidates and their relationship
Record
What it does
Status & next question
B000 · Reference
Every mode expresses through the chosen position map. Uses supplied quantum graph evolution.
Retained as the comparison baseline for both studies.
C001 · Child of B000
Patterns that vary less across connections receive stronger expression. Admission is a standing readout, not repeated smoothing.
Implemented and tested. Retained with its observed network sensitivity. Next: examine the expression map or a different compatibility principle.
Where this fits: This is an early investigation toward the field-and-electron goal. It studies expression and packet behavior. Electron mass, charge, spin, field interactions, emergent geometry, and a definite measurement record remain outside this model.
Download the actual work: readable implementation, independent numerical checks, every network, all 920 configurations, and complete complex states. The lab also provides JSON and CSV exports and an on-page viewer for every network record.
Extract the source ZIP. With Python 3 and Node.js installed, run these commands in its folder. The interactive lab itself works in a browser without installing those tools.
Study 001 was checked against independent matrix calculations. Study 002 includes four direct matrix-exponential comparisons and saved reproducibility checks. Those checks assess calculation accuracy; their full measurements and tolerances are downloadable.
Open invitation
Reproduce it. Question it. Extend it.
Independent researchers, students, and interested readers are welcome to examine the work, report reproduction results, identify errors, or propose another clearly defined rule. You can begin with the code and data available here.
Check a result
Record the package edition, operating system, dependency versions, exact commands, and observed output. Compare the saved graphs, metrics, and state arrays. Keep unexpected outcomes in your record.
State the question, exact rule, parent candidate, changed assumptions, and fair comparison. Preserve the baseline and report the full tested range, including unsuccessful cases.
The public repository is planned. Until its link is added, download the package and keep your reproduction report or proposal with your work. The package contains the participation instructions and issue templates.
Software reuse is covered by the included MIT license. TRQC™ and Timeline-Relative Quantum Collapse™ identify this research program; modified work should retain accurate attribution and identify its changes.
Research record
Completed work and the next question.
Website research package preparedStudies, interactive lab v0.3.1, code, data, and participation materials integrated into TRQCTheory.org for publication by the operator.
Study 002 completedNetwork sensitivity recorded across 23 graphs and 920 configurations. All tested states and metrics retained.
Study 001 completedBaseline B000 and candidate C001 implemented and checked. Live interface updated to v0.3.1 with the 920-record viewer.
Next question · planned, not yet run: What relation-defined expression map, or different compatibility rule, could preserve useful localization when the network changes? The larger target remains the route from pre-metric activity through DQEC to fields and an electron.