UTMF v5.2 Synthetic Entropy-Trajectory Archive (FULL_DETAILS JSON + Raw Synthetic Datasets)

This archive contains the complete synthetic dataset collection used for entropy-trajectory analysis within the UTMF v5.2 framework.

The archive is organized into three components:

1. FULL_DETAILS JSON outputs (19 files)

These files are complete UTMF v5.2 processing outputs generated after applying:

• jedi_mfdfa (multifractal analysis engine)

• UTMF v5.2 aggregation and metric computation

Each JSON file contains:

• Subset-level results

• Mean DfD_fDf values

• Valid subset counts

• Full metric stack (TCI, MCI, TMCI)

• Engine version and SHA256 hash

• Dataset provenance

• Error logging (where applicable)

All JSON files were produced using:

• MFDFA engine version: v5.2

• Engine SHA256: ea690e6cca6fc2d6c5499833794d631d9d36d80da1f753f170521d97726ddbcc

2. Raw synthetic datasets

This directory contains the original synthetic time series (NumPy .npy files) prior to UTMF processing.

Each synthetic dataset:

• Matches the length of its corresponding empirical dataset

• Was generated under controlled synthetic models:

  • white noise

  • pink noise

  • AR(1)

  • phase randomization

  • shuffle

  • Lévy processes

  • Brownian motion

• Was z-score normalized prior to analysis

These raw files allow full reproducibility of all reported synthetic UTMF results.

3. Documentation

Included documentation provides:

• Inventory of FULL_DETAILS JSON files

• Dataset summaries

• Processing metadata

• Reproducibility notes

Provenance

Synthetic datasets were generated using empirical dataset metadata obtained from:

UTMF_v5.2_FULL_DETAILS_JSON_archive_6_runs
DOI: https://doi.org/10.5281/zenodo.18529034

This synthetic archive is therefore directly reproducible from that upstream empirical archive under identical UTMF configuration.

Purpose

This archive supports research on:

• Synthetic universality classes in entropy-trajectory space

• Structural separation between empirical and synthetic datasets

• Curvature and entropy-geometry analysis

• Boundary behavior of QRNG datasets

• Robustness testing of UTMF metrics

The archive enables complete independent replication of all synthetic experiments reported in the associated UTMF studies.

Methodological Framework

This archive was generated using the Unified Temporal-Measurement Framework (UTMF v5.2) and the jedi_mfdfa engine.

Core references:

• UTMF-Core (software & paper)

• UTMF v5.2 (software & MFDFA stability paper)

• jedi_mfdfa (software & implementation paper)

See the related identifiers for full DOI references.