What question did this study set out to answer?

This addendum aims to address sample-size limitations in the T-scan analysis by expanding from 5 to 30 seeds per T value.

June 20, 2026Open Access

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Addendum to GRU v2.1: Expanded T-scan Statistics (N=30 per T) — The Causal Spine of Discrete Spacetime

Key Points

This addendum aims to address sample-size limitations in the T-scan analysis by expanding from 5 to 30 seeds per T value.
Expanded multiseed analysis with N=30 for T values of 20, 40, and 80.
Calculated means and dispersions for T=20, T=40, and T=80 based on the new sample size.
Documented findings and analysis scripts for added transparency.
For T=20, the mean is ds=1.0453±0.0370; for T=40, ds=1.0228±0.0374; and for T=80, ds=1.0048±0.0296.
Dispersion for T=80 roughly doubled with N=30, cautioning against over-interpreting small-sample standard deviations.
Chi-squared/dof did not improve with more seeds, consistent with previously noted noise in the fit procedure.

Abstract

This deposit adds an addendum to the GRU v2. 1 paper (10. 5281/zenodo. 20722690), reporting an expansion of the T-scan multiseed analysis from N=5 to N=30 seeds per T value (T=20, 40, 80), addressing the sample-size limitation noted in Section 3. 4 and Appendix E. 3 of the main paper. T-scan N=30 results: T=20: ds = 1. 0453 ± 0. 0370 (N=5 was 1. 0621 ± 0. 0205) T=40: ds = 1. 0228 ± 0. 0374 (N=5 was 1. 0444 ± 0. 0589) T=80: ds = 1. 0048 ± 0. 0296 (N=5 was 1. 0059 ± 0. 0147) The oscillatory convergence toward ds=1 with increasing T is confirmed with the larger sample. All three N=30 means fall within the N=5 uncertainty (recommendation: ADDENDUM, not correction). The addendum also documents two honest findings: T=80 dispersion roughly doubles with N=30 (caution against over-interpreting small-sample std), and chi-squared/dof did not improve with more seeds (consistent with the fit-procedure-noise explanation in Appendix E. 1). Two outliers documented but not excluded: seed 789 (T=40, already known) and seed 3002 (T=80, new). Contents: the full v2. 1 paper (HTML+PDF), the addendum (HTML+PDF), and a complete ZIP (GRUᵥ2. 1. 1FULL. zip) containing the paper, all original scripts and data from v2. 1, plus the three new addendum analysis scripts and the N=30 combined results JSON. Author: Alfredo Flores Cornejo, Independent Researcher, Zapopan, Jalisco, México (dr. alfredo. fc@gmail. com) Related: Concept DOI (all versions): 10. 5281/zenodo. 20352929. Main paper v2. 1: 10. 5281/zenodo. 20722690.

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Alfredo Flores Cornejo (Thu,) studied this question.

synapsesocial.com/papers/6a362fe6db0793dc1a53738b https://doi.org/https://doi.org/10.5281/zenodo.20751161

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