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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Formal-Causation Imprint on Large-Scale Structure: A Cahn–Hilliard Template, Observational Upper Limits, and DESI Forecasts

Authors: Takagi, Takayuki;

Formal-Causation Imprint on Large-Scale Structure: A Cahn–Hilliard Template, Observational Upper Limits, and DESI Forecasts

Abstract

What is this? This paper asks a simple question: does Aristotle's "formal cause" leave a measurable fingerprint on the large-scale structure of the universe? We translate the concept of formal causation — the idea that structure-giving principles actively shape physical systems — into a single quantitative parameter λ (lambda), and then search for its signature in the cosmic matter distribution. What we did Built a prediction. We ran a Cahn–Hilliard phase-field simulation to model how formal causation would shape cosmic-web morphogenesis, producing a characteristic spectral bump at scale k_c = 0.096 h/Mpc. Searched for it. Using a pre-declared, blinded protocol with look-elsewhere correction (5,000 Monte Carlo trials), we scanned BOSS-calibrated power spectrum residuals for any deviation from ΛCDM. Found nothing — and that's a result. No statistically significant signal was detected (global p = 0.92). The constraint λ < 0.017 (95% CL) — equivalent to |ΔG_eff/G| < 1.1% If formal causation modulates gravity across the cosmic web, it does so by less than 1.1%. Important caveat The present analysis uses a BOSS-calibrated error model (not the full DR12 covariance matrix). All analysis parameters are pre-declared and frozen; a locked data-swap protocol for DR12 is defined in Appendix A of the manuscript. Think of this as a blinded analysis: methodology validated on realistic mocks before unblinding. What's in this repository File What it is 📄 formal_causation_v2.1.1_preprint.pdf Start here — the full paper (8 pages) 📊 results_pipeline.csv Every number in every table, machine-readable 🔬 gen_figures.py Run python gen_figures.py to reproduce all figures and results from scratch 📝 manuscript_v2.tex LaTeX source (revtex4-2 / PRD format) 🖼️ fig1–fig6_*.pdf All six publication figures Reproducibility pip install numpy matplotlib python gen_figures.py Fixed random seed (2024). Deterministic. All paper numbers flow from this single script. What's next DESI Year-1 data will push the sensitivity to λ < 0.011, probing sub-percent gravitational modulation across the entire cosmic web.

Keywords

cosmic web, DESI, TSTT, BOSS, matter power spectrum, phase-field simulation, formal causation, Cosmology and Nongalactic Astrophysics, cosmology, modified gravity, large-scale structure, General Relativity and Quantum Cosmology, Cahn-Hilliard equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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