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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20042763 |
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Table of Contents:
- <p>This paper presents a reproducible statistical, signalprocessing, and computational-engineering framework for testing astronomically correlated recurrence of histogram forms in random event sequences. The measured process is decomposed into a locally stochastic component, a macroscopic histogramform component, and residual noise. The elementary events remain locally stochastic, while the normalized histogram form over a finite observation window is treated as the tested macroscopic observable. The framework separates the histogram-shape hypothesis from the decay-rate-variation hypothesis, defines the astronomical state vector, formalizes Earth Mover’s Distance, Wavelet Earth Mover’s Distance, normalized Euclidean distance, correlation distance, mirror-correlation score, composite shape distance, surrogate-data null models, permutation baselines, false-discovery-rate control, signal-to-noise requirements, Cramer-Rao identifiability bounds, computational complexity, distributed streaming architecture, hardware-agnostic crossvalidation, cryptographic data provenance, and reproducibility requirements. The formulation is falsifiable and does not claim proof of a physical mechanism.</p>