Probable Dipole of the NIR-H Flux Tail Index in the Euclid MER Q1 Public Release: A Robust Empirical Detection over a Narrow Longitudinal Band

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1. Verfasser: DEBAILLEUL, Michel
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Sprache:Englisch
Veröffentlicht: Zenodo 2026
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author DEBAILLEUL, Michel
author_facet DEBAILLEUL, Michel
contents <p>This paper reports a statistically <strong>robust North–South asymmetry of the heavy-tail index of the NIR-H flux distribution </strong>(Sersic H-band flux) in the Euclid Multi-Epoch Release Q1 public catalogue, accessed via ESASky 7.40.</p> <p>Using the Hill estimator with threshold k = 50, declared prior to any analysis, applied to five independent sky zones covering declinations δ ≈ +60° and δ ≈ −26° to −50°, <strong>we measure a block-averaged contrast Δα ≈ 0.80 between North zones (ā_N ≈ 2.01) and South zones (ā_S ≈ 1.21). </strong></p> <p><strong>The minimum North value exceeds the maximum South value by 0.629, yielding a near-total group separation</strong>.</p> <p>The contrast persists under all robustness tests: k-stability (<10% variation over k ∈ [40; 90]), bootstrap (B=1000, P(Δα > 0) ≈ 0.996), leave-one-out (0.67 ≤ Δα ≤ 0.93), KS test (D = 0.083, p < 10⁻⁶), and variance inflation (Z > 1.6 with tripled variance).</p> <p>No cosmological interpretation is imposed.</p> <p>The result is conservatively interpreted as <strong>a probable large-scale dipole precursor, testable with Euclid Q2/Q3 public data expected in October 2026.</strong></p> <p>Full methodological transparency and zero free parameters.</p> <p>File integrity (SHA-256) :<br>EN : DB212AB024FF7C90AE8D93472AE45812A60F57F56662904DF7CE9776E9276EC5<br><br></p>
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language eng
publishDate 2026
publisher Zenodo
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spellingShingle Probable Dipole of the NIR-H Flux Tail Index in the Euclid MER Q1 Public Release: A Robust Empirical Detection over a Narrow Longitudinal Band
DEBAILLEUL, Michel
Euclid ; NIR photometry ; flux distribution ; tail index ; Hill estimator ; large-scale structure ; statistical anisotropy ; empirical analysis
Euclid ; photométrie NIR ; distribution de flux ; indice de queue ; estimateur de Hill ; grande structure ; anisotropie statistique ; analyse empirique
Astronomy, cosmology, Dark Matter, Black Energie, Anomalies, CMB, ΛCDM, Large-scale structure, Anisotropy, Dipole
Euclid, NIR photometry, flux distribution, tail index, Hill estimator, large-scale structure, statistical anisotropy, empirical analysis
<p>This paper reports a statistically <strong>robust North–South asymmetry of the heavy-tail index of the NIR-H flux distribution </strong>(Sersic H-band flux) in the Euclid Multi-Epoch Release Q1 public catalogue, accessed via ESASky 7.40.</p> <p>Using the Hill estimator with threshold k = 50, declared prior to any analysis, applied to five independent sky zones covering declinations δ ≈ +60° and δ ≈ −26° to −50°, <strong>we measure a block-averaged contrast Δα ≈ 0.80 between North zones (ā_N ≈ 2.01) and South zones (ā_S ≈ 1.21). </strong></p> <p><strong>The minimum North value exceeds the maximum South value by 0.629, yielding a near-total group separation</strong>.</p> <p>The contrast persists under all robustness tests: k-stability (<10% variation over k ∈ [40; 90]), bootstrap (B=1000, P(Δα > 0) ≈ 0.996), leave-one-out (0.67 ≤ Δα ≤ 0.93), KS test (D = 0.083, p < 10⁻⁶), and variance inflation (Z > 1.6 with tripled variance).</p> <p>No cosmological interpretation is imposed.</p> <p>The result is conservatively interpreted as <strong>a probable large-scale dipole precursor, testable with Euclid Q2/Q3 public data expected in October 2026.</strong></p> <p>Full methodological transparency and zero free parameters.</p> <p>File integrity (SHA-256) :<br>EN : DB212AB024FF7C90AE8D93472AE45812A60F57F56662904DF7CE9776E9276EC5<br><br></p>
title Probable Dipole of the NIR-H Flux Tail Index in the Euclid MER Q1 Public Release: A Robust Empirical Detection over a Narrow Longitudinal Band
topic Euclid ; NIR photometry ; flux distribution ; tail index ; Hill estimator ; large-scale structure ; statistical anisotropy ; empirical analysis
Euclid ; photométrie NIR ; distribution de flux ; indice de queue ; estimateur de Hill ; grande structure ; anisotropie statistique ; analyse empirique
Astronomy, cosmology, Dark Matter, Black Energie, Anomalies, CMB, ΛCDM, Large-scale structure, Anisotropy, Dipole
Euclid, NIR photometry, flux distribution, tail index, Hill estimator, large-scale structure, statistical anisotropy, empirical analysis
url https://doi.org/10.5281/zenodo.18861360