pith:R3SJEWID
Accessing the homogeneity scale with 21 cm intensity mapping surveys
Beam convolution in 21 cm intensity mapping erases the homogeneity scale beyond a redshift-dependent maximum beam width.
arxiv:2511.13931 v2 · 2025-11-17 · astro-ph.CO
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Claims
For any given redshift z, we identify a maximum beam width, σ_max(z), beyond which the homogeneity scale cannot be recovered. This limit defines an inaccessible region in the σ × z parameter space, where R_H is erased by beam smoothing.
The intrinsic clustering signal (before beam convolution) can be accurately modeled using the two-point correlation function and correlation dimension D2(r) such that the suppression effect is cleanly separable from the true homogeneity scale.
Beam convolution in 21cm IM surveys erases the homogeneity scale R_H beyond a redshift-dependent maximum beam width σ_max(z) identified via the correlation dimension D2(r).
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| First computed | 2026-05-26T01:02:29.212579Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
8ee4925903f91157af540b53cd230140004796d713f00cb23f65e9c02b3c3b8c
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curl -sH 'Accept: application/ld+json' https://pith.science/pith/R3SJEWID7EIVPL2UBNJ42IYBIA \
| jq -c '.canonical_record' \
| python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
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Canonical record JSON
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