pith:5L5EMPUQ
Effective Field Theory of Large Scale Structure and Newtonian Motion Gauges
An Einstein-Boltzmann code can compute the exact gauge transformation that reduces linear general relativistic equations for matter clustering to Newtonian equations with scale-independent growth.
arxiv:2605.05114 v2 · 2026-05-06 · astro-ph.CO
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Claims
For a given cosmology, an Einstein-Boltzmann code can find the exact gauge transformation that brings the full linear equations of motion of the clustering matter components into a form where they are identical to Newtonian equations for a self-gravitating fluid with scale-independent growth. Non-linear clustering can be consistently computed in this gauge, and the results can be transformed back.
The self-consistency condition evaluated by the Einstein-Boltzmann code (on the smallness of a gauge transformation field) is fulfilled, allowing the nonlinear clustering computed in the Newtonian gauge to be transformed back without introducing uncontrolled errors.
Newtonian motion gauges extend the validity of Newtonian EFTofLSS to scale-dependent growth and GR effects by transforming linear equations to Newtonian form, computing nonlinear clustering there, and transforming results back.
Receipt and verification
| First computed | 2026-06-04T01:09:50.574391Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
eafa463e90fd2ddf9dd68a4aabab7d294e567d5b363be780426d9fca6d657870
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5L5EMPUQ7UW57HOWRJFKXK35FF \
| 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())"
# expect: eafa463e90fd2ddf9dd68a4aabab7d294e567d5b363be780426d9fca6d657870
Canonical record JSON
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