Pith Number

pith:BGHNDS4L

pith:2026:BGHNDS4LAFZ3AUQ7UM6PCN3GEI

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Energy Balance of a Boson Gas at Zero Temperature in Curved Spacetime

Jorge Meza-Dom\'inguez, Pierre-Henri Chavanis, Tonatiuh Matos

Zero-temperature boson gas in curved spacetime obeys a spacetime-derived energy balance equation alongside a Fisher entropy constraint.

arxiv:2603.23931 v3 · 2026-03-25 · gr-qc · quant-ph

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Claims

C1strongest claim

We establish two fundamental relationships: an energy balance equation representing the first law of thermodynamics from a spacetime perspective, and an information-theoretic constraint connecting Fisher entropy to the dynamical evolution of the boson density.

C2weakest assumption

The hydrodynamic Madelung representation remains valid when applied within the ADM formalism to a zero-temperature boson gas in curved spacetime, enabling the separation of energy transport from information conservation.

C3one line summary

Develops energy balance equation and Fisher entropy constraint for zero-temperature boson gas in curved spacetime.

References

38 extracted · 38 resolved · 0 Pith anchors

[1] Dimensional reduction in quantum gravity, 1993

[2] Alcubierre,Introduction to 3+1 Numerical Relativity 2008

[3] Scalar fields as dark matter in spiral galaxies, 2000

[4] Further anal- ysis of a cosmological model with quintessence and scalar dark matter, 2001

[5] Mass-radius relation of Newto- nian self-gravitating Bose-Einstein condensates with short-range interactions. I. Analytical re- sults, 2011

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:40.541919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098ed1cb8b0173b0521fa33cf13766220eb054bdf725f51462d5a83b62ed30c4

Aliases

arxiv: 2603.23931 · arxiv_version: 2603.23931v3 · doi: 10.48550/arxiv.2603.23931 · pith_short_12: BGHNDS4LAFZ3 · pith_short_16: BGHNDS4LAFZ3AUQ7 · pith_short_8: BGHNDS4L

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BGHNDS4LAFZ3AUQ7UM6PCN3GEI \
  | 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: 098ed1cb8b0173b0521fa33cf13766220eb054bdf725f51462d5a83b62ed30c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46397194cf6ad578129b073cb9f273643dd923849bea01330f7aca618b3cb008",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-25T04:38:34Z",
    "title_canon_sha256": "d7974ad0b8bc624867a6111e18a8ed79731ddf9a94c63f540f7ba185b5827b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23931",
    "kind": "arxiv",
    "version": 3
  }
}