Pith Number

pith:NKRTDJAH

pith:2026:NKRTDJAHE54WQ7JTP5GFEKBZV4

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Phase-resolved field-space distance bounds in ekpyrotic, bouncing and cyclic cosmologies

Marcin Postolak

Ekpyrotic and bouncing cosmologies obey a total field-space distance budget that decomposes by phase and yields a lower bound on ε_ek.

arxiv:2605.12579 v2 · 2026-05-12 · gr-qc · astro-ph.CO · hep-th

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Claims

C1strongest claim

We propose a new master condition that provides a lower bound on the value of the parameter ε_ek that depends on the remaining distance available after conversion and the cosmological bounce.

C2weakest assumption

The specific mechanism that violates or evades the null energy condition together with the details of entropy-to-curvature conversion are treated as given; if these mechanisms differ substantially from the assumed kinematics, the phase decomposition and master bound lose their generality.

C3one line summary

Phase-resolved scalar distance bounds are derived for ekpyrotic, bouncing, and cyclic cosmologies, yielding a master condition that lower-bounds ε_ek from remaining distance after conversion and bounce.

References

92 extracted · 92 resolved · 59 Pith anchors

[1] Mechanism-dependent interpretation of the bounce contributiond(B) b

[2] derivative scalar-tensor operators

[3] LQC For a loop quantum cosmology-type effective bounce, the modified Friedmann equation is often written as [38, 9 39]: H2 = ρ 3M2 Pl ( 1−ρ ρc ) ,(114) with the effective Raychaudhuri equation of the

[4] 5.f(R)theories Forf(R)or related modified gravity bounces, the dis- tance may reside in the gravitational sector rather than in a matter scalar [35, 36]

[5] Galilean Genesis and conformal Galileon Galilean Genesis or conformal Galileon transitions [32, 37] should also be distinguished from a canonical scalar bounce scenarios. They are naturally represente

Formal links

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Receipt and verification

First computed	2026-05-18T03:10:01.501252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa331a4072779687d337f4c522839af390b9dc7a4046cd2e123adc46a1c53e6

Aliases

arxiv: 2605.12579 · arxiv_version: 2605.12579v2 · doi: 10.48550/arxiv.2605.12579 · pith_short_12: NKRTDJAHE54W · pith_short_16: NKRTDJAHE54WQ7JT · pith_short_8: NKRTDJAH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NKRTDJAHE54WQ7JTP5GFEKBZV4 \
  | 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: 6aa331a4072779687d337f4c522839af390b9dc7a4046cd2e123adc46a1c53e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6175871c24783d597726c67dbe2ff99104860e08a7d0007bccd61b44038dd5dc",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-12T15:01:18Z",
    "title_canon_sha256": "77120fd4fa8ca2f0faacc02b19d74300bc2575deea11a291714eb6437a2670f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12579",
    "kind": "arxiv",
    "version": 2
  }
}