Pith Number

pith:T7FPKUZH

pith:2026:T7FPKUZHHJETRHQEWRZUSTHSHQ

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Caustic formation in DBI models: Wave propagation on planar domain walls

B. Gafarov, E. Babichev, M. Valencia-Villegas, S. Ramazanov

The DBI model for planar domain walls prevents caustic formation from smooth waves in the hyperbolic regime.

arxiv:2604.08142 v2 · 2026-04-09 · hep-th · astro-ph.CO · gr-qc · hep-ph

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

we prove that DBI remains shock free in the hyperbolic case in all these physically relevant situations. This strongly suggests that caustics can form on planar domain walls only due to the loss of hyperbolicity, and they have a cusp profile.

C2weakest assumption

The effective scalar DBI description remains valid and the system stays inside the hyperbolic regime; the analysis does not address what happens once hyperbolicity is lost or when higher-order corrections become important.

C3one line summary

DBI domain walls stay shock-free in the hyperbolic regime across 2D flat space and extended physical setups, with caustics forming only upon loss of hyperbolicity and exhibiting cusp profiles.

Cited by

1 paper in Pith

Cuspidal Singularities in Collapsing Domain Walls

Receipt and verification

First computed	2026-06-24T01:15:02.713822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcaf553273a49389e04b473494cf23c2e3c8bc0f24beae94943ef66be6e83d6

Aliases

arxiv: 2604.08142 · arxiv_version: 2604.08142v2 · doi: 10.48550/arxiv.2604.08142 · pith_short_12: T7FPKUZHHJET · pith_short_16: T7FPKUZHHJETRHQE · pith_short_8: T7FPKUZH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7FPKUZHHJETRHQEWRZUSTHSHQ \
  | 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: 9fcaf553273a49389e04b473494cf23c2e3c8bc0f24beae94943ef66be6e83d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2cd9ac47c6e83dec48718080ac202f25a91f15f6cd3362400c736354bc0941",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-09T12:01:28Z",
    "title_canon_sha256": "aead9b54fbed323657bfff7403883b5fe5bae61a662a543e78800d2de22f883d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08142",
    "kind": "arxiv",
    "version": 2
  }
}