Pith Number

pith:IMH7DXFU

pith:2026:IMH7DXFUESJBTR3KVFELVK6AXN

not attested not anchored not stored refs pending

Spontaneous Symmetry Breaking and the Vacuum Displacement Principle: From Galactic Scales to Cosmic Fine-Tuning

Rodrigo Maier

A Higgs-like vacuum scalar field breaks symmetry and couples to matter, generating a buoyancy force that modifies geodesics to produce flat galactic rotation curves and track the cosmological constant.

arxiv:2604.21050 v2 · 2026-04-22 · gr-qc · hep-th

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\pithnumber{IMH7DXFUESJBTR3KVFELVK6AXN}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

This interaction leads to a restorative buoyancy force that modifies the geodesic equation and violates the Weak Equivalence Principle. We show that this mechanism naturally recovers the Schwarzschild metric in the vacuum limit while providing a Yukawa-corrected Newtonian potential in the presence of matter. This correction offers a dynamical explanation for flat galactic rotation curves and a tracking mechanism for the cosmological constant, potentially resolving the coincidence and fine-tuning problems without the need of dark sectors.

C2weakest assumption

The introduction of the coupling Q^ν = α T ∇^ν χ and the assumption that baryonic matter acts as an impurity in the vacuum substrate leading to a restorative buoyancy force; if this coupling does not produce the claimed effects or if the symmetry breaking does not lead to the buoyancy as described, the explanations for rotation curves and cosmological constant fail.

C3one line summary

A vacuum scalar field with spontaneous symmetry breaking and matter coupling generates Yukawa-corrected gravity that accounts for flat galactic rotation curves and dynamically tracks the cosmological constant.

Receipt and verification

First computed	2026-06-10T00:08:26.698884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430ff1dcb4249219c76aa948baabc0bb52bbca2a490612f76cdf5c1f27772d73

Aliases

arxiv: 2604.21050 · arxiv_version: 2604.21050v2 · doi: 10.48550/arxiv.2604.21050 · pith_short_12: IMH7DXFUESJB · pith_short_16: IMH7DXFUESJBTR3K · pith_short_8: IMH7DXFU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IMH7DXFUESJBTR3KVFELVK6AXN \
  | 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: 430ff1dcb4249219c76aa948baabc0bb52bbca2a490612f76cdf5c1f27772d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f3cb29883909bec8e8cf179b90a5fdf3170ae8cffd960f6d89d128ff30a4e5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-22T19:48:11Z",
    "title_canon_sha256": "e8a0e05f73944d23287bdd74ea1d12555c9687e4dd55428b628f7c4771f820f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.21050",
    "kind": "arxiv",
    "version": 2
  }
}