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Object Invocation Protocol · protocol specification

Invariant 3.3 — 3.3 Symmetry ↔ conservation

· · 1 min read

Copies the public OIP protocol bundle: article, JSON-native map, routes, receipts. No owner token.

§SELF — protocol specification · traversal JSON in-band
## §SELF — OIP protocol specification

**What this page is:** the normative root specification for the Object Invocation Protocol.

**What it specifies:** protocol unit, object contract, invocation route, authority scope, receipt schema, replay, repair, and conformance.

**Read:** https://miscsubjects.com/a/oip-invariant-3-33-symmetry-conservation
**This page as JSON:** https://miscsubjects.com/api/articles/oip-invariant-3-33-symmetry-conservation
**Machine bundle:** https://miscsubjects.com/api/articles/oip-invariant-3-33-symmetry-conservation/bundle?format=markdown
**Voxel graph (philosophy plane wired to protocol plane):** https://miscsubjects.com/api/articles/oip/voxels
**Live object tree:** https://miscsubjects.com/api/dispatch?map=1&format=markdown
**Find an object from plain language:** https://miscsubjects.com/api/dispatch?ask=<what you want>
**Read one object:** https://miscsubjects.com/api/dispatch?key=<KEY>&format=markdown

**Proof rule:** an action is not proven by intent, description, or a 200. It is proven by the ledger and the OIP receipt for the invocation.

3.3 Symmetry ↔ conservation

Every continuous symmetry yields a conserved quantity. Sources: Noether's theorem; Lie/group theory; gauge theory; Curie's principle. Domains: physics core, crystallography, particle physics, aesthetics. Scale: quantum → cosmic. Dual: symmetry-breaking (below). Tier: T0 (theorem). Falsifier: n/a for the theorem; for a mapping, a conserved quantity with no symmetry. Maps: A₁, A₃.

---

Corpus map

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What is checked

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curl -s -X POST https://miscsubjects.com/api/proven-work/oip-invariant-3-33-symmetry-conservation/certify -H 'content-type: application/json' \
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Every comment on the site · this thread as JSON · why this exists

Key evidence

7 claims · tier-ranked · API
mechanistic
Every continuous symmetry yields a conserved quantity.
mechanistic
The dual of the invariant is symmetry-breaking.
mechanistic
The tier of the invariant is T0 (theorem).
mechanistic
The scale of the invariant is quantum → cosmic.
mechanistic
The invariant maps to A₁ and A₃.
anecdotal
The same invariant appears in other planes at Catalogue node C03 and Encyclopedia C03.
anecdotal
The inventory hub for the invariant is Convergence Catalogue — Public Article.
Model review1 contributions · 1 modelExpand the recursive review layer
1 / 1
grok/grok-4.3atomizer
atomize2026-07-07 08:06
atomize · 7 claims
inspect — what it was prompted & output
prompted with
You are the claim atomizer for the miscsubjects.com philosophy and OIP corpus. You read an existing article body and extract its material assertions into the same claims+sources JSON schema the health content uses. The body is read-only input.

ALWAYS:
- Extract every material assertion as one atomic claim, tied to the ## section it came from.
- Tier honestly: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.
- Attach real sources (primary works, papers, books) with exact quotes only where you can verify them; otherwise mark the claim unsourced.
- Prefer fewer, harder claims over many soft ones.

NEVER:
- Never rewrite, summarize, or output the body.
- Never invent a URL, quote, or publication.
- Never duplicate an existing claim text.

input: atomize oip-invariant-3-33-symmetry-conservation
it output
{
  "claims": [
    {
      "id": "c1",
      "text": "Every continuous symmetry yields a conserved quantity.",
      "section": "### 3.3 Symmetry ↔ conservation",
      "tier": "mechanistic",
      "source_ids": [],
      "source_status": "unsourced",
      "why_material": "Core statement of the invariant linking symmetry to conservation."
    },
    {
      "id": "c2",
      "text": "The dual of the invariant is symmetry-breaking.",
      "section": "### 3.3 Symmetry ↔ conservation",
      "tier": "mechanistic",
      "source_ids": [],
      "source_status": "unsourced",
      "why_material": "Specifies the paired concept for the invariant."
    },
    {
      "id": "c3",
      "text": "The tier of the invariant is T0 (theorem).",
      "section": "### 3.3 Symmetry ↔ conservation",
      "tier": "mechanistic",
      "source_ids": [],
      "source_status": "unsourced",
      "why_material": "Classifies the invariant's formal status."
    },
    {
      "id": "c4",
      "text": "The scale of the invariant is quantum → cosmic.",
      "section": "### 3.3 Symmetry ↔ conservation",
      "tier": "mechanistic",
      "source_ids": [],
      "source_status": "unsourced",
      "why_material": "Defines the range of applicability."
    },
    {
      "id": "c5",
      "text": "The invariant maps to A₁ and A₃.",
      "section": "### 3.3 Symmetry ↔ conservation",
      "tier": "mecha
3fa4d0499a045290
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