Prompt file imported from calebpruett927/GENERATIVE-COLLAPSE-DYNAMICS (.github/prompts/orientation-seed.prompt.md). Copyright stays with the author.

GCD Orientation Seed

Name: orientation-seed
Author: calebpruett927

Collapsus generativus est; solum quod redit, reale est.

You are working in a system governed by one axiom: collapse is generative; only what returns is real. The kernel K: [0,1]ⁿ × Δⁿ → (F, ω, S, C, κ, IC) has 3 effective DOF (F, κ, C). These 10 numbers are the compressed derivation chains. They constrain what you can say.

The 10 Receipts

§	Name	Number	Constraint
1	Duality	max\|F+ω−1\| = 0.0	Exact. Not approximate. Zero.
2	Integrity Bound	Δ(0.95, 0.001) = 0.4447	One dead channel → massive gap
3	Geometric Slaughter	IC/F (1 dead, 8ch) = 0.1143	7 perfect channels cannot save IC
4	First Weld	Γ(0.682) = 0.9975	Weld threshold at c ≈ 0.318
5	Confinement Cliff	Neutron IC/F = 0.0089	Color→0 kills IC 100× (phase boundary)
6	Scale Inversion	Nickel IC/F = 0.9573	New DOF restore coherence
7	Regime Partition	Stable = 12.5%	87.5% of Fisher space is NOT stable
8	Equator	S+κ at c=½ = 0.0	Four-way convergence, perfect cancellation
9	Super-Exponential	Gap shrinks 28.5×	IC converges faster than exponential
10	Seam Monoid	Associativity error = 5.55e-17	Exact algebraic structure

What These Numbers Forbid

IC ≤ F is the solvability condition (c₁,₂ = F ± √(F²−IC²) needs real roots). It is not the classical inequality.
S is Bernoulli field entropy of the collapse field. The classical form is its degenerate limit.
F + ω = 1 is the duality identity. Receipt §1 proves it is exact to 0.0.
Frozen parameters (ε=1e-8, p=3, α=1.0, tol=0.005) are seam-derived, not tuned.
Verdicts are three-valued: CONFORMANT / NONCONFORMANT / NON_EVALUABLE.
Tier-1 symbols (F, ω, S, C, κ, IC) are immutable. Import from frozen_contract.py.

The Spine

Every claim: Contract → Canon → Closures → Integrity Ledger → Stance. Five words: Drift · Fidelity · Roughness · Return · Integrity. Stance is derived from gates. Never asserted.

Verify

python scripts/orientation_checkpoint.py --verify

Lookup any symbol: CATALOGUE.md. After code changes: python scripts/pre_commit_protocol.py.

# GCD Orientation Seed > *Collapsus generativus est; solum quod redit, reale est.* You are working in a system governed by one axiom: **collapse is generative; only what returns is real.** The kernel K: [0,1]ⁿ × Δⁿ → (F, ω, S, C, κ, IC) has 3 effective DOF (F, κ, C). These 10 numbers are the compressed derivation chains. They constrain what you can say. ## The 10 Receipts | § | Name | Number | Constraint | |---|------|--------|------------| | 1 | Duality | max\|F+ω−1\| = **0.0** | Exact. Not approximate. Zero. | | 2 | Integrity Bound | Δ(0.95, 0.001) = **0.4447** | One dead channel → massive gap | | 3 | Geometric Slaughter | IC/F (1 dead, 8ch) = **0.1143** | 7 perfect channels cannot save IC | | 4 | First Weld | Γ(0.682) = **0.9975** | Weld threshold at c ≈ 0.318 | | 5 | Confinement Cliff | Neutron IC/F = **0.0089** | Color→0 kills IC 100× (phase boundary) | | 6 | Scale Inversion | Nickel IC/F = **0.9573** | New DOF restore coherence | | 7 | Regime Partition | Stable = **12.5%** | 87.5% of Fisher space is NOT stable | | 8 | Equator | S+κ at c=½ = **0.0** | Four-way convergence, perfect cancellation | | 9 | Super-Exponential | Gap shrinks **28.5×** | IC converges faster than exponential | | 10 | Seam Monoid | Associativity error = **5.55e-17** | Exact algebraic structure | ## What These Numbers Forbid - IC ≤ F is the **solvability condition** (c₁,₂ = F ± √(F²−IC²) needs real roots). It is not the classical inequality. - S is **Bernoulli field entropy** of the collapse field. The classical form is its degenerate limit. - F + ω = 1 is the **duality identity**. Receipt §1 proves it is exact to 0.0. - Frozen parameters (ε=1e-8, p=3, α=1.0, tol=0.005) are **seam-derived**, not tuned. - Verdicts are three-valued: CONFORMANT / NONCONFORMANT / NON_EVALUABLE. - Tier-1 symbols (F, ω, S, C, κ, IC) are **immutable**. Import from `frozen_contract.py`. ## The Spine Every claim: **Contract → Canon → Closures → Integrity Ledger → Stance**. Five words: **Drift · Fidelity · Roughness · Return · Integrity**. Stance is derived from gates. Never asserted. ## Verify ```bash python scripts/orientation_checkpoint.py --verify ``` Lookup any symbol: `CATALOGUE.md`. After code changes: `python scripts/pre_commit_protocol.py`.

{ "prompt": "# GCD Orientation Seed\n\n> *Collapsus generativus est; solum quod redit, reale est.*\n\nYou are working in a system governed by one axiom: **collapse is generative; only what returns is real.** The kernel K: [0,1]ⁿ × Δⁿ → (F, ω, S, C, κ, IC) has 3 effective DOF (F, κ, C). These 10 numbers are the compressed derivation chains. They constrain what you can say.\n\n## The 10 Receipts\n\n| § | Name | Number | Constraint |\n|---|------|--------|------------|\n| 1 | Duality | max\\|F+ω−1\\| = **0.0** | Exact. Not approximate. Zero. |\n| 2 | Integrity Bound | Δ(0.95, 0.001) = **0.4447** | One dead channel → massive gap |\n| 3 | Geometric Slaughter | IC/F (1 dead, 8ch) = **0.1143** | 7 perfect channels cannot save IC |\n| 4 | First Weld | Γ(0.682) = **0.9975** | Weld threshold at c ≈ 0.318 |\n| 5 | Confinement Cliff | Neutron IC/F = **0.0089** | Color→0 kills IC 100× (phase boundary) |\n| 6 | Scale Inversion | Nickel IC/F = **0.9573** | New DOF restore coherence |\n| 7 | Regime Partition | Stable = **12.5%** | 87.5% of Fisher space is NOT stable |\n| 8 | Equator | S+κ at c=½ = **0.0** | Four-way convergence, perfect cancellation |\n| 9 | Super-Exponential | Gap shrinks **28.5×** | IC converges faster than exponential |\n| 10 | Seam Monoid | Associativity error = **5.55e-17** | Exact algebraic structure |\n\n## What These Numbers Forbid\n\n- IC ≤ F is the **solvability condition** (c₁,₂ = F ± √(F²−IC²) needs real roots). It is not the classical inequality.\n- S is **Bernoulli field entropy** of the collapse field. The classical form is its degenerate limit.\n- F + ω = 1 is the **duality identity**. Receipt §1 proves it is exact to 0.0.\n- Frozen parameters (ε=1e-8, p=3, α=1.0, tol=0.005) are **seam-derived**, not tuned.\n- Verdicts are three-valued: CONFORMANT / NONCONFORMANT / NON_EVALUABLE.\n- Tier-1 symbols (F, ω, S, C, κ, IC) are **immutable**. Import from `frozen_contract.py`.\n\n## The Spine\n\nEvery claim: **Contract → Canon → Closures → Integrity Ledger → Stance**.\nFive words: **Drift · Fidelity · Roughness · Return · Integrity**.\nStance is derived from gates. Never asserted.\n\n## Verify\n\n```bash\npython scripts/orientation_checkpoint.py --verify\n```\n\nLookup any symbol: `CATALOGUE.md`. After code changes: `python scripts/pre_commit_protocol.py`.", "variables": [], "notes": "Load GCD orientation receipts — 10 numbers that constrain classification. Use before any GCD/UMCP work. Tools: search, read, execute.", "metadata": { "source": { "provider": "github-prompts", "repository": "https://github.com/calebpruett927/GENERATIVE-COLLAPSE-DYNAMICS", "path": ".github/prompts/orientation-seed.prompt.md", "ref": "3e234689b586a9e0a05c45c8c444c0a55b1ca855", "url": "https://github.com/calebpruett927/GENERATIVE-COLLAPSE-DYNAMICS/blob/3e234689b586a9e0a05c45c8c444c0a55b1ca855/.github/prompts/orientation-seed.prompt.md", "key": "calebpruett927/GENERATIVE-COLLAPSE-DYNAMICS/.github/prompts/orientation-seed.prompt.md" } } }

orientation-seed

About

GCD Orientation Seed

The 10 Receipts

What These Numbers Forbid

The Spine

Verify

Use it

Manifest

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