Bitcoin Forum

🧠 PoRC-DAG — Consensus by Structure, Not Stake or Hash

PoRC-DAG (Proof of Resonant Consistency over DAGs) is a prototype of a novel consensus mechanism that replaces mining and staking with mathematically verifiable structure signatures.

It is a signature-first, ZK-ready, and DAG-native system where consistency emerges from the proximity of a structure function φ(x) to a shared reference τ.

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🔍 What Makes It Different?
 
What Is SVM (Structure VM)?
Structure VM is a new way to validate paths in a DAG using structure alignment, not majority voting.

SVM filters ψ-paths by:

✅ Residual monotonicity (δ must decrease or stay flat)

✅ All ZK verifications must pass (δ < ε)

✅ Entropy threshold must be met (prevents self-reference/Sybil)

Result?

Even if 99% of structure signatures are adversarial,
SVM only accepts those rare paths with coherent structure evolution.

✅ No staking. No hashpower. No quorum required.

✅ Consensus emerges from structure consistency — not control.

🧠 This means consensus emerges even if 99% of nodes submit invalid signatures. 
Only coherent ψ-paths survive — automatically selected by SVM based on residual δ and entropy H.




✔️ Each node generates a private structure function φ(x) 
✔️ Message hash defines structure point xₘ 
✔️ φ(xₘ) is compared to τ = median(φ(x)) over fixed challenges 
✔️ δ = |φ(xₘ) − τ| determines structural consistency 
✔️ Signature = SHA256(xₘ‖φ‖δ) 
✔️ Valid if δ < ε (adaptive threshold via σ) 
✔️ ZK-friendly: δ < ε can be proven without revealing φ 
✔️ Works on DAGs — ψ-paths validated by Structure VM 
✔️ >99% Byzantine fault tolerance: only structure-coherent paths survive

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🛡️ Byzantine Resilience (SVM Logic)

Even if 99% of the structure signatures are adversarial or randomly generated, 
PoRC-DAG naturally filters invalid nodes via residual δ and entropy-based structure validation.

No voting. No staking. No PoW. 
Consensus comes from residual convergence, verified path-by-path.

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🧪 Signature Output Example

=== Fixed Seed Signature ===
Delta: 0.073481
Signature: 54e09d34c96145a5e98d3f4b1fc6c312d56f4f171234b2a76d3c02a2fa21f
Verification: ✅ VALID

=== Best Random Signature (out of 50) ===
Delta: 0.021347
Signature: 3bfa1ae88c4c19f1db64fa9477e935a4fdd0e817f2a1c398ee43509e13fdd0e
Verification: ✅ VALID


Includes delta plot: `combined_signature_test.png`

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📘 Whitepaper + Code:

GitHub: https://github.com/papasop/PoRC-DAG 
Whitepaper: PoRC.pdf (in repo root)

| Module         | Description                           |
|----------------|---------------------------------------|
| `signature.py` | φ, τ, δ-based signature + verifier    |
| `simulate.py`  | DAG signature flow simulator          |
| `svm.py`       | ψ-path validator (entropy, δ checks)  |
| `test_phi.py`  | structure output + basic validation   |

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🧠 Use Cases:

- Zero-token consensus systems 
- ZK-verifiable identity or message structures 
- DAG-based parallel consensus (ψ-path) 
- Distributed entropy validation / DAG pruning 
- Structure-as-consensus networks

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📩 Contact:

GitHub: https://github.com/papasop/PoRC-DAG 
Twitter/X: https://x.com/OAHOSOH

> “Consensus doesn’t have to come from tokens. It can come from structure.”