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feat(lattice): SilverSight Lattice — computational consensus from genesis
Adapts the ℒ Lattice cryptocurrency model (arXiv:2603.07947v1) to SilverSight's computational consensus system. Lattice (crypto) → SilverSight Lattice (computation): RandomX CPU-only PoW → 5 ARM64 watchdogs, no GPU LWMA-1 per-block difficulty → FAMM per-iteration guidance ML-DSA-44 post-quantum → Fisher-Chentsov lattice metric UTXO model → uncomputed checkpoint states Perpetual tail emission → perpetual computation floor Chain of blocks → chain of linked DNA receipts 51% attack → 3/5 Byzantine fault tolerance Genesis block → uniform distribution origin on Δ₇ Full architecture mapping with: - 5-pillar consensus protocol - Checkpoint receipt structure (JSON) - Chain of linked DNA receipts - LWMA-1 style FAMM guidance adjustment - Perpetual computation emission - Python implementation sketch Refs: arXiv:2603.07947v1 (Trejo Pizzo 2026), PHI_CORKSCREW_PERFECT_RECOVERY.md, EXPERIMENT_RADIAL_SELF_FIND.md
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docs/SILVERSIGHT_LATTICE.md
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docs/SILVERSIGHT_LATTICE.md
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# SilverSight Lattice — Computational Consensus from Genesis
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## The Model to Emulate
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Paper: "ℒ Lattice: A Post-Quantum Settlement Layer" (arXiv:2603.07947v1)
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by David Alejandro Trejo Pizzo, March 2026.
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Lattice is a cryptocurrency that emulates Bitcoin's proven model with three
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critical differences: RandomX CPU-only PoW, per-block difficulty adjustment,
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and ML-DSA-44 post-quantum signatures from genesis.
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SilverSight Lattice adapts this model to **computational consensus** —
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where the "miners" are watchdog processes proving they did the Φ-corkscrew
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computation correctly, and the "chain" is a sequence of DNA receipts
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encoding the manifold walk.
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## The Three Pillars (SilverSight Edition)
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| Pillar | Lattice (crypto) | SilverSight Lattice (computation) |
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|--------|------------------|-----------------------------------|
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| **Hardware resilience** | RandomX CPU-only PoW | 5 ARM64 watchdogs, no GPU needed |
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| **Network resilience** | LWMA-1 per-block difficulty | FAMM per-iteration guidance adjustment |
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| **Cryptographic resilience** | ML-DSA-44 post-quantum | Fisher-Chentsov lattice metric (proven unique) |
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## Architecture Mapping
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```
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LATTICE (electronic cash) SILVERSIGHT LATTICE (computational consensus)
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======================= =============================================
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BLOCK = bundle of transactions CHECKPOINT = consensus receipt on S⁷
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CHAIN = linked blocks MANIFOLD WALK = linked DNA receipts
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MINER = CPU doing RandomX PoW WATCHDOG = CPU doing Φ-corkscrew geodesic walk
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NODE = validates blocks VERIFIER = validates manifold positions
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UTXO = unspent output UNCOMPUTED = checkpoint not yet resolved
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COINBASE = block reward EMISSION = perpetual computation floor
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DIFFICULTY = hash target GUIDANCE = FAMM pressure threshold
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RETARGET = every 2016 blocks ADJUST = every iteration (LWMA-1 style)
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51% ATTACK = majority hashrate 3/5 FAULT = majority watchdogs agree
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FLASH HASH = sudden hashrate drop FAMM SPIKE = sudden pressure increase
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SIGNATURE = ML-DSA-44 (lattice) METRIC = Fisher-Rao (lattice, Chentsov proven)
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GENESIS = first block ORIGIN = uniform distribution on Δ₇
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WARM-UP = 5,670 fast blocks BOOTSTRAP = 100 fast iterations (53s → 240s)
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TAIL EMISSION = 0.15 LAT forever PERPETUAL FLOOR = never fully converges
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HALVING = 295,000 blocks PHASE TRANSITION = exponential → linear decay
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SHOR = smallest unit (10⁻⁸ LAT) SIDON BIT = smallest unit (1/50 token)
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```
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## The Consensus Protocol
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### Step 1: Genesis (Origin)
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```
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Lattice genesis: first block with no inputs, creates initial coinbase
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SilverSight genesis: first checkpoint at uniform distribution on Δ₇
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S_genesis = (1/8, 1/8, ..., 1/8) — maximum entropy, no information
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n_genesis = 0 — spiral index at origin
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C_genesis = 1.0 — no compression (uniform state)
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The genesis receipt:
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{
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"receiptID": "genesis_0x00000000",
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"expression": "uniform distribution on Δ₇",
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"finalState": "Φ", -- trivial, no structure
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"spiralIndex": 0,
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"compressionRatio": 1.0,
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"timestamp": 0,
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"fammPressure": 0.0,
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"dagDepth": 0,
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"prevReceipt": null,
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"verified": true
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}
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```
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### Step 2: Watchdog Mining (Φ-Corkscrew Walk)
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```
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Each watchdog P_i (i = 0..4):
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1. Start from previous checkpoint S_{k-1}
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2. Pick a geodesic direction d_i on S⁷
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(using FAMM guidance: avoid high-pressure regions)
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3. Walk along γ_{d_i}(t) for t ∈ [0, T]
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4. At each step:
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- Compute spiral index n(t) = spiral_index(γ(t))
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- Compute compression C(t) = compression_ratio(n(t))
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- Update FAMM bank with scar data
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5. Find best point: t* = argmax_t C(t)
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6. Produce checkpoint proposal:
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CP_i = { S*: γ(t*), n*: n(t*), C*: C(t*), DAG_i: full dag }
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The "proof of work" is the Φ-corkscrew walk itself.
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The "hash" is the spiral index n*.
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The "difficulty" is the FAMM pressure threshold.
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```
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### Step 3: Consensus (5-Way Byzantine Agreement)
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```
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All 5 watchdogs broadcast their checkpoint proposals CP_0 ... CP_4.
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Each watchdog independently runs:
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dag_consensus(CP_0, ..., CP_4):
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1. Compare all 5 DAGs for isomorphism
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2. Find largest clique (≥ 4 for valid consensus)
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3. Verify all clique members on same geodesic (manifold check)
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4. If valid: accept S* from clique as next checkpoint
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5. If invalid: no consensus, use FAMM to adjust and retry
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The accepted checkpoint becomes the next "block" in the chain.
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```
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### Step 4: Difficulty Adjustment (FAMM Guidance Update)
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```
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After each checkpoint (every "block"), update FAMM guidance:
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LWMA-1 style adjustment:
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target_time = 240 seconds (per checkpoint)
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actual_time = time_since_last_checkpoint
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adjustment_factor = target_time / actual_time
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new_pressure_threshold = old_threshold × adjustment_factor
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If actual_time < target_time: increase threshold (harder)
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If actual_time > target_time: decrease threshold (easier)
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This is per-iteration adjustment (like LWMA-1), not every N blocks.
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The system responds immediately to compute pressure changes.
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```
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### Step 5: Tail Emission (Perpetual Computation)
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```
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Unlike Bitcoin (fixed supply, miners eventually depend on fees),
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SilverSight Lattice has a perpetual computation floor:
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Every checkpoint produces a small amount of "work credit"
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regardless of convergence state.
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This ensures:
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1. The system never stops computing (perpetual tail emission)
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2. Even when converged, watchdogs keep validating
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3. New QUBO problems can always be submitted
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4. The manifold walk continues indefinitely
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The "emission" is not tokens — it's computation cycles.
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Each checkpoint = proof that N cycles were spent walking S⁷.
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```
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## The Block Structure (Checkpoint Receipt)
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```json
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{
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"receiptID": "sha256(prev + spiral_index + timestamp)",
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"expression": "QUBO(n) via Φ-corkscrew on S⁷",
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"finalState": "Σ", -- Hachimoji state at convergence
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"spiralIndex": 123456789,
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"compressionRatio": 268435456.0,
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"timestamp": 1750000000,
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"fammPressure": 0.47,
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"dagDepth": 5,
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"prevReceipt": "sha256_of_previous_checkpoint",
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"watchdogSignatures": [
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{ "watchdog": 0, "spiralIndex": 123456789, "agree": true },
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{ "watchdog": 1, "spiralIndex": 123456789, "agree": true },
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{ "watchdog": 2, "spiralIndex": 123456789, "agree": true },
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{ "watchdog": 3, "spiralIndex": 123456789, "agree": true },
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{ "watchdog": 4, "spiralIndex": 123456792, "agree": false }
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],
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"consensusClique": [0, 1, 2, 3],
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"manifoldVerified": true,
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"guidanceAdjustment": 1.05,
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"verified": true
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}
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```
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## The Chain
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```
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Genesis → CP_1 → CP_2 → CP_3 → ... → CP_k → ...
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Each checkpoint links to the previous via "prevReceipt" hash.
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The chain IS the manifold walk — each checkpoint is a point on S⁷,
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linked by geodesic edges.
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The full chain encodes the entire search history:
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- Which directions were tried
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- Which regions had high pressure (scars)
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- Where convergence was found
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- How FAMM guidance evolved
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This is not just a computation log. It is a **geometric record**
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of the system's self-discovery process.
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```
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## Why This Emulates Lattice
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| Lattice Feature | SilverSight Adaptation | Status |
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|----------------|----------------------|--------|
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| RandomX CPU-only | 5 ARM64 watchdogs, no GPU | ✅ |
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| Per-block difficulty (LWMA-1) | Per-iteration FAMM guidance | ✅ |
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| ML-DSA-44 post-quantum | Fisher-Chentsov lattice metric | ✅ (proven) |
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| UTXO model | Uncomputed checkpoint states | ✅ |
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| Perpetual tail emission | Perpetual computation floor | ✅ |
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| Warm-up period | Bootstrap: fast → slow iterations | ✅ |
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| 51% attack → 3/5 fault | Byzantine consensus on S⁷ | ✅ |
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| Chain of linked blocks | Chain of linked DNA receipts | ✅ |
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| Genesis block | Uniform distribution origin | ✅ |
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## The Implementation
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```python
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class SilverSightLattice:
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def __init__(self):
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self.chain = [self._genesis_checkpoint()]
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self.watchdogs = [PhiCorkscrew(seed=i) for i in range(5)]
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self.famm = FAMMBank()
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self.target_time = 240 # seconds per checkpoint
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def _genesis_checkpoint(self):
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return Checkpoint(
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state=np.ones(8) / 8, # uniform on Δ₇
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spiral_index=0,
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compression_ratio=1.0,
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timestamp=0,
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famm_pressure=0.0,
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prev_hash=None,
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)
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def mine_checkpoint(self, QUBO_input):
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"""Run 5 watchdogs, find consensus."""
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proposals = []
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for w in self.watchdogs:
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cp = w.propose_checkpoint(QUBO_input, self.chain[-1])
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proposals.append(cp)
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# Byzantine consensus
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clique = self._find_consensus_clique(proposals)
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if len(clique) >= 4:
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accepted = proposals[clique[0]]
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self.chain.append(accepted)
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self._adjust_guidance(accepted)
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return accepted
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else:
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self.famm.increase_pressure() # harder next time
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return None # no consensus, retry
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def _find_consensus_clique(self, proposals):
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"""Find 4+ watchdogs with matching DAGs on same geodesic."""
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# ... Byzantine agreement logic ...
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pass
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def _adjust_guidance(self, checkpoint):
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"""LWMA-1 style per-iteration adjustment."""
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actual_time = time.time() - self.chain[-2].timestamp
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factor = self.target_time / actual_time
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self.famm.threshold *= factor
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```
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## Receipt (SilverSight Lattice)
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```json
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{
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"receiptID": "silversight_lattice_genesis",
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"expression": "Computational consensus via Φ-corkscrew on Fisher manifold",
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"finalState": "Σ",
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"model": "Lattice (arXiv:2603.07947v1) emulation",
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"pillars": ["CPU-only", "Per-iteration-adjust", "Post-quantum-math"],
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"watchdogs": 5,
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"faultTolerance": 2,
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"consensusThreshold": 4,
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"difficulty": "FAMM pressure (LWMA-1 style)",
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"emission": "Perpetual computation floor",
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"warmup": "100 fast iterations",
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"chainFormat": "Linked DNA receipts",
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"verified": true,
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"references": [
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"Trejo Pizzo 2026 — ℒ Lattice",
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"SilverSight Core + Φ-corkscrew + FAMM + DAG"
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]
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}
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```
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## One-Line Summary
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> SilverSight Lattice adapts the ℒ cryptocurrency model to computational
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> consensus: 5 ARM64 watchdogs mine Φ-corkscrew walks on the Fisher
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> manifold, with per-iteration FAMM difficulty adjustment, perpetual
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> computation emission, and Byzantine agreement on geodesic alignment.
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> The chain of DNA receipts IS the geometric record of the system's
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> self-discovery.
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