Genesis Cybergraph: Foundational Semantic Core
Purpose
The genesis cybergraph should embed a minimal yet universal semantic core, enabling the network to self-organize, learn, and scale without replacing early primitives. This core must:
- Provide irreducible building blocks for computation, reasoning, and consensus.
- Encode universal processes found in nature and cognition.
- Be cryptographically verifiable, quantum-resilient, and privacy-preserving from inception.
Philosophical Foundation
The semantic substrate will model three Pareto-optimal primitives that appear across physics, biology, and information systems:
- Diffusion — irreversible spreading, exploration, entropy growth.
- Springs — reversible oscillation, equilibrium restoration.
- Heat Flow — energy redistribution, dissipation, contextual scaling.
This triad forms a universal basis for transport, storage, and dissipation of energy and information, mapping directly to:
- Attention flow (diffusion)
- Structural balance & hierarchy (springs)
- Contextual scaling and relevance decay (heat flow)
Mathematical Core
The collective focus theorem (CFT) defines consensus as convergence of a token-weighted random walk over a strongly connected graph to a stationary distribution π. Finality occurs when a node’s π exceeds a dynamic threshold τ.
Genesis embeds:
- Particle: Content-addressed node (data, code, concept).
- Cyberlink: Signed, weighted edge (intent, relation, proof).
- Neuron: Cryptographic agent controlling stake, emitting links.
- Token: Attention weight influencing traversal probability.
- Focus vector π: Emergent consensus on significance.
- Threshold τ: Safety bound for finality.
Core Relations & Semantics
The genesis graph must define a minimal ontology of edge types:
- is_a / type_of — semantic classification.
- part_of / contains — composition and modularity.
- causes / results_in — causal or logical dependency.
- endorses / refutes — trust and reputation signals.
- derives_from / generalizes — lineage and abstraction.
- links_to — generic association.
Each edge is a proof particle: it carries both a semantic type and cryptographic evidence.
Cryptographic & Privacy Layer
Genesis must start with:
- BLAKE3-XOF-512 digests for all Merkle nodes (post-quantum headroom).
- Pedersen commitments for edge weights (perfectly hiding, homomorphic).
- Poseidon2 tags for in-circuit verification.
- Selective disclosure API for revealing subgraphs/audit trails without deanonymization.
Economic Anchors
The economic layer links minting to changes in π:
reward(p) ∝ Δπ(p)
- Minted tokens only for focus updates that shift π significantly.
- All other proof types rewarded from fees.
- Damping factor γ to allow network memory to adapt.
Data Availability Strategy
Genesis DA parameters:
- Tier 0: Ethereum calldata roots (critical recovery).
- Tier 1: Active graph in Celestia with light-client verification.
- Tier 2: Archival to Filecoin/IPFS.
Initial Genesis Ontology Snapshot
At genesis, seed the cybergraph with high-level universal concepts:
- Physical processes: diffusion, oscillation, dissipation.
- Logical primitives: true, false, cause, effect.
- Social primitives: identity, trust, value.
- Mathematical primitives: number, function, set, vector.
Each with is_a, part_of, causes, and endorses edges to form a coherent, expandable kernel.
Rationale
By embedding universal physical and cognitive primitives into the genesis state, the protocol ensures:
- Early queries and reasoning have a shared reference frame.
- Emergent intelligence inherits proven stability patterns.
- The system remains auditable, adaptable, and semantically extensible without breaking consensus.