valence
the ternary epistemic field of a cyberlink: $v \in \{-1,\,0,\,+1\}$. cybergraph carries the field; tru runs the dynamics it seeds. valence is the neuron's meta-prediction, fixed at link creation, of where the ICBS market on that edge will settle — the coarse, human-readable quantization of belief before the market produces a continuous probability.
| value | name | meaning |
|---|---|---|
| $+1$ | affirm | the neuron predicts the ICBS market will converge toward TRUE |
| $\phantom{+}0$ | void | the link exists; no epistemic bet is posted — the channel is held open |
| $-1$ | challenge | the neuron predicts the market will converge toward FALSE |
the third layer
valence is the epistemic dimension of the cyberlink, orthogonal to the other two:
| layer | field(s) | type | what it encodes |
|---|---|---|---|
| structural | $(\text{from}, \text{to})$ | binary | connection exists or does not |
| economic | box $(\tau, a)$ | continuous | conviction depth |
| epistemic | $v$ | ternary | prediction of collective judgment |
$v = -1$ is not contradiction. a neuron can assert a structural connection while predicting the network will judge the link false — rational when the neuron knows something the market has not yet priced, or deliberately adds anti-knowledge for others to refute. BTS rewards this exactly when the prediction proves correct.
binary topology, ternary economics
valence is the ternary economic layer over a binary topology — the same architecture mycorrhizal networks, neural synapses, and markets all run:
| domain | $+1$ | $0$ | $-1$ |
|---|---|---|---|
| cybergraph | affirm: market → TRUE | void: no prediction | challenge: market → FALSE |
| neurobiology | excitatory synapse | neuromodulation | inhibitory synapse |
| mycelium | give resources | hold channel | receive / take |
| market | buy TRUE | hold | buy FALSE |
the zero state carries information without carrying directional belief: a void-valence link holds the structural channel open — the connection exists, the topic is raised — without forcing an epistemic commitment. for the full accounting frame of $v$ as debit / credit / hold, see valence as accounting.
effect on focusing
valence does not enter effective adjacency directly. it seeds the market whose price $m(\ell)$ weights the edge:
$$A^{\text{eff}}_{pq} = \sum_{\substack{\ell \in L \\ \text{src}(\ell)=p,\;\text{tgt}(\ell)=q}} a(\ell)\cdot\kappa(\nu(\ell))\cdot f\big(m(\ell)\big)$$
$v$ is the input to Bayesian Truth Serum scoring — it is $m_i$ in the BTS formula. the score accumulates into karma $\kappa$ and drives the ICBS price $m(\ell)$, which $f:[0,1]\to[0,1]$ maps to an edge multiplier. edges the collective disbelieves converge to $m \approx 0$, so $f(m)\approx 0$ — suppressed in the tri-kernel without being deleted from the record. this is market inhibition: the graph-theoretic analog of inhibitory transmission. without negative valence, $A^{\text{eff}}$ is purely excitatory — the graph could reinforce but never suppress.
connection to syntropy
valence-seeded prices, once resolved, raise syntropy when predictors are accurate — $\phi^*$ sharpens around true structure, $J(\phi^*)$ rises — and lower it when markets stay divided. a neuron whose $v$ predictions proved correct earned positive BTS score and raised the graph's order.
see Bayesian Truth Serum for the scoring formula · truth-scoring for karma accumulation · inversely coupled bonding surface for the market substrate · focusing for effective adjacency · syntropy for what accurate valence grows.
discover all concepts