truth in the cybergraph has two irreducible components. neither alone is sufficient. together they define what the network calls true
| factor | form | source | question answered |
|---|---|---|---|
| structural | binary — the cyberlink exists | one neuron's signed assertion | what is connected to what? |
| epistemic | continuous — coupling price $\in (0,1)$ | all market participants | how much does the collective believe this connection? |
the structural layer is permanent and append-only — a link that exists cannot be deleted, only economically muted. the epistemic layer is dynamic — the market price shifts continuously as new neurons buy true or false positions on the edge
why two factors
a single-factor truth model fails in one of two directions
structural only: all cyberlinks weighted by stake alone. $\pi^*$ reflects link count and economic weight, but the graph cannot distinguish a well-supported theorem from well-funded spam. the tri-kernel converges — but possibly to a false attractor. there is no inhibitory signal
epistemic only: markets over propositions with no underlying link structure. the market has no substrate — nothing to trade on. belief without assertion is formless
the two-factor model resolves this: the structural link creates the question. the epistemic market discovers the answer. the cyberlink asserts "A relates to B." the coupling market over that edge asks "does the collective believe A relates to B?" the price that emerges is the second truth factor
the formal account
the effective weight of an edge in the tri-kernel:
$$A^{\text{eff}}_{pq} = \sum_{\substack{\ell \in L \\ \text{src}(\ell)=p,\;\text{tgt}(\ell)=q}} a(\ell)\cdot\kappa(\nu(\ell))\cdot f(m(\ell))$$
factor one: $a(\ell)$ — stake on the structural assertion (economic weight of the binary fact)
factor two: $m(\ell) \in (0,1)$ — coupling reserve ratio (market-implied probability the link is valid), transformed by $f$
the two factors multiply. a high-stake link the market disbelieves is suppressed toward zero. a low-stake link the market strongly confirms is amplified through karma and market confidence. the truth signal is the product of conviction and collective validation
the ternary bridge
between binary structure and continuous belief sits valence $v \in \{-1, 0, +1\}$ — the coarse epistemic signal provided at link creation. it is not a third truth factor but the seed that initializes the market. the neuron's prediction of where the coupling market will settle, expressed in three states, before the collective has spoken
the full truth model: binary structure → ternary seed → continuous market → focus distribution $\pi^*$. each layer requires the one below it
valence strategy
valence is part of the attention pipeline — predictions are the first unit of collective attention on an edge's truth value
| Strategy | What happens | Payoff |
|---|---|---|
| true (v=+1) | seeds market toward TRUE. if correct, effective weight starts high immediately | accuracy × time — early correct prediction compounds prob from block T |
| false (v=-1) | seeds market toward FALSE. same mechanics, opposite direction | same — early correct suppression compounds |
| void (v=0) | balanced market. waits for others to trade | safe but slow — misses N blocks of directional prob accumulation |
the payoff is accuracy × time. being right early compounds. being right late earns less. being wrong costs blocks of suppressed weight. being void is free but slow
a neuron with no private knowledge should play void — avoids the penalty of guessing wrong. a neuron with genuine conviction should predict — the first-mover advantage on market seeding is the reward for private knowledge
this is the attention yield curve — but it emerges naturally from the mechanics rather than being a designed reward formula. early accurate conviction → early market seeding → early effective weight → more blocks of prob accumulation → higher karma. the physics does it
the truth block
attractors
| true | market → 1 — edge validated, focus flows |
| void | market → 0.5 — no signal, channel open but empty |
| false | market → 0 — edge suppressed, focus blocked |
mechanisms
| valence | the ternary seed — +1 / 0 / -1 at link creation |
| serum | honesty equilibrium via valence meta-predictions |
| coupling | the market mechanism — TRUE and FALSE geometrically coupled |
| inhibition | how markets provide the inhibitory signal raw links cannot |
| cost | why will cost makes cyberlinks honest |
| honesty | why neurons act honestly — cost + serum + coupling compound |
| market | the unified 2/3 architecture — topology + market + meta-prediction |
lineage
| two kinds of knowledge | structural vs epistemic — why two factors are irreducible |
| true-false problem | why global cyberank alone cannot answer contextual questions |
| standard inference | the naive first solution — will-weighted context scoring |
see truth for the convergent signal both factors produce