126 lines
8.9 KiB
Markdown
126 lines
8.9 KiB
Markdown
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# The Logic of Aggregations — v1
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*How combinations of components, across scales and timescales and across day and night, make the
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high-level observables — space, time, quantity, and their compounds (flow, frequency, rate) —
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verifiable. This document sits between the two others: the pseudocode says what each component does
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(mechanism); logic_principles says why the model is the kind of object it is and states the general
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principles (the four operations, the ring, the two turnings); this document says what the general
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principles look like when specific components combine. The unit of analysis here is never a single
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component — it is an aggregation.*
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*Why a component has no logic of its own. Asking "what is the logic of the presynapse" is the wrong
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question. A single component reads only what integrates in its own stores; the high-level observables
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— flow, frequency, spatial extent — exist only where several components' emissions accumulate
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together. The logic is therefore a property of relationships, not of parts: it lives in
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PRE ⇄ POST ⇄ ASTROSYNAPSE, in the branch that sums its spines, in the territory that sums its
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processes. This document identifies the aggregations worth describing and, for each, what observable
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it makes verifiable, at what scale, over what timescale, and how that changes between day and night.*
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---
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## The frame: what "verify" means here
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The three axes along which we conceptualize any behavior are **time, space, and quantity**. What an
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aggregation *verifies* is a behavior read along one or more of these axes — and such reads compose
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into the high-level observables: a **frequency** (events per time), a **flow** (quantity per time),
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an **elapsed interval** (time between events), a **specific amount at a specific moment** (quantity
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at a time), a **spatial extent** (quantity over space), a **coincidence** (several things at one time
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and place). None of these is emitted by any component; each is *constituted* by many local acts and
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becomes readable only at a site that holds a store whose instantaneous level is that behavior's
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present shadow (see logic_principles §7, Integrate). The verification is not a computation anyone
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performs — it is the automatic consequence of local acts accumulating in a store, here or above.
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So to describe an aggregation's logic is to answer four questions:
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1. **What behavior along the axes** does this aggregation make verifiable — read along time, space,
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quantity, or their compounds (frequency, flow, elapsed interval, amount-at-a-moment, extent,
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coincidence)?
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2. **At what site** is it integrated — where does the store live that carries its shadow?
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3. **Over what timescale** — is it a fast trace (frequency, recency), a medium store (occupancy,
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participation), or a slow one (structure)?
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4. **How does it change between day and night** — day constitutes the behavior from activity; night
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reads a re-evoked version of it to decide what structure to keep.
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The aggregations below are the ones where these four have interesting, non-obvious answers.
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---
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## Aggregation 1 — PRE ⇄ POST ⇄ ASTROSYNAPSE (the tripartite unit, one synapse)
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This is the smallest complete aggregation and the foundational one. Its logic is that **the three
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axes get three separate owners**, so a single coincidence is not merely detected but *decomposed* —
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each axis verified independently, then recombined at a meeting-site none of the three owns.
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**What behavior it verifies: a coincidence, decomposed into its three axes.** A coincidence is
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several things at one time and place. In a two-party synapse the coincidence would be an
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undifferentiated fact — release met response, or it did not. The third party changes this. Because
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each party owns one axis, the coincidence separates:
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- **PRE owns quantity** — how much was released (the amount, set by its own occupancy × drive).
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- **The astrosynapse owns timing and space** — its clearance sets how long transmitter dwells (the
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temporal window), its coverage sets whether release stays local or spills (spatial isolation).
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- **POST owns the recombination** — its NMDA receptor is where quantity (glutamate), the postsynaptic
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contribution (depolarization), and the astrosynapse's gain (D-serine) meet. It reads the coincidence
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*as scaled by* the timing and gain the other two set.
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So the aggregation verifies not "did they coincide" but "how much, how sharply timed, how spatially
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contained" — three separable reads, because three owners. This is why the synapse is tripartite
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rather than bipartite: three independent axes want three independent controllers (see
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logic_principles §2), and here that abstract claim is a concrete division of who-holds-what.
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**At what site: one site per axis, plus a fourth for the meeting.** There is no single integration
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site. Quantity is integrated in PRE's release; the timing/space read is held in the astrosynapse's
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clearance and coverage state; the gain is held in its D-serine level. The *coincidence event* is
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integrated at a fourth site — POST's NMDA receptor — which holds none of the three axis-stores but is
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where their present shadows overlap. This is the meeting-site principle (logic_principles §7,
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Coincide): the site that reads the coincidence owns none of the signals it compares. The astrosynapse
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is the party that makes the coincidence *witnessable* under locality — it supplies the third input
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(D-serine gain) that neither coinciding party owns, so the event can be registered without any party
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reading another's interior.
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**Over what timescale: the same three parties read at all three rungs at once.** The coincidence
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itself is instantaneous (fast) — glutamate, depolarization, D-serine present together for
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milliseconds. But the same aggregation simultaneously constitutes slower reads: over minutes, the
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running participation of this synapse (how often the coincidence recurred) accumulates as occupancy
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and, dopamine-gated at PRE and POST, as a tag; overnight, the astrosynapse's coverage — the timing
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axis itself — is rebuilt against accumulated spillover. So one tripartite unit verifies an
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instantaneous coincidence, a minutes-long participation, and an overnight structural need,
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*with the same three parties*, each axis-owner reading its axis at every timescale it matters.
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**Day vs night: detect-and-transmit becomes re-verify-and-consolidate, same machinery.** By day the
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coincidence is the event that drives transmission and deposits evidence (the tag at PRE/POST, the
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coverage-need at the astrosynapse). By night the same three parties re-run the coincidence as a probe
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— PRE's replay release, POST's replay response, the astrosynapse's replay clearance — not to transmit
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but to *verify whether the coincidence still holds* when the pattern is re-evoked without the world
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driving it. The participation this re-verification measures is what decides whether each party keeps
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its structure. So the aggregation's day-role (constitute the coincidence from behavior) and
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night-role (re-verify it to arbitrate structure) are the identical three-party mechanism read for two
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purposes — which is the rotation of logic_principles §3, seen at the level of the unit rather than the
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component.
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**The one-line logic of this aggregation:** *three axes, three owners, one meeting-site — so a
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coincidence is decomposed into independently-verifiable amount, timing, and extent, and the same
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decomposition is read fast (the event), medium (participation), and slow (structure), by day to
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transmit and by night to consolidate.*
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---
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## The queue — aggregations still to build
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- **The spine's channels → POST (sub-synaptic).** How many ion channels integrate into one
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postsynaptic response; the smallest integration, and where "quantity at a moment" first becomes a
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single readable value.
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- **The branch's spines → DEND (the clearest spatial integrator).** How the dendrite sums spatially
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distributed spine voltages into one branch signal — space made present at a site; and how attention
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(ACh) reweights the spatial sum.
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- **The soma's branches → SOMA (convergence to a decision).** How dendritic integrals converge into
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one fire/no-fire; where frequency (the soma's own firing rate) and flow (summed input) are read;
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the point at which continuous integration becomes a discrete event.
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- **The astrocyte's processes → ASTROCYTE (territory-scale coincidence).** How local astrosynaptic
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calcium integrates into the regenerative spike; coincidence detection one scale up (synapse-synapse
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coincidence, not pre-post), broadcast back to all processes.
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- **The pathway loop (PRE→POST→DEND→SOMA→AXON→PRE).** How flow and timing become verifiable around a
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recurrent loop; how the night's replay reads the loop's coherence as a mechanical all-or-nothing
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(every link primed or the pattern breaks).
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- **Across timescales within one aggregation** (general note, once several are built).
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- **Across day and night for one aggregation** (general note, once several are built).
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