# The Unexpressed Objects — v1

*The objects the mechanism implies but never expresses. The pseudocode has PRE, POST,
ASTROSYNAPSE — three components, each running its own local loop. It has no `synapse`: no variable
holds one, no line makes one act. Yet the synapse is real — the system builds it, sustains it,
consolidates or forgets it. The synapse is an object that is **verified but never expressed**: it
exists only as a behavior that three components continuously constitute together, along the axes of
time, space, and quantity. This document is the catalogue of such objects — the synapse, the branch,
the cell, the assembly, the rhythm — each real, each acted upon, none appearing in the mechanism,
each existing only as a sustained mutual project its parts are always working at without any of them
containing it.*

*How this document differs from the other two. The pseudocode describes what is **directly
expressed**: local components and their loops. logic_principles describes **why** the model is the
kind of object it is, and the general operations (integrate, coincide, broadcast, inject) by which
the unexpressed becomes verifiable. This document describes the **unexpressed objects themselves** —
a distinct ontological layer: the things that exist by verification rather than by expression. It is
not a higher-level summary of the pseudocode; the pseudocode does not contain these objects at all.
It is the ontology the mechanism implies but never states.*

*Why the framing matters. If read as "a convenient higher-level view," this document collapses into
redundancy. Its actual claim is stronger: there is a whole layer of real objects that the mechanism
acts upon but expresses nowhere, and describing that layer honestly is a genuine addition. Each
object below is real in the only sense the model allows — it is continuously verified — and expressed
in no component.*

---

## The frame: verified but not expressed

The three axes along which any behavior is conceptualized are **time, space, and quantity**. An
unexpressed object is *verified* when its behavior, read along these axes, is constituted by its
parts and held as the level of some store — the object's present shadow (see logic_principles §7,
Integrate). Behaviors read along the axes compose into the observables: a **frequency** (events per
time), a **flow** (quantity per time), an **elapsed interval** (time between events), an **amount at
a moment** (quantity at a time), a **spatial extent** (quantity over space), a **coincidence**
(several things at one time and place). None is emitted by any component; each is constituted by many
local acts and readable only where they accumulate. The verification is not a computation anyone
performs — it is the automatic consequence of local acts accumulating in a store.

But an unexpressed object is more than a passively-observed pattern. It is an **active project**: its
parts are continuously *aligning* along the three axes — tuning toward each other so the behavior
lands better and lasts longer. So each object is described through two lenses that are the same
structure still and moving:

- **Decomposed (still):** what behavior the object's parts constitute, and how it separates along the
  three axes — which part owns which axis, and where the axes recombine.
- **Aligned (moving):** how the parts actively tune toward each other along those axes — and, because
  each part belongs to its own larger whole, how the object is really the *discovered compatibility
  of several larger rhythms*, sustained under a stamina budget (align well **and** align long).

To describe an unexpressed object, five questions:

1. **What behavior** does it constitute, read along time, space, quantity, or their compounds?
2. **Which part owns which axis**, and at what site do the axes recombine (the meeting-site that owns
   none of them)?
3. **Over what timescales at once** — the object is verified concurrently at several grains, each a
   store the faster fills and the slower reads.
4. **As what alignment project** — what are the parts tuning toward, within which larger wholes, and
   under what stamina budget?
5. **How does it turn day to night** — day constitutes the object from behavior; night re-evokes it
   as a probe to decide what structure to keep.

The objects below are the ones where these have interesting, non-obvious answers.


---

## Object 1 — The Synapse (constituted by PRE ⇄ POST ⇄ ASTROSYNAPSE)

The synapse is the first unexpressed object: nowhere in the mechanism, everywhere in the behaviour.
Three components constitute it, and it is real only as what they verify together.

### Decomposed — the coincidence, separated into three owned axes

A coincidence is several things at one time and place. In a two-party contact it would be an
undifferentiated fact — release met response, or it did not. The third party decomposes it, because
each party owns one axis:
- **PRE owns quantity** — how much is released, set by its own occupancy × drive.
- **The astrosynapse owns timing and space** — its clearance sets how long transmitter dwells (the
  temporal window); its coverage sets whether release stays contained or spills (spatial isolation).
- **POST owns the recombination** — its NMDA receptor is where quantity (glutamate), the postsynaptic
  contribution (depolarisation), and the astrosynapse's gain (D-serine) meet; it reads the
  coincidence *as scaled by* the timing and gain the others set.

So the synapse verifies not "did they coincide" but "how much, how sharply timed, how contained" —
three separable reads because three owners. This is why the synapse is tripartite and not bipartite
(logic_principles §2, here made concrete as a division of who-holds-what). And the sites are plural:
quantity is integrated in PRE's release, timing/space in the astrosynapse's clearance and coverage,
the coincidence *event* at a fourth site — POST's NMDA — which holds none of the three axis-stores
but is where their shadows overlap. The astrosynapse is what makes the coincidence witnessable under
locality: it supplies the third input neither coinciding party owns, so the event registers without
any party reading another's interior.

### Aligned — the same three axes, in motion, as a sustained project

The decomposition is the object at rest. In motion, the synapse is not detecting a coincidence but
**working toward one, repeatedly, along all three axes** — the two sides tuning toward each other so
the next attempt lands better:
- **quantity alignment** — PRE and POST tune the match between how much is released and how strongly
  POST responds (release capacity against receptor sensitivity);
- **timing alignment** — the astrosynapse tunes the window (clearance → dwell) so release and
  response fall within the same instant;
- **space alignment** — the astrosynapse tunes coverage so the contact is contained, not bleeding
  into neighbours.

The synapse is the *project of aligning along three axes at once*. And it is never bilateral: each
party belongs to its own larger whole — PRE to its neuron, POST to its neuron, the astrosynapse to
the astrocyte's territory (with its alpha rhythm and territory-wide calcium spike). So the two
synaptic partners are not free agents agreeing to meet; each is already committed to a larger rhythm.
The synapse therefore verifies the **discovered compatibility of larger rhythms** — do PRE's neuron
and POST's neuron (and the astrocyte's territory) turn out to match in *when*, in *how much*, and in
*where*, often enough and sustainably enough to be worth cementing. Strengthening happens where three
larger wholes prove temporally, quantitatively, and spatially compatible at one contact point. The
astrosynapse's "indirect assistance" is precisely its folding of a *third* larger rhythm (the
territory's) into the two-neuron alignment.

### Concurrent — several alignments at once, at different grains, coupled through stores

The alignment is not one process but a stack of them, running **at the same time** at different
temporal grains, and this is the hard thing to say plainly: at any instant the synapse is
simultaneously
- attempting a **spike-to-spike** alignment (does this release meet this depolarisation? — ms),
- tracking a **train-to-train** alignment (does the *burst* fall in the depolarised *window*? — tens
  to hundreds of ms; synchronisation is over multiples of spikes, not single ones — short-term
  plasticity lives here),
- accumulating a **participation** alignment (is this synapse *consistently* in the co-active set? —
  minutes; the running average),
- and holding a **structural** alignment (is this worth permanent structure? — the overnight tag).

They run concurrently but communicate only through stores, and the coupling has a direction: **the
fast attempts deposit into stores the slower processes integrate, and the slow decisions set the
configuration the fast attempts run within.** Last night's structural alignment is this morning's
starting bias (the standing ceilings); the participation average reads the train-level's success; the
train-level tunes the gain the next spike-attempt uses; each spike deposits the fast trace the
train-level reads. So one does not describe them in sequence — one describes a stack of servos, each
closing its loop at its own rate, nested so that slow sets the frame and fast fills the evidence. This
is the timescale ladder (logic_principles §4) read as concurrent alignment rather than as static
decay rates.

### Under a budget — precision and stamina are the two success-conditions of one project

Alignment is not free; it costs fuel, and the budget limits how long the synapse can keep trying. So
the project has *two* success-conditions, not one: **align well** (land the coincidence hard enough
to matter) **and align long** (hold the alignment as long as the task demands). These are exactly the
two consolidation pathways the mechanism separates — strength and endurance — now revealed as the two
dimensions of a single project: *be good at coincidence, for as long as it takes*. Strength is
**precision** (did the alignment land?); endurance is **stamina** (could you sustain it?). A memory
must be both — well-aligned and sustainable — which is why the model carries both a dopamine-gated
strength tag (precision, at the significance-deciding sites) and a homeostatic endurance need
(stamina, everywhere). The synapse is not just trying to align; it is trying to align *and hold*,
within a budget that says how long the holding can last.

### Day to night — constitute, then re-verify

By day the synapse constitutes the coincidence from behaviour and deposits evidence (the tag at
PRE/POST, the coverage-need at the astrosynapse). By night the same three parties re-run the
coincidence as a probe — replay release, replay response, replay clearance — not to transmit but to
verify whether the alignment still holds when the pattern is re-evoked without the world driving it.
The participation this re-verification measures decides whether each party keeps its structure. So the
synapse's day-role (constitute the alignment) and night-role (re-verify it to consolidate) are the
identical three-party project read for two purposes — the rotation of logic_principles §3, at the
level of the object.

**The synapse in one line:** *three larger rhythms, meeting at one contact, trying to align along
when / how-much / where — concurrently at four grains, under a stamina budget — so that a coincidence
is decomposed into three owned axes by day and re-verified as a sustained alignment by night.*

---

## The queue — objects still to build

- **The dendritic branch** (constituted by its spines → DEND). The clearest spatial integrator: how
  spatially distributed spine alignments sum into one branch behaviour; how attention (ACh) reweights
  the spatial sum; what "a branch" verifies that no spine does.
- **The neuron's decision** (constituted by branches → SOMA). Convergence of dendritic integrals into
  one fire/no-fire; where the neuron's own **frequency** (its firing rate) and **flow** (summed input)
  become verifiable; the point at which continuous integration turns into a discrete event.
- **The astrocytic territory** (constituted by processes → ASTROCYTE). Coincidence one scale up —
  synapse-synapse-synapse co-activity, not pre-post — integrated into the regenerative calcium spike
  and broadcast back; a higher-order unexpressed object detecting a higher-order coincidence.
- **The pathway loop / assembly** (PRE→POST→DEND→SOMA→AXON→PRE). The largest unexpressed object: how
  a recurrent loop verifies flow and timing around itself, and how the night's replay reads the whole
  loop's coherence as mechanical all-or-nothing (every link primed or the pattern breaks). The
  assembly is the object most purely unexpressed — it is nothing but the coincidence of many primed
  thresholds.
- **The rhythm** (cross-cutting). Frequency and phase as objects in their own right — what it means
  for the system to verify and align to a rhythm (alpha, the day/night switch) that no component holds.
