The Model

The Framework

Projective Process Monism starts from a single structure. Possibility — the space of everything a quantum system could be — is CP³, complex projective three-space. Actuality — the space of settled fact — is RP³, the real part of it. The map between them is τ, complex conjugation: apply it to a possibility and what survives is the real outcome. That selection is what a measurement is. Possibility, actuality, and measurement are three faces of one piece of geometry.

Everything the framework offers is worked out from there. With one measured quantity — the pion mass — fixing the energy scale, the same structure yields the Standard Model's particles and couplings, the strength of gravity, the cosmological constant, and the physical conditions an observer requires. The model on this page is that structure set in motion: the theory's own machinery, running.

Reading the model

Let it run, or take the k slider and move through the cascade yourself. Early on the disc churns fast and stays sparse — hot, quantum, high-rate actualization with little persistence. Through the middle the rate eases and tiles begin to hold their state. Watch the gauges cross the marked thresholds; watch the disc's texture as the cascade reaches the critical zone. Integration runs on by default; the integrate control switches it off. The coupling only acts inside the critical zone, so outside that band the disc runs the same whether integration is on or off — the difference is something to watch for as the cascade crosses the zone.

The thresholds and capacities are framework values; the timing and rate mappings are tuned for legibility. The behavior it runs — actualization, the cascade, coupling forming and dispersing — is the framework's. The derivations and exact values are in the technical reference; the plain-language way in is the Explainer.

What the model shows

The disc is RP³, the grain of actuality. Each tile is a region of it. A tile glowing gold holds a settled fact; the violet haze behind the disc is the CP³ possibility those facts are drawn from; and every cyan flash is a τ-event — one projection from possibility to actuality, one point made definite.

The ladder beside it is the cascade index k — a position on the framework's energy hierarchy, each rung a fixed geometric step anchored by the pion mass. The cascade is a single scale, and to descend it is to trace, at once, the thermal history of the universe, the Standard Model's chain of symmetry breaking, the passage from quantum indefiniteness to classical fact, and the steady narrowing of the information a single event can carry. One geometry sets that scale, so these descend together. The ladder runs from the Planck scale at k=1, through the unification and electroweak thresholds and quark confinement, to the present epoch near k≈80, and on into the deep future. The marked rungs are where the structure of matter changes.

The gauges read what the geometry produces at the current rung. M(t) is the running tally of τ-events the universe has actualized — about 10¹²¹ by the present. G_eff is the strength of gravity, which the framework has weakening over cosmic time as (1+z)³ᐟ². Ambient temperature falls from the Planck scale toward today's 2.7 K. E(k) is the energy of a single τ-event at that rung. Resolvability, R, sets that energy against the ambient thermal noise, k_BT, and the information a single event carries grows with it. Entropy per event, by contrast, never moves — about 5.5 k_B at every rung — fixed by the geometry of the projection rather than by the scale.

Actualization

Watch one tile. It carries a phase that advances steadily; when the phase completes a turn the tile fires — a τ-event, the cyan flash, possibility made actual. Then it fades. Fading is decoherence: the fact loses definiteness and the tile dims back toward possibility, until its phase comes round again and it re-actualizes. The whole disc is a field of these cycles running at once, at a rate the cascade sets — fast and hot near the Planck scale, slow and cool toward the present. Left to themselves the cycles run independently, and the disc shimmers without pattern.

The critical zone, and integration

Resolvability splits the cascade into three regimes. Where R is large, τ-events stand sharp against the thermal background; where R is small, they are washed out by it. The critical zone is the band between — roughly k=54 to 76 — where R passes through order unity and a single event carries about as much as the noise around it. The resolvability sub-band marked inside it, k≈71 to 76, is where that balance is tightest.

That balance is what integration needs. With integration engaged — the model runs with it on — the tiles stop firing independently. Each τ-event begins to draw on the ones beside it, and as the cascade enters the critical zone the disc's shimmer organizes: the flashes find each other and fall onto a single, manifold-wide beat. The synchrony holds only while R stays near unity, per-event signal and thermal noise in balance. Past the resolvability window R sinks below one — thermal noise overruns the signal, the per-event information channel closes, and the coherent beat washes back out into shimmer.

A bound, integrated whole — many separate events acting as one — has a place on the cascade: one band of it, set by the same geometry that fixes the particles and the forces. Biology exploits conditions like these; what the model puts on screen is the physics underneath them.