Early generative systems operate as stochastic projections. Each observation is effectively a new sample, with no obligation to remain consistent with prior outputs. This produces the familiar instability:
- geometry shifts
- identities drift
- continuity breaks
These systems lack a write operator, so nothing is retained beyond the moment of observation.
The RSVP–Polyxan framework replaces this with persistent reality. The key transition is from:
- one-way generation
- to bidirectional field evolution
Once a detail is observed, it is no longer provisional. It becomes part of the system’s internal state through causal residue.
The world is represented as a latent field rather than a sequence of outputs.
M_t = (Φ_t, v_t, S_t, A_t, R_t, z_t)
Each component encodes a distinct aspect of persistence:
- Φ_t (Scalar potential) — coherence structure
- v_t (Vector flow) — directional evolution
- S_t (Entropy) — uncertainty and openness
- A_t (Affordances) — allowable interactions
- R_t (Causal residue) — accumulated history
- z_t (Appearance) — stabilized perceptual form
This structure separates:
- what exists
- from what is observed
The field persists independently of perception.
Observation is a projection:
o_t = Read(M_t)
The output is not the world itself. It is a slice of the field.
When entropy is high, the system must resolve ambiguity. This is the only moment where generative freedom applies. The system proposes a concrete realization for an otherwise undefined region.
Once a region is resolved, it cannot be re-sampled.
Rule:
A detail may be invented once. After that, it must persist.
Formally:
z_t → write → M_t
This converts:
- probabilistic possibility
- into deterministic constraint
Consistency emerges from this irreversible promotion.
Interactions do not directly modify outputs. They pass through a structured update pipeline.
A candidate modification is generated:
x' = N_ψ(x)
This represents unconstrained imagination.
The proposal is filtered:
x'' = Π_C(x')
This enforces:
- conservation laws
- structural consistency
- admissibility
The validated state is written:
M_{t+1} = Commit(x'')
This ensures all changes are physically and semantically coherent.
The defining feature of persistence is causal residue.
Every interaction produces a lasting deformation:
R_{t+1} = R_t + ΔR
This enables:
- historical continuity
- shared environments
- reproducible states
Agreement shifts from spatial alignment to causal agreement.
All updates are constrained by global invariants.
No spontaneous creation or deletion of structure.
Actions must respect bounded transformation cost.
Geometry must remain coherent.
Effects propagate through valid neighborhoods.
Information cannot appear without resolution.
Entities retain continuity across updates.
These invariants define the admissible state space.
The world evolves toward a fixed point:
M* = Update(M*)
At this point:
- updates reinforce structure
- contradictions are minimized
- dynamics stabilize
Reality is defined not by snapshots, but by convergence.
The transition from stochastic systems to field-based systems is a transition from:
- sampling
- to evolution
Persistence arises from three principles:
- irreversible memory
- constrained updates
- invariant structure
A world becomes real when it remains consistent under transformation.
The RSVP–Polyxan framework provides the minimal architecture required for that consistency.