ATLASREALITY CALCULUS Enter the lab
02 / CONTEXTUAL TRANSITION EXPLORER

Follow a possibility.
Watch what survives.

Change a constraint, take an admissible step, and compare the state with its observation.

Synthetic finite-state teaching example · provisional C = (U, A, T, o) interpretation · no measured data.

Define the context

TRY A PRESET

Presets adjust only this synthetic teaching model and do not make physical predictions.

If a new constraint excludes the current path, the path resets to the selected start. The start is always admissible.

Take the next step

Interactive controls require JavaScript. The full model is listed below.

DIRECTED TRANSITION GRAPHILLUSTRATIVE
Five-state directed transition modelA leads to B or C. B and C lead to D. D leads to E, which leads back to B. Distinct B and C share observation beta; D and E share gamma. Current and reachable states also appear in text below.AαBβCβDγEγ

Underlying B and C both produce β; D and E both produce γ. Observation labels do not uniquely identify states.

◎ Current stateSolid edge: admissibleDashed edge / ×: excluded
STATE PATHA
OBSERVATION PATHα

From A, the unmodified graph reaches A, B, C, D, and E.

Reachable does not mean observed.

The graph has no probabilities or timing. It says which changes are allowed, not which will occur.

Observation loses distinctions

Paths A → B → D and A → C → D both produce α → β → γ. The observations alone do not tell you whether B or C was visited.

Constraints change reachability

Exclude D and start at A: A, B, and C remain reachable, while E no longer has an accessible path. This is a property of this graph.

Accessible model specification
Complete transition and observation table
StateOutgoing transitionsObservation
AB, Cα
BDβ
CDβ
DEγ
EBγ