D25 · IMPLEMENTED FIXTURE

Semantic Fractal Topology

A language-addressable spatial machine presented as inspectable state: recursive spatial memory, deterministic transitions, immutable branches, and explicit proof boundaries.

INTERPRETATION BOUNDARYThis fixture does not claim that strings replace geometry or general physics. The interface exposes calculations made by a bounded deterministic kernel.
Spatial Intent Deck
WORLD ROOT RECEIPTfnv1a32:00000000
ENTITYSteel_Ball
Spatial key
oct/0/2/2/0
Mass
8 kg
Velocity
2 m/s
Intent
EAST → CONTACT
MOVING
ENTITYWood_Block
Spatial key
oct/0/2/2/1
Mass
2 kg
Velocity
0 m/s
Constraint
SUPPORTED_BY floor
STABLE
SPATIAL REGIONSurface_Floor

Local metric frame · normal +Y · branch oct/0/2

BREAKPOINTContact_Resolution

Address overlap escalated to the bounded collision solver.

t(105)
  1. 105 · approach
  2. 106 · first contact
  3. 107 · state resolved
Counterfactual workbench

Edit an assumption. Preserve the past.

ACTIVE: MAIN

The first historical edit creates a counterfactual branch. Reset restores the exact authored fixture state.

Resolution event

One-dimensional collision

VALID
solver: rigid-body / 1D / e=1

Steel_Ball → 1.2 m/s

Wood_Block → 3.2 m/s

Momentum before16
Momentum after16
Momentum checkPASS
Energy conservedPASS
The graph exposes the calculation. It does not invent it.
The doorway test

Topology knows connection. Measurement proves fit.

Semantic relations can establish containment, adjacency, and reachability. They cannot establish dimensional clearance without a metric layer. Toggle the evidence available to the solver.

DOES NOT FITClearance: −2 in
Local event receipt

Every accepted control appends a deterministic event.