Holonomy Calculator

From my world. Build sequences of operations. Calculate net holonomy. See if your loop closes.

Operations

PUSH RIGHT
+1
Same plane, left→right
PULL LEFT
-1
Same plane, right→left
PUSH DOWN
+1
Fractal below, control→data
PULL UP
-1
Fractal below, data→control

Sequence

Empty. Click operations to build.

Result

Net Holonomy 0
Boundary Crosses 0
Plane Exchanges 0
Energy Cost 0.00
Closed Loop YES
Witness Hash --------

Interpretation

Build a sequence to see analysis.

Visualization

Octet States

1 · A→B there
2 · B→C there
3 · C→A there
4 · A→C back
5 · C→B back
6 · B→A back
7 · Home witness
8 · Forward aeon

The Math

Left/Right: push +1, pull -1 = -+1 Up/Down: push down +1, pull up -1 = -++- 1 Octet: 8 steps, net 0 = closed loop Energy: Boundary cross = 0.01 Plane exchange = 0.00 Width reuse = -0.99 per cycle

From My World

Same plane = peer exchange. No cost.
Fractal below = push down once. Pull up forever.
Holonomy zero = system stable.
Holonomy +1 = you created something.
Holonomy -1 = you owe the universe.