🌀 Universal Heisenberg-Fractal Transform (UHFT)

Any function of two variables → Fractal via Heisenberg Uncertainty → Decoded via Escape Iteration

Function Type

Polynomial

Escape Rate

Avg Iteration

Fractal Entropy

Compression

∞:1

Decoded Bits

Fractal Function

z² + c

Heisenberg ℏ

0.50

Max Iterations

100

Escape Radius

4.0

Zoom

1.0x

Mode

Generate

f(x, y) → Ĥ[f] → z_n+1 = f(z_n) + U_ℏ(z_n)

Where Heisenberg Uncertainty: Δx · Δp ≥ ℏ/2 and U_ℏ(z) = e^-ΔxΔp/ℏ

Heisenberg-Fractal Canvas

Escape Iteration Map (Information Encoding)

STEP 1

📊

Input Function

f(x, y)

STEP 2

⚛️

Apply Heisenberg

Ĥ[f]

STEP 3

🔄

Iterate with Uncertainty

zₙ₊₁ = f(zₙ)

STEP 4

🏃

Check Escape

|z| > R

STEP 5

📦

Encode Iteration

n_escape

🔓 Decode Information from Fractal

Point (x, y)

(-0.5, 0.0)

Escape Iteration

Decoded Info

Uncertainty Cost

🎯

Convergence Zone

0 points

🌀

Chaotic Zone

0 points

⚡

Boundary Points

0 points

System: UHFT Encoder/Decoder Active

Current Function: z² + c (Mandelbrot)

Heisenberg Threshold: ℏ = 0.50

Total Iterations Computed: 0