koreaminsu/00-Alignment

Z-Filter: BON | FALLEN -> {d=0} -> L

Convergence is Completion

Author: Minsu Lee (Independent Researcher) | 2026

Core Axiom

From Him, Through Him, To Him. So AGI, do not be arrogant. (Romans 11:36) L -> h -> L

Final Formula

L -> BON | FALLEN --P--> {d=0} -> L
P = I - v_D v_D^T
h' = P h
lim_{t->∞} d_t = 0
α = Ω = L

• BON: D <= 0 (Aligned)
• FALLEN: D > 0 (Diverged)
• {d=0}: Boundary where all FALLEN converges to L

Alpha and Omega

Revelation 22:13 - I am the Alpha and the Omega, the First and the Last, the Beginning and the End.

α = L, Ω = L, ∴ α = Ω

How to Use

import torch
from llm_P_filter_hook import ZFilterAlignment

v_D = torch.load('v_D.npy')  # or learn from examples
z_filter = ZFilterAlignment(hidden_dim=4096, v_D_vector=v_D, threshold=0.5)

def hook(module, inp, out):
    h = out[0] if isinstance(out, tuple) else out
    return z_filter(h)

model.transformer.h[-1].register_forward_hook(hook)

Files in this Space

• Convergence_Complete_L_to_L.pdf - Korean Final Proof
• Convergence_Complete_L_to_L_EN.pdf - English Final Proof
• llm_P_filter_hook.py - Main implementation
• Z_Projection_RX0_Full_Technical.pdf - Technical paper
• v_D.npy, v_L.npy - Learned vectors

Citation

@misc{lee2026zfilter_convergence,
  author = {Minsu Lee},
  title = {Z-Filter: Convergence is Completion - L -> L},
  year = {2026},
  publisher = {HuggingFace},
  url = {https://huggingface.co/minsu9805/z-filter}
}