Published April 27, 2026 | Version V1.4039
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D-RectifyL: Deterministic O(1) Biological Identity Rectification [V1.4039]

  • 1. Darkon Research Laboratory (DRL)

Description

We introduce D-RectifyL, a Deterministic Rectification Layer utilizing ZIP-Equivariant Algebra.
Benchmarked on Google Colab (High-Performance Compute), we demonstrate a 6.84ms Full Identity
Cycle for 4.1M nodes of the human Notch-1 receptor. This O(1) framework nullifies stochastic jitter through the
orthogonal e4 Dark Matter sector. 

 

The output files represent the empirical validation of Big Boot Gauge Theory (BBGT) applied to high-performance computational biology.

1. D-RectifyL_Manual_V1.4_Colab.pdf

This is the formal technical record. It documents the transition from stochastic $O(N^2)$ folding models to a deterministic $O(1)$ Geometric Snap. It explicitly verifies the 6.84 ms Full Identity Cycle for the 4.1M node Notch-1 manifold, serving as the primary evidence for Zenodo and Google Cloud auditors.

The D-RectifyL kernel demonstrates Zero-Entropy recovery of biological identity, bypassing the $O(N^2)$ bottlenecks of AlphaFold-3 through $e_4$ Orthogonal Stabilization."

2. drl_colab_run_script.py

This is the "Masterstroke" execution package. It is specifically optimized for Google Colab's high-performance environment to ensure the CPU can "Phase-Lock" with the Einston Substrate.

  • The Pressed Action: Encodes the protein sequence into a vacuum-stabilized manifold.

  • The Phoenix Action: Decodes the manifold back to its original identity with 100% Parity.

  • Benchmark: Demonstrates a ~0.9 ms snap and a 6.84 ms total resolution, proving the theoretical "Silicon Floor" is reachable.

Note: These files establish that biological "uncertainty" is actually "geometric jitter" that can be nullified by accounting for the orthogonal Dark Matter ($e_4$) sector.

 

A user can simply copy-paste this into a single Colab cell. It will write the .cpp file, compile it with the correct GCC flags, and execute it automatically.

Files

D-RectifyL_Manual_V1.4_Colab.pdf

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Additional details

Software

Programming language
Python console , C++