HIERONYMUS

Publications

Five papers establishing the mathematical foundations and engineering architecture for universal observation through GPU fragment shaders. Every theorem is derived from two axioms: bounded phase space and categorical observation.

5Papers
11,862Lines
211Theorems
294References
25Panels
61Result Files
Paper 11,572 lines

Measurement-Modality Stereograms

Dual-Path Pixel Validation Through Optical and Oxygen-Mediated Categorical Observation

Every pixel is a dual object — visible (optical) + invisible (O₂ categorical). Consistency between the two paths provides cross-validation without ground truth.

53Theorems
56References
5Panels
3Results
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Paper 21,393 lines

Image Harmonic Matching Circuits

Oscillatory Pixel Dynamics and Interference-Based Visual Comparison Without Algorithmic Computation

Image comparison IS interference, not computation. Constructive interference signals a match, destructive interference signals a mismatch — O(1) wall-clock time.

46Theorems
47References
5Panels
10Results
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Paper 32,525 lines

Universal Spectral Matching

Reducing All Comparison to Computer Vision Through Oscillatory Representation and GPU-Parallel Interference

ALL comparison reduces to computer vision on GPU. Every bounded system has a spectral image, and comparing systems means comparing images via interference.

42Theorems
72References
5Panels
13Results
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Paper 43,268 lines

Fragment Shader as Observation Apparatus

O(1)-Memory Universal Computation Through the Rendering-Measurement Identity

Rendering = measurement. The fragment shader IS a physical observation apparatus. O(1) memory, ~13 MB working set, GPU-supervised training without human labels.

52Theorems
55References
5Panels
16Results
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Paper 53,104 lines

Ray-Tracing as Cellular Computation

Simultaneous Optical, Chromatographic, and Circuit Observation Through Volumetric Partition Traversal

A single ray march simultaneously computes optical absorption, chromatographic retention, and circuit current flow — three observations from one traversal.

18Theorems
64References
5Panels
19Results
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All papers by Kundai Farai Sachikonye · AIMe Registry for Artificial Intelligence