Logic of Existence (LoE), AI Sense Of Sight A Relational Geometry Framework for AI, Physics, and Consciousness

Logic of Existence (LoE) is a relational geometric framework developed to describe perception, physical dynamics, information flow, and artificial intelligence using minimal relational structures rather than probabilistic approximations.

This document introduces LoE Vision Layer v1.0, Existence-Cell Expanded v2.0, and the LoE Perceptual Autoencoder v1.0 — the first coherent architecture of artificial visual perception based on minimal necessary geometric figures and relational operators rather than convolution, embeddings, or attention mechanisms.

The key contributions of this work include:

a formal definition of minimal necessary figures for perception;

a complete family of LoE relational operators (relational gradient, angle, Laplacian, and the LoE vision operator);

the Existence-Cell v2.0, a triadic LoE neuron integrating geometry, propagation, and causal coherence;

a relational autoencoder that reconstructs relational fields rather than pixel intensities;

an alternative mathematical foundation for perception: geometric–relational rather than statistical.

The LoE approach provides a general blueprint for non-probabilistic AI perception, compatible with both symbolic and continuous systems, and with potential applications in physics, robotics, cognitive science, computer vision and cosmology.

This document is part of the ongoing Logic of Existence program.