Gnomonic Projection from Objective Flat 3-Space to Subjective Hemi-3-Sphere

Explore a 23-minute conference talk from the Models of Consciousness Conferences that delves into the concept of visual perception and its relationship to subjective space. Examine the proposed model of a primitive subjective space with positive curvature, represented as half of the 3D surface of a 4-ball. Learn about the gnomonic projection that maps objective flat 3-space onto this hemi-3-sphere, preserving visual angles and explaining the perception of straight lines as geodesics. Investigate how this model accounts for the flattening of objects near the visual boundary, known as the celestial sphere, and compare it to traditional perspective models. Consider the implications of this geometric approach for understanding visual perception and the potential effects of attention and experience on subjective space distortion.