ABSTRACT

This chapter describes a new way of explaining precepts, a way that will actually tell us how the percept is represented in the observer's mind or in a computer model of it. It explains with examples taken from the perception of 3D shapes. The derivation of the veridicality of 3D shape and 3D space perception as a form of a conservation law was based on two critical facts namely, the 3D objects are symmetrical, and the visual system recovers their shapes by applying an a priori simplicity constraint to the sensory data provided by a 2D retinal image. After 3D symmetry was 'imposed' on this set of resistors, the entire cube was split differently by using subsets of resistors that represented the rotational symmetry of the cube's configuration. The three fundamental aspects of physics, namely symmetry, the least-action principle, and the conservation laws allow physicists to describe and explain underlying, hidden, cause-effect relations.