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The two critical components of the Digital Mind Math model are p-adic mathematics and reconfigured spacetime, both of which are central to Topological Geometrodynamics (TGD), the theory of physics that Digital Mind Math is based on. In Digital Mind Math, details are grouped to form concepts, as the mind identifies the boundaries of thoughts, which are intricately linked in real spacetime. The contents, sequences, and interconnections among thoughts are efficiently labeled using p-adic mathematics.

P-Adic Mathematics

P-adic mathematics—the mathematics of enclosure and sequencing—is our first mathematics, how we organize our world from infancy onward and the natural mathematics of cognition. Throughout Digital Mind Math, it is shown how p-adic mathematics describes the exact processes identified by cognitive development theorists such as Jean Piaget and Lev Vygotsky, even though they did not label their work p-adically.

Digital Mind Math's core quantum cognitive process proceeds by taking advantage of p-adic mathematics' great efficiency to model all possible next thoughts in quantum configuration space, and then select the next thought to experience by tending to maximize information content. Information content is the p-adic norm, the way that p-adic size is measured. The selected p-adically labeled thought is then experienced as mapped out by its mathematically real analog.