Quantum Laws of Form

Quantum information is not intrinsically fragile; we have been measuring it incorrectly. This monograph presents a radical re-foundation of physics based on George Spencer-Brown's Laws of Form, strictly adhered to and extended into a Syntactic Token Calculus (STC). The framework generates elementary particles, their physical properties, and cosmological dynamics from two primitive gestures—the mark # and the enclosure [ ]—and two reduction rules (Calling, Crossing). It discards continuous mathematics and background spacetime, modeling reality as a computationally irreducible, ultrametric Bruhat–Tits tree of distinctions. This synthesis unifies micro-scale particle generation (mass, charge, and spin as projective cross-ratios) with macro-scale cosmology, explaining Haug & Tatum's continuous geometric-mean CMB temperature as the coarse-grained shadow of a discrete, log-periodic reality. The STC yields concrete, testable predictions, including log-periodic oscillations in the CMB, passive geometric fault tolerance in non-Archimedean quantum circuits, and ultrametric clustering in neural data.