Rowan Brad Quni-Gudzinas

Adelic Synthesis: The Pattern-Particle Correspondence and the Complete Arithmetic Theory of Anyons

The prior three phases of this program constructed p-adic anyon theories at individual finite places: p-adic braid groups on Bruhat-Tits buildings (Phase 1), the Temperley-Lieb parameter as p-adic cyclotomic units with the p-adic Jones polynomial (Phase 2), and anyon fusion and b...

p-Adic Braid Groups on Bruhat-Tits Buildings

The standard braid group $B_n$ is defined as the fundamental group of the configuration space of $n$ distinct points in $\mathbb{R}^2$, $\pi_1(\text{Conf}_n(\mathbb{R}^2))$. This construction is inherently archimedean: it relies on the continuous topology of $\mathbb{R}^2$ to def...

Quantum Laws of Form: A Syntactic Foundation for Physics

A synthesis of Spencer-Brown's Laws of Form with quantum foundations, exploring the re-entrant form as minimal observer and the calculus of indications as a native language for quantum measurement.