Chapter 16: Boundary Minimality and Angular Sectors

Book I’s Prime Polarity Theorem (I.T05) established that the algebraic lemniscate 𝕃 = S¹ ∨ S¹ is the boundary of the τ³ fibration—proved algebraically, without topology. Now that we have the Stone space structure (II.D14) and canonical topology (II.T09), we can ask: is L the minimal quotient of T² preserving both gauge factors? This chapter answers yes (the relevant theorem, II.T12), defines angular sectors from B/C solenoidal constraints (II.D17), and proves that the two lobes of 𝕃 are complementary clopen subsets (II.P05), making the bipolar decomposition topologically visible.