Nuclear and Atomic Puzzles Resolved by Boundary Geometry: Nine Predictions from Information-Pressure Theory

Description We extend Information-Pressure Theory (IPT) to resolve nine long-standing puzzles in nuclear, atomic, and particle physics using only two geometric inputs: the color number Nᶜ = 3 from the M₃(ℂ) algebra factor and the Euler characteristic χ = 2 from the S² causal boundary. The nine puzzles resolved are: Nuclear magic numbers {2, 8, 20, 28, 50, 82, 126} — derived from χ = 2 spin-orbit coupling on S² boundary modes Cosmological lithium-7 depletion — the factor-of-3 BBN discrepancy explained by 1/Nᶜ suppression at the (Z,N) = (3,4) charge-color resonance Beryllium-8 decay width Γ = 5.57 eV — derived from (Nᶜ+1, Nᶜ+1) = (4,4) double spacetime saturation with π⁻⁸ coherence suppression Hoyle state energy ΔE = 0.379 MeV — the "anthropic coincidence" of carbon production reduced to geometric necessity Periodic table limit Z_max = 118 — derived from slot orthogonality: s! − χ = 120 − 2 = 118 Proton stability — absolute stability from SU(2)_L gauge closure in the IPT-derived Standard Model Charge quantization |Qₚ| = |Qₑ| — exact equality from anomaly cancellation with Nᶜ = 3 Color confinement — only color-singlet states are boundary-admissible via the SU(3) singlet projector Lepton mass hierarchy and Koide relation Q = 2/3 — derived from boundary mode counting to 99.9% accuracy All results derive from the boundary algebra 𝒜_F = ℂ ⊕ ℍ ⊕ M₃(ℂ) selected by the BSCT/BRT principles. Average agreement with experiment exceeds 99%. The paper includes 197 verification tests confirming all mathematical derivations. Keywords Information-Pressure Theory, IPT, nuclear magic numbers, spin-orbit coupling, lithium-7, cosmological lithium problem, Big Bang nucleosynthesis, beryllium-8, alpha decay, Hoyle state, carbon-12, triple-alpha process, periodic table, superheavy elements, oganesson, proton stability, baryon number conservation, charge quantization, color confinement, quark confinement, Koide relation, lepton masses, spectral geometry, noncommutative geometry, boundary entropy, causal diamonds, Standard Model