Jorge Luiz Silva de Barcellos

A Lie-Algebraic Architecture of the Cosmos: from the EML Function to so(26) and Dynamic Grand Unification at 13.7 TeV in Geometric Topology 14D (TG)

We present the complete computational architecture of the cosmos according to the General Theory / Geometric Topology (TG). Starting from the atomic function eml(x, y) = e^x − ln y, we demonstrate that non-commutativity at the subcellular level naturally generates the so(14) Lie...

Critical Analysis of HL-LHC Safety at 14 TeV: Impossibility of Cosmic Analogues, Kinematic Asymmetry, Unverified Hawking Radiation and Vacuum Phase Transition Risk in Geometric Topology 14D

This paper provides a rigorous critical analysis of the official LHC safety arguments (LSAG 2008) in light of Geometric Topology 14D (TG). We demonstrate that the three main pillars of the LSAG report — cosmic ray analogies, Hawking radiation, and QCD vacuum stability — are unsus...

Geometric Derivation of the Yang–Mills Mass Gap from the Static 12³ Tessellation in Geometric Topology 14D (TG): Resolution of the Clay Problem, Proton Radius Puzzle and Multiple ΛCDM Tensions

We derive the Yang–Mills mass gap geometrically from the static 12×12×12 tessellation of the General Theory (TG): Δ_QCD = (P_s P_d / 12) m₂ ≃ 1.478 GeV (0.3σ agreement with experimental glueball data). The same discrete systolic architecture (so(12) ⊕ so(7) ⊕ so(7) → so(26)) reso...