Author
E.U.O.
Recent research
- AI & ComputingOpen access
A Physical Principle Behind the Riemann Hypothesis: E8 Mass Gap and Weil Positivity
We present a conditional proof of the Riemann Hypothesis (RH) based on a physical principle from the TTOE: the mass gap of E8 Yang-Mills theory. The proof is conditional on the hypothesis that the mass gap implies a strictly positive spectral gap for the Weil quadratic form QW in...
- AI & ComputingOpen access
A Physical Principle Behind the Riemann Hypothesis: E8 Mass Gap and Weil Positivity
We present a conditional proof of the Riemann Hypothesis (RH) based on a physical principle from the TTOE: the mass gap of E8 Yang-Mills theory. The proof is conditional on the hypothesis that the mass gap implies a strictly positive spectral gap for the Weil quadratic form QW in...
- BiologyOpen access
We show that the standard genetic code is a precise algebraic object, not a contingent table. The 64 codons are the weights of the spinor of so(13); Watson-Crick complementation is the antipode w→-w; the SO(10)→SU(5) step splits the spinor 16 into 10 (matter, hydrophilic) + 5̄ (a...
- Physics & SpaceOpen access
GUT model based on the chain E8 → E6 → SO(10) → SU(5) → G_SM where each breaking generates a generation. The number 3 is a theorem of Lie classification (ANA_TEO_785): among all maximal subgroups H of E8 such that the branching E8 → H produces chiral representations containing th...
- BiologyOpen access
The E8 lattice and the geometry of biopolymers: verified conjecture with causal mechanism
The E8-Biopolymer conjecture is presented in its restricted-scope formulation, with a derived causal mechanism for the alpha-helix and an arithmetic consistency for the genetic code. For the alpha-helix: E8 generates a discrete set of six allowed helical axes (Samoylovich-Talis),...
- Physics & SpaceOpen access
Structural 9CG Fermion Coefficients and an Internal PMNS Parametrization
This manuscript gives a bounded public formulation of the Steps 6–7 fermion block of the TTOE framework. The first part records a Coxeter/branching-motivated selection of nine rational coefficients, denoted 9CG, along the chain E8 → E6 → D5 → A4 → G_SM. These coefficients are com...
- Materials & EnergyOpen access
GUT model based on the chain E8 → E6 → SO(10) → SU(5) → G_SM where each breaking generates a generation. The number 3 is a theorem of Lie classification (ANA_TEO_785): among all maximal subgroups H of E8 such that the branching E8 → H produces chiral representations containing th...
- Physics & SpaceOpen access
We study a topological route to chiral fermions in a framework with a parent E8 symmetry. The positive result is deliberately bounded: in the Jackiw-Rebbi 1+1D analogue, a topological defect localizes one normalizable fermionic zero mode per unit charge, with chirality fixed by t...
- BiologyOpen access
We show that the standard genetic code is a precise algebraic object, not a contingent table. The 64 codons are the weights of the spinor of so(13); Watson-Crick complementation is the antipode w→-w; the SO(10)→SU(5) step splits the spinor 16 into 10 (matter, hydrophilic) + 5̄ (a...