The Standard Model from the Cosmological Constant
Gauge group uniqueness and the graviton edge-mode fraction
Derives the Standard Model gauge group, three generations, and Majorana neutrinos from a single observable — the cosmological constant — with zero free parameters. Achieves Λ/Λ_obs = 0.9999 (0.01σ).
Mar 2, 2026 · Preprint
Plain English
This paper shows that the strength of dark energy — a single number — uniquely determines which particles exist in nature, why there are three generations of matter, and that neutrinos have Majorana mass.
The problem
The Standard Model of particle physics has three unexplained integers: SU(3) for the strong force, SU(2) for the weak force, and three generations of quarks and leptons. Nobody knows why these numbers are what they are. Separately, the cosmological constant has a 3% gap between prediction and observation.
The key idea
The graviton — the quantum of gravity — has a split personality. Its total quantum anomaly has two parts: genuine entanglement (28.8%) and gauge artifacts called edge modes (71.2%). Only the entanglement part matters for dark energy. This ratio, 61/212, is not a free parameter — it is fixed by existing calculations in the literature. It closes the 3% gap to 0.01%.
What the paper does
It scans 144 possible gauge theories and asks: which one is consistent with the observed dark energy? The answer is unique — SU(3) × SU(2) × U(1) with exactly three generations. The continuous solutions are N_c = 3.005, N_w = 1.995, N_gen = 2.997, all within 0.25% of the Standard Model integers. Grand unified theories like SU(5) and SO(10) are excluded because they overshoot by 40–89%.
Why it matters
If correct, the cosmological constant is not the worst prediction in physics — it is the most informative observable in particle physics. A single number encodes the gauge group, the generation count, and the neutrino mass mechanism. The framework also excludes supersymmetry, predicts Majorana neutrinos (testable in labs), and predicts H₀ = 67.3 km/s/Mpc with zero free parameters.
What could go wrong
The DESI experiment hints at w ≠ −1 (3–4σ tension), which would falsify the framework if confirmed at >5σ. The fermion area-law coefficient relies on heat kernel results that cannot be verified on the lattice. Λ_bare = 0 is assumed, not derived from first principles. The paper honestly catalogs every assumption and weakness.