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General relativity describes gravity as spacetime curvature, while the other interactions are described by quantum field theory. Naively…
Prove that for any compact simple gauge group, a non-trivial quantum Yang–Mills theory exists on and has a mass gap. The classical…
For the incompressible Navier–Stokes equations in three dimensions, do smooth, globally defined solutions exist for all smooth…
The problem In general relativity, vacuum energy gravitates like a cosmological constant: a Lorentz-invariant vacuum has, contributing to the effective Observations (CMB, BAO, SNe…
Neutrino oscillations fix the mass-squared differences but not the absolute scale or the sign of. What are the absolute neutrino masses, is the ordering normal or inverted, and…
General relativity describes gravity as spacetime curvature, while the other interactions are described by quantum field theory. Naively quantizing the Einstein–Hilbert action…
QCD allows a CP-violating term yet the neutron electric dipole moment forces. Why is so unnaturally small? The Peccei–Quinn axion is the leading proposal, but the axion has not…
Prove that for any compact simple gauge group, a non-trivial quantum Yang–Mills theory exists on and has a mass gap. The classical Yang–Mills action describes massless gauge…
Kolmogorov's 1941 theory predicts an inertial-range energy spectrum but intermittency produces measurable deviations in the scaling exponents. Can the statistics of fully…