The paper explores the combination of the Standard Model (SM) with Weyl-invariant Einstein-Cartan gravity, a theory that unifies gravity and gauge symmetries. The authors show that this minimal theory contains an axion-like particle (ALP) with properties that can solve the strong CP problem. The smallness of the ALP mass and the cosmological constant is attributed to the tiny values of the gauge coupling constants of the local Lorentz group. The tree-level mass of the Higgs boson and the Majorana leptons, if added to the SM to address neutrino mass, baryogenesis, and dark matter, is very small or vanishing, suggesting potential computability in terms of fundamental parameters due to nonperturbative effects. The theory also relaxes the strong CP-angle $\bar{\theta}$ close to zero, providing a gravitational solution to the strong CP problem. The paper discusses the implications of this theory for the hierarchy problem and its compatibility with the neutrino Minimal Standard Model ($\nu$MSM). It concludes by highlighting the economic description of known interactions and the potential for non-perturbative effects to compute the Higgs boson and heavy neutral lepton masses.The paper explores the combination of the Standard Model (SM) with Weyl-invariant Einstein-Cartan gravity, a theory that unifies gravity and gauge symmetries. The authors show that this minimal theory contains an axion-like particle (ALP) with properties that can solve the strong CP problem. The smallness of the ALP mass and the cosmological constant is attributed to the tiny values of the gauge coupling constants of the local Lorentz group. The tree-level mass of the Higgs boson and the Majorana leptons, if added to the SM to address neutrino mass, baryogenesis, and dark matter, is very small or vanishing, suggesting potential computability in terms of fundamental parameters due to nonperturbative effects. The theory also relaxes the strong CP-angle $\bar{\theta}$ close to zero, providing a gravitational solution to the strong CP problem. The paper discusses the implications of this theory for the hierarchy problem and its compatibility with the neutrino Minimal Standard Model ($\nu$MSM). It concludes by highlighting the economic description of known interactions and the potential for non-perturbative effects to compute the Higgs boson and heavy neutral lepton masses.