I am a Russian researcher, whose research sits at the intersection of noncommutative geometry, quantum field theory in curved spacetime, and gravitational phenomenology. The central object is the spectral action — a functional that encodes gravity and the Standard Model in the spectrum of a generalized Dirac operator.
I am working out the quantitative consequences of this framework: closed-form one-loop form factors for all SM fields, the resulting modified Newtonian potential, PPN parameters, graviton mass spectrum, and the question of whether the theory is UV-finite. The approach combines analytic heat kernel methods, high-precision numerics, and formal verification.
