We compute the inflationary perturbation spectra and quantity r+8nT to next-to-next-to-leading log order in quantum gravity with purely virtual particles (which means theory R+R2+C2 fakeon prescription/projection for C2). The are functions of running coupling ? (1/k) satisfy cosmic renormalization-group flow equations, which determine tilts coefficients. tensor fluctuations receive contribution...

We study the inverse scattering problem of determining a magnetic field and electric potential from measurements corresponding to finitely many plane waves. The main result shows that coefficients are uniquely determined by $2n$ up natural gauge. also show one can recover full first order term for related equation having no gauge invariance, it is possible reduce number if have certain symmetri...