Almost all constructive ideas in particle theory of the last 5 decades beyond Lagrangian quantization have originated from an incomplete or erroneous understanding of one of the deepest ideas (after scattering theory) which links on-shell with off-shell objects: the crossing property. The bootstrap S-matrix approach, the dual S-matrix model and string theory would not have come into being witho...

We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields minimally coupled to gravity our algorithm gives the conventional Belinfante tensor. We establish that different matter-gravity couplings give metric energy-mo...

For fixed functions G,H:[0,∞)→[0,∞), consider the rotationally invariant probability density on Rn of form μn(ds)=1 ZnG(‖s‖2)e−nH(‖s‖2)ds. We show that when n is large, Euclidean norm ‖Yn‖2 a random vector Yn distributed according to μn satisfies thin-shell property, in its distribution highly likely concentrate around value s0 minimizing certain variational problem. Moreover, we fluctuations t...

We define a ghost D-brane in superstring theories as an object that cancels the effects of an ordinary D-brane. The supergroups U(N |M) and OSp(N |M) arise as gauge symmetries in the supersymmetric world-volume theory of D-branes and ghost D-branes. A system with a pair of D-brane and ghost D-brane located at the same location is physically equivalent to the closed string vacuum. When they are ...

Multiple inner-shell ionization of an atom in a heavy-ion collision and the vacancy rearrangement that follows are fundamental processes that so far have not been adequately described theoretically. The only fundamental theory of multiple inner-shell ionization whose results are widely available is the geometrical model [1]. It predicts that in central collisions (i.e. collisions restricted to ...