New generalization of z-scaling in inclusive particle production is proposed. The scaling variable z is fractal measure which depends on kinematical characteristics of the underlying sub-process expressed in terms of the momentum fractions x1 and x2 of the incoming protons. In the generalized approach, the x1 and x2 are functions of the momentum fractions ya and yb of the scattered and recoil constituents carried out by the inclusive particle and recoil object, respectively. The scaling function psi(z) for charged and identified hadrons produced in proton-proton collisions is constructed. The fractal dimensions and heat capacity of the produced medium entering definition of the z are established to obtain energy, angular and multiplicity independence of the psi(z). The scheme allows unique description of data on inclusive cross sections of charged particles, pions, kaons, antiprotons and lambdas at high energies. The obtained results are of interest to use z-scaling as a tool for searching for new physics phenomena of particle production in high transverse momentum and high multiplicity region at proton-proton colliders RHIC and LHC.

20 pages, LaTeX, 21 figures, Presented at the Workshop of European Research Group on Ultra-Relativistic Heavy Ion Physics, Dubna, Russia, March 9-14, 2006