  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.
