  We consider 2-2 scattering in four spacetime dimensions in Celestial
variables. Using the crossing symmetric dispersion relation (CSDR), we recast
the Celestial amplitudes in terms of crossing symmetric partial waves. These
partial waves have spurious singularities in the complex Celestial variable,
which need to be removed in local theories. The locality constraints (null
constraints) admit closed form expressions, which lead to novel bounds on
partial wave moments. These bounds allow us to quantify the degree of low spin
dominance(LSD) for scalar theories. We study a new kind of positivity that
seems to be present in a wide class of theories. We prove that this positivity
arises only in theories with a spin-0 dominance. The crossing symmetric partial
waves with spurious singularities removed, dubbed as Feynman blocks, have
remarkable properties in the Celestial variable, namely typically realness, in
the sense of Geometric Function Theory (GFT). Using GFT techniques we derive
non-projective bounds on Wilson coefficients in terms of partial wave moments.
