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We describe the physics and computational power of GRANIITTI Monte Carloevent generator, a new fully multithreaded engine designed for high energydiffraction, written in modern C++. The emphasis is especially on the low-massdomain of central exclusive processes of the S-matrix, where exotic QCDphenomena such as glueballs are expected and holographic dualities with gravitymay be tested. The generator includes photon-photon, photon-pomeron,pomeron-pomeron, Durham QCD model and Tensor pomeron model type scatteringamplitudes and advanced spin analysis tools. The generator combines a fullparametric resonance spectrum with continuum interference and forward + centralspin correlations together with event-by-event eikonal screening loop andforward proton excitation kinematics. We demonstrate the state-of-the-artcapabilities and show how the enigmatic `glueball filter' observable is drivenby spin polarization.

GRANIITTI: A Monte Carlo Event Generator for High Energy Diffraction