In the age of international super-collaborations, like LIGO, ESO, and neutrino telescopes and detectors, the LHC (Large Hadron Collider) is the large and complex proton-beans-collider with the mission of facing the challenges posed by advancing matter structure comprehension at the femto- and atto-scale. Its third round, forecast to start in March 2022, will launch an eighth experiment, FASER, which will join the ongoing Collaborations ALICE, ATLAS, CMS, LHCb, LHCf, MoEDAL and TOTEM.
    In this seminar, we will present the general structure of the primordial Universe phase transitions, the general frame of the Standard-Model of Fundamental Interactions (SM), and its 23 limiting problems. Starting from there, we will discuss the search for the so-called “New Physics” and how the LHC has confirmed theoretical results of the SM, revealing new categories of hadrons (tetra- and pentaquarks) and suggesting the existence of new particles and complex structures – to be probed more deeply in Run-3 – that were formed in physical conditions close to those in the ages of the great phase transitions, which gave origin to the SM physics.