Quark confinement in the context of the Acta Universi hypothesis

Abstract (English) Quark Confinement in the Hypothesis of Acta Universi: An Informational-Entropic Approach This work proposes a fundamentally new interpretation of quark confinement within the framework of the Acta Universi (AU) hypothesis—an informational-ontological paradigm in which the primary entity is the thoughtform entropy field SΘSΘ, and all physical interactions emerge as properties of its dynamics. The central thesis is that confinement is not a nonperturbative dynamical property of quantum chromodynamics (QCD), but rather a consequence of a fundamental informational-entropic constraint imposed by the finite capacity of the AU-field, bounded by the holographic limit SholoSholo. The study develops a complete mathematical formalism for AU-QCD, including: (1) a modified Yang–Mills action with CP-violating and entropy-dependent terms; (2) a modified Yang–Mills equation with an entropic source, whose solution for a point charge yields the confinement surface at rc=ηrc=η; (3) a field equation for SΘSΘ with a source from the color field, featuring the nonlocal kernel K(x,y)K(x,y) that mediates long-range correlations; (4) the derivation of a linear potential V(R)=σRV(R)=σR with string tension σ≈(440 MeV)2σ≈(440 MeV)2, consistent with QCD phenomenology; and (5) an entropic confinement condition ∫∣∇SΘ∣2d3x