Geometric Polarization of the Vacuum

The paper introduces the concept of the Expanded Vacuum Configuration (RKP) as the fundamental state of spacetime vacuum, emerging from the self-organization of a network of elementary geometry quanta – p-gluons. Each p-gluon possesses a discrete internal degree of freedom dK, interpreted as a local topological orientation. The global coherence of these orientations arises from spontaneous symmetry breaking in the early Universe. The model allows for the existence of two equivalent vacuum sectors: RKP(+) and RKP(−). The choice between them occurs spontaneously (metaphorically described as a "coin toss" at the moment of the Big Bang). In the observed Universe, the RKP(+) sector is realized, defining the global world axis O – a geometric reference condition relative to which local excitations assume minimal energy configurations. The global polarization of the vacuum is interpreted in the model as the geometric source of the observed chirality of weak interactions. The concept of the Compact Vacuum Configuration (ZKP) is introduced, understood as a local domain of compression and ordering of the p-gluon network, from which observable particles emerge. The dynamics of ZKP are described through four characteristic energy thresholds: - **EZ(1)** – the threshold for ZKP domain stabilization (formation of a stable bubble-like structure),- **EZ(2)** – the threshold for activation of oscillatory geometric reconfiguration, constituting the basis of the wave nature of particles,- **EZ(3)** – the threshold for loss of stability of the delocalized state, marking the transition between the quantum and classical regimes,- **EZ(4)** – the threshold for topological reconstruction enabling full localization and effective interactions with the environment. The model introduces a hierarchy of emergent geometric structures including Möbius couplings (G), a discrete spinor code Sp transmitted to the observational boundary K, and a Topological Switch (PT) enabling reconfiguration between G0 and G8 states. The energetic degeneracy of these configurations is interpreted in the model as the source of the two-valued spin nature of fermions. The permanent blocking of PT in neutrinos – resulting from insufficient domain compression – leads to their observed left-handedness. The Axiom of Topological Minimalism is formulated, according to which, under conditions of energetic degeneracy, the configuration with lower geometric complexity is realized. This principle constitutes a selection mechanism for stable particle states without introducing additional dynamic fields. The presented model is topological-heuristic in nature. It does not constitute a complete theory of elementary particle dynamics, but rather serves as a geometric "sonar" indicating possible directions for exploring deeper structures of vacuum and matter, and generating qualitative predictions and research questions. This work is part of an ongoing series of studies referred to as the pencil case ontology.