Baryon Number as Orientational Information of the K Boundary: Or How a Cap Divided One into Three Without Losing Its Direction

This work presents a heuristic geometric interpretation of baryon number within the RKP–ZKP ontology. The central hypothesis is that the sign of baryon number may be understood as orientational information encoded in geometry. At the level of a complete Compact Vacuum Configuration (ZKP), the global orientation of the K Boundary is associated with the total baryon number: $$K = L \;\leftrightarrow\; B = +1, \qquad K = R \;\leftrightarrow\; B = -1.$$ The analysis then asks how this picture can be extended to quarks, which carry fractional baryon number. In the proposed Sonar Image, a quark is not treated as an independent ZKP with its own K Boundary, but as a lower-level subdeformation inside a hadron. Its Rolling Towards the Center (RDS) is assumed to be complete but orientationally mixed. The dominance of one local orientation over the opposite one is associated with the sign of the quark baryon number. This leads to a two-level picture: local mixed orientation at the quark level and global K Boundary orientation at the hadron level. The value $|B_q| = 1/3$ is not derived from the local rolling geometry itself. Instead, it is interpreted in connection with baryon-number additivity, the three-sector organization of an ordinary baryon, and the Axiom of Record Economy (AOZ), which provides an ontological framework in which local properties may depend on their role within a globally coherent configuration. The proton, antiproton, and meson are used as simple tests of the picture. The work is explicitly heuristic and does not attempt to replace quantum chromodynamics or provide a formal dynamical theory of hadrons. Its purpose is to generate a logically coherent geometric image that may suggest further questions about the relation between orientation, topology, and conserved quantum numbers. Follow my work and related discussions on Facebook: [Facebook]