Transition Geometry and Symmetry Breaking in Centrifugal Cosmology

Abstract This document formalizes the transition geometry introduced in earlier versions of the centrifugal cosmology framework. The origin of cosmic evolution is defined as a zero-reference state without orientation, direction, or hierarchy. Absolute zero is treated as a neutral calibration point rather than a physical boundary. 1. Zero-Reference State The origin of the system is defined as a state of null orientation. No direction, hierarchy, or preferred axis exists at this point. Absolute zero is not interpreted as a terminal boundary, but as a neutral reference condition against which all subsequent structure is measured. The conceptual expression 0⁰ = 1 is introduced to represent value without orientation at the reference state. 2. Transition Regime Upon departure from the zero-reference state, the system enters a transition regime characterized by the loss of directional preference while retaining internal energetic differentiation. Perfect symmetry at this stage is dynamically unstable. The system cannot remain indefinitely in a fully symmetric configuration once deviation from the reference state occurs. 3. Linear Transition Geometry A linear geometric representation is adopted in order to avoid premature assumptions of curvature, rotation, or expansion. Within this representation, the transition regime mediates the emergence of two complementary branches (±), representing the minimal symmetry-preserving bifurcation compatible with global constraints. This bifurcation is not imposed externally but arises as a natural consequence of instability within perfect symmetry. 4. Symmetry Breaking Symmetry breaking is therefore understood as a process occurring within the transition regime, not at the origin itself. The origin remains neutral and non-directional. Direction, hierarchy, and structure emerge only after the system leaves the zero-reference state and enters the transition domain. 5. Outlook This version provides a geometric and conceptual foundation for subsequent refinements involving centrifugal organization, stability windows, and hierarchical cosmic structure formation.