Inflationary φ-Field Expansion

This paper presents a geometric reformulation of cosmic inflation based on the dynamics of closed surface (φ-field) expansion. Unlike scalar field inflaton models, the φ-field is defined as a regenerating closed surface that expands spherically at light speed and continuously reconstructs itself at a fixed frequency. When the regeneration rate exceeds curvature dissipation, a runaway phase of exponential surface propagation occurs, giving rise to inflation without requiring external potentials or a preexisting metric space. The overlapping of φ-surfaces generates isotropy, homogeneity, and causal uniformity across the observable universe. This framework offers a topologically grounded, causally complete explanation for the inflationary epoch, singularity avoidance, and large-scale symmetry formation. Key words : cosmic inflation, closed surface dynamics, φ-field, topology, spacetime geometry, curvature, causal connectivity, symmetry breaking, early universe, surface propagation