Spiral Pattern Coherence in Planetary and Stellar Evolution: A Field-Theoretical Model of Rotational Symmetry and Structure Formation**

Spiral and helical patterns are ubiquitous in astrophysical systems, appearing in accretion disks, planetary atmospheres, stellar convection zones, magnetic flux ropes, and galactic structures.
Despite differences in scale and physical composition, these systems exhibit remarkably similar pattern coherence behaviors, guided by rotational dynamics, field coupling, and symmetry constraints.

This paper introduces a Spiral Coherence Framework (SCF) describing how spiral patterns emerge, stabilize, and evolve in planetary and stellar environments.
SCF extends the Plasma Pattern Field (PPF) model (DOI 14) by formalizing spiral structures as attractor states governed by electromagnetic, radiative, mechanical, and gravitational symmetry.

We define the Spiral Coherence Operator:

S_spiral_cosmic = S_rot × S_field × S_flux × S_temp

where:

• S_rot = rotational symmetry coherence

• S_field = electromagnetic and gravitational field alignment

• S_flux = coherent mass/energy transport

• S_temp = thermodynamic oscillatory synchronization

Stable spiral patterns correspond to S_spiral_cosmic ≥ threshold, while turbulence, fragmentation, or chaotic flows correspond to reduced coherence.

This framework unifies spiral formation across planetary weather systems, stellar interiors, and protoplanetary disks, providing a cross-scale theory of rotational self-organization.