Series V

Latitudinal Drift
of Sunspots

Among the most recognizable visual patterns in solar physics is the butterfly diagram, a chart that plots the latitude of sunspot activity over time. When the positions of sunspots are recorded across successive solar rotations, the pattern that emerges resembles the wings of a butterfly. Sunspots
initially appear at mid–solar latitudes, typically around thirty to thirty‑five degrees north and south of the equator. As the solar cycle progresses, these regions of activity gradually migrate toward the equator.

This equatorward drift is systematic and repeatable. The pattern begins again with the next solar cycle, forming a sequence of wings that span decades of solar observation. The diagram therefore provides a visual record of the dynamic behavior of the Sun’s magnetic field as it evolves through its periodic cycle.

Within the geometric framework explored in this document, the butterfly diagram can be interpreted as a migration across the width of the Möbius topology previously introduced. The latitudinal movement of sunspots corresponds to a progression from the outer band of the surface toward its
central region as the cycle advances.

When this drift is examined quantitatively, the northern and southern hemispheres do not move in perfect synchrony. One hemisphere frequently leads the other by a measurable interval. This asymmetry produces the leading and lagging edges of the solar magnetic cycle that were discussed
earlier in connection with polarity reversal timing.

Such behavior is consistent with traversal across a twisted surface in which the two edges of the topology do not evolve identically. The hemispheric drift can therefore be visualized as motion along two parallel paths on the surface of the topology, gradually converging toward the central region as the cycle approaches its peak phase.

The butterfly diagram thus provides a second observational phenomenon that appears compatible with the geometric framework suggested by the planetary orientation mapping and the Hale cycle recursion. In this interpretation the migration of sunspots represents the latitudinal expression of the same underlying orientation system.

As the cycle progresses toward its maximum, the sunspot bands approach the equatorial region where the magnetic field is undergoing rapid reconfiguration. Following polarity reversal, a new cycle begins and the pattern restarts at higher latitudes with opposite magnetic orientation.

The persistence of this pattern across more than a century of observations suggests that the solar magnetic system operates within a structured framework rather than through purely random emergence of magnetic flux. Whether that framework corresponds to a deeper electromagnetic
topology remains a subject for further investigation.

The next section of this document turns outward from the solar surface to the heliosphere itself, examining the heliospheric current sheet, often described visually as a “ballerina skirt”, and its possible relationship to the geometric framework explored here.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams