…Of The Heliospheric Current Sheet

Series III Test 3A

Introduction

Series III extends the testing program beyond planetary geometry and solar-cycle phase behavior into the heliosphere itself. This test (Test 3A) examines direct spacecraft observations of the heliospheric current sheet in order to determine whether the large-scale magnetic structure of the heliosphere behaves as a coherent surface consistent with the geometric framework proposed in the Möbius Solar Constitution.

The heliospheric current sheet (HCS), sometimes referred to as the “ballerina skirt”, is the boundary surface separating regions of opposite magnetic polarity within the solar wind. Because the Sun rotates while the solar wind flows outward, the magnetic field lines form a spiral structure known as the Parker spiral. Embedded within this spiral is the oscillating current sheet surface.

If the heliosphere contains a structured electromagnetic topology as proposed in the Constitution, spacecraft crossings of the current sheet should occur in patterns consistent with a continuous surface geometry rather than as isolated random events.

Spacecraft Observations

Multiple spacecraft missions have measured crossings of the heliospheric current sheet at various heliocentric distances.

Among the most important are:
• Ulysses: high-inclination solar orbit providing measurements above and below the solar equatorial plane

• Voyager 1 and Voyager 2: deep-space probes that traversed the outer heliosphere and approached the heliopause

• Parker Solar Probe: close-in observations of the solar wind and magnetic structure near the Sun

• ACE and WIND missions: near-Earth monitors of solar wind magnetic conditions

Each time a spacecraft crosses the heliospheric current sheet, a reversal in magnetic field polarity is detected. These crossings provide a direct measurement of the sheet’s geometry in space.

Method

1. Spacecraft magnetic field data are examined for polarity reversals that indicate crossings of the heliospheric current sheet.

2. The heliocentric position and time of each crossing are recorded.

3. Crossing points are mapped in heliospheric coordinates to determine whether they lie along a coherent surface geometry.

4. The observed crossings are compared with the predicted geometry of the Parker spiral and with the twisted surface model proposed in the Möbius Solar Constitution.

Interpretation

If spacecraft crossings consistently fall along a continuous surface that can be described geometrically, this supports the interpretation of the heliospheric current sheet as a coherent global structure. Such a result would strengthen the connection between heliospheric geometry and the solar-cycle phase behavior examined in the previous series.

Conversely, if crossings appear randomly distributed without surface coherence, the topological interpretation proposed by the Constitution would require revision.

Significance

This test represents the first stage in which the Constitution is evaluated directly against heliospheric measurements rather than solar-surface or planetary observations.

This transition from conceptual geometry to observational heliospheric structure marks an important step in the testing program.

Next Step

The next test (Test 3B) will examine the three-dimensional structure of the Parker spiral in greater detail, comparing spacecraft measurements with the predicted rotational geometry of the solar magnetic field.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams