Phase Proxy:Mean Longitude at J2000 Series I Test 1B Introduction Test 1B extends Test 1A by introducing a minimal twist model. The intent is to determine whether a single smooth twist applied to the planetary spin-axis vectors produces a tighter geometric coherence than a simple planar fit. Data Sources Planetary north-pole directions (RA/Dec, J2000) are…

Phase + Width Series I Test 1C Introduction Test 1C adds a minimal “width” coordinate to the twist model. The aim is to test whether allowing twist to depend on both phase and width improves geometric coherence beyond Test 1B. Definitions Phase coordinate: s = L₀ / 360 (mean longitude at J2000). Width coordinate: w…

Phase + Width Envelope Series I Test 1D Introduction This test (Test 1D) replaces the single width-coupling term of the previous test with a smooth width-envelope α(s). This implements the intuition that the Möbius strip’s effective width can expand or compress as a function of recursion phase. Definitions Phase coordinate: s = L₀ / 360…

Horizons Phase Upgrade And Closure Introduction This test (Test 1E) serves as the final verification step for Series I of the testing program: the planetary geometry tests. The purpose of this step is to confirm that the geometric coherence observed in Tests 1A-1D persists when the phase coordinate used in the twist model is replaced…

Sunspot Amplitude, Butterfly Migration And Polarity Reversal Series II Test 2A Introduction Series II shifts the investigation from spatial planetary geometry to temporal solar-cycle behavior. This test (Test 2A) examines whether several independent solar phenomena align within a consistent phase window of the solar activity cycle. Specifically, this test compares the phase relationships between:• Sunspot…

HeliosphericCurrent Sheet Tilt Synchronization Series II Test 2B Introduction This test (Test 2B) expands the solar-cycle phase analysis by incorporating the tilt of the heliospheric current sheet (HCS), commonly referred to as the “ballerina skirt”. The objective is to determine whether the large-scale geometry of the heliospheric current sheet participates in the same solar-cycle phase…

…Of SolarPhase Alignment Series II Test 2C Introduction This test (Test 2C) completes this series of the testing program by examining whether the phase relationships identified in Tests 2A and 2B persist across multiple solar cycles. The objective is to determine whether the clustering of solar signals within a specific phase region represents a recurring…

…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…

…Compared With Spacecraft Measurements Series III Test 3B Introduction This test (Test 3B) examines the three–dimensional geometry of the Parker spiral and compares the predicted magnetic field orientation with spacecraft observations obtained throughout the heliosphere. This test extends the investigation of Series III by examining whether the large-scale spiral structure of the solar magnetic field…

…And Regime Change At The Heliopause Series III Test 3C Introduction This test (Test 3C) examines the behavior of the heliospheric magnetic structure near the outer boundary of the solar system, the heliopause. This test evaluates whether the structural relationships identified in the preceding tests persist as the solar wind interacts with the interstellar medium.…