Published February 3, 2026
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The Emergence of π as a Physical Phase Attractor in Coherent Dissipative Systems
Description
We show that π emerges as a physical phase attractor in coherent dissipative systems, appearing through band-limited anti-phase locking in GNSS data and extended to Cygnus X-1 via cross-phase analysis.
Abstract (English)
This work shows that π does not appear as a numerical constant in physical data, but emerges as a stable phase attractor in coherent dissipative systems. Using cross-phase analysis, we identify band-limited anti-phase locking (π) in GNSS station pairs and extend the same framework to astrophysical observations of Cygnus X-1. The results indicate that π represents a physical configuration of stability in systems that dissipate energy while maintaining coherence.
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2026-02-03preprint