The Emergence of π as a Physical Phase Attractor in Coherent Dissipative Systems
The Emergence of π as a Physical Phase Attractor in Coherent Dissipative Systems
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.
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.
Phase attractor Pi (π) Coherent dissipation Cross-phase coherence Anti-phase locking GNSS Cygnus X-1 Nonlinear dynamics Entropy and coherence, Phase attractor Pi (π) Coherent dissipation Cross-phase coherence Anti-phase locking GNSS Cygnus X-1 Nonlinear dynamics Entropy and coherence
Phase attractor Pi (π) Coherent dissipation Cross-phase coherence Anti-phase locking GNSS Cygnus X-1 Nonlinear dynamics Entropy and coherence, Phase attractor Pi (π) Coherent dissipation Cross-phase coherence Anti-phase locking GNSS Cygnus X-1 Nonlinear dynamics Entropy and coherence
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!