The Core Question: about rotation curves and emergent properties in galaxies We derive the expected rotation curve of galaxies from Keplerian mechanics, as measured in our solar system: one dominant central mass (the Sun: 99.86%) and eight relatively small objects (planets: 0.14%). A galaxy, however, is fundamentally different: billions of equivalent masses in a distributed network, without clear hierarchy. With such an extreme scale change—from a 1+8 system to a system with billions×billions of interactions—I wonder: Is it possible that emergent properties arise that cannot be predicted by simple extrapolation of Keplerian mechanics? My Reasoning: With a gradual velocity gradient (from v₁ at the center to v₂ at the edge) and billions of stars, the velocity difference between neighboring stars is negligibly small. This suggests the system behaves as a coherent, self-correcting "fluid" with properties including: 1. Cohesion: Stars maintain a coherent mass through mutual gravity 2. Self-correction: The 360° nature of gravity automatically compensates local perturbations through surrounding stars 3. Statistical stability: Billions of stars provide inherent network stability 4. Collective behavior: The system may exhibit properties unpredictable from individual components So the question is: - Are galaxies modeled in N-body simulations as emergent, self-correcting systems with collective behavior? - Or are they calculated as collections of individual Keplerian trajectories? - Could non-linear effects or emergent phenomena—like those in fluid dynamics (turbulence, resonances)—contribute to the flat rotation curve at galactic scales?
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