date: 2025-08-27 —
From Black Holes to Bifurcations
This plot shows how a black hole's maximum information content (in bits) grows with its mass. Because information scales with the area of the event horizon, it is proportional to the square of the mass.
This diagram uses a more complex "Verhulst-style" function to reveal intricate structures beyond the r=4 limit of the standard logistic map. Zoom in to explore the details.
Compares the asymptotic growth of the Lorentz factor in special relativity to the steady quadratic growth of a true parabola.
Shows how the population (x) evolves based on the growth rate (r) for the standard logistic map. The path seeks a stable state or becomes chaotic.
Shows the subtle changes in the logistic map's shape at key bifurcation points and inside the period-3 stable window.