first-principles geodesics · classical & quantum-inspired metrics · WebGL2 · zero dependencies
[EXACT] Everything downstream of a chosen metric f(r): the geodesic equations r̈ = −f′/2·[timelike] + L²(2f−rf′)/(2r³), the signed-velocity camera tetrad (identity verified to 9×10⁻¹⁶ including trapped regions), shifts g = √(f−rf′/2)/(E−ΩL_z), tides (−f″/2, −f′/2r), and the Kretschmann scalar K = f″² + 4(f′/r)² + 4((1−f)/r²)². The classical mode is exact Schwarzschild.
[MODEL] The quantum modes replace f with the Hayward regular metric f = 1 − 2Mr²/(r³+2Ml²): an LQG-inspired phenomenological metric (holonomy-style curvature cap, de Sitter core, K ≤ 24/l⁴) — not a solution of loop quantum gravity. The bounce is emergent (infall reverses where f = Ẽ²), but reading the second asymptotic region as our future (black→white-hole transition) is a conjecture. Real fuzzballs are horizonless microstate geometries of 10-D string theory; here a horizonless capped metric stands in for geodesics, and the string drag on the camera is explicitly ad hoc.
[DECOR] The string-filament glow (procedural noise — though each sample carries the exact static-emitter redshift √f/E), disk turbulence, star positions and colors, and the universe-B sky tint.
Nothing here is a solution of full quantum gravity — none exists to solve. The quantum-scale slider applies exact mathematics to a speculative metric, and the labels say which is which.