Explore a nonrotating black hole with a horizon sphere, radial beacons and two clock faces. A supported local clock ticks more slowly relative to a distant clock. Emitted light is received at a lower frequency far away. A separate spatial-slice cutaway explains why the drawing is not a literal funnel in space.
• A real-time 3D scene with 5 inspectable parts (Event horizon, Supported local clock, Distant reference clock, Redshift comparison beacons, Spatial-slice embedding), with home view, focus-selected-part, auto-rotate, expand, instrument-cover and hide-labels scene tools, plus a model response curve beneath the scene. • Experiment controls: Black-hole mass (3-100 solar masses); Supported clock radius (1.05-8 Schwarzschild radii); Local emitted frequency (400-800 THz); Distant seconds per animation second (0.25-2 s/s); Show spatial embedding mesh; pause/resume, 0.1 s and 1 s single-step buttons, four playback speeds and a restart button. • Live readouts: Horizon radius; Clock radius; Local / distant clock rate; Local elapsed time; Distant elapsed time; Frequency at infinity. • A Geometry & measurements tab with a parameter-comparison chart, a live-measurements chart, the model equations and snapshot readouts. • An Experiments tab with 3 guided presets (Farther clock; Near-horizon clock; Change mass at fixed r/rs) and a Model verification bench that runs independent fresh models, plus a timestamped event log and a copyable trial report. • A Learn & assess tab with guided lessons, a knowledge-check quiz with reset and a written model-scope statement linking to a technical reference.
rs=2GM/c², with rs≈2.95325 km per solar mass α=√(1−rs/r) for a stationary clock outside a Schwarzschild black hole dτ=α dt; f∞=α flocal; z=1/α−1 Embedding height zembed=2√[rs(r−rs)] (arbitrary vertical origin)
Nonrotating, uncharged Schwarzschild exterior only; supported clocks require acceleration. No interior physics, accretion hydrodynamics, black-hole shadow ray tracing, Hawking evaporation or infalling-clock solution. Signal travel particles and clock positions are illustrative; the clock faces are comparison insets, not a distance scale. The embedding height is compressed for display. Radius is restricted above1.05rs; the horizon is not a place to hold a stationary clock.
No. The formula is for a clock held at fixed radius outside the horizon.
No. It visualizes the geometry of one spatial slice.
Nonrotating, uncharged Schwarzschild exterior only; supported clocks require acceleration. No interior physics, accretion hydrodynamics, black-hole shadow ray tracing, Hawking evaporation or infalling-clock solution. Signal travel particles and clock positions are illustrative; the clock faces are comparison insets, not a distance scale. The embedding height is compressed for display. Radius is restricted above1.05rs; the horizon is not a place to hold a stationary clock.