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Do Events Inside Black Holes Happen?

PBS Space Time·
6 min read

Based on PBS Space Time's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

Outside observers cannot assign a consistent “when” to events at the event horizon; the horizon marks the last events that can still be included in their self-consistent histories.

Briefing

Black holes aren’t “places you can’t see” so much as collections of events that, for observers who stay outside the event horizon, never get to be assigned a consistent “when.” That reframes the usual picture: the famous black disk in the sky is what remains after external observers delete entire occurrences from their self-consistent histories—an outcome of general relativity’s spacetime geometry, not a simple visibility problem.

The core thought experiment uses gravitational time dilation and the relativity of simultaneity. Far from a black hole, a pony orbiting experiences normal time, while a distant observer sees the pony’s processes run in slow motion. Then a monkey falls radially toward the black hole. From the monkey’s viewpoint, crossing the horizon is uneventful in the sense that the monkey continues forward in time. But from outside, the monkey’s rotation and progress slow, and the monkey appears to freeze at the horizon: not rotating, not advancing, and not aging past that moment. Even if the outside observers wait an infinite time, they never see the monkey’s crossing occur. The monkey’s claim and the outside observers’ records cannot be reconciled into a single consistent assignment of timing for the same events.

In this framework, a black hole is defined as the set of events that physically occur for observers located at those events, while the horizon is the boundary of the last events that can still be assigned a “when” by outside observers. The “event horizon” is therefore a surface in spacetime, not a spherical shell in space. For any particle that enters, there is always a last event on its world line that makes it into an outside observer’s movie of the universe at time infinity; the collection of those last events across all infalling objects forms the horizon.

Despite this event-based definition, black holes behave like objects with mass because the external spacetime geometry can match that of an ordinary spherical mass. Replacing the Sun with a spherical black hole of the same mass leaves the exterior geodesics unchanged. Earth would still orbit in the same way, even though it would eventually freeze in the strong-field region. This motivates the Schwarzschild radius: a spherical black hole of mass M has a radius at which the exterior spacetime is identical to that of a non-black spherical object of the same mass. The Schwarzschild radius scales with mass—about 3 kilometers for a solar-mass black hole, and just under 1 centimeter for Earth’s mass.

The episode then dismantles common misconceptions. Black holes don’t “suck” like vacuum cleaners; inside certain regions, geometry removes stable circular orbits, so freefall becomes inevitable without implying extra pulling beyond gravity’s geometric role. Black holes aren’t black because light can’t escape in a Newtonian sense; instead, external observers see extreme gravitational redshift. Light emitted near the horizon is stretched to undetectably low frequencies, so the region effectively becomes invisible. And “density” depends on definitions: larger black holes can have low average density, while tidal effects near the horizon weaken for higher masses.

Finally, the mass question remains philosophically slippery in idealized solutions: general relativity permits an eternal Schwarzschild black hole with no collapsing matter at all, raising the issue of what “mass” means when there’s no stuff behind the horizon. The episode closes by emphasizing that thinking of black holes as “things” carries interpretational subtleties, even within classical general relativity.

Cornell Notes

The episode reframes black holes as event sets rather than unreachable regions. Outside observers can never assign a consistent “when” to events at the horizon: a falling monkey appears to freeze there forever, even though the monkey experiences crossing. The event horizon is a spacetime boundary defined by the last events that outside observers can include in their histories. Yet black holes still mimic ordinary objects externally because the exterior spacetime geometry matches that of a spherical mass with the same Schwarzschild radius. Misconceptions—vacuum-sucking, “black because light can’t escape,” and infinite density—are corrected using time dilation, redshift, and how “density” and tidal forces scale with mass.

Why do outside observers say the monkey never crosses the horizon, even after infinite time?

Gravitational time dilation and the geometry of spacetime make the monkey’s motion appear to slow without bound as it approaches the event horizon. Rotation and forward progress become increasingly slow from the outside frame, and the monkey’s world-line events at/after the horizon cannot be consistently assigned a “when” in the outside observers’ self-consistent history. The monkey’s own record includes crossing, but the outside record does not.

What exactly is the event horizon in this description?

The event horizon is not a surface you can point to in space; it’s a surface in spacetime. For each infalling particle, there is a “last event” on its world line that still appears in an outside observer’s history at time infinity. Taking the collection of those last events across all infalling objects defines the horizon.

How can a black hole behave like an object with mass if it’s fundamentally a set of events?

In the Schwarzschild solution, the exterior spacetime geometry outside a spherical black hole matches the exterior geometry outside an ordinary spherical mass of the same total mass. That means the geodesics—paths for free-falling and orbiting motion—outside the horizon are unchanged. So, for external dynamics, the black hole acts like an object with the same mass, summarized by the Schwarzschild radius.

Why isn’t the “black holes suck stuff in” metaphor accurate?

The metaphor misleads by implying an extra force pulling objects inward like a vacuum cleaner. Instead, general relativity treats gravity as spacetime geometry. In the region where stable circular geodesics disappear, freefall becomes inevitable because “outward” motion is no longer available as a stable direction for geodesic motion. An observer outside the horizon can still hover or move outward using rockets.

What makes black holes appear black to outside observers?

It’s extreme gravitational redshift. Light emitted near the horizon is shifted to lower and lower frequencies as seen from outside. Just before the outside observers’ view freezes the infaller at the horizon, the emitted light becomes redshifted into invisibility—so the “black” appearance comes from undetectably low-frequency photons, not from a Newtonian escape-velocity picture.

How does “density” vary across black holes, and why does that matter?

Density depends on what definition is used. If density means black hole mass divided by the volume inside the horizon, then more massive black holes can have lower average density; the Milky Way’s ~4 million solar-mass black hole is described as roughly water-like in density. Also, tidal effects near the horizon get smaller for larger black holes, so a stellar-mass black hole can spaghettify you from farther away than a supermassive one.

Review Questions

  1. In the monkey/pony thought experiment, what changes for the monkey versus what changes for outside observers as the horizon is approached?
  2. How does the Schwarzschild radius connect the external behavior of a black hole to the mass of a spherical object?
  3. Which misconception about black holes is corrected by gravitational redshift, and what observational consequence does the episode emphasize?

Key Points

  1. 1

    Outside observers cannot assign a consistent “when” to events at the event horizon; the horizon marks the last events that can still be included in their self-consistent histories.

  2. 2

    A black hole is best understood as a set of events (and the horizon as a spacetime boundary), not as a “region” that merely hides things from view.

  3. 3

    External motion can look identical to ordinary gravity because the exterior spacetime geometry of a Schwarzschild black hole matches that of a spherical mass with the same Schwarzschild radius.

  4. 4

    Black holes don’t function like vacuum cleaners; geometry removes stable outward options inside certain regions, while hovering is still possible for observers who remain outside the horizon.

  5. 5

    Black holes appear black mainly due to gravitational redshift: light emitted near the horizon is stretched to undetectably low frequencies for outside observers.

  6. 6

    “Density” is definition-dependent; average density can be low for supermassive black holes, and tidal forces near the horizon weaken as mass increases.

  7. 7

    Idealized Schwarzschild solutions raise interpretational questions about what “mass” means when no collapsing matter exists behind the horizon.

Highlights

The event horizon is a spacetime surface defined by the last events that outside observers can assign a “when,” not a physical shell in space.
The black disk in the sky can be understood as what remains after external observers delete entire occurrences from their consistent histories.
Black holes are “black” because light emitted near the horizon becomes infinitely redshifted into invisibility for outside observers.
Stable circular orbits disappear inside a cutoff radius, so freefall becomes unavoidable without any extra “sucking” force.

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