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What If (Tiny) Black Holes Are Everywhere? thumbnail

What If (Tiny) Black Holes Are Everywhere?

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

Classical general relativity treats event horizons as one-way boundaries, making black holes black and preventing shrinkage.

Briefing

The most striking idea in this discussion is that black holes may not be truly eternal: quantum effects could halt their evaporation at a minimum “Planck relic” size, potentially leaving behind tiny, invisible remnants that could be widespread—possibly even accounting for dark matter. In classical general relativity, an event horizon traps everything, so black holes are perfectly black and can only grow. Hawking’s 1974 work brought quantum mechanics into the picture and showed that event horizons disrupt quantum fields, forcing black holes to radiate thermally and slowly lose mass. But the usual Hawking calculation relies on assumptions that break down when the black hole shrinks to quantum-gravity scales, leaving open the question of what happens at the very end of evaporation.

A key argument for remnants comes from how “thermal” radiation behaves when the available quantum modes become limited. For a large black hole, the surrounding quantum fields have many allowed fluctuations, so the radiation looks smooth and continuous—like a red-hot poker glowing across many wavelengths. As the black hole gets smaller, the allowed vibrational modes narrow. Instead of a steady spectrum, the remaining mass could be emitted in discrete steps. At some point, there may be no allowed transition that can remove the last bit of mass, so Hawking radiation would stop and the black hole would become stable. Estimates place this cutoff near the Planck mass, about 20 micrograms, with an event-horizon size around 10^-35 meters (the Planck length), where general relativity and quantum mechanics are expected to clash.

Whether such Planck relics exist in nature depends on formation pathways. Black holes produced by ordinary stellar deaths are far too large: the smallest of them would take roughly 10^66 years to evaporate completely, longer than the universe’s current age. To have remnants today, black holes would need to be much smaller from the start—masses at or below about a billion tons—so they could decay down to relics within cosmic time. The proposed source is primordial black holes, which could form in the extreme densities of the early universe, potentially in large numbers during inflation when density fluctuations might collapse into tiny black holes.

Planck relics are also pitched as a way to address two major theoretical problems tied to Hawking radiation. If black holes evaporate completely with a perfectly thermal spectrum, the radiation would carry maximum entropy and seemingly erase information about what fell in, violating conservation of quantum information. Remnants offer a “data compression” alternative: information might remain trapped in a stable Planck-scale object rather than disappearing. The discussion also notes tension with the Bekenstein bound on information content, with one speculative workaround suggesting that space inside black holes could expand beyond the event horizon—possibly triggered by a new inflationary phase near the singularity.

Finally, the piece turns from physics to scientific culture, clarifying a stance on the “it’s aliens” hypothesis. The caution isn’t about lacking courage to consider fringe ideas; it’s about confirmation bias—how a favored narrative can cause evidence to be interpreted to fit it. The same episode also corrects a prior mistake about squeezed light in gravitational-wave detection: squeezed light was already used in the most recent observing run, and a LIGO scientist, Maggie Tse, reported up to 50% higher detection rates, matching predictions.

Cornell Notes

Classical black holes are black and eternal because nothing can escape the event horizon. Hawking’s quantum calculation predicts black holes radiate thermally and evaporate, but the standard derivation breaks down at the smallest scales where quantum gravity matters. A plausible end state is a stable “Planck relic,” where evaporation stops because the remaining quantum transitions become disallowed; estimates put the relic near the Planck mass (~20 micrograms) with an event horizon near the Planck length (~10^-35 m). Stellar-origin black holes are too slow to reach that stage, so relics today would likely require primordial black holes formed in the early universe. Remnants are also suggested as a partial fix for the information paradox by preventing total evaporation and information loss.

Why do classical black holes have to be “black” and “eternal” in general relativity?

In general relativity, the event horizon is a one-way boundary: anything that falls beneath it cannot emerge. That implies no light can escape, so the black hole is effectively black. It also implies the black hole cannot shrink by emitting mass-energy; it can only grow as it absorbs more matter or energy.

What does Hawking radiation depend on, and why does the usual calculation fail at the end?

Hawking radiation arises from how quantum fields behave when an event horizon forms: the vacuum states get disrupted, and a distant observer sees radiation with a thermal (blackbody-like) energy spectrum. The derivation uses an assumption that spacetime curvature near the horizon isn’t too extreme compared with the smallest quantum scales. When the black hole shrinks to Planck-scale sizes, that assumption breaks, and a full quantum-gravity theory would be needed to reliably describe the final stage.

How does the “red-hot poker” analogy motivate the idea of discrete evaporation and stable remnants?

A large object like a red-hot poker can emit a broad range of wavelengths because it has many microscopic degrees of freedom. Zooming in to a single atom restricts emission to specific energy levels. Likewise, a large black hole’s radiation can look smooth because many quantum modes are available. As the black hole becomes tiny, allowed modes narrow; the radiation could occur in discrete steps, and eventually there may be no allowed transition to shed the last bit of mass—so evaporation stops and a remnant remains.

Why can’t black holes from stellar deaths produce Planck relics within the universe’s lifetime?

The smallest stellar-collapse black holes would take on the order of 10^66 years to evaporate completely via Hawking radiation. That is far longer than the current age of the universe, so none would have reached the Planck-scale remnant stage today.

What formation mechanism is proposed to make Planck relics plausible now?

Planck relics would need black holes much smaller than stellar remnants, with masses around a billion tons or lower, so they could evaporate down to relics within cosmic time. The proposed source is primordial black holes, potentially formed in the early universe during inflation when density fluctuations could collapse into many tiny black holes across a range of masses.

How are Planck relics linked to the information paradox?

If black holes evaporate completely with a perfectly thermal spectrum, the radiation would carry maximum entropy and appear to contain no information about what fell in, implying information loss and violating quantum information conservation. If evaporation halts and leaves a stable Planck-scale remnant, the information might remain trapped in that remnant rather than disappearing, potentially avoiding the paradox. The discussion also notes a related tension with the Bekenstein bound and mentions speculative ideas like interior space expanding beyond the event horizon via a new inflationary phase.

Review Questions

  1. What specific assumption in Hawking’s original calculation becomes unreliable when a black hole approaches Planck-scale size?
  2. Explain the mode-restriction argument for why evaporation might stop before the black hole fully disappears.
  3. Why would primordial black holes be more relevant than stellar black holes for producing Planck relics today?

Key Points

  1. 1

    Classical general relativity treats event horizons as one-way boundaries, making black holes black and preventing shrinkage.

  2. 2

    Hawking radiation emerges from disrupted quantum vacuum states near a forming event horizon and is expected to be thermal for most black-hole sizes.

  3. 3

    The standard Hawking evaporation calculation likely fails at the end because it assumes moderate curvature relative to the smallest quantum scales.

  4. 4

    A stable Planck relic is plausible if the remaining quantum transitions become disallowed, stopping the final step of evaporation near the Planck mass (~20 micrograms).

  5. 5

    Stellar-origin black holes are too large to evaporate to relics within the universe’s age (evaporation times can be ~10^66 years).

  6. 6

    Primordial black holes formed in the early universe—possibly during inflation—are the proposed route to relics existing today.

  7. 7

    Planck relics are also proposed as a way to soften the black hole information paradox by preventing complete evaporation and information loss.

Highlights

Hawking radiation is expected to look thermal for large black holes, but the derivation breaks down when the black hole shrinks to Planck-scale sizes where quantum gravity is required.
If evaporation becomes discrete and the last transition is forbidden, a black hole could stabilize as a Planck relic near the Planck mass (~20 micrograms).
Stellar black holes won’t reach that stage in time; primordial black holes are the main candidate for producing relics now.
Planck relics are framed as potential “information storage” objects that could reduce the impact of the information paradox.
A correction on squeezed light: it was already used in the most recent LIGO observing run, with reported up to 50% higher detection rates, according to Maggie Tse.

Mentioned