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The Information Paradox

A black hole is positioned in the bottom left corner. Two squiggly lines point to the top right, coming out of the black hole’s accretion disk. An arrow points to them with the label “Hawking radiation.” A zoomed callout on the leftmost squiggly line features three question marks. Everything is set against a black background dotted with stars. Text reading “THE INFORMATION PARADOX” is located at the top of the image, aligned to the right, and “Black Holes or Cosmic Erasers?” is located directly underneath.

Written by Isabella Schick
Illustrated by Aeysha Munawwarah

Black holes are the universe’s ultimate enigma. They almost seem unknowable, even hosting one of the biggest puzzles in modern physics: the Information Paradox. Stephen Hawking threw this brain-bender into the spotlight back in the 1970s, asking the bold question: When something falls into a black hole, does all the information about it just disappear into thin-air? ¹ Or, is the universe sneakily archiving it somewhere? ¹

In the scope of classical physics, black holes are pretty simple: they are described by their mass, spin, and charge. Famous physicist John Wheeler put it succinctly when he said, “black holes have no hair.” ² Basically, if you toss a book, or even our entire planet into a black hole, all the juicy details—the structure, the atoms, everything—would seem to get wiped from existence. ¹ However, quantum mechanics insists that information can’t just vanish into the cosmic void. ³ It has to stick around somewhere, even if it’s all jumbled up beyond recognition. ³ This, in a nutshell, is the Information Paradox.

The paradox came into the spotlight with Hawking’s revelation of black hole radiation—aptly named Hawking radiation. ¹ Like a dripping faucet, over time, black holes would emit a tiny trickle of thermal energy, slowly evaporating. Here’s the kicker: this radiation doesn’t carry any of the black hole’s secrets. ¹ If it did carry the missing information, we could cope with the Information Paradox. Instead, it’s like the black hole goes on a cosmic shredding spree, gobbling up the universe’s information as it fades away. ⁴ If Hawking radiation is true, it would derail quantum mechanics by defying one of its golden rules: unitarity, which says information about a system should always be preserved. ³

Physicists have been playing detective for decades, trying to crack the case of the missing information in black holes. ⁴ Think of it like a cosmic whodunit—where did all that evidence of the stuff that fell into the black hole go? Is it locked away forever, or is the universe sneakily holding onto it in ways we just don’t understand yet? ⁴

One idea that has been proposed is that black holes have a secret backup system on their surfaces. This theory, called the holographic principle, suggests that maybe the information isn’t gone, but rather it’s stored on the black hole’s ‘hard drive’, located at its boundary called the event horizon. ¹ So instead of the info being wiped, it’s more like it’s hidden in plain sight, but completely scrambled. ¹

Remember when John Wheeler stated that “black holes have no hair?” ² An alternative solution to the Information Paradox is the “quantum hair” hypothesis. ⁵ Yes, you read that right—quantum hair. Black holes could be carrying faint imprints of everything that they have ever consumed. ⁵ Think of your uncle whose beard is riddled with crumbs, the traces of his past meals. But wait, there’s a catch. It’s nearly impossible to detect, but if we could, we’d get a comprehensive snapshot of the black hole’s history. ⁵

More recently, physicists have been digging into something called the Page curve, which essentially suggests that the info was never destroyed by the black hole; it’s just taking its sweet time to escape from the event horizon. ⁴ Almost like the black hole can’t seem to keep all its secrets to itself any more, so it starts slowly letting information seep back into the universe.

A black hole is positioned at the center of the image, tilted slightly to the right. Three portions of it are individually magnified by three magnifying glasses, held by three hands. The top-rightmost portion features letters spelling out “INFORMATION” arranged haphazardly as they leave the black hole and into space. Along the curve of this magnifying glass, there is text that reads “the page curve.” An arrow points to it, labelled by text reading “information slowly seeping back into the universe?” The bottom-rightmost portion features slightly transparent letters spelling out “INFORMATION” arranged haphazardly and stuck to the black hole’s accretion disk. Along the curve of this magnifying glass, there is text that reads “quantum hair.” An arrow points to it, labelled by text reading “faint traces of everything ever consumed?” The leftmost portion features a simplified hard drive near the event horizon. Along the curve of this magnifying glass, there is text that reads “the holographic principle.” An arrow points to it, labelled by text reading “a hard drive at the event horizon?” Everything is set against a black background dotted with stars.

While many questions about the Information Paradox remain unanswered, these hypotheses have pushed the boundaries of physics as we know it, bringing us closer to understanding one of the most perplexing mysteries of the cosmos. ³ As physicists continue their conquest for a solution, the Information Paradox may soon reveal more secrets, guiding us into a new era of cosmic understanding.

Sources:

  1. Hawking SW. (2015). The Information Paradox for Black Holes; 2015 Aug 28, Stockholm (Sweden). Cambridge: University of Cambridge; 2015. p. 1-3. https://arxiv.org/pdf/1509.01147
  2. Ashtekar A. The Simplicity of Black Holes. APS. 2015 [accessed 2024 Oct 24]; Vol.8(34): p. 1-5. doi: http://dx.doi.org/10.1103/PhysRevLett.114.151102
  3. Crane L. Solving Stephen Hawking’s black hole paradox has raised new mysteries. New Scientist. 2024 Oct 21. [ accessed 2024 Oct 24]. https://www.newscientist.com/article/mg26435140-700-solving-stephen-hawkings-black-hole-paradox-has-raised-new-mysteries/ 
  4. Musser G. The Most Famous Paradox in Physics Nears Its End. Quanta Magazine. 2020 Oct 29. [ updated 2023; accessed 2024 Oct 24]. https://www.quantamagazine.org/the-most-famous-paradox
  5. Devlin H. ‘Quantum Hair’ could resolve Hawking’s black hole paradox, says scientists. The Guardian. 2022 Mar 17. [accessed 2024 Oct 24]. https://www.theguardian.com/science/2022/mar/17/quantum-hair