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How Much Does The Internet Weigh?

Vsauce·
5 min read

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

TL;DR

Information storage in devices ultimately depends on electrons, so stored bits correspond to a physical mass change, even if extremely small.

Briefing

The Internet’s data—emails, images, videos, and other stored information—has a physical mass so tiny it’s effectively hard to imagine: roughly 0.2 millionths of an ounce for everything stored across the web, based on electron-level accounting. The punchline matters because it reframes “information” from an abstract concept into something with measurable physical consequences, even if those consequences are minuscule compared with the energy required to move data around.

The argument starts small and moves up the scale. A Kindle reading a book in binary would gain an almost immeasurable amount of mass because information ultimately depends on charged electrons in flash memory’s floating-gate transistors. A Berkeley professor estimated that when a Kindle is completely full of books, its weight increases by about 10^-18 grams. Even charging the Kindle’s battery adds more mass—about 100 million times the mass increase from filling it with books—but that figure still falls below what current scales can reliably measure (around 10^-9 grams).

To scale from a single device to the whole network, Russell Seitz’s approach treats the Internet as a vast collection of servers. With roughly 75 to 100 million servers running, the electricity involved is estimated at about 40 billion Watts. Since an amp corresponds to about 10^18 electrons per second, and electrons have mass, the entire Internet’s server activity can be translated into a mass of about 50 grams of electrons in motion. That number is still incomplete because it accounts only for servers, not the chips inside personal computers.

The more striking calculation targets the information itself rather than the electricity used to serve it. Storing content—videos, pictures, emails—requires electrons to represent bits. One email is estimated to take about 8 billion electrons, which corresponds to an extremely small mass: about 2×10^-4 quadrillionths of an ounce. The remaining challenge is the size of the Internet’s stored data. Eric Schmidt, then-CEO of Google, estimated the Internet contains about 5 million terabytes of information, with Google indexing only 0.004% of it. Using that total storage estimate and the electron-to-byte mass relationship, the combined mass of all stored information comes out to about 0.2 millionths of an ounce.

Put differently, the stored data across the web is likened to a mass about the size of the smallest grain of sand—an analogy meant to make the number intuitive. The broader takeaway is that while the Internet’s energy footprint is enormous, the mass of the information itself is astonishingly small because bits are ultimately just arrangements of electrons.

Cornell Notes

The mass of Internet information can be estimated by tracking how bits are physically stored as charged electrons. A Kindle’s stored books add only about 10^-18 grams, far below the ~10^-9 gram resolution of typical scales. Scaling up, Seitz estimates that server electricity corresponds to roughly 50 grams of electrons in motion, though that excludes personal-computer chips. For the information stored (not delivered), Eric Schmidt’s estimate of about 5 million terabytes of Internet data, combined with electron-per-byte mass, yields a total mass around 0.2 millionths of an ounce—comparable to an extremely tiny grain of sand. The result highlights the difference between the Internet’s energy costs and the negligible mass of the data itself.

Why does storing data imply a change in mass at all?

Digital storage relies on electrons. In flash memory and similar systems, information is represented by charged floating-gate transistors. Because electrons have mass, changing the number and arrangement of electrons in memory changes the device’s total mass—though the change is so small it’s typically beyond direct measurement.

How small is the mass increase from storing books on a Kindle?

A Berkeley professor estimated that when a Kindle is completely full of books, its weight increases by about 10^-18 grams. That’s mind-blowingly tiny compared with the scale resolution mentioned in the transcript (about 10^-9 grams). Charging the Kindle’s battery adds more mass—about 100 million times more than filling it with books—but still remains effectively unmeasurable with ordinary scales.

What does Russell Seitz’s “50 grams” calculation refer to?

Seitz’s estimate translates server electricity into the mass of electrons in motion. With roughly 75 to 100 million servers operating, the Internet’s server power is estimated at about 40 billion Watts. Using the relationship that an amp corresponds to about 10^18 electrons per second and the electron’s mass, the server activity corresponds to about 50 grams of electrons moving at any moment. The transcript notes this includes servers but not the chips in personal computers.

How is the mass of stored Internet information estimated instead of the energy to run it?

The calculation focuses on the electrons required to store content. One email is estimated to take about 8 billion electrons, translating to about 2×10^-4 quadrillionths of an ounce per email. To scale up, Eric Schmidt’s estimate of total Internet storage—about 5 million terabytes—provides the amount of data to account for. Converting that stored data into electrons (via the electron-per-byte relationship) yields a total information mass around 0.2 millionths of an ounce.

What role does Eric Schmidt’s estimate play in the final “0.2 millionths of an ounce” number?

Schmidt’s estimate supplies the total size of the Internet’s stored information: about 5 million terabytes. The transcript also mentions Google indexed only 0.004% of that. Using the total storage figure (not just what Google indexed) allows the electron-mass conversion to scale from “per email” to “everything stored,” producing the final mass estimate.

Review Questions

  1. What physical mechanism links binary data to mass, and why is the effect so hard to measure directly?
  2. Compare the two different “mass” ideas: electrons in motion (server electricity) versus electrons stored in information. What does each estimate count?
  3. How do the assumptions about total Internet storage (e.g., Schmidt’s 5 million terabytes) affect the final mass estimate for stored data?

Key Points

  1. 1

    Information storage in devices ultimately depends on electrons, so stored bits correspond to a physical mass change, even if extremely small.

  2. 2

    A fully loaded Kindle is estimated to gain about 10^-18 grams from storing books, far below typical scale sensitivity (~10^-9 grams).

  3. 3

    Server activity can be translated into a mass of electrons in motion using power estimates and the electron count per second implied by current (amps).

  4. 4

    Russell Seitz’s server-based calculation yields about 50 grams of electrons in motion, but it excludes personal-computer chips.

  5. 5

    Estimating the mass of stored Internet information requires both an electron-per-byte (or electron-per-email) conversion and a total-data-size estimate.

  6. 6

    Eric Schmidt’s estimate of about 5 million terabytes of Internet information enables scaling from “per email” to “everything stored,” producing about 0.2 millionths of an ounce.

  7. 7

    The Internet’s energy footprint is enormous, but the mass of the stored data itself is astonishingly tiny.

Highlights

A Kindle filled with books is estimated to weigh about 10^-18 grams more—an effect far smaller than what common scales can detect.
Server electricity can be converted into a mass of electrons in motion, leading to an estimate of roughly 50 grams for the Internet’s server electrons.
Stored Internet information—videos, images, emails—comes out to about 0.2 millionths of an ounce, likened to the mass of the smallest grain of sand.
The calculation distinguishes between the energy used to deliver data and the physical mass of the data stored.

Topics

  • Internet Mass
  • Electron Storage
  • Flash Memory
  • Server Electricity
  • Data Footprint

Mentioned