Your Phone Really Does Get Heavier When You It’s Full (But You Can’t Feel It)

Digital files have weight, but your hand will never notice.

by · ZME Science
Credit: Pexels.

A phone is a strange kind of archive. It can hold years of photographs, thousands of messages, old songs, and recordings of voices you may never hear again. But it seems to do all this without getting bigger or heavier.

According to physics, though, this can’t be true. In flash memory, every bit must be written into matter, through tiny shifts in the energy states of electronic components. This change in energy also has to bring a change in mass, which suggests that a phone packed in data should be heavier than an empty one.

Actually, that’s exactly what’s happening, but the difference is so slight that no regular scale can notice it.

How Much Does a File Weigh?

It almost sounds like a trick riddle, but think of it this way. Let’s say you download thousands of books on your phone (or e-reader), does it become heavier? Does that extra information come with extra mass?

“In principle, the answer is yes,” said John D. Kubiatowicz, a professor of computer science at the University of California, Berkeley, in The New York Times. “However, the amount is very small, on the order of an atogram.”

Kubiatowicz estimated that filling a four-gigabyte Kindle would add roughly an attogram, which is 10-18 grams, an amount that is “effectively unmeasurable.” That’s a billion billion times less than a gram. It’s even smaller than some tiny viruses.

But it’s not zero. So technically, smartphones do get heavier when you fill them up with information. So do computers, e-readers, or any other similar device.

Where the Weight Comes From

We can thank Einstein for helping us figure this out. Credit: Wikimedia Commons

We often talk about digital information as if it is weightless. Photos live “in the cloud.” But inside a phone, nothing is ethereal. Every saved photo is a physical arrangement, a pattern written into memory.

×

Get smarter every day...

Stay ahead with ZME Science and subscribe.

Daily Newsletter
The science you need to know, every weekday.

Weekly Newsletter
A week in science, all in one place. Sends every Sunday.
No spam, ever. Unsubscribe anytime. Review our Privacy Policy.

Thank you! One more thing...

Please check your inbox and confirm your subscription.

Most phones use flash memory. Flash memory stores information as bits, the 1s and 0s that make up digital data. Those bits correspond to physical arrangements inside tiny electronic components. In simplified terms, flash memory cells can distinguish between states by trapping electrons or leaving them untrapped. A photo, app, or book is made from millions or billions of these bit states.

The important detail is that trapped and untrapped electrons don’t have exactly the same energy. Trapped electrons sit in a higher-energy state. That small energy difference is where the extra mass comes from.

Einstein’s equation, E = mc², links energy and mass. Add energy to a system, and you add mass with it. In everyday life, the effect is invisible because the speed of light squared is enormous. Even a meaningful change in stored energy translates into a vanishingly small change in mass.

That doesn’t mean you have more electrons into your phone. The total number of electrons in the memory doesn’t necessarily change. What changes is their energy arrangement, and that’s enough to make a subtle difference.

How Much Data Could You Feel By Hand?

A phone full of photos may technically be heavier, but your hand has no chance of detecting it.

Kubiatowicz noted that the effect is roughly one hundred-millionth as large as the mass fluctuation caused by charging and discharging the battery. In other words, battery state matters vastly more than stored files, and even that change is not something you casually feel.

You could argue that modern phones hold far more than four gigabytes. But scaling the estimate up still gives only about 10-16 grams, or roughly 0.1 femtograms.

That is still nowhere near the realm of human perception.

People generally need a change of several percent before they reliably notice that one object feels heavier than another, depending on the object and the testing conditions. For a 170-gram phone, that would mean adding something like 8 or 9 grams — about the weight of a few coins.

Stored data comes nowhere close.

RelatedPosts

First ever optical chip to permanently store data developed
Japan is lead candidate for hosting the next high energy particle smasher – the International Linear Collider
Heat-proof memory device can survive Venus-like environment
Scientists Built a DNA Cassette Tape that Packs 360 Petabytes into a Retro Plastic Shell

You would need on the order of tens of millions of zettabytes of data on your phone before the added mass might become noticeable by hand. A zettabyte is one trillion gigabytes. So this is not “every photo ever taken” territory. It is “the phone has stopped being a phone and physics has started laughing” territory. The entire internet is around 150-250 zettabytes, so you’d need to download the entire internet millions of times before you could feel it.

Every photo, voice note, and unread book leaves a trace in matter. It’s not enough for you to feel, but it’s just enough for physics to notice.