# Does light have a weight?

**URL:** <https://boards.straightdope.com/t/does-light-have-a-weight/688021>\
**Category:** Factual Questions\
**Created:** [May 9, 2014, 2:30am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021 "2014-05-09T02:30:28Z")\
**Posts on this page:** 11\
**Page:** 1

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**Author:** ![Artemis\_Tardis](https://avatars.discourse-cdn.com/v4/letter/a/4bbf92/32.png) [@Artemis\_Tardis](https://boards.straightdope.com/u/Artemis_Tardis)\
**Post date:** [May 9, 2014, 2:30am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/1 "2014-05-09T02:30:28Z")

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I was wondering. You put a box full of mirrors over a scale. Then you point a source of light to the first mirror - there was no light at all entering the box before. Now the light bounces on an on and on on those mirrors. Therefore, the box is full of… photons, right?  
So… will the scale (imagine that the scale is amazingly precise) show any change on the weight of the illuminated box?

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**Author:** ![El\_Kabong](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/el_kabong/32/496_2.png) [@El\_Kabong](https://boards.straightdope.com/u/El_Kabong)\
**Post date:** [May 9, 2014, 2:38am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/2 "2014-05-09T02:38:09Z")

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Yes, but not very much. In other words, they’d be fairly light.

Thanks, I’ll be here all week.

OK, as the above may indicate, I’m not the best guy to answer this, but as I understand it, photons are considered to have no rest mass, as this would apparently screw up some other aspects of physics. Presumably, any measured value on your scale would come from some other interaction of the photons with the measuring surface, rather than the mass of the particles themselves. I’ll now get out of the way for someone who really knows what they are talking about.

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**Author:** ![Blake](https://avatars.discourse-cdn.com/v4/letter/b/a9a28c/32.png) [@Blake](https://boards.straightdope.com/u/Blake)\
**Post date:** [May 9, 2014, 2:43am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/3 "2014-05-09T02:43:08Z")

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> [@demian\_travis](#):
>
> I was wondering. You put a box full of mirrors over a scale. Then you point a source of light to the first mirror - there was no light at all entering the box before. Now the light bounces on an on and on on those mirrors. Therefore, the box is full of… photons, right?

Nope. Light moves astonishingly fast, and no material is perfectly reflective. So within fractions of a millisecond the photons will be absorbed and the box will be dark.

> [@](#):
>
> So… will the scale (imagine that the scale is amazingly precise) show any change on the weight of the illuminated box?

Yes, the weight will change. Mass is related to energy. The more energy an object has, the more massive it becomes. Once the box absorbs the energy of the photons it will become more massive, by an amount that can only be measured by your amazingly precise scale.

Note that this isn’t caused by the photons themselves having mass, but rather because they have energy which the rapidly impart to the box. It’s the act of adding energy to an object that already has mass that causes the mass to increase.

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**Author:** ![Artemis\_Tardis](https://avatars.discourse-cdn.com/v4/letter/a/4bbf92/32.png) [@Artemis\_Tardis](https://boards.straightdope.com/u/Artemis_Tardis)\
**Post date:** [May 9, 2014, 3:35am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/4 "2014-05-09T03:35:30Z")

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I am aware that I could not trap light inside the box - that would be indeed an amazing source of energy! But… how much does light weight? Would the “impact” of light on the mirrors be somehow measurable?

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**Author:** ![Der\_Trihs](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/der_trihs/32/233_2.png) [@Der\_Trihs](https://boards.straightdope.com/u/Der_Trihs)\
**Post date:** [May 9, 2014, 3:55am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/5 "2014-05-09T03:55:10Z")

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> [@demian\_travis](#):
>
> Would the “impact” of light on the mirrors be somehow measurable?

Yes, in theory; it’s called “[radiation pressure](http://en.wikipedia.org/wiki/Radiation_pressure)”.

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**Author:** ![Dr.Strangelove](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/dr.strangelove/32/6613_2.png) [@Dr.Strangelove](https://boards.straightdope.com/u/Dr.Strangelove)\
**Post date:** [May 9, 2014, 4:01am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/6 "2014-05-09T04:01:59Z")

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> [@demian\_travis](#):
>
> I am aware that I could not trap light inside the box - that would be indeed an amazing source of energy! But… how much does light weight? Would the “impact” of light on the mirrors be somehow measurable?

“Weight” is a tricky thing here–light does not have mass, but it does have momentum, and it is affected by gravity. Since “weight” basically means the force that an object exerts in response to gravity, it’s fair to say that photons have weight.

Light’s momentum is proportional to its frequency. What happens to your mirror box is a little strange: as a given photon bounces around, it decreases in frequency as it rises and increases in frequency as it falls (it’s a little hard to say why, but the short answer is “General Relativity”). This is called redshifting and blueshifting respectively. What this means is that a given photon will hit the bottom of the box a tiny bit harder than it hits the top, and so the box will experience a downward force overall (just as if it were full of atoms bouncing around).

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**Author:** ![Senegoid](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/senegoid/32/6606_2.png) [@Senegoid](https://boards.straightdope.com/u/Senegoid)\
**Post date:** [May 9, 2014, 4:02am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/7 "2014-05-09T04:02:16Z")

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> [@Der\_Trihs](#):
>
> Yes, in theory; it’s called “[radiation pressure](http://en.wikipedia.org/wiki/Radiation_pressure)”.

Is “solar wind” this, or something different? The wiki article you cite seems to speak of radiation pressure and solar wind as two different things, in this sentence:

> [@](#):
>
> Radiation pressure and solar wind then drive the dust and gases [in the tail of a comet] away from the Sun’s direction.

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**Author:** ![CalMeacham](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/calmeacham/32/35_2.png) [@CalMeacham](https://boards.straightdope.com/u/CalMeacham)\
**Post date:** [May 9, 2014, 4:38am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/8 "2014-05-09T04:38:30Z")

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> [@Senegoid](#):
>
> Is “solar wind” this, or something different? The wiki article you cite seems to speak of radiation pressure and solar wind as two different things, in this sentence:

“Solar wind” is a stream of particles from the sun. “light pressure” or “radiation pressure” is due to momentum transfer from photons. They’re very different effects, due to different particles (calling a photon a particle), and both affect solar sails.

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [May 9, 2014, 11:46am UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/9 "2014-05-09T11:46:22Z")

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An individual photon is massless. A system of multiple photons, traveling in different directions, does have mass. Your hypothetical box falls into this second category. Mass is not strictly additive, like it’s usually thought of.

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**Author:** ![rbroome](https://avatars.discourse-cdn.com/v4/letter/r/838e76/32.png) [@rbroome](https://boards.straightdope.com/u/rbroome)\
**Post date:** [May 9, 2014, 12:12pm UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/10 "2014-05-09T12:12:12Z")

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> [@Dr.Strangelove](#):
>
> “Weight” is a tricky thing here–light does not have mass, but it does have momentum, and it is affected by gravity. Since “weight” basically means the force that an object exerts in response to gravity, it’s fair to say that photons have weight.
> 
> Light’s momentum is proportional to its frequency. What happens to your mirror box is a little strange: as a given photon bounces around, it decreases in frequency as it rises and increases in frequency as it falls (it’s a little hard to say why, but the short answer is “General Relativity”). This is called redshifting and blueshifting respectively. What this means is that a given photon will hit the bottom of the box a tiny bit harder than it hits the top, and so the box will experience a downward force overall (just as if it were full of atoms bouncing around).

Help me out. I get that light has momentum but no rest mass. What is m=p/c?

Also, would the above frequency shift occur if the box isn’t in a gravitational field?

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<div class="post-metadata">

**Author:** ![CalMeacham](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/calmeacham/32/35_2.png) [@CalMeacham](https://boards.straightdope.com/u/CalMeacham)\
**Post date:** [May 9, 2014, 2:44pm UTC](https://boards.straightdope.com/t/does-light-have-a-weight/688021/11 "2014-05-09T14:44:16Z")

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> [@rbroome](#):
>
> Help me out. I get that light has momentum but no rest mass. What is m=p/c?
> 
> Also, would the above frequency shift occur if the box isn’t in a gravitational field?

photons move at the speed of light. If they had a “rest mass” it would take an infinite amount of energy to accelerate them to the speed of light. They can carry momentum, however, which seems counterintuitive. But the concept of light pressure was derived in the 19th century on the basis of thermodynamic arguments, and then on electromagnetic ones\*. It was already well established by the time quantum mechanics came around, and we started thinking of light quantized into photonic bullets, each carrying momentum proportional to the frequency.  
As for the idea of a collection of light having mass, think of the equivalence of mass and energy – the concentration of electromagnetic energy in a small space results in the samew sort of distortion of spacetime as a mass does. Look up the _geon_, first proposed by theoretical physicist John Wheeler in 1955, and defined (on this Wikipedisa page) as “an electromagnetic or gravitational wave which is held together in a confined region by the gravitational attraction of its own field energy”

> **[Geon (physics)](https://en.wikipedia.org/wiki/Geon_(physics))**
>
> In general relativity, a geon is a nonsingular electromagnetic or gravitational wave which is held together in a confined region by the gravitational attraction of its own field energy. They were first investigated theoretically in 1955 by J. A. Wheeler, who coined the term as a contraction of "gravitational electromagnetic entity".
> Since general relativity is a classical field theory, Wheeler's concept of a geon does not treat them as quantum-mechanical entities, and this generally remains tru...

See also Kugelblitz:

> **[Kugelblitz (astrophysics)](https://en.wikipedia.org/wiki/Kugelblitz_(astrophysics))**
>
> A kugelblitz (.mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}German: \[ˈkuːɡl̩ˌblɪt͡s\] ⓘ) is a theoretical astrophysical object predicted by general relativity. It is a concentration of heat, light or radiation so intense that its energy forms an event horizon and becomes self-trapped. In other words, if enough radiation is aimed into a region of sp...
