E=mc² is Incomplete

You've heard of E=mc²... but you probably haven't heard the whole story.
http://translate.minutephysics.com

MinutePhysics is on Google+ - http://bit.ly/qzEwc6
And facebook - http://facebook.com/minutephysics
And twitter - @minutephysics

Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute!

Music by Nathaniel Schroeder - http://www.soundcloud.com/drschroeder

Thanks to Nima Doroud and Bruno LeFloch for contributions and to Perimeter Institute for support.
http://www.perimeterinstitute.ca

• Category

  Science & Technology

[Albert Einstein]

Smart Ass.

[QuickTipScience]

I love minutephysics wish my channel was as good! /watch?v=oLPgNkuzw8M

[Matilde Rivas]

finally! I have a answer to my question :D thanks

[smithn383]

LMFAO I was posting a lot of antitheist stuff on the page for the video "Crash Course in Presuppositional Apologetics: Self Refuting Worldviews" and was getting a ton of dislikes on my comments (as was the idiotic theist I was arguing with).

So I posted the contents of this video onto that page, came back later, and found a ton of dislikes on the comment. Says a lot about how easily biased and intentionally closed minded so many people are.

[pibroch]

Wrong. The momentum of a massless particle is calculated by dividing Planck's Constant by the wavelength of the particle.

[Dustin Niehoff]

Hmm, that may be possible, I was thinking distinctly of the visible pro-universe (if I may coin a term...). I am not so well versed on the subject of antimatter.

[jeremy ocampo]

oh, i just researched it and it turns out dirac used this and discovered antimatter i think

[Dustin Niehoff]

No, the negative value is unphysical. This is a case where the purely mathematical solution is correct, but doesn't mean anything, and we therefore discard the negative solution when we want to describe something in the real world.

[jeremy ocampo]

does this mean that the energy can be negative?

as E=+ or - sqrt((mc2)2+(pc)2))???????????

[wulf2121]

not if it's moving at the speed of light and you use the formula for the relativistic momentum. p = m * v / sqrt ( 1 - v²/c² )

This results in 0/0 which is mathematically undefined, i.e. a massless particle at the speed of light (a photon) can have any momentum, which is solely defined by the amount of energy it contains.

[Mike Daniels]

WAIT - if e = pc if a object has no mass, that means it has no momentum.