E=mc2 How did Einstein get to this equation?

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SUMMARY

Einstein's equation E=mc² represents the equivalence of mass and energy, establishing that mass can be converted into energy. The discussion clarifies that F=mc² is incorrect as it conflates units of energy with units of force. To understand the derivation and implications of E=mc², it is essential to study special relativity through structured resources. Recommended readings include "An Illustrated Guide to Relativity" by Takeuchi, "It's About Time: Understanding Einstein's Relativity" by Mermin, and "Spacetime Physics" by Taylor and Wheeler.

PREREQUISITES
  • Basic understanding of physics concepts such as mass and energy
  • Familiarity with the principles of special relativity
  • Knowledge of units of measurement in physics (energy vs. force)
  • Ability to read and comprehend scientific literature
NEXT STEPS
  • Study "An Illustrated Guide to Relativity" by Takeuchi for an accessible introduction
  • Read "It's About Time: Understanding Einstein's Relativity" by Mermin for a deeper understanding
  • Explore "Spacetime Physics" by Taylor and Wheeler for advanced insights into relativity
  • Review Einstein's original paper on E=mc² for firsthand knowledge of his findings
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the foundational concepts of mass-energy equivalence will benefit from this discussion.

Zac Einstein
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How did Einstein get to this equation?...I mean the math behind it and why E=mc2? why not F=mc2? we can get so much force from m*c2 right? but why did Einstein write E=mc2? :smile:
 
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Here is Einstein's original paper on the topic, which is actually pretty readable: http://fourmilab.ch/etexts/einstein/E_mc2/www/

Of course there's no particular reason that we have to go about things exactly the same way as Einstein. There are various ways of getting this result.

In general, you're not well advised to try to learn relativity from scratch simply by posting questions on this forum. You need a book to present things in an organized way. Some good books about special relativity are (from easiest to hardest):

Takeuchi, An Illustrated Guide to Relativity
Mermin, It's About Time: Understanding Einstein's Relativity
Taylor and Wheeler, Spacetime Physics

The advantage of Takeuchi and Mermin is that they require very little background in math or physics. Their disadvantage is a total lack of connection to experiment.
 
bcrowell said:
Here is Einstein's original paper on the topic, which is actually pretty readable: http://fourmilab.ch/etexts/einstein/E_mc2/www/

Of course there's no particular reason that we have to go about things exactly the same way as Einstein. There are various ways of getting this result.

In general, you're not well advised to try to learn relativity from scratch simply by posting questions on this forum. You need a book to present things in an organized way. Some good books about special relativity are (from easiest to hardest):

Takeuchi, An Illustrated Guide to Relativity
Mermin, It's About Time: Understanding Einstein's Relativity
Taylor and Wheeler, Spacetime Physics

The advantage of Takeuchi and Mermin is that they require very little background in math or physics. Their disadvantage is a total lack of connection to experiment.


You're right sir :smile:
I want to know everything but not in an organized way :smile:
Thank you :rolleyes:
 
Zac Einstein said:
How did Einstein get to this equation?...I mean the math behind it and why E=mc2? why not F=mc2? we can get so much force from m*c2 right? but why did Einstein write E=mc2? :smile:

By the way, F = mc^2 makes no sense. The right hand side is a unit of energy, the left is a unit of force. In fact, once you read up on it a little, you'll see that E = mc^2 applies to an object just sitting there - it has an inherent energy associated with it just by existing. Talking about forces in that context is like asking how much speed I can get out of a car that has no wheels.
 

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