Why is the speed of light used in the equation E=mc^2?

In summary, the equation E=mc^2 is a fundamental concept in physics that relates energy to mass and the speed of light. It is derived from the theory of relativity and has important implications such as the existence of antimatter. The speed of light is used as a constant because of its role in relativity, but there are other factors that can affect the equation such as varying mass.
  • #1
KingNothing
882
4
Hey all, we are all familiar with the equation [tex]E=mc^2[/tex]
Where energy equals mass times the speed of light squared...

My question is...why? I mean, of course it works, but why the speed of light?

My theory so far has been that since light is pure energy, its speed is used as a sort of constant when it comes to measuring energy. But...why the speed? Why not some other property. I dunno, its just causing some cognitive dissonance right now, It seems like speed shouldn't be in there.

Please don't go out of your way to tell me "oh yes it should, because that equation works"...I'm not making any claism that its false at all.
 
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  • #2
It comes out of relativity, where the speed of light plays an important role. The covariant formula for energy in relativity is [tex] E^2 = p^2c^2 + m^2c^4 [/tex] where p is the magnitude of the momentum and m is the invariant mass. If you take the momentum to be zero, meaning you are in the rest frame of the mass you are working on, then the famous formula results when you take square roots.
 
  • #3
and it also predicts the existence of antimatter, E=+-mc^2
 
  • #4
and it also predicts the existence of antimatter, E=+-mc^2
Just how would that :confused: equation :confused: have anything to-do with anti-matter.

Oracle
 
  • #5
What if mass is varying? E*dE=mc^4*dm and then integrate?
 
  • #6
Ebolamonk3y said:
What if mass is varying? E*dE=mc^4*dm and then integrate?


You mean Integrate E*dm = mc^2 dm?
 
  • #7
Blistering Peanut said:
and it also predicts the existence of antimatter, E=+-mc^2

I think you mean negative energy.
 
  • #8
PrudensOptimus said:
You mean Integrate E*dm = mc^2 dm?

Integrate the original function.
 

1. Why is the speed of light considered to be the fastest speed?

The speed of light, also known as c, is considered to be the fastest speed because it is the highest speed at which energy, information, and matter can travel through space. It is a fundamental constant in the universe and can only be achieved by massless particles like photons.

2. How was the speed of light first measured?

The first accurate measurement of the speed of light was conducted by a Danish astronomer, Ole Rømer in 1676. He observed the apparent delay in the eclipses of Jupiter's moons as the Earth moved closer or farther away from Jupiter in its orbit. By measuring the time difference between the eclipses, he was able to estimate the speed of light to be about 220,000 kilometers per second.

3. What is the significance of the speed of light in Einstein's theory of relativity?

In his theory of relativity, Albert Einstein proposed that the speed of light is the ultimate speed limit in the universe. This means that nothing can travel faster than the speed of light. This concept is crucial in understanding the relationship between space and time and has revolutionized our understanding of the universe.

4. Can the speed of light be exceeded?

According to the theory of relativity, the speed of light is the maximum speed at which anything can travel. This has been supported by numerous experiments and observations. However, there are some theories that suggest the possibility of faster-than-light travel, such as the Alcubierre drive, but they are still theoretical and have not been proven.

5. How is the speed of light used in modern technology?

The speed of light plays a crucial role in modern technology, particularly in fields like telecommunications and navigation. It is used in fiber optic cables to transmit data at high speeds. It is also used in GPS systems to accurately measure location and time. Understanding the speed of light has also led to the development of technologies like lasers, which have a wide range of applications in various industries.

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