Energy to Matter: Unlocking E=mc^2

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    E=mc^2
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Discussion Overview

The discussion revolves around the conversion of energy into matter, exploring the implications of Einstein's equation E=mc². Participants examine theoretical and experimental contexts, including high-energy particle physics and cosmological events like the Big Bang.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants assert that energy can be converted into matter, citing high-energy particle collisions at laboratories like Fermilab and CERN as evidence.
  • Others emphasize that while energy can be converted into mass, it requires a significant amount of energy due to the large value of c² in E=mc².
  • A participant questions the definition of "matter" and its implications for energy conservation in special relativity (SR), suggesting that energy is conserved in a closed system.
  • Concerns are raised about energy conservation during the conversion process, with some arguing that energy could be lost in forms such as thermal energy or light.
  • One participant clarifies that mass and energy are fundamentally the same, and converting energy into mass does not destroy energy but rather transforms it into a different form.
  • Another participant attempts to express the relationship between energy and mass mathematically, indicating that mass can be derived from energy using E=mc².
  • Examples from cosmology, such as the end of inflation during the Big Bang, are provided to illustrate energy conversion into matter.

Areas of Agreement / Disagreement

Participants express differing views on the definitions of energy and matter, the implications for energy conservation, and the conditions under which energy can be converted into mass. No consensus is reached on these points.

Contextual Notes

The discussion includes various assumptions about definitions and the nature of energy and matter, which remain unresolved. The mathematical expressions presented also contain formatting issues that may affect clarity.

oldunion
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If matter can be converted into energy, why then can energy not be converted into matter?
 
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Energy is converted into matter every day at high-energy particle physics laboratories such as Fermilab and CERN. Smash together particles with lots of kinetic energy, and some of that energy goes into the mass of the particles that are created in the collision.
 
The point is that BECAUSE e= mc2, and c is a very large number, a small amount of mass produces a huge amount of energy but it takes a huge amount of energy to produce a small amount of mass- energy to mass conversion happens all the time- you just don't notice it because it produces such a small mass!
 
oldunion said:
If matter can be converted into energy, why then can energy not be converted into matter?
The term "matter" is too ill defined to correctly answer your question. But for the most part, in SR, ditates that energy of a closed system is always conserved as observed in in inertial frame of reference.

Pete
 
how could energy be conserved if you went from it to mass. you would be losing it all over the place, thermal, light, friction
 
"Energy" is a very generic term. Mass and energy are really essentially the same thing -- that's what E=mc^2 is all about in the first place. If you convert one kind of energy, like radiation, into mass, you're not destroying the energy -- you're locking it up in the form of mass. You could later turn that mass back into the same amount of energy you started with.

In General Relativity, the scientific theory which describes gravitation, energy and mass are treated quite directly as different kinds of the same "stuff." They both, in fact, produce gravitational forces in the same way.

- Warren
 
oldunion said:
how could energy be conserved if you went from it to mass. you would be losing it all over the place, thermal, light, friction

Because we define an object to have a certain amount of energy (its "rest energy") simply because it has a certain amount of mass, according to [itex]E = mc^2[/itex].
 
I think he wants to know this.
if [itex]E= mc^2[/itex] then m= [itex]\frac {E} {c^2}[/itex]
 
Last edited by a moderator:
energy can be converted into matter, you just neet a lot of energy to make matter (just look at the formula e=mc2, the speed of light is a very large number, which means very large amounts of energy)

Fibonacci
 
  • #10
the latex of my above post did not work out. So here goes using ASCII :)
if e=cm^2 then m=c^2/e
 
  • #11
1 said:
energy can be converted into matter, you just neet a lot of energy to make matter (just look at the formula e=mc2, the speed of light is a very large number, which means very large amounts of energy)

Fibonacci
Excellent example (if one accepts the inflation hypothesis) is the end of inflation during the Big Bang, when the energy contained in the inflaton field quickly decayed into other particles and fields until eventually the universe consisted mainly of long-lived forms of energy such as protons, neutrons, electrons, neutrinos, photons etc.

MF :smile:
 

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