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I was watching a show about the big bang theory. They were saying that in the beginning all that existed was energy. After the big bang that energy transformed into matter which then started forming into different elements. How exactly does energy change into matter and at what point does this happen?

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    $\begingroup$ I really think this needs to go to Physics - especially with the imminent demise of Astronomy. The physics guys would be able to give very straightforward answers on the interchangeability of energy and matter. $\endgroup$
    – Rory Alsop
    Apr 28, 2012 at 17:24

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Energy transforms into matter and vice-versa all of the time, according to Einsteins famous relation: $$E=mc^2$$ Essentially, if pairs of massless particles (say photons) have enough energy, they have a finite probability of transforming into two (or more) massive particles.

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  • $\begingroup$ A single massless particle (eg photon) can't transform into two particles, but two photons can (the reverse of electron-positron annihilation). $\endgroup$
    – James
    Jun 6, 2012 at 21:55
  • $\begingroup$ @James - within an electric field a single massless particle can transform into two particles, but I guess the initial state in the big bang had zero electric field. $\endgroup$ Jun 7, 2012 at 12:08
  • $\begingroup$ Only as a virtual process, which isn't being discussed here. Either way, there simply isn't any sense in which it is true to say "if a massless particle (say a photon) has enough energy, it has a finite probability of transforming into two (or more) massive particles". $\endgroup$
    – James
    Jun 9, 2012 at 9:48
  • $\begingroup$ would you please also explain in short from where does that finite probability arise? Curious to know! Summation on zero masses becoming equal to a finite mass needs to define first an irregular particular summation on gravitational forces that are not yet fully understood! Am I missing a point? Clarification on this seems to be somewhat the point the OP is asking for I guess ;) $\endgroup$
    – owari
    Jan 11, 2013 at 20:01
  • $\begingroup$ @owari - it has nothing to do with gravitation, in quantum mechanics gravity has no influince due to it being such a weak force. I wasn't quite accurate in my answer, but if a photon is in an external field, one of the ways it interacts can be to disappear and become 2 massive particles. The photon has a finite probability of interaction - therefore the probabilty of converting energy to mass. $\endgroup$ Jan 11, 2013 at 22:03
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We are living in a material universe, and everything around inside this material universe is a matter, and (kinetic) energy is also nothing more than an impression of the existence of the matter. Other energies can be defined based on the purest form of energy which is kinetic. I don't know albeit if there we would need another building block beside the Kinetic energy or not to be able to build our universe in a bottom-up approach.

Consider matter as volume-less point moving at a velocity. The purest matter would be e.g. light particles and we have many electromagnetic and other particles which can all be the purest form of matter. Then each group of particles that fall in an structure would form higher levels of matter. The content of the kinetic energy of each can now be averaged to give other forms of energy, atomic energy if the structure is atom and chemical energies if the structure is molecule and etc. Therefore you may like to call a coherent energy (entrapped energy in a material structure) as matter (in the common view of matter).

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Mass is nothing but most concentrated form of energy. As its the most concentrated form, all attributes of energy (possessing momentum, gravitational interaction etc) get magnified. You can see the equivalence in the popular equation $E=mc^2$.

Not just in the beginning, but even today all that exist is energy (and, Spacetime, other dimensions).

Energy can be converted from one form to another. That's what is done when mass is created. We do create mass on regular basis in particle accelerators, too. When two particles collide, some of their kinetic energy is converted to mass. As a result, we get many subatomic particles like electrons, positrons, muons etc.
To know how this process works in detail, you'll have to dive deep into modern physics (Quantum physics etc). One thing I'd like to say that its not a big thing like most of society think.

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  • $\begingroup$ I know today physics say energy and matter can be converted to each other but I cannot imagine energy without a matter that posses it, like I cannot imagine a wave crosses void, either we need Ether or we would need the electromagnetic waves to be material particles. My idea though and I'm not a physics expert as probably you are! $\endgroup$
    – owari
    Jan 11, 2013 at 22:31
  • $\begingroup$ @owari Then, your imagination is trapped in the classical model. The purest form of imagination problem should be: "Is light really a wave? I can't believe it as object." You shouldn't have reached ether model. So, break free the classical physics trap. $\endgroup$ Jan 11, 2013 at 22:43
  • $\begingroup$ :D actually a little bit I feel like Einstein was feeling about the quantum physics, I would rather stick to the causality and postpone accepting the modern physics to a time after its definition sounds reasonable to me! Not to say they are not, but for me to understand it! thanks for your caring ;) $\endgroup$
    – owari
    Jan 12, 2013 at 3:01