# Matter and Energy

1. Mar 11, 2009

### menergyam

Why can't matter spontaneously turn into energy? What prevents this from happening? Energy is still conserved.

Suppose we consider an atom as a system. The entropy of the system is very low. Now if the atom turned into energy, then the entropy would increase dramatically, is this correct?

Also, I am thinking that the conversion for mass to energy is a reversible process. However, entropy increased, and in order to compact the energy back together again, you would also be decreasing the entropy again back to when it was an atom.

I though that entropy always increases, I learned this from my thermodynamics class. So, if entropy always increases, then why won't matter spontaneously turn into energy?

Last edited: Mar 12, 2009
2. Mar 12, 2009

### Gear300

Thermodynamics states that the general direction of entropy is increasing, though I'm not sure how it would apply to quantum frames.

3. Mar 12, 2009

### lightarrow

It's quite diffucult to be able to state that entropy would increase in that case (as Gear300 says) but even if it was plain true, you still have to consider enthalpy, activation energy and kinetics; in chemistry there are many reactions that are entropically favourite but don't happen for those reasons.

4. Mar 12, 2009

### HallsofIvy

Staff Emeritus
?? It can and it does. Whenever Uranium fissions, the total mass of the fission products is less than the mass of the Uranium atom. That lost matter has turned into energy.

5. Mar 12, 2009

### Naty1

First: no one knows exactly what entropy is, any more than we know what mass or time or space really is. Matter is bound together by nuclear (strong and weak) and electromagnetic forces...I don't think anyone knows why theses forces are as they are. As far as I know the lifetime of matter is unknown but longer than that of the universe. One theory is that these forces (and likely gravity) were all "unified" (as a single force) at the origin of the universe and via spontaneous symmetry breaking ended up as apparently distinct forces we observe today.
So the simple answer is that forces holding matter together holds them for a loooooong time....in other words, the binding forces don't seem to decay except for the weak (radioactive) force....but that's not necessarily the most interesting feature underlying your question!!!

I do have a crude understanding of current thinking about why matter forms in the first place:

Entropy usually increases, but not ALWAYS. It a statistical phenomena not an absolute rule without exception. As far as we know time never runs in reverse, but entropy can reverse locally (decrease) for extended periods. Entropy as often taught in introductory undergraduate classes does not discuss gravitational relationships with entropy and that changes EVERYTHING.

Here is how Brian Greene in FABRIC OF THE COSMOS describes gravity and entropy(Chapter 6):

So except basically for hydrogen and helium, stars form most elements around us...you are made from the stars!!! and those process "violate" commonly understood entropy increase rules for long periods.

and regarding black holes:

(gravity causes black holes;black holes have maximal entropy.) (Stephen Hawking and Jacob Beckenstein are famous for their work on black holes,entropy and associated information theory.)

A generally interesting and broad based discussion of entropy and the universe can be found at
http://en.wikipedia.org/wiki/Entropy#Entropy_and_cosmology

You could easily spend a lifetime studying energy,entropy...and information. Entropy can be viewed as a subset of information theory!!! (Bet that wasn't mentioned either!!)

Except for time, my own view is that entropy is likely one of the least understood scientific subjects by most people...and maybe physicsts as well.

Last edited: Mar 12, 2009
6. Mar 12, 2009

### Mapes

This is a little mixed up. Yes, it's not unusual at all for local entropy to decrease; it happens any time a hot object cools down. But it is incredibly unlikely for total entropy to decrease (that is, for a local decrease somewhere not to be compensated by an adjacent increase, as in the case of heat transfer). For a closed system of much more than a few atoms, you'll essentially never see a decrease in total entropy.

Gravity does not change anything. As Greene points out in the quote you provided, any local decrease in entropy is more than offset by radiated heat. The Second Law is secure, even when considering gravity.

7. Mar 12, 2009

### Bob S

Let's consider a simple case. We have a radioactive sodium 22 (Na^22) source, which is a positron emitter. We watch a positron as it stops, and begins its death spiral around an electron. In a nanosecond or two, its gone, and two 511 keV gamma rays are emitted in opposite directions. The two gamma rays quickly convert to heat energy in matter. Here we have complete conversion of mass into energy, but only beause the particle annihilates with its own antiparticle, thus cancelling all conserved quantum numbers (charge, lepton number, spin). But entropy increases. This is an example of the extreme limit of the complete conversion of mass into pure heat energy.

8. Mar 12, 2009

### Mapes

Can you describe how you calculated this? (Or did you infer it from the spontaneous nature of the process?)

9. Mar 12, 2009

### menergyam

So matter does spontaneously turn into energy! What is the reason underlying that entropy increases over time?