Science and Reason
in Hampton Roads

 

Dustup At The mc2 Corral!
 

 
To commemorate the 100th Anniversary of Albert Einstein's famous paper first describing the equivalence of energy and matter (E = mc2), our local paper, the Virginian Pilot (Norfolk, VA), on October 9, 2005, ran two articles about the incredible significance of this discovery.  Click to read the main Virginian Pilot article, and to read the second article.
 
The two articles, by Professor Brian Greene, a substantial scholar of nuclear physics, and a major advocate and popularizer of "string theory", set forth what was to many, a completely radical and alarming claim, that the energy released in purely chemical reactions (eg., running an auto, discharging a battery) is due to small amounts of mass being converted into energy.  This completely contradicts what almost all of us learned as scientists, and strong criticism followed.  Click to read the outraged replies to Professor Greene's articles.
 
One calmer reader got it mostly right, but still somewhat wrong (click  ).  In actuality, all the products of the burned log DO weigh slightly less than the original log, but the weight loss is far too small to weigh directly.  Professor Anthony Zee writes popular books about theoretical physics and was speaking symbolically in the "burning log" example.
 
Finally, two Old Dominion University (Norfolk, VA) professors pretty much nailed the controversy down (click  ), and it surprised and disturbed most everyone.
 
The straight skinny is this: in all reactions: nuclear, chemical, electrical, etc. the number of particles involved are absolutely conserved, ie., you always end up with the same number of particles (protons and neutrons, or in chemical reactions, electrons) before and after the reaction.  But, the particles involved are distributed differently after the reaction. Eg., in a nuclear fission reaction, a big uranium nucleus breaks into two smaller nuclei and gives off some extra neutrons.  If you add up all the particles, you still have the same number of protons, neutrons, and electrons before and after.  But the difference is that those protons, neutrons, and electrons are all arranged differently in the final products than they were in the original starting materials.  You started with a big, heavy, high-energy uranium nucleus, and you ended up with two smaller, lighter, lower-energy nuclei plus a couple of scattered neutrons.  Similarly, in chemical reactions (like the burning log), you started out with a big, heavy log with the electrons in high-energy, complicated orbitals and you ended up with smaller, lighter, ash, cinder, and "glowing hot gas" molecules with the electrons in lower-energy, simple orbitals (no neutrons or protons are involved in chemical reactions).
 
Now, let's look at Einstein's equation the way he wrote it in his original 1905 paper:

We can now clearly see that the mass of a particle is dependent on its energy.  If the E of a particle gets smaller, then the m of the particle gets smaller too.  Here's the surprise that caught so many readers off-guard: the protons and neutrons in the smaller, simpler, lower-energy fission products weigh less than those same particles in the big uranium nucleus; the electrons in the simple, lower-energy ash, cinder, and gas molecules weigh less than those same electrons in the big log. 
 
So there's the astounding, mind-bending truth: in any reaction, particles are always conserved, but they are re-arranged from high-energy structures into lower-energy structures.  The same particles in lower-energy structures (through m = E /c2) have less mass than they had before the reaction; this decrease in mass produces the energy (through E = mc2) of the reaction.  In nuclear reactions, this mass change is large, large enough to be measured directly, and produces incredible amounts of energy (in fact, atom-bomb amounts of energy).  In chemical reactions, the mass change is much, much smaller, far too small to be measured directly, and produces only the thermodynamic (Gibb's Free Energy, Enthalpy, Helmholtz Free Energy, Internal Energy, etc.,) amounts of energy we are familiar with.
 
The whole matter was summed up very succinctly by Dr. Larry Weinstein of the ODU Physics Department:
"You cannot destroy electrons and you cannot destroy nucleons (protons plus neutrons).  All reactions do is to rearrange them.  A nuclear reaction rearranges protons and neutrons, and their mass changes by about 0.1%.  A chemical reaction rearranges electrons, and their mass changes only by about 0.0000001%.  It is the mass change that comes out as the energy of the reaction."
And that's the paradigm-wrenching truth.  Comfort yourself with the words of the noted English scientist J.B.S. Haldane: "The universe is not only stranger than we imagine, it is stranger than we CAN imagine."

 

 
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