Skeptics of biological evolution often claim that evolution requires a decrease in entropy, giving rise to a conflict with the second law of thermodynamics. This argument is fallacious because it neglects the large increase in entropy provided by sunlight striking the Earth. A recent article provided a quantitative assessment of the entropies involved and showed explicitly that there is no conflict. That article rests on an unjustified assumption about the amount of entropy reduction involved in evolution. I present a refinement of the argument that does not rely on this assumption.

1.
D. F.
Styer
, “
Entropy and evolution
,”
Am. J. Phys.
76
,
1031
1033
(
2008
).
2.
The TalkOrigins archive has a list of resources on the subject at ⟨www.talkorigins.org/faqs/thermo.html⟩.
3.
D.
Labs
and
H.
Neckel
, “
The solar constant (a compilation of recent measurements)
,”
Sol. Phys.
19
,
3
15
(
1971
).
4.
P. R.
Goode
,
J.
Qiu
,
V.
Yurchyshyn
,
J.
Hickey
,
M.-C.
Chu
,
E.
Kolbe
,
C. T.
Brown
, and
S. E.
Koonin
, “
Earthshine observations of the Earth’s reflectance
,”
Geophys. Res. Lett.
28
,
1671
1674
(
2001
).
5.
E. W.
Kolb
and
M. S.
Turner
,
The Early Universe
(
Addison-Wesley
,
Reading, MA
,
1990
), p.
354
.
6.

The reader who wishes to compare this article with that of Ref. 1 may find it helpful to note that Ref. 1 calculates both (dSdt)sun and (dSdt)CMB. In the quantitative conclusion [Eqs. (5) and (6)], Ref. 1 correctly uses (dSdt)sun, referring to this quantity as the “entropy throughput.”

7.
According to
B.
Alberts
,
D.
Bray
,
J.
Lewis
,
M.
Raff
,
K.
Roberts
, and
J. D.
Watson
,
Molecular Biology of the Cell
(
Garland
,
New York
,
1994
), 3rd ed., p.
90
, an E. coli bacterium has a volume of 2×1012cm3 and is about 15% protein by mass. If we assume that the density of the bacterium is that of water, the total mass of protein is 3×1013g. The molecular weights of amino acids are about 150gmol, and thus the total number of amino acids in these proteins is 1.2×109. An average protein contains 300 amino acids per protein (p. 118), yielding 4×106 proteins in the bacterium.
8.

Imagine that there are na amino acids in solution, with N available quantum states. Nondegeneracy means that Nna. The multiplicity is Ω(na)=(Nna). Taking one molecule out of solution causes the multiplicity to decrease by a factor Ω(na)Ω(na1)=(Nna+1)naNna=nQn.

9.

If we adopt a much narrower view of which changes are due to evolution, these estimates would not apply. Even in this case, the factor of 103 would still lack justification.

10.
See, for example, Eq. (3.63) in
D. V.
Schroeder
,
An Introduction to Thermal Physics
(
Addison-Wesley Longman
,
Reading, MA
,
2000
).
11.
W. B.
Whitman
,
D. C.
Coleman
, and
W. J.
Wiebe
, “
Prokaryotes: The unseen majority
,”
Proc. Natl. Acad. Sci. U.S.A.
95
,
6578
6583
(
1998
).
12.

Creating all of life in 6days might be thermodynamically problematic, however.

AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.