8.5.1 Conceptual Differentiation of Entropy Growth
and Entropy Growth Potential
It is correct to view that expended work causes the production of heat, but the real
reason that expended work causes the production of heat is an inference from
universal entropy growth. To think in terms of expended heat to be the cause for the
production of work as a matter of energetic relation without explicit use of the idea
of universal entropy growth amounts to give heat the sole role of causing work in
the dyadic framework of heat’s apparent utility. It is a role which heat cannot fulfill
[10]. Because of this incorrect assignment of a role for heat, the universal interconvertibility principle deprives the second law of its constructive function. The
second law of the MTH as the law of universal entropy growth is consequently
incomplete.
For making the second law into a complete law, it is necessary to conceptually
differentiate entropy growth and entropy growth potential [17]. The role, one that
heat cannot fulfill, can be fulfilled perfectly by entropy growth potential (EGP),
D P S
ð
Þ universe , defined
D G S
ð
Þ universe
Â
Ã
spon
¼ D P S
ð
Þ universe
ð129AÞ
or,
D G S
ð
Þ universe
Â
Ã
spon
¼
n
o
DS
ð Þ isoÀsys ¼ D P S
ð
Þ universe
ð129BÞ
As it was shown in Sects. 8.3 and 8.4 that in association with the system going
from its initial state to its final state in interaction with a reservoir, or as an isolated
system, there are infinite number of possible events. These infinite numbers of
possible events are bookended by the spontaneous event and the reversible event
called the Poincare range. Every event in a Poincare range shares the same EGP,
D P S
ð
Þ universe . But, the entropy growth of each specific event, D G S
ð
Þ universe
Â
Ã
event
, is
different ranging from
D G S
ð
Þ universe
Â
Ã
spon
¼ D P S
ð
Þ universe
for the spontaneous event to
D G S
ð
Þ universe
Â
Ã
rev
¼ 0
for the reversible event. With, for a specific event in the Poincare range, its entropy
growth falls between the two limits
0
D G S
ð
Þ universe
Â
Ã
event
D G S
ð
Þ universe
Â
Ã
spon
ð131Þ
8.5 The Entropy Growth Potential Principle
211
and Entropy Growth Potential
It is correct to view that expended work causes the production of heat, but the real
reason that expended work causes the production of heat is an inference from
universal entropy growth. To think in terms of expended heat to be the cause for the
production of work as a matter of energetic relation without explicit use of the idea
of universal entropy growth amounts to give heat the sole role of causing work in
the dyadic framework of heat’s apparent utility. It is a role which heat cannot fulfill
[10]. Because of this incorrect assignment of a role for heat, the universal interconvertibility principle deprives the second law of its constructive function. The
second law of the MTH as the law of universal entropy growth is consequently
incomplete.
For making the second law into a complete law, it is necessary to conceptually
differentiate entropy growth and entropy growth potential [17]. The role, one that
heat cannot fulfill, can be fulfilled perfectly by entropy growth potential (EGP),
D P S
ð
Þ universe , defined
D G S
ð
Þ universe
Â
Ã
spon
¼ D P S
ð
Þ universe
ð129AÞ
or,
D G S
ð
Þ universe
Â
Ã
spon
¼
n
o
DS
ð Þ isoÀsys ¼ D P S
ð
Þ universe
ð129BÞ
As it was shown in Sects. 8.3 and 8.4 that in association with the system going
from its initial state to its final state in interaction with a reservoir, or as an isolated
system, there are infinite number of possible events. These infinite numbers of
possible events are bookended by the spontaneous event and the reversible event
called the Poincare range. Every event in a Poincare range shares the same EGP,
D P S
ð
Þ universe . But, the entropy growth of each specific event, D G S
ð
Þ universe
Â
Ã
event
, is
different ranging from
D G S
ð
Þ universe
Â
Ã
spon
¼ D P S
ð
Þ universe
for the spontaneous event to
D G S
ð
Þ universe
Â
Ã
rev
¼ 0
for the reversible event. With, for a specific event in the Poincare range, its entropy
growth falls between the two limits
0
D G S
ð
Þ universe
Â
Ã
event
D G S
ð
Þ universe
Â
Ã
spon
ð131Þ
8.5 The Entropy Growth Potential Principle
211