364 The Cell Language Theory: Connecting Mind and Matterb2861 The Cell Language Theory: Connecting Mind and Matter “6x9”Table 8.3 Two different views on the entropy–information relation.
Schrödinger (1944) [545] Ji (2015) [26]
Entropy (S) S = k log D S = k log D
Information (I) –S = k log (1/D) IP = log 2 [AUC(PDE)/AUC(GLE)]
IP = the Planckian information, Eq. (8.10). D = disorder. AUC = area under the curve; PDE =
Planckian distribution equation (8.2) or (8.3); GLE = Gaussian-like equation, (8.9).A comparison between Planckian information and Boltzmann entropy.Order Disorder
IP = log[AUC(PDE)/AUC(GLE)] (2008–2014) S = k log W (1872–1875)
Planckian information (Section 8.5) Boltzmann entropy [169]
Organized complexity [331] Disorganized Complexity [331]
Infostatistical mechanics [25, pp. 102–106] Statistical mechanics [183]
AUC = area under the curve; PDE = Planckian distribution equation, (8.2) or (8.3); GLE =
Gaussian-like equation, (8.9). (The photograph was kindly taken in Vienna in 2015 by Ms.
Jaehyun Lee.)b2861_Ch-08.indd 364 17-10-2017 12:09:18 PM