Entropy NOR (and NAND) was published to Arxiv in 2014 and to FNL in 2016. The papers show a basis for interaction in physics and a tiny basis for computation. They are almost the same, each focusing on a different logic gate.

Entropy NAND: Early Functional Completeness in Entropy Networks
Forrest Fabian Jesse (1, 2, 3)

An observer increases in relative entropy as it receives information from what it is observing. In a system of only an observer and the observed, an increase in the relative entropy of the observer is a decrease in the relative entropy of the observed. Linking together these directional entropy disequilibriums we show that NAND and NOR functionality arise in such networks at very low levels of complexity.

Comments: 12 pages, 3 figures
Subjects: Information Theory (cs.IT)
MSC classes: 37A35, 81P15
ACM classes: F.1.1; F.1.2
arXiv:1410.2670 [cs.IT]

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Entropy NOR: Early Functional Completeness in Entropy Networks
Forrest Fabian Jesse (1, 2, 3)
Zhenjiang Miao (1)
Weidong Li (2)

(1) School of Computer and Information Technology, Beijing Jiao Tong University, Beijing 100044, P. R. China (2) Bio-X Institutes, Shanghai Jiao Tong University, Shanghai 200240, P. R. China (3) Xixuan Laboratory, 13th Floor, National University Technology Building, Beijing Jiao Tong University East Section, Beijing 100044, P. R. China

Linking together two directional entropy disequilibriums, NOR functionality can be found. The entropy NOR gate presented is constructed of discrete observations and so is very small, emerging at the earliest stages of complexity. The gate is based on the axiom that an observer increases in entropy as it receives information from what it is observing.

Keywords: Observation; networks; entropy transfer; directed entropy; directed observation; functionally complete; NOR; NAND; logic

Forrest Fabian Jesse, Zhenjiang Miao, and Weidong Li, Fluct. Noise Lett. 15, 1650004 (2016)

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The papers can be found here:

https://doi.org/10.1142/S0219477516500048
https://arxiv.org/abs/1410.2670
http://www.worldscientific.com/doi/abs/10.1142/S0219477516500048