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an algorithmic complexity interpretation of lins third law of information theory林一个算法复杂度的解释信息理论的第三定律
Entropy 2008, 10, 6-14
entropy
ISSN 1099-4300
c
2008 by MDPI
/entropy/
Full Paper
An Algorithmic Complexity Interpretation of Lin’s Third Law of
Information Theory
Joel Ratsaby
Electrical and Electronic Engineering Department, Ariel University Center of Samaria, Ariel 40700,
Israel; E-mail: ratsaby@ariel.ac.il; http://www.ariel.ac.il/ee/pf/ratsaby/
Received: 28 February 2008; in revised form: 16 March 2008 / Accepted: 19 March 2008 /
Published: 20 March 2008
Abstract: Instead of static entropy we assert that the Kolmogorov complexity of a static
structure such as a solid is the proper measure of disorder (or chaoticity). A static struc-
ture in a surrounding perfectly-random universe acts as an interfering entity which introduces
local disruption in randomness. This is modeled by a selection rule which selects a subse-
quence of the random input sequence that hits the structure. Through the inequality that relates
stochasticity and chaoticity of random binary sequences we maintain that Lin’s notion of sta-
bility corresponds to the stability of the frequency of s in the selected subsequence. This
explains why more complex static structures are less stable. Lin’s third law is represented
as the inevitable change that static structure undergo towards conforming to the universe’s
perfect randomness.
Keywords: Entropy, Randomness, Information theory, Algorithmic complexity, Binary se-
quences
1. Introduction
Lin [12–14] intr
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