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Symmetries in Genetic Systems and the Concept of Geno-Logical Coding

机译：遗传系统中的对称性和基因逻辑编码的概念

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The genetic code of amino acid sequences in proteins does not allow understanding and modeling of inherited processes such as inborn coordinated motions of living bodies, innate principles of sensory information processing, quasi-holographic properties, etc. To be able to model these phenomena, the concept of geno-logical coding, which is connected with logical functions and Boolean algebra, is put forward. The article describes basic pieces of evidence in favor of the existence of the geno-logical code, which exists in p-arallel with the known genetic code of amino acid sequences but which serves for transferring inherited processes along chains of generations. These pieces of evidence have been received due to the analysis of symmetries in structures of molecular-genetic systems. The analysis has revealed a close connection of the genetic system with dyadic groups of binary numbers and with other mathematical objects, which are related with dyadic groups: Walsh functions (which are algebraic characters of dyadic groups), bit-reversal permutations, logical holography, etc. These results provide a new approach for mathematical modeling of genetic structures, which uses known mathematical formalisms from technological fields of noise-immunity coding of information, binary analysis, logical holography, and digital devices of artificial intellect. Some opportunities for a development of algebraic-logical biology are opened.
机译：蛋白质中氨基酸序列的遗传密码不允许理解和建模遗传过程，例如，生物的先天协调运动，感觉信息处理的先天原理，准全息性质等。为了能够对这些现象进行建模，提出了与逻辑函数和布尔代数相联系的遗传逻辑编码概念。这篇文章描述了支持存在遗传学密码的基本证据，该遗传学密码以已知的氨基酸序列遗传密码存在于p-arallel中，但可用于沿世代链转移遗传过程。由于对分子遗传系统的结构对称性进行了分析，因此收到了这些证据。分析表明，遗传系统与二进制数的二进位组以及与二进位组相关的其他数学对象密切相关：沃尔什函数（这是二进位组的代数字符），位反转排列，逻辑全息图，这些结果为遗传结构的数学建模提供了一种新方法，该方法使用了来自信息噪声免疫编码，二进制分析，逻辑全息术以及人工智能数字设备等技术领域的已知数学形式主义。为发展代数逻辑生物学提供了一些机会。

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