Chapter 8 considers the capital problem of heredity. The conservation of genomes over the ages is shown to blatantly contradict the existence of frequent mutations in genomes of somatic cells. This contradiction can be solved only by hypothesizing that genomes are endowed with error-correcting codes. Moreover, the better conservation of very old part of the genome like the HOX genes suggests that the genomic error-correcting code should combine a number of nested component codes which appeared progressively during the evolution process, and can be likened to Barbieri’s organic codes. It is shown that these hypotheses meet reality and explain a number of facts left unexplained by mainstream biology: genomes are immensely redundant, discrete species exist which moreover can be ordered according to a hierarchical taxonomy, and nature proceeds with successive generations. Evolution appears as contingent and saltationist because the genetic information originates in regeneration errors. Even the trend of evolution towards increased complexity , hence towards longer genomes, is explained by the better performance of long error-correcting codes, which thus have been favoured by Darwinian selection. We introduce a very simple model of ‘genomes’ consisting of binary sequences subjected to random errors. They are either left uncoded, or encoded by means of a simple error-correcting code. They are periodically replicated, and regenerated if they have been encoded. The resulting population of ‘genomes’ is referred to as ‘toy living world’. We examine the permanence of such ‘genomes’ in the presence of random symbol errors, with and without error correction. If the genomes are not coded, a chaotic set of ‘genomes’ results where ‘species’, i.e., populations of identical ‘genomes’, are the more fleeting, the longer they are. Only the existence of error correction can account for the permanence of ‘genomes’ of lengths compatible with those of actual genomes and the existence of discrete species. The hypothesized genomic error-correcting codes remain unidentified although some guesses can be made about them, and the means of their regeneration remain unknown.
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