https://link.springer.com/chapter/10.1007/978-3-030-80531-9_20
Algebraic Harmony in Genomic DNA-Texts and Long-Range Coherence in Biological Systems
The paper is devoted to actual problems of development of quantum biology. Connections of the hyperbolic rules of cooperative oligomer organization of DNA-texts of eukaryotic and prokaryotic genomes with known Fröhlich’s theory of quantum long-range coherence in biological systems are considered for the first time. These new hyperbolic rules in long helical DNA, which are related with the harmonic progression 1, 1/2,…, 1/n, allow discussion of a connection of Fröhlich’s theory with fractal-like phenomena of the cooperative organization of long DNA-texts and also with helical antennas, which emit and absorb electromagnetic waves of circular polarization. The harmonic progression is related to standing waves in resonators and, in particular, to harmonics in music. It is noted that the algebra-harmonic features of genomes remind the well-known ancient practice of meditations using music and 4-sector mandalas. The described materials develop ideas of quantum biology and can lead to new ideas in theoretical and application areas, including problems of artificial intelligence and in-depth study of genetic phenomena for medical and biotechnological tasks.
doi.org/10.1016/j.biosystems.2021.104503
https://www.sciencedirect.com/science/article/abs/pii/S0303264721001507?via%3Dihub
- 1. Introduction
- 2. Positional tetra-groupings rule of percentage composition of n-plets
- 3. DNA epi-chains and the positional rule of percentages of n-plets
- 4. Regarding the development of Gestalt genetics based on analogies with Gestalt psychology
- 5. Gestalt genetics and quantum informatics
- 6. Gestalt percentage rules for sets of n-plets starting with certain k-plets (k < n)
- 7. The genomic rules and Frohlich's theory about collective quantum effects in biological systems
- 7.1. Some concluding remarks
- Acknowledgments
- Appendix I. On the tensor product of matrices
- References
Wow fascinating!! a sequence of these two and three hydrogen bonds....as the INfinite stochastic resonance of Pythagoras!!
Finally!!
Precisely the same noncommutative phase model. No conversion to equal-tempered tuning...
http://petoukhov.com/wp-content/uploads/2011/05/sciforum-003888-from-PETOUKHOV-2.pdf
Oh I saw this before I think.
Mathematical Methods of Algebraic Biology
- but you didn't mention the "two, three, infinity" secret in that powerpoint - so I didn't contact you! You did mention the connection to Daoism though. Chapter 42 of the Tao Te Ching is all about the two, three infinity secret but Westerners don't get the secret since they don't understand the noncommutative phase.Algebraic harmony and probabilities in genomes. Long-range coherence in quantum code biology
Contributors
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Biophysicist, bioinformatist (b. Moscow, Russia, 1946).
Address: Laboratory of Biomechanical Systems, Mechanical Engineering Research Institute of Russian
Academy of Sciences; Malyi Kharitonievskiy pereulok, 4, Moscow, 101990, Russia. E-mail:
spetoukhov@gmail.com.
Fields of interest: genetics, bioinformatics, biosymmetries, multidimensional numbers, musical harmony,
mathematical crystallography (also history of sciences, oriental medicine).
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7550895/
Algebraic harmony and probabilities in genomes. Long-range coherence in quantum code biology
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