Abstract

The mathematical basis for the earlier reported spectrum of discrete electromagnetic field (EMF) frequencies that were shown to affect health and disease is substantiated and generalized in the present paper. The particular EMF pattern was revealed by a meta-analysis of, now, more than 500 biomedical publications that reported life-sustaining as well as life-decaying EMF frequencies. These discrete eigenfrequency values can be related to supposed bio-resonance of solitons or polaron quasi particles in life systems. Bio-solitons are conceived as self-reinforcing solitary waves that are constituting local fields, being involved in intracellular geometric ordering and patterning, as well as in intra- and inter-cellular signalling. Literature search, revealed very similar frequency patterns for wave resonances of nucleotides in aqueous solution, for a candidate RNA-catalyst, as well as for sound-induced vibrations evoked in thin vibrating membranes. This collective evidence points at a generalized biophysical algorithm underlying complexity in nature, evidently manifest in both animate and non-animate modalities. The detected EMF eigenfrequencies could be arithmetically scaled according to an adapted Pythagorean tuning. The mathematical analysis shows that the derived arithmetical scale exhibits a sequence of unique products of integer powers of 2, 3 and a factor . This generalized semi-harmonic frequency spectrum may reflect a discrete pilot-wave structure that can be interpreted as a, so called, hidden variable in Bohm’s causal interpretation of quantum field theory.

Highlights

  • Why does mathematics exhibit such effectiveness in describing the physical world [1]? In general, the question should be asked whether reality that we as humans observe, has a priory physical structure or it means that physicists have increasingly been able to make mathematical sense of the material world

  • A mathematical eigenfrequency model is proposed after analysing the biophysical experiments in the framework of electromagnetic pulses in and on living cells related to discovered intervals that approach ratios of 2:3 [10] [11]

  • The coherence promoting scale of frequencies has been mathematical calculated and biologically verified for 12 × 54 = 648 different frequency in Hertz detected in living cells, nucleotides, a candidate RNA-catalyst, a thin vibrating membrane and presumably in the genetic code

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Summary

Introduction

Why does mathematics exhibit such effectiveness in describing the physical world [1]? In general, the question should be asked whether reality that we as humans observe, has a priory physical structure or it means that physicists have increasingly been able to make mathematical sense of the material world. The particular effects were exerted by a range of electromagnetic wave eigen-frequencies of one-tenth of a Hertz till Peta Hertz that clearly show a pattern of twelve EM frequency bands, that is, if positioned on an acoustic-like frequency scale This algorithm showed to be applicable over a much broader frequency window, being distributed over multiple scales and could be based on the ancient knowledge of Pythagoras, which intervenes: ratios of frequencies ordered at 2:3 are approaching harmonic like properties. Philolaus in his time conceived harmony as constructed according to a number ratio scale, as was considered by Pythagoreans, and later by Plato. First of all a description is given of Philolaus’ and Plato’s work made by Huffman, McKay and McKirahan [12] [13] [14] [15] and will be discussed in the session

Philolaus and Plato
Quantum Mechanics
A 12-Number Scale
Conclusion
Calculation of the Proposed 12-Number Scale Proposed in the Present Study
In Summary
General Conclusions of the Present Study
Final Considerations
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