Elementary particles are the fundamental objects of quantum field theory and are classified according to their spin and energy. The Standard Model of particle physics is the theory describing three of the four known fundamental forces (the electromagnetic, weak, and strong interactions, and not including the gravitational force) in the universe, as well as classifying elementary particles. This model is based on quantizing classical fields, like electromagnetic fields, realizing that particles basically just emerge from excitations of these fields. For example these excitations have been mathematically modelled as an infinite system of coupled quantum harmonic oscillators and the characteristic energy spectrum is given by a ladder of evenly spaced energy levels, and each level in the ladder is identified by a number n, and the number of levels is infinite [1] . The masses of fundamental elementary particles have been calculated using the equation m/m_electron = N/2α, where α is a coupling constant of quantum electrodynamics, but N is an arbitrary chosen integer variable [2] . A theoretical model considers particles as electromagnetic volume resonators, capable of holding electromagnetic waves of certain frequencies, based on resonance conditions for (self-acting) nonlinear electromagnetic waves, according to de Broglie waves [3] . Although the Standard Model is believed to be theoretically self-consistent and has demonstrated successes in providing experimental predictions, it leaves some phenomena unexplained. All masses of the elementary particles are still free parameters in the Standard model, all resulting from experimental results, and a physical formula for masses of elementary particles is not yet available.

In our previous studies, a novel biophysical principle was revealed, describing an algorithm for coherent and non-coherent electromagnetic (EM) frequencies, called the GM-scale [4] [5] [6] . The particular frequency bands are scaled by an Pythagorean calculation, based on information distribution according to ratios of 2:3 in 1:2. The particular scale exhibits a core pattern of twelve eigenfrequency functions with adjacent self-similar (fractal) patterns, according to octave hierarchy. A meta-analysis on EPR-experiments learned that entanglement, achieved in continuous variable experiments is real, and can be calculated at coherent configurations of determinate EM frequencies [6] .

All analysed EPR-data of the independent studies fit precisely in this derived GM-scale of coherent frequency data and turned out to be virtually congruent with the above mentioned coherent scale. A same congruence may be at stake for the distribution of masses of elementary particles by making use of the Planck-Einstein relationship:

M ⋅ c 2 = h ⋅ ν

Both observations of previous EPR and biological data support the idea that the energy in quantum systems can be interpreted classically, in line with recent proposals of t’Hooft, 2016, and Dolce, 2016 on the basis of periodicity of limit cycles and cyclic periodicity of space-time. The latter indicates a deterministic framework of discrete frequencies that provides a causal interpretation of quantum physics. It is postulated that:

The masses of the elementary particles can be based on fixed physical parameters, due to the fact that mass is related to the Einstein-Planck relationship and a frequency scale calculated by a discrete coherent Pythagorean function: the GM-scale.

A mathematical basis for a spectrum of discrete coherent electromagnetic (EM) frequencies was recently derived based upon research carried out for solitons. Solitons are self-reinforcing solitary waves, that interact with complex biological phenomena such as cellular self-organization and waves in thin membranes [4] [5] [6] . The soliton model is able to describe a spectrum of electromagnetism modalities that can be applied to understand the physical principles of biological effects in living cells, as caused by endogenous and exogenous electromagnetic fields and is compatible with quantum coherence [4] . It has been found that that the first, second, and third harmonics of waves can be united within a broad range of frequencies from sub Hertz till about 10²⁵ Hz by dividing 2:3 ratios and approximations thereof over 1:2 ratios. The spectrum of these ratios is based upon an adapted Pythagorean calculation and at this manner scales have been derived showing coherent patterns of numbers that contain a core of twelve functions that can be expressed as: 2⁰3⁰2^m, 2⁸3⁻⁵2^m, 2⁻³3²2^m, 2⁵3⁻³2^m, 2⁻⁶3⁴2^m, 2²3⁻¹2^m, 2^0.52^m, 2⁻¹3¹2^m, 2⁷3⁻⁴2^m, 2⁻⁴3³2^m, 2⁴3⁻²2^m, 2⁻⁷3⁵2^m, in which m are integers [5] . The scale has been translated to Hz-frequencies for a broad range of adjacent frequency spectra for integer values of m, of which m are integers, and ranges from the lowest till the highest possible frequency present in nature (Figure 1, Table 1 and Appendix 3).

A non-coherent-scale could be calculated based upon the finding that non-coherent parameters are located logarithmically just in between the coherent parameters of the 12-number scales. The derived arithmetical scales exhibit sequences of unique products of integer powers of 2, 3 and a factor 2 and contains about 1500 different determinate frequency data for ordered data and more than 1500 different numbers for disordered data in a fractal setting in both biological data, see Figure 1, and in inanimate systems. A correlation between the proposed coherent scale and the “hidden variables” as described in the theory of David Bohm has been found [6] .

Three considerations were the starting point for the search to for a deterministic quantum wave approach 1) the idea of Einstein that quantum randomness is not the determinant of the fabric of reality, 2) the conclusion of Schrödinger that