A Semi-Harmonic Frequency Pattern Organizes Local and Non-Local States by Quantum Entanglement in both EPR-Studies and Life Systems

A novel biophysical principle: the GM-model was revealed, describing an algorithm for coherent and non-coherent electromagnetic (EM) frequencies that either sustain or deteriorate life conditions. The particular frequency bands could be mathematically positioned on a Pythagorean scale, 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 patterns, according to octave hierarchy. In view of the current interest in coherency and entanglement in quantum biology, in the present paper, we report on a meta-analysis of 60 papers in physics that deal with the influence of electromagnetic frequencies on the promotion of entangled states in, so called, EPR experiments. Einstein, Podolsky and Rosen originated the EPR-correlation thought experiment for quantum-entangled particles, in which particles are supposed to react as one body. The meta-analyses of the EPR-experiments learned that entanglement, achieved in the experiments is real, and applied frequencies are located at discrete coherent configurations. Strikingly, all analysed EPR-data of the independent studies fit precisely in the derived scale of coherent frequency data and turned out to be virtually congruent with the above mentioned semi-harmonic EM-scale for living organisms. This implies that the same discrete coherent frequency pattern of EM quantum waves that determine local and non-local states is also applicable to biological order and that quantum entanglement is a prerequisite for life. The study may indicate that the implicate order of pilot-wave steering system, earlier postulated by David Bohm is composed of discrete entangled EM wave modalities, related to a pervading zero-point energy information field. How to cite this paper: Geesink, H.J.H. and Meijer, D.K.F. (2018) A Semi-Harmonic Frequency Pattern Organizes Local and Non-Local States by Quantum Entanglement in both EPR-Studies and Life Systems. Journal of Modern Physics, 9, 898-924. https://doi.org/10.4236/jmp.2018.95056 Received: February 15, 2018 Accepted: April 8, 2018 Published: April 11, 2018 Copyright © 2018 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/


Introduction
Coherent and non-coherent scales of EM frequencies were earlier revealed by us in biological systems (see Figure 1). Living organisms are influenced by patterns of electromagnetic wave fields that promote biological order [1] [2] [3] and Appendices 3, 4, 5, 6. These frequency data were shown to comply with a semi-harmonic algorithm and separation of the apparent frequency bands in the meta-analysis was found to be statistically significant. It was assumed that the particular EM frequencies, either separate or in various combinations, induce a set of collective Fröhlich condensate states that are essential for life. of two prebiotic kernels in the system by appearance of two additional quantum entangled excited states, will lead to faster growth and self-replication of minimal living cells [12]. Self-assembling of photoactive prebiotic systems with observed quantum entanglement phenomena have been modelled [13] [14] [15].

The Quantum-Biological Basis for Coherent and Non-Coherent EM Frequencies Scaling
In relation to this, there is biological evidence for the studies of Fröhlich in 1968, showing that living cells employ coherent waves, called solitons for constructive interference with electromagnetic fields [4] [5]. Fröhlich inferred that biological orderings principles employ boson-like quasi-particles in biological processes, similar to condensed inorganic matter. Bose-Einstein condensation, in this manner, may serve as a method for energy storage as well as for channelling energy to specific bioprocesses such as cell division and macromolecule synthesis. A previous meta-analysis of more than 500 biomedical publications showed that the particular EM frequency data revealed typical coherent life-sustaining and non-coherent life-decaying electromagnetic frequency effects.
The theoretical background of the found regularities of patterns is that nature evidently organizes its components at a highly coherent semi-harmonic like way combined with energy minimization [1] [3]. But also non-coherent patterns were revealed, that show life-decaying electromagnetic frequency effects. The underlying coherent mechanism is considered to be instrumental in the unification of first, second, and third harmonics, within a broad range of frequencies from sub Hertz till PHz for living cells.
A mathematical basis for a spectrum of discrete coherent electromagnetic (EM) frequencies was recently derived based upon research carried out for solitons [3]. Solitons are self-reinforcing solitary waves that interact with complex biological phenomena such as cellular self-organization. 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 [1]. 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 10 25 Hz by dividing 2:3 ratios and approximations thereof over 1:2 ratios [3]. The spectrum of these ratios is based upon an adapted Pythagorean calculation and at this manner scales can be derived showing coherent patterns of numbers that contain a core of twelve functions that can be expressed as: 2 0 3 0 2 m , 2 8 3 −5 2 m , 2 −3 3 2 2 m , 2 5 3 −3 2 m , 2 −6 3 4 2 m , 2 2 3 −1 2 m , 2 0.5 2 m , 2 −1 3 1 2 m , 2 7 3 −4 2 m , 2 −4 3 3 2 m , 2 4 3 −2 2 m , 2 −7 3 5 2 m , in which m are integers [3]. 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 range from the lowest till the highest possible frequency present in nature (see Table 1).
As mentioned above, in addition, 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. A correlation between the proposed coherent scale and the "hidden variables" as described in the theory of David Bohm may be at stake (see Section 6).

De Broglie
In 1924, Louis de Broglie argued that if photons, with their wavelike properties, could be described as particles, then electrons as particles should show wave like properties with a wavelength λ, inversely proportional to their momentum (p = m e v): λ = h/p (massive particle m e , velocity v, momentum p, Planck constant h).
This relationship is now known to hold for all types of matter: all matter exhibits properties of both particles and waves. In his theory, particle motions are determined by a wave function, that de Broglie called a "pilot wave''. For a many-body system, the pilot wave propagates in a multidimensional "configuration space", which is constructed from the co-ordinates of all the particles involved.

Einstein-Podolsky-Rosen argument
Einstein, Podolsky and Rosen, in 1935, originated the so-called Einstein-Podolsky-Rosen (EPR) correlation for quantum-entangled particles [19]. Two particles are entangled if the quantum states of the particles are coupled. In such a case, quantum entangled particles seem to react as a single body; there seems to be no separation in space and time. In order for this to occur, it requires that the communication between the two particles is instantaneous. In the Einstein-Podolsky-Roosen thought experiment, Einstein attempted to show the incompleteness of QM and tried to disprove the proposal of non-locality of quantum entangled particles, and stated that quantum science apparently must be incomplete. Therefore he came up with an alternative of "local hidden variables". He stated that indeterminacy makes quantum theory a discontinuous and a rather statistical theory. Yet, he wanted physics to be a continuous field theory, in which all physical variables are completely and possibly locally determined by a four-dimensional field of space-time in his theory of relativity [20]. The EPR-paradox continues to fascinate also those scientists that believe that quantum indeterminacy does exist. Most published investigations related to EPR have centered the past 50 years around the testing of Bell's theorem [21], and used more stringent tests dealing with different sets of measurements. The experimental tests of Bell's inequalities have now evolved closer to the ideal EPR scheme, and experimental realizations provided a way to demonstrate a type of entanglement inextricably connected with quantum non-locality [22].

David Bohm's Interpretation of Quantum Mechanics
The Bohmian interpretation of quantum mechanics was introduced in 1952, and later called the ontological interpretation, generally seen as an alternative to the standard Copenhagen interpretation. Bohm proposed an interpretation of the quantum mechanics that is nonlocal, causal, and does not treat systems and measuring apparatus differently [23] [24] [25]. Although rejected by many, since the 1990s the interest in Bohmian mechanics has been remarkably increased, and is more considered as a computational and interpretive working tool according to Sanz [26]. Bohm's interpretation of quantum physics grew out of into a major search into model based on the assumption of hidden variables. The concept is based on the principle that the state of the particles is affected by a field, which guides the motion of the particles. De Broglie called this the pilot wave, while the quantum potential is derived from the ψ-field. Mathematically, the field corresponds to the wave-function of quantum mechanics, and therefore evolves according to the Schrödinger equation in which the positions of the particles do not affect the wave function [26]. The latter aspect was reconsidered in the later work of Holland, 1996 and Valentini, 2012 [27] [28]. The de Broglie-Bohm theory, in fact is an interpretation of non-relativistic quantum theory that postulates an actual configuration, that exists even when unobserved. The quantum potential approach [11] provides a more complete exposition of the idea presented by Louis de Broglie, who postulated in 1926 that the wave function represents a pilot wave which guides a quantum particle.
All physical observables in this model are represented by linear operators operating on the state vectors in the Hilbert space, the eigenvalues of such operators are real numbers and any measurement of an observable results in getting one of its eigenvalues [29]. The actual positions of the particles evolve according to the "guiding equation", which expresses the configuration of a system of particles evolving via a deterministic motion, as choreographed by the wave function include the velocities. The trajectories of the particles are quite different from those of classical particles, because they are guided by the wave function and the evolution of the position x and momentum k x of a single photon has a mathematical correspondence with the quantum theory of a non-relativistic particle of mass 2 m c ω =  and momentum [16]. The effect of the Quantum Potential on the electron depends on its form and Bohm redefined the term in-formation. The term quantum potential, indeed, is an informational effect shared by the surroundings particles/waves and depends on its form/shape and is derived from the ψ-field [23] [25]. So Bohm's quantum field theory model postulates determinate values of the electromagnetic field operators, in line with Bell [30] who, in his quantum field theory model, postulated determinate values of the fermion number operators.
In the Copenhagen interpretation, that is, the most widely used interpretation of quantum mechanics, the Born rule: defines that ρ, the probability density function of a particle equals the absolute square of the wave function Ψ and this interpretation constitutes one of the fundamental axioms of the current quantum theory. This is not the case for the De Broglie-Bohm theory, where the Born rule is not a basic law. Rather, in this theory the link between the probability density and the wave function has the status of a hypothesis, called a quantum equilibrium, which is additional to the basic principles governing the wave function, being the dynamics of the quantum particles and the Schrödinger equation, see equations 1 and [27]. When a quantum equilibrium exists also a quantum non-equilibrium should be considered. The existence of both quantum equilibrium and non-equilibrium states has not yet been verified experimentally; also quantum non-equilibrium is so far a theoretical construct. The relevance of quantum non-equilibrium states to physics lies in the fact that this can lead to quite different predictions for results of experiments, depending on whether the De Broglie-Bohm theory or the Copenhagen interpretation is assumed to describe reality [31]. The causal interpretation of quantum mechanics was extended later on by Bohm, Vigier, Hiley, Valentini [28] and others to include stochastic properties.
As mentioned above, it is not yet known what is the nature of the Quantum Equilibrium is and how such an equilibrium is reached [32]. The quantum equilibrium and the pilot-wave structure may reflect a non-local hidden variable in a causal interpretation of quantum mechanics. Elementary Cycles Theory (ECT) of Dolce postulates that every elementary "particle" of nature is characterized by persistent intrinsic space-time periodicity [33]. In ECT the Planck energy spectrum is interpreted as an harmonic spectrum of a massless periodic phenomenon of fundamental time periodicity T (quantized energy: n E n n T ω = =   , discretized angular frequencies: nω, and time periodicity T = h/E) [33]. According to 't Hooft, it is assumed that a theory describing our world starts with postulating the existence of sub-systems that in a first approximation evolve independently, and then are assumed to interact. It is suspected that our world can be understood by starting from a pre-quantized classical, or "ontological" system. If time would be assumed to be discrete, the Hamiltonian eigenvalues would turn out to be periodic [34] [35]. Both theories favor a quasi-classical and quantum ontological interpretation of quantum physics, as in a primary form earlier suggested by David Bohm and may open the way to reconcile quantum mechanics and relativity theories.

Bell's Theorem
John Bell in theory proved that the supposed non-local effect of quantum-entangled particles was probably real, and this became known as Bell's theorem or inequality.

History of Experimental EPR Realizations
EPR and Bell's theorem have motivated researchers to improve the theory of quantum mechanics. Schrödinger pointed out that the EPR two-particle wave function does not represent the separable form but rather of the entangled form [37]. Experiments carried out to test Bell's inequality during eight decades, therefore, have led to a re-examination of the concepts of quantum mechanics, and revealed the importance of the notion of entanglement and non-locality [22].  Figure 2.
The EPR paradox implying entanglement has been expressed at a "Degree of Inseparability" of <1 and more pronounced at <0.5 according to Duan's criterion [46].

Quantum Equilibrium and Entangled States
Entangled photons can be considered as an inseparable system, and entanglement may be interpreted as a correlation between modes of the electromagnetic field. Entanglement between two light beams has been observed spanning an octave, or 1.5 octave or different parametric ratios in optical frequency [48] [49]   of EPR-frequencies can be observed (see Figure 3). Interestingly, the particular 81 independent EPR-data at MHz-, GHz-and PHz-frequencies, fit precisely in

Main Conclusions of the Semi-Harmonic Electromagnetic Frequency Pattern/EPR Literature Meta-Analyses
An analogy with the vision of Schrödinger has been found: when you perform a Schrödinger cat experiment, and observe the superposed system, than the outcome of the cat will either be alive or be dead, but never in between. All discrete The found rule likely stands for locality as well as for non-locality events.
When the proposed algorithm of coherent frequencies is valid for both systems: 1) quantum entanglement of inanimate condensed matter, and 2) eigenfrequencies of living cells, than it may be concluded that living cells are coupled by quantum entanglement, and therefore may intrinsically show a behaviour of non-locality and entangled states. and was proposed to provide a solution for the realization of quantum entanglement between two or more wave/particles, without the necessity of information exchange at speeds exceeding the generally assumed maximal speed of light [59] [63] [68].

Potential Physical Mechanism for Quantum Entanglement
According to Setterfield, 2017 In Quantum Electro-Dynamics, or QED physics, a sub-atomic particle's position and momentum are claimed to be indeterminate until actually measured, according to the reigning Copenhagen interpretation [69] [70]. Furthermore, QED physics claims that the result of taking any physical measurement is to collapse the particle from its previous uncertainty into a state in which the measured property appears instantaneously. In Stochastic Electro-Dynamics, or SED physics, the established quantum uncertainty is caused through the battering of subatomic particles by the impacting electromagnetic fields and waves of the Zero Point Energy (ZPE) which are intrinsic to the vacuum. These impacting waves cause the particle to execute a "jitter-motion" (technically called the Zitterbewegung). For an electron, there are over 10 20 impacts per second by these ZPE waves.
Indeed, it has been demonstrated by SED physicists that many quantum phenomena can be described intuitively by classical physics when the action of the ZPE is added in [70]. Furthermore, as it was formulated in Planck's second paper, published in 1911, Planck's constant, h, may be not only a measure of the quantum uncertainty, but may be also a measure of the strength of the ZPE; the two are intimately connected. The situation with what has been called "quantum entanglement" may be another case where SED physics has an intuitive answer that has eluded QED physicists. Quantum entanglement has been described in this fashion: "Quantum entanglement is a physical phenomenon that occurs when pairs or groups of subatomic particles are generated or interact in ways such that the quantum characteristics of each particle cannot be described independently-instead, a quantum state can be given for the system as a whole. Measurements of physical properties such as position, momentum, spin, polarization and so on that are performed on entangled particles are found to be appropriately correlated".
The problem that arises for QED physics is that, before the measurement is made, the spin (or whatever property is being considered) is indefinite by the uncertainty principle. However, if a measurement is made on either of the entangled particles, it not only collapses the state of the particle being measured, but so (also instantaneously) does that of its companion particle, no matter how far away that particle has gone. The outcome of the measurement process is considered to be random, with each possibility having an equal probability. These concepts result in the problem of how one particle instantaneously "knows" what has happened to the other particle. SED physics may provide an answer to this dilemma: the entangled particles in question really implicitly will have this correlated property in advance of observation. This approach became known as the "hidden variables theory". Furthermore, Bell's treatment of the problem faced by the EPR approach is also insufficient because it, too, ignores the action of a real ZPE. Therefore, Bell's inequality is not a sufficient reason to reject the proposition that entangled particles already possess their physical characteristics from the beginning. In summary, then, it may be stated that particle entanglement is real and that measurement reveals that they have appropriately correlated quantities. The QED physicist claims that the particles properties do not start off correlated, but once a measurement is made on one particle, this forces the other particle to assume the correlated property no matter where that particle may be. This leads to the dilemma of particles signaling each other faster than light. Yet, the problem of particles signaling to each other faster than light is clearly eliminated by the SED approach. In other words: wave/particles by definition share information in the ZPE field and the interconnectedness is related to the wholeness of the entire quantum system, as being part of the supposed universal wave function. As mentioned above, the latter may act on an universal scale and instantaneously through the network of Einstein-Rosen bridges and entanglement can be viewed upon as a basic natural process [71].

Entanglement Due to a Universal Wormhole Structure of Spacetime
We considered earlier that geodesic or toroidal nested geometries may play a role in electromagnetic communication in animate and inanimate systems [3]. It has been recently suggested that wormhole structures, inherently present in toroidal geometry, may be more optimal than regularly spaced Platonic geometries to realize a further robustness of EPR-steering [40], and explain the instantaneous correlations observed on EPR-experimentation. It is even considered that spacetime itself should be explained on the basis of quantum entanglement [72] [73] [74].

Relation with the Present GM-Model Hypothesis
It can be concluded that de Broglie/Bohm's interpretation of quantum mechanics, that is nonlocal, causal, and based upon determinate values, is compatible with our proposed spectrum of determinate (discrete) and coherent electromagnetic frequencies. Also non-equilibrium values seem to exist in view of the observation that distinct frequencies are precisely located logarithmically just in between the coherent frequency bands, see Figure 1. The proposals of 't Hooft [34] [35] and Dolce [33] that the energy in quantum system should be envi-sioned in terms of a periodicity of the limit cycles and/or as cycling periodicity space time units, also provided a causal and deterministic framework in which entangled particles can be seen as being steered by hidden variables. If Bohm's Deterministic Quantum Equilibrium can be described by the proposed coherent frequency scale than different aspects for condensed matter should be valid: -Condensed matter is able to perform at non-local conditions, if the emitted electromagnetic frequencies (from atmospheric conditions or, in our study, from experimental origin), obey to the pattern of the proposed coherent frequency scale. Due to the permanent presence of a plethora of electromagnetic wave interactions any wave/particle will be accompanied by a distinct steering pilot wave and the resulting superposition will at least result in a degree of mesotropic entanglement that is expressed throughout the universe.
-The most optimum interaction with an entangled non-local field might be expected if the emitted frequencies are precisely located at all of the 12 basic frequencies over the broad frequency range, but preferably in an entangled state. These will probably be more effective when these frequencies are at the Tera-Hertz range, in which also the photon and electron frequencies are found.
-The GM-model may be able to calculate both elementary particles masses and zero-point energies of elements.

Final Conclusion
The former papers discussed: 1) the mathematical structure for electromagnetic frequencies that may reflect pilot waves of Bohm's Implicate Order, and 2)

Conflicts of Interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.