**2.2 The evidences for the theoretical arguments**

5G sideband waves are background carrier wave which in the nonlinearity yields to the relevant instabilities. The description of instabilities in optics as rogue waves is recent, however, first used in 2007 when shot-to-shot measurements of fiber supercontinuum (SC) spectra by Solli *et al.* yielded long-tailed histograms for intensity fluctuations at long wavelengths [37].

On the modulation instability of the 5G media, however the 5G monochromatic waves do not directly affect the cells but producing extremely low frequency envelope impulses which are enable to influence into the cells. The scale invariance in the deep saturation nonlinearity according to the Eq. (2) yields to the answer as the full family of the self-similar solutions (intensity in the term j j *φ* 2 ) that

$$\left|\left|\rho\right|^2 = \sum\_{n=0}^{+\infty} \left|\varepsilon^{-n}\rho\left(\varepsilon^n\xi, \varepsilon^{2n}\tau\right)\right|^2\tag{5}$$

Very short period waves are neglected actually and very long waves are trivial in short time (in the scale of lesser than several years) and then actually we can consider a solution as a suit of four consequent envelopes from the Eq. (5) in series of *n* ¼ f g 0, 1, 2, 3 .

The time *τ* is free scale mathematically and we can rescale *τ* þ *π=*2 ! *τ* ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi <sup>8</sup>*a*ð Þ <sup>2</sup>*<sup>a</sup>* � <sup>1</sup> <sup>p</sup> . We assume arbitrary the frame center at point *<sup>ξ</sup>* <sup>¼</sup> 0 and then by the Eqs. (4), (5) we deduce for *n* ¼ f g 0, 1, 2, 3 , an actual answer as follows

$$\begin{split} \left| \left| \boldsymbol{\varrho} \right|^{2} = \left| \boldsymbol{\varepsilon}^{-3} \right| \frac{2(2a - 1)\sin\left(\boldsymbol{\varepsilon}^{6}\boldsymbol{\tau} \right)}{\sqrt{2a} - \sin\left(\boldsymbol{\varepsilon}^{6}\boldsymbol{\tau} \right)} \right| + \boldsymbol{\varepsilon}^{-2} \left| \frac{2(2a - 1)\sin\left(\boldsymbol{\varepsilon}^{4}\boldsymbol{\tau} \right)}{\sqrt{2a} - \sin\left(\boldsymbol{\varepsilon}^{4}\boldsymbol{\tau} \right)} \right| + \boldsymbol{\varepsilon}^{-1} \left| \frac{2(2a - 1)\sin\left(\boldsymbol{\varepsilon}^{2}\boldsymbol{\tau} \right)}{\sqrt{2a} - \sin\left(\boldsymbol{\varepsilon}^{2}\boldsymbol{\tau} \right)} \right| \\ + \left| \frac{2(2a - 1)\sin\left(\boldsymbol{\varepsilon} \right)}{\sqrt{2a} - \sin\left(\boldsymbol{\varepsilon} \right)} \right|^{2} \end{split} \tag{6}$$

#### **Figure 1.**

*Theoretical wave (self-similar corona-like) solution of covid-19 infection pattern for a* ¼ 1, *ε* ¼ 1*=*4, *kI* ¼ 1*=*5 *driven by the Eqs. (6), (7).*

*Deep Saturation Nonlinearity of 5G Media and Potential Link to Covid-19 DOI: http://dx.doi.org/10.5772/intechopen.98826*

If corona virus infection cases per time symbolized here by *nI* relates to 5G wave's breather amplitude j j *φ* 2 , thus there should be exist a coefficient *kI* to correlate the intensity of 5G perturbation envelopes to the infection of the corona virus as

$$m\_I = k\_I |\rho|^2 \tag{7}$$

The infection cases per time interval symbolized here with *nI* in unit K (cases/ time) is drawn on the Eqs. (6), (7) in **Figure 1** with the best fit in *ε* ¼ 1*=*4, a = 1, kI = 1/5 (K in vertical axis and time in horizontal axis in the radians scale). Transferring the time from radians to the date, the wave pattern matches nicely with covid-19 infection pattern reported by live such as www.worldometers.info. The domain and time scales of the wave envelopes match with covid-19 infection pattern as compared in the **Figure 2**.

*Covid-19 infection pattern to date (below diagram) compared to 5G perturbation pulses in the time scaled with radians (above diagram).*

The corona virus is transmitted by human to human biologically and thus, the biologic spreader effect moderates extremes of the physical waves. For example if the antennas do not work for a short time, still the covid-19 is continued for moderation of the biological effects. Of course deviation from the physical source will appear along the time. In reality the 5G internet media includes the antennas distributed in the earth and thus, the phase of the perturbation envelopes can vary by changes in the antennas.

By the way via comparing the covid-19 infection diagram with the wave solution Eq. (6) along the year 2020, still the covid-19 is matched with the Kuznetsov-Ma wave solution of the NLSE both in the phase and shape of the wave. We have drawn the pure wave solution (above diagram in the **Figure 2**.) without moderation of the extremes and then difference in the intensity between the diagrams of the wave solution and covid-19 infection pattern is natural. In reality the above diagram in the **Figure 2** which is for Kuznetsov-Ma breather should be moderated to fit in the intensity with below diagram in the **Figure 2** which is for covid-19 infection cases. The 5G injection effect of the parasite pulses in the cells does not depend to the cases-age but deaths per time interval symbolized here by *nD* depends to the

**Figure 3.**

*Covid-19 death cases pattern (below diagram which is copied from online corona-meter web) compared with the ϕ*<sup>2</sup> *from Eq. (6).*

*Deep Saturation Nonlinearity of 5G Media and Potential Link to Covid-19 DOI: http://dx.doi.org/10.5772/intechopen.98826*

cases-age. The index *nD=nI* is larger for elders. The population of elder cases is decreased proportionally along the time and then the index *nD=nI* is flattening rapidly to asymptotic size � 0*:*02. We find numerically a function for damping effect of the index *nD=nI* as follows

$$n\_D/n\_I = \left[0.02 + \frac{\text{"1}}{\text{1} + 0.3\tau + 0.005\tau^2}\right] \tag{8}$$

An initial shock wave is observed for death cases in onset of the covid-19 pandemic which is flattening asymptotically to the normal size. This is matched with daily deaths observed in covid-19 (**Figure 3**).

The wireless antennas have potential to transfer the earth to the nonlinear media as the source of extremely low frequency (ELF) electromagnetic envelopes (Trojan horse) affecting the cells, disordering the genome and damaging the species which may be visible in the next generations the more.
