# Prediction of the Neutrino Mass Scale Using Coma Galaxy Cluster Data

## Abstract

**:**

**indeed see**a neutrino mass signal. If this physics drama unfolds, there will be profound implications for cosmology, which are discussed in this paper.

## 1. Introduction—What is at Stake Here

**ultimate sensitivity**(after 5 years data accumulation) of 0.2 eV/c${}^{2}$ for this one neutrino flavor. According to Equation (2), this is a useless effort involving large sums of money, time and human resources, because KATRIN’s sensivity is not sufficient and would be expected to return a null result. Thus KATRIN and PSC have a competition, which is the unfolding physics drama. Recently, KATRIN has published their first data review [4] with the result

## 2. Using Coma Galaxy Cluster Data to Derive the Neutrino Mass Scale

#### 2.1. The Fundamental Equation

- The location of the galaxy is at or near the center of the CNO.
- The measured speed of that galaxy will satisfy the equation$${V}_{measured}^{2}=+{\int}_{0}^{{R}_{0}}\frac{2G{M}_{cno}\left(r\right)}{{r}^{2}}\phantom{\rule{0.277778em}{0ex}}dr,$$

#### 2.2. Experimental Data

## 3. Implications of a KATRIN Neutrino Mass Signal

- The KATRIN terrestrial experiment will have identified Dark Matter as Condensed Neutrino Objects.
- The raw Planck satellite microwave data will have to be re-processed with the neutrino degrees of freedom removed, and in their place, magnetic field degrees of freedom inserted.
- It is expected that the PSC value of the Hubble Constant will be changed.
- With the advent of CNO in the Universe, the dynamics of galaxies embedded in CNO can be studied. That is, the orbits of galaxies embedded in CNO can be computed.
- The section 26 ‘Dark Matter’ in the Review of Particle Physics [14] which describes Dark Matter as a collection of WIMPS, Axions, etc becomes fiction and the hundreds of references it cites become irrelevant.
- It is expected that CNO will greatly influence the evolution of structure in the Early Universe.
- CNO have a maximum mass that their internal pressure can support. Exceeding that mass results in CNO gravitational collapse to colossal Black Holes that greatly perturb the Cosmic Microwave Radiation field around them. This provides an experimental signature for their discovery.

## Funding

## Conflicts of Interest

## References

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**Figure 2.**Approximate location of the CNO center using fastest galaxy GMP = 3176, which has offsets R.A. +0.0579 arc-minutes and Dec −13.465 arc-minutes. The figure background is taken from reference [9], which shows the actual Coma Galaxy Cluster. At a distance of 101.3 Mpc, the 2.191 Mpc CNO radius translates to 74.35 arc-minutes.

**Figure 3.**Spatial variation of the reduced Fermi momentum x for the CNO having boundary value $x\left(0\right)=0.010$. The units of length are 46128.98 pc/${m}_{\nu}^{2}$ with ${m}_{\nu}$ in units of eV/c${}^{2}$.

**Figure 4.**CNO mass density for $x\left(0\right)=0.010$ CNO. The units of mass density are $1.76307\times {10}^{-20}{m}_{\nu}^{4}$ gm/cm${}^{3}$ with ${m}_{\nu}$ in units of eV/c${}^{2}$.

Physical Parameter | Value | Value${\mathit{m}}_{\mathit{\nu}}$ = 0.759 eV/c^{2} |
---|---|---|

CNO (Dark Mass) mass | $\frac{9.809\times {10}^{14}}{{m}_{\nu}^{2}}$ M${}_{\odot}$ | $1.7\times {10}^{15}$ M${}_{\odot}$ |

CNO radius | $\frac{1.2625}{{m}_{\nu}^{2}}$ Mpc | 2.191 Mpc |

CNO center | (J2000) $\alpha $ 12 59 46.28 $\delta $ +27 44 46.1 |

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**MDPI and ACS Style**

Morley, P.D.
Prediction of the Neutrino Mass Scale Using Coma Galaxy Cluster Data. *Symmetry* **2020**, *12*, 1049.
https://doi.org/10.3390/sym12061049

**AMA Style**

Morley PD.
Prediction of the Neutrino Mass Scale Using Coma Galaxy Cluster Data. *Symmetry*. 2020; 12(6):1049.
https://doi.org/10.3390/sym12061049

**Chicago/Turabian Style**

Morley, Peter D.
2020. "Prediction of the Neutrino Mass Scale Using Coma Galaxy Cluster Data" *Symmetry* 12, no. 6: 1049.
https://doi.org/10.3390/sym12061049