# Possible Effects of the Fractal Distribution of Relic Wormholes

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## Abstract

**:**

## 1. Introduction

## 2. Stable Wormholes and Factorization of the Open Model

#### 2.1. Factorization of the Open Friedman Model

#### 2.2. Stability of Wormholes

## 3. Fractal Distribution of Wormholes and Modification of Newton’s Law

## 4. Concluding Remarks

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**(

**a**) The Lobachevsky plane. Dashed lines give the polar frame. The stripe between the two geodesic lines $r=1/R$ and $r=R$ corresponds to the wormhole region. Regions below red dashed geodesics (semi-circles) correspond to two unrestricted Lobschevsky spaces ${E}_{\pm}$. The point $y=i$ corresponds to the center point of the wormhole throat ($\chi =0$). The line $y=0$ corresponds to infinity $\chi \to \infty $ for the plane. (

**b**) The same plane in coordinates $w=r{e}^{i\theta}$, where $r=tanh\frac{\chi}{2}$.

**Figure 2.**(

**a**) The form of a throat as it is seen on sky in the open model. It represents the colored curved rectangle. Regions behind the circles are copies of the physical region. All additional images lay within the circles. (

**b**) The form of the throat as it is seen in flat models upon the deformation of the metric from the negative curvature space. The throat has the torus-like form and only part of the throat surface is seen. Additional images lay inside the surface of the torus.

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**MDPI and ACS Style**

Kirillov, A.A.; Savelova, E.P.; Vladykina, P.O.
Possible Effects of the Fractal Distribution of Relic Wormholes. *Universe* **2021**, *7*, 178.
https://doi.org/10.3390/universe7060178

**AMA Style**

Kirillov AA, Savelova EP, Vladykina PO.
Possible Effects of the Fractal Distribution of Relic Wormholes. *Universe*. 2021; 7(6):178.
https://doi.org/10.3390/universe7060178

**Chicago/Turabian Style**

Kirillov, Alexander A., Elena P. Savelova, and Polina O. Vladykina.
2021. "Possible Effects of the Fractal Distribution of Relic Wormholes" *Universe* 7, no. 6: 178.
https://doi.org/10.3390/universe7060178