https://github.com/quantum-software-development/torus-quantum-magnetic-field
Torus - Quantum Magnetic Field
https://github.com/quantum-software-development/torus-quantum-magnetic-field
Last synced: 12 months ago
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Torus - Quantum Magnetic Field
- Host: GitHub
- URL: https://github.com/quantum-software-development/torus-quantum-magnetic-field
- Owner: Quantum-Software-Development
- License: mit
- Created: 2023-04-21T04:32:40.000Z (about 3 years ago)
- Default Branch: main
- Last Pushed: 2024-07-20T16:53:17.000Z (almost 2 years ago)
- Last Synced: 2024-07-20T17:59:33.690Z (almost 2 years ago)
- Language: Python
- Homepage: https://github.com/Quantum-Software-Development/README
- Size: 456 KB
- Stars: 4
- Watchers: 1
- Forks: 0
- Open Issues: 12
-
Metadata Files:
- Readme: README.md
- Funding: .github/FUNDING.yml
- License: LICENSE
Awesome Lists containing this project
README
##
[π Torus](https://github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field/assets/113218619/09a5178b-6da8-458c-a30c-fb7d6af3c84c) - Quantum Magnetic Field
####
βπ» π³ππππ ππ πππ. πΉππππππ ππππ ππππππππππ ππ πππππππππ
ππ ππππππππππ ππππ. β¨
#####
[Leonardo da Vinci ]()
###
[](https://github.com/sponsors/Quantum-Software-Development)
## Torus [Mathematically Speaking:](https://github.com/Quantum-Software-Development/README/blob/de863aea73ea56558093652acb707ef038f17217/torus_pgfplots_package.tex)
### The torus is a doughnut-shaped surface in three-dimensional space, described by the following parametric equations:
### π Parametric [Equations of a Torus]():
$$\color{DodgerBlue} \large \begin{align*}
x(\theta, \phi) &= (R + r \cos \theta) \cos \phi \\
y(\theta, \phi) &= (R + r \cos \theta) \sin \phi \\
z(\theta, \phi) &= r \sin \theta
\end{align*}$$
```latex
\begin{cases}
x(u,v) = (R + r \cos v) \cos u \\
y(u,v) = (R + r \cos v) \sin u \\
z(u,v) = r \sin v \\
\text{where } u \in [0, 2\pi],\ v \in [0, 2\pi]
\end{cases}
```
### [**Variables:**]():
- $R$: major radius β the distance from the center of the torus to the center of the tube
- $r$: minor radius β the radius of the tube itself
- $u$: angle around the main axis (longitudinal rotation)
- $v$: angle around the tube (cross-sectional rotation)
### ***These equations describe a 3D surface by sweeping a circle of radius $$r$$ around an axis located at a distance $$R$$ from the circle's center***.
You can visualize the torus as a **donut-shaped surface** where:
- The whole shape rotates around the z-axis via $$u$$
- The circular cross-section rotates via $$v$$
***Use these equations in 3D rendering engines, mathematical software, or simulations involving [Toroidall Geometry]()***.
#### β’ Space and Time - Vedic Cosmology - Consciousness - Entropy - Yuga's Cicle - [From Kali Yuga to Satya Yuga (SHIFT)]()
https://github.com/user-attachments/assets/0b3673b6-5fff-40b8-b3ba-2bf0e906f1d2
#### β’β£β’ [Click here](https://youtu.be/C0fer40y5hk?si=euaqW_4iVt2Tbh2h) to watch the full video in high resolution and dive deeper into the study πͺ·
#### β£ Demo : Torus - Quantum Realities - [Teleporting - Space and Time]() π
https://github.com/user-attachments/assets/ac93a6f2-c081-4811-b607-fa0c0c663c20
## [Multimedia Content]()that provides a visual representation of the concepts discussed.
#### β’ [Creation and Dissolution of Torus Energy]()
https://github.com/user-attachments/assets/1313ed1d-e8f6-47d1-a47d-43d20824c0a6
#### β’ [Torus Entanglement Magnectic Field - Consciousness - SpaceTime]()
https://github.com/user-attachments/assets/97c545cc-6a4c-457d-8f78-1d44363a58e6
#### β’ β [Ancient Sacred Geometry from [Quatria](https://github.com/user-attachments/assets/25f9776f-ddb9-4f26-8890-966db6b58b11)
https://github.com/user-attachments/assets/49392ec6-7d5a-4675-b0f2-a67f998c8866
## [Introduction]()
Welcome to the exploration of the Torus and its applications in quantum magnetic fields. This repository is dedicated to understanding the intricate relationship between the toroidal shape and magnetic fields in various contexts, from the microcosmic scale of quantum physics to the macrocosmic scale of astrophysics.
### [***Don't turn around, if the goal is the stars***]().(Leonardo Da Vinci)
## [Important Note]():
We encourage collaboration and discussion on these fascinating topics. If you have any questions or contributions, please feel free to open an issue or submit a pull request.
## [Torus Quantum Magnetic Field]():
The torus is a fundamental shape in the study of quantum magnetic fields. This section delves into the creation and dissolution of a torus energy field, exploring how the toroidal geometry plays a crucial role in magnetic confinement and quantum field theory.
## [Additional Topics]():
- [**Da Vinci's Divine Proportion**](): Investigate the torus in the context of Leonardo da Vinci's studies on divine proportions and its implications in art and science.
β βββ ββ
π βοΈ β
β ββ πΉ βββ ββ
βοΈ Ξ© β
β ββ β
*LΟ RΞΉΙ³Ι ΙΎΞ±Θ₯ΞΉΞ±Ι±Ο DΞ± VΞΉΙ³ΖΞΉ !*
#
### - [**Human Body Magnetic Quantum Field**](): Explore the concept of the human body's magnetic field and its potential toroidal structure.
### - [Entangled Torus Field Dynamics](): The Role of the Heart in Human Bioenergetics
#### **Cognitive and emotional states modulate the heartβs magnetic field, which can in turn influence the energetic state of people nearbyβconsciously or not.**
### - [**Earth Magnetic Field**](): Examine the Earth's magnetic field, which can also be modeled as a torus, and its significance in protecting our planet from solar winds.
## Torus [Code]():
This repository also includes code that demonstrates the generation of a Torus in a programming environment. The code is a practical representation of the parametric equations of the Torus and allows users to visualize and interact with the toroidal shape.
## [Python Code Example to Generate a Torus
]():
```python
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
# Define the parameters for the torus
R = 1 # Major radius
r = 0.4 # Minor radius
# Create a mesh grid for the angles
theta = np.linspace(0, 2 * np.pi, 100)
phi = np.linspace(0, 2 * np.pi, 100)
theta, phi = np.meshgrid(theta, phi)
# Parametric equations for the torus
X = (R + r * np.cos(theta)) * np.cos(phi)
Y = (R + r * np.cos(theta)) * np.sin(phi)
Z = r * np.sin(theta)
# Create the figure and 3D axis
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
# Plot the surface with color mapping
ax.plot_surface(X, Y, Z, rstride=5, cstride=5, cmap='coolwarm', edgecolor='none')
# Set the limits of the plot
ax.set_xlim([-2, 2])
ax.set_ylim([-2, 2])
ax.set_zlim([-2, 2])
# Set the viewpoint
ax.view_init(elev=20, azim=30)
# Show the plot
plt.show()
```
## Code Explanation
The code provided is a Python script that generates a three-dimensional plot of a torus using the matplotlib library.
## Step-by-Step explanation of what each part of the code does:
```python
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
```
These lines import the necessary libraries:
- numpy for numerical operations,
- matplotlib.pyplot for plotting graphs,
- mpl_toolkits.mplot3d for 3D plotting capabilities.
```python
R = 1 # Major radius
r = 0.4 # Minor radius
```
Here, R and r are defined as the major and minor radii of the torus, respectively.
```python
# Defining the parametric equations of the Torus
theta = np.linspace(0, 2 * np.pi, 100)
phi = np.linspace(0, 2 * np.pi, 100)
theta, phi = np.meshgrid(theta, phi)
```
These lines create two arrays theta and phi with values ranging from 0 to (2\pi), which represent the angular parameters of the torus. np.meshgrid is then used to create a 2D grid of these angles.
```python
X = (R + r * np.cos(theta)) * np.cos(phi)
Y = (R + r * np.cos(theta)) * np.sin(phi)
Z = r * np.sin(theta)
```
The parametric equations for the torus are defined here, calculating the (X), (Y), and (Z) coordinates for each point on the torus surface.
```python
# Create the figure and 3D axis
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
```
A new figure is created, and a 3D subplot is added to this figure.
```python
# Plot the surface with color mapping
ax.plot_surface(X, Y, Z, rstride=5, cstride=5, cmap='coolwarm', edgecolor='none')
```
This line plots the surface of the torus. rstride and cstride control the row and column stride, cmap sets the color map, and edgecolor is set to βnoneβ to not draw borders around the surface patches.
```python
# Set the limits of the plot
ax.set_xlim([-2, 2])
ax.set_ylim([-2, 2])
ax.set_zlim([-2, 2])
```
The limits of the (x), (y), and (z) axes are set to range from -2 to 2.
```python
# Set the viewpoint
ax.view_init(elev=20, azim=30)
```
The viewpoint of the plot is set with an elevation of 20 degrees and an azimuth of 30 degrees.
```python
plt.show()
```
Finally, this line displays the following plot.
#
######
[Copyright 2025 Quantum Software Development. Code released under the MIT license.](https://github.com/Quantum-Software-Development/README/blob/161b677c5a791f0ca8219b8e934f1cf353d5b85d/LICENSE)