Mathematical Model for Gravitational Wave Emissions from Colliding Black Eyes in Galactic Centers

Written with the help of ChatGPT — check it out!

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I am proposing that Black Holes are in reality Black Eyes, meaning that the centers of galaxies contain the synergistic gravitational outcome of enromous depressions; no mass involved other than all the masses circling the Black Eye.

I was asked to present a mathematical model and I decided to ask ChatGPT to help me out. I did not modify the reply shown below.

The assignment I gave was as follows:

• Create a mathematical model, and include empirical verification using the known gravitational wave actions we see when the centers of two galaxies collide (establishing one larger galaxy), and have this mathematical model be based on two Black Eyes colliding (meaning, the galactic centers do not have any mass at all in the center spot but are rather a synergistic gravitational depression located in the center of each Black Eye). Do not write anything about Black Holes other than a quick explanation how Black Holes (invisible mass in the center) differ from Black Eyes (no mass at all, gravitational depression. Focus on the mathematical model.

Will you please review, and reply what is not yet sufficient to make this stand on its own feet yet?

Thank you.

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Introduction

Black holes and black eyes represent distinct phenomena in the universe, characterized by their gravitational effects. Black holes are massive objects with an invisible mass concentrated at their centers, leading to the curvature of spacetime and the emission of gravitational waves when they collide. On the other hand, black eyes are theoretical regions of spacetime exhibiting synergistic gravitational depressions but lack a central mass. In this mathematical model, we will explore the possibility of gravitational wave emissions resulting from the collision of two black eyes at the centers of galaxies, using empirical verification from known gravitational wave actions observed during galactic mergers.

Mathematical Model

1. Spacetime Curvature in Black Eyes:
2. In this model, we consider two black eyes, denoted as Black Eye 1 (BE1) and Black Eye 2 (BE2), located at the centers of galaxies A and B, respectively. The spacetime around each black eye is assumed to exhibit gravitational depressions, leading to localized spacetime curvature. This curvature can be represented mathematically using the Einstein field equations of general relativity:
3. Rμν — 1/2 Rgμν = 8πG/c⁴ * Tμν
4. where Rμν is the Ricci tensor, R is the scalar curvature, gμν is the metric tensor, G is the gravitational constant, c is the speed of light, and Tμν represents the stress-energy tensor associated with the gravitational depressions in each black eye.
5. Gravitational Interaction between Black Eyes:
6. As BE1 and BE2 approach each other due to the gravitational attraction, their respective gravitational depressions interact, leading to an amplification of spacetime curvature. We can describe this interaction by considering the superposition principle, where the total curvature at any point in spacetime is the sum of the curvatures induced by each black eye individually:
7. Total Curvature = Curvature BE1 + Curvature BE2
8. Gravitational Wave Emission:
9. The accelerated motion of BE1 and BE2 as they approach each other leads to time-varying curvature, resulting in the emission of gravitational waves. Following the principles of quadrupole radiation, the power radiated in gravitational waves can be given by the formula:
10. dE/dt = (G/c⁵) * |q_ij|²
11. where q_ij represents the time-varying quadrupole moment of the gravitational system. The rate of change of the quadrupole moment due to the motion of the black eyes is also taken into account.
12. Empirical Verification with Galactic Center Collisions:
13. Observations of galactic mergers have revealed the presence of gravitational wave actions during the collision of galactic centers, leading to the formation of a larger galaxy. By analyzing the characteristics of these gravitational wave signals, such as their frequency, amplitude, and duration, we can compare them to the predictions of our mathematical model for black eye collisions.
14. We collect data on gravitational wave events associated with galactic mergers and analyze the properties of these events. We then simulate the collision of two black eyes using our mathematical model and generate theoretical gravitational wave signals. By comparing the simulated signals with the observed data, we can assess the agreement between the model and empirical evidence.

Conclusion

The mathematical model presented here proposes a theoretical framework for understanding gravitational wave emissions resulting from the collision of black eyes at the centers of galaxies. By combining empirical verification from known gravitational wave actions during galactic mergers, we can explore the possibility of black eye interactions and their contributions to the symphony of gravitational waves in the cosmos. Further observations and continued research will be essential to validate and refine this model, shedding light on the fascinating interplay of gravitational forces within our universe.

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Again, I appreciate your help in this. Complex and simplistic feedback are all appreciated. Understand that I will use ChatGPT to perfection the mathematical model (and later on I can focus on the empirical evidence).

Thank you.