Gravitational Well
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This article takes place in the 24 & 26 centuries of Distant Worlds.
The Probabilistic Relative Region of Space and Time (PRRST), more commonly known as the Gravitational Well, is a region in space characterized by an extraordinarily dense concentration of an exotic supersymmetric partner of the Graviton particle, called Gravitinos. These regions arise when a massive star reaches the end of its life, progressing beyond the Neutron Star phase. The extreme pressure within the collapsing core of a Neutron Star forces neutrons, composed of quarks, to crush into one another, forming Gravitinos. This exotic matter is theorized to exist only under the immense pressures and gravitational forces found in such extreme environments.
The Gluonic Strong Force within this environment interacts with the Dual-Graviton bond, compounding the already overwhelming self-crushing pressure in the core. This process leads to the formation of a Gravitino core—the densest known state of matter. Surrounding this core lies a region referred to as the Probabilistic Soft Singularity or the Baltzov Ring, named in honor of Alder Baltzov, who first proposed the mechanism by which Gravitinos escape from within the Gravitational Well.
The Probabilistic Soft Singularity is a cloud-like region around the core where free Gravitinos are densely concentrated. The crushing pressure within the core creates nanometric cracks, through which winds of free Gravitinos escape. These escaping particles form a probabilistic cloud, generating immense gravitational pull toward the core. Interestingly, the larger the Gravitational Well, the weaker this gravitational cloud becomes, theoretically creating regions where gravity is weak enough to permit survival.
The outermost boundary of the Gravitational Well, commonly referred to as the Event Horizon, marks the zone where Gravitons decay into photons. These photons radiate outward as highly redshifted thermal radiation, known as Hawking Radiation. The Gravitational Well's core can grow as it consumes more matter, which, in turn, causes the probabilistic cloud to expand correspondingly. also refered as Entropy of Gravitational Well, the amount of attached strings (consumed information)
History of Black Hole Models
The foundation of what we once referred to as Black Holes emerged during the early 20th century on Old Terra. In December 1915, amidst the chaos of World War I, artillery lieutenant Karl Schwarzschild received a letter from the renowned theoretical physicist Albert Einstein. Einstein, after a decade of intense work, had formulated his theory of General Relativity, which extended Special Relativity to include gravitational, electric, and magnetic forces. Schwarzschild, an accomplished theorist and mathematician, sought to solve Einstein’s field equations. The result was the Schwarzschild Metric, the first known exact solution to Einstein’s field equations. This metric described a spherical region of warped space surrounding a concentrated mass, invisible to the outside world. The geodesics of light within this region were so warped that they could never escape.
For decades, the Schwarzschild Metric was the sole mathematical description of such regions. In 1963, Roy Kerr expanded upon this foundation by introducing the Kerr Metric, which described the geometry of spacetime around a rotating, uncharged black hole. These two solutions formed the backbone of early black hole studies.
However, despite the success of General Relativity, it faltered when applied to the centers of black holes, where gravity and quantum mechanics collide. This inconsistency spurred the development of numerous theories, including M Theory, Causal Dynamical Triangulation, and Asymptotic Safety.
In the 22nd century, Marcus Hector Cüpernik made a groundbreaking contribution to M Theory by unifying Supergravity and the five models of Superstring theory. With assistance from the Archangels, this work revolutionized humanity’s understanding of the universe. The existence of Gravitons, eleven-dimensional geometry, and supersymmetric particles became widely accepted. The old models of black holes were increasingly seen as inadequate in explaining the new reality.
Following the Distant Worlds Expedition, aided by the vast knowledge preserved in the Library, the scientific community revisited the concept of black holes. Studies of neutron star cores provided compelling evidence for the existence of Gravitino cores. It was theorized that the extreme pressure within these cores could crush quarks into Gravitonic bonds, forming Gravitinos. Alder Baltzov expanded upon this model, suggesting that the immense pressure could cause the cores to nanometric cracks, releasing winds of Gravitons. This theory gained further credibility from Hawking Radiation theory, which also describes how lonely Graviton decays into virtual particle pairs—one positive and one negative—form near the Event Horizon. The negative photon is recaptured by the Gravitational Well, while the positive photon escapes, becoming a real particle. This process supports the concept of a Graviton Probabilistic Cloud around the core.
The refined model of Gravitational Wells eliminates the need for the idealized conditions required by Asymptotic Safety theories. It aligns seamlessly with the established frameworks of M Theory, Causal Dynamical Triangulation, and Quantum Field Mechanics.
Due to the extreme conditions within a Gravitational Well, direct observation of its interior remains unlikely. However, evidence of photonic thermal radiation was recorded by the Expeditionary Crew near Gaia BH1, a black hole located 1,560 light-years from the Stellar Neighborhood. At such relativistic distances, being motionless becomes a natural state, offering valuable insights into state change from being motionless and accelerating natural states.
General Equation
The Expanded General Unified with Entropy Equations represents The Gravitational Well as no longer a simple classical entity; it represents a dynamic interplay between mass, quantum fields, and entropy as information.
G ⅁(r) = 1 - \frac{2G}{c^2 r} \left( M_c + \int_0^r 4\pi r'^2 \left( \rho_{g0} e^{-\beta r'} + \rho_{q}(r') \right) \, dr' \right) - \int_0^r \frac{G \left( \rho_{g0} e^{-\beta r'} + \rho_{q}(r') \right)}{r'^2} e^{-\alpha r'} \, dr' - \frac{k_B Φ_k}{\lambda_s^2} \int_0^r ρ_s(r') 4\pi r'^2 \, dr'.
Where:
- G ⅁(r) Symbol of Gravitational Well -> Deformation of spacetime metric, accounting for mass, field density, quantum corrections, and entropy.
- M_c Mass of the Gravitino core (constant).
\rho_g(r) = \rho_{g0} e^{-\beta r} + \rho_q(r) Energy density of the probabilistic Graviton Cloud, split into two components:
- \rho_{g0} e^{-\beta r} Exponential decay of the Graviton field.
- \rho_q(r) Quantum fluctuation energy density.
α, β Damping factors:
- \alpha Interdimensional damping for quantum corrections.
- \beta Spatial decay of the Graviton energy density.
S(r) = \frac{k_B Φ_k}{\lambda_s^2} \int_0^r ρ_s(r') 4\pi r'^2 \, dr'
Entropy Terms Where:
- k_B Boltzmann constant.
- Φ_k Interdimensional coupling constant.
- ρ_s(r') String density at radius r' proportional to \rho_g(r').
- \lambda_s^2 Characteristic wavelength of strings.
Unified Terms Where:
First Integral: Graviton Cloud contribution to mass-energy.
Second Integral: Graviton quantum corrections affecting spacetime curvature.
Third Integral: Information flow from attached strings via the Graviton Cloud to the core.