This article takes place in the 24 & 26 centuries of Distant Worlds.
Diegetic Page
This page is written from an in-universe cosmology perspective. This means information contained within it may take a much different tone or format from other articles. *For unfamiliar Physics Notations, visit this page, or Terminology page here
"The horizon of the black hole is no longer a place in space, but a moment in our past. And the centre of the black hole is no longer a point, but an event in our future... a destiny we cannot avoid"
United Sol Command – Directive 7.9.34.3-A(Issued in Accordance with Deep Space Navigation Protocols)
"⚠️ NOTICE TO ALL CREW, PILOTS, AND ARTIFICIAL NAVIGATORS
Under no circumstances are vessels to attempt transit through the Event Horizon of a Gravitational Well,regardless of visual stability or sensor data suggesting traversable geometry.The interior does not lead to another star system, temporal displacement, or higher hyperspace plane.This is not a wormhole. This is not a shortcut.All personnel must refer to queueing for Bridge Highway Routing for inter-galactic travel.For authorized gravimetric slingshot maneuvers (Graviswing™)utilize Toivo's Algorithm along pre-calculated null-stress corridors."Failure to comply is considered suicidaland will result in voided life insurance settlements. You will be listed as missing person.
Overview
Cartographic Symbol Associated with Gravitational Wells
Condensed Space and Time Well, (CSTW), 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 stresses found in such extreme environments.
The Graviton Foam Field, or the Baltzov Ring, named in honor of Alder Baltzov (Альдер Бальцев) is a diffuse, cloud-like region that surrounds the core of a Gravitational Well. It arises from the excitation of the Graviton Quantum Field, manifesting as quantum fluctuations in the spacetime metric tensor \large g_{\mu \nu}. Within the core, immense compressive forces generate nanometric fractures, microscopic cracks in the fabric of core matter through which high-energy streams of gravitons escape. These escaping gravitons further excite the surrounding field, giving rise to a self-reinforcing probabilistic cloud of quantum gravitational particles interior.
This graviton-rich cloud exerts a powerful, yet non-uniform, gravitational attraction toward the core. Unlike a traditional singularity, which is classically considered a point of infinite density and zero volume, the Graviton Foam Field behaves as a dynamic quantum structure—chaotic, indeterminate, and inherently uncertain in spatial resolution.
@ScienceClic
The larger the Gravitational Well, the weaker the gravitational intensity of this cloud becomes. As the system scales, the probabilistic nature of graviton distribution increases, leading to theoretical gravitational dilution. This implies that in the most massive Wells, such as supermassive gravitational wells, there may exist marginal zones within the Baltzov Ring where gravity weakens just enough to permit transient survival.
The outermost boundary of the Gravitational Well, commonly referred to as the Event Horizon, marks the zone where a chaotic, indeterminate, and inherently uncertain quantum foam of graviton excitations dominates. These fluctuations generate intense gravitational tides, which distort spacetime and induce excitations in the surrounding vacuum. As a result, electromagnetic field lines become stretched, bent, or momentarily amplified. This modulation leads to pair production: one particle, typically with negative energy, falls into the well, while its positive-energy counterpart escapes as real radiation — manifesting as Hawking radiation.
As previously mentioned, the Event Horizon marks the boundary where graviton excitations dominate, reaching their peak influence on spacetime. According to the current model, the graviton cloud, which forms around the collapsing core, interacts immediately with the surrounding spacetime. This interaction creates a radius beyond which the cloud can no longer influence the external geometry, establishing a distinct separation between Outer Space and the Baltzov Ring.
In non-Schwarzschild configurations, particularly those involving rotation or charge, the predicted metric diagrams often reveal a distorted, asymmetrical "egg-shaped" Baltzov Ring. These models show spatial gaps between the event horizon and the outer edge of the Baltzov structure. While this boundary is still-in ideally defined conditions- defined using the Schwarzschild radius, the actual geometry of the region is more complex and nuanced.
Scientific institutions routinely caution that such diagrams are idealized representations, based on abstract metrics that simplify the underlying spacetime dynamics. Thanks to the fieldwork and gravitational modeling conducted by the Voidwalkers, it is now widely acknowledged that the real-world geometries of region separation, between the Baltzov Ring and outer space, can deviate significantly from theoretical predictions.
Following the modeling of the Kerr system, attention shifted to the Reissner–Nordström configuration, non-rotating yet electrically charged gravitational object. This model introduced the concept of an Outer Baltzov Ring: a serene gravitational region influenced primarily by electric charge cancellation, which in turn defined the structure and interaction between the outer and inner event horizons.
When attempting to apply a similar framework to Kerr-type Gravitational Wells, complications arose. Unlike the Reissner–Nordström case, the Kerr model introduced significant rotational distortion to the Outer Baltzov Ring, Essentially returning to original problem. This was due to the far greater angular momentum intrinsic to Kerr systems, which dramatically warps spacetime. In comparison, the Reissner–Nordström's minimal, often negligible spin (required only for classical magnetosphere formation) had little to no impact on ring deformation.
In the case of Kerr–Newman–de Sitter Gravitational Wells, a configuration involving both charge and extreme rotational velocity within a cosmological constant, the distortions became even more pronounced. Observations and simulations revealed large, voided regions where the Baltzov Ring structure either fragmented or was entirely absent. The ring was seen to stretch and elongate along the direction of rotation, pulled by the inner ergosphere, which itself expanded into a wide, spiraling basin.
Meanwhile, the outer ergosphere suffered from structural shearing caused by the system's extreme rotation. This resulted in the formation of two distinct, dome-shaped regions, massive, turbulent gravitational lobes rotating in alignment with the object's spin axis.
Albert Einstein
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.
Karl Schwarzschild
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.
Roy Kerr
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 gravitational tides excite the vacuum into virtual particle pairs—one positive and one negative—form near the Event Horizon. The negative particle is recaptured by the Gravitational Well, while the positive one 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.
Flawed Predecessor of Gravitational Wells
One particular model emerged rather late in the game: the Gravastar theory, an alleged alternative to the classical black hole models predicted by General Relativity. Gravastars were conceived as a workaround to a perceived flaw in Schwarzschild black holes: the presence of singularities. But the irony is clear, Schwarzschild singularities arise only because the solution ignores rotation, which, when properly accounted for, prevents the formation of a point-like singularity in favor of more physically consistent ringularities. The Gravastar was, at its core, a band-aid for a problem that stems from relying on incomplete and outdated metrics.
To complicate matters, Gravastars introduced exotic matter into their formulation,a substance with negative pressure and strange properties, never confirmed in nature. In contrast, the Gravitino, a particle confirmed within the framework of M-Cosmology, presents a more grounded alternative. While one might argue that Gravitinos were once considered exotic, their confirmed existence and role within cores places them firmly within the realm of established post-quantum physics. Unlike the hypothetical materials used to sustain Gravastars, Gravitino-based structures form the physical core of massive collapsed objects, not merely as scaffolding for an event horizon.
Gravastars also made an ambitious, if flawed, attempt to extend Bose–Einstein condensation into the gravitational field, attempting to hybridize quantum phenomena with classical frameworks. It was a noble gesture, yet one that repeated an all-too-familiar mistake: forcing incompatible models together without first reconciling their fundamental assumptions.
Today, in the age of Gravitational Wells and their predecessor, properly understood rotating black holes, Gravastars are remembered as a misguided fix, an attempt to repair the wrong problem in the wrong place, with the wrong tools.
Diagrams
Diagram of Schwarschild Gravitational Well. Symbolism: \large \dot{G} -Time-symmetric influence. \large \underset{\cdot}{G}-Suggests downward/central pull or reflection.
Diagram of Rotation (Kerr) Gravitational Well. Probabilistic Graviton Cloud is distorted in the direction of Kerr Rotation. Symbolim: \large \vec{G}-Directional angular momentum (rotation). \large \underset{\vec{}}{G} -Equatorial dragging / latitudinal frame-drag.
near Reissner–Nordström Gravitational Well with Elements of Kerr-Newman for induced Magnetosphere. Elements are overexaggerated for visual clarity. Symbolism: \large \dot{G} - Near Symmetric Influence, \large Q - Charge
Kerr-Newman-de Sitter, extreme case of Gravitational Well, predicted by the metric, was observed only once. The domes remain within the Gravitational Well's influence, unlike their dissapearance predicted by the metric. Symbolism: \large \vec{G} Kerr Rotation, \large \Lambda- Cosmological Constant, \large Q - Charge
Domains
The core of a Gravitational Well is not a stable, singular sphere—as once naively imagined in the early theoretical frameworks of the 1970s. Rather than being a fixed central point, the core is an ever-shifting, chaotic region governed by immense gravitational tides, violent oscillations, and continuous spacetime distortions.
Two Domains of Kerr Gravitational Well
The core writhes and contorts under the extreme pressures of spacetime curvature and quantum instability. These distortions are so violent and nonlinear that physicists have resurrected the nomenclature of Belinski–Khalatnikov–Lifshitz, naming such regions BKL Domains. Within these domains, spacetime shrinks and stretches chaotically, never reaching singularity in a traditional sense, but instead Gravitino cores becomes a water balloon being punched from all directions.
Complicating this picture further is the effect of graviton field excitation, which leads to profound time dilation near the event horizon. When an object—call it \large X—passes through the horizon, internal observer perceive a strange phenomenon: all subsequent infalling matter appears to pile up behind \large X, as if frozen in time. This creates a region of extreme density known as the Mass Inflation Domain.
In the late 21st century, as gravitational field theory matured, scientists identified an additional, more elusive region in ancient wells—located between the mass inflation zone and the Gravitino Core. This region was found to be curiously quiet, free from the roaring chaos of the BKL domain or the violent buildup of inflating mass.
They named it the Gentle Domain.
While still subject to intense gravitational forces, the Gentle Domain exhibits relatively smooth curvature, dampened fluctuations, and near-isotropic behavior. It is suspected that, in this region, graviton interactions reach a form of temporary equilibrium before plunging into the chaotic collapse beyond. The Gentle Domain may represent a short-lived window of structural coherence.
The Torment of a Thousand Blades
From a simple, speculative question, "If the Gravitino exists, might its other supersymmetric partners also exist within the Gravitational Well?", a new theoretical framework emerged. This question touches the very heart of relativity, for its answer depends entirely on perception.
For an outside observer—call them \large X—the idea or information about the supersymmetric partner persists beyond the event horizon. The observer sees it encoded, seemingly frozen in gravitational well, imprinted upon the surface of the Well.
But for an inside observer—call them \large Y—the reality unfolds differently. To them, the superpartner behaves as expected under normal quantum field behavior, quickly decaying into lighter, non-supersymmetric strings,
if, of course, decay is inevitable.
Yet a provocative "What if?" lingers: What if, amidst the chaos of the interior, where quantum foam churns and spacetime distorts, these superpartners do not decay? What if they survive, caught in the violent currents of the excited graviton field?
In such a scenario, they would act like spinning shards of high-energy geometry—razor-edged remnants of broken symmetry. The poetic name by student given to this imagined state was:
"The Torment of a Thousand Blades."
This haunting vision led to further speculation. Would D-Particles from Bridge Space, those dimensional carriers native to Non-M Universal Hyperspace remain intact from the perspective of observer \large X, due to relativistic time death after event horizon crossing? Or would they collapse instantly for observer \large Y, lost in the turbulence of the interior?
Such paradoxes may never be tested directly. Experimental proof is likely impossible. But within normal and hyperspace simulations, holographic projections, and the rigorous playground of thought experiments, this line of inquiry has opened a new axis of research. One that blends graviton field theory, supersymmetry, and the nature of time itself.
Refer to Picture 1 for visual representation on diagram
As mentioned previously, The interior of a Gravitational Well is dominated by a probabilistic cloud of graviton quanta—an energetic, turbulent zone extending from the Gravitino core to the Event Horizon (in the idealized non-rotating case). Rather than being governed by a smooth classical metric, this region is shaped by an intensely excited and fluctuating quantum field, \large hμν, representing perturbations in the very geometry of spacetime.
Rather than forming a continuous or predictable structure, this field manifests as a quantum gravitational foam: a dynamic ensemble of virtual and near-on-shell gravitons. In quantum field theory, on-shell configurations are those that satisfy the classical equations of motion—real particles—while off-shell configurations correspond to virtual states that do not. Within the Well’s interior, these off-shell graviton excitations are not confined; they interact with and couple to the external, real graviton field through the universal nature of gravitational interaction. These graviton pairs are analogous to particle-antiparticle pairs in standard Hawking radiation, though here they involve spin-2 modes.
In this context, the boundary between inside and outside becomes semi-permeable. Fluctuations within the interior can mix with external field modes, much like how virtual photons near conductive plates can manifest as real particles in the Casimir effect. Similarly, virtual gravitons near the event horizon may become real, materializing as graviton pairs. One graviton, carrying negative energy relative to the Well’s total energy, is absorbed into the core, while its positive-energy counterpart escapes to infinity, in form of gravitational waves.
This phenomenon directly parallels Stephen Hawking’s original formulation of black hole radiation, typically derived for scalars or spin-1 photons, but is now extended to spin-2 gravitons. Due to the extreme redshift near the event horizon, the interior quantum modes are stretched and destabilized to such a degree that a fraction of them tunnel out of the curved background, emerging as real outbound graviton radiation. The horizon functions as a quantum phase boundary: a symmetry-breaking surface where virtual field modes can 'snap' into on-shell configurations under extreme tidal conditions.
Mathematically, this is encoded in the Bogoliubov transformations that relate the “in” and “out” modes of the graviton field in curved spacetime. As a result, Hawking gravitons are emitted.
This process leads to a net loss of curvature-energy in the Gravitational Well. However, the system remains in quasi-equilibrium. The interior graviton foam is continuously replenished by incoming matter or through high-frequency dual-graviton interactions, sustaining the energy density and maintaining the probabilistic structure of the Well’s interior. Thus, the Gravitational Well is not a static prison of spacetime, but a dynamic quantum system where energy, curvature, and information continuously flux across the boundary of existence itself.
Entropy of SuperSymmetric Gravitational Well
With the emergence of Mark Cooper’s unified framework for M-Cosmology, renewed attention has been given to the entropy of Gravitational Wells, especially within the context of higher-dimensional supergravity. When principles of Supersymmetry (SUSY) are combined with General Relativity, particularly in relativistic cosmological regimes where Type IIA/IIB strings become relevant, supersymmetric gravitational wells can be constructed from intricate configurations of D-branes, NS5-branes, and F-strings.
These structures give rise to five-dimensional gravitational wells, objects deeply associated with the essence of The Bridges, the interdimensional pathways in higher-dimensional space. An NS5-brane, in this context, is a five-dimensional hypersurface (with a 6D worldvolume including time), capable of hosting complex brane-string dynamics, and gives rise to either Type IIA or Type IIB string behavior depending on the specific dualities involved.
In an exotic and stable configuration known as a BPS Gravitational Well, the 5D geometry forms a bound state of multiple branes and strings. This bound state preserves a fraction of supersymmetry and minimizes energy, leading to stability even in extreme gravitational conditions. The entropy of such a gravitational well corresponds to the total number of distinct microstates—different internal configurations of branes and strings—that share the same macroscopic quantum numbers (mass, angular momentum, charge, etc.).
Open strings end on D-branes that wrap around or near the event horizon. These strings represent quantum excitations of the horizon-bound degrees of freedom. From the perspective of an external observer, when a particle falls toward the gravitational well, it never truly crosses the horizon. Due to infinite redshift near the event horizon, it appears to "stick" at the boundary.
This "sticking" effect reveals a profound truth: the degrees of freedom responsible for encoding information do not reside deep inside the gravitational well, but on or just outside the horizon itself. This aligns with the Holographic Principle, which posits that all information within a volume of space can be described by degrees of freedom on the boundary of that space.
Through the AdS/CFT correspondence, a 5D supersymmetric gravitational well (such as a charged, rotating BPS gravitational well in AdS_5) corresponds to a thermal state in a 4D conformal field theory (CFT). In this dual picture:
The entropy of the gravitational well arises from counting quantum states in the boundary field theory.
These quantum states map precisely to the string/brane configurations in the hyperplane.
The match between CFT state-counting and string entropy confirms the "strings-at-the-boundary" view.
Thus, all information about matter falling into a gravitational well is encoded at or near the horizon, never truly lost or buried in the core. Instead, the horizon behaves as a quantum memory surface, where the degrees of freedom are not just gravitational—but string in nature.
GW Burst Event / AdS Weather
During a routine flyby mission near the Gravitational Well designated DSO-198745-93847GW, the exploration vessel USC-Ashura, positioned approximately 10 astronomical units from the celestial body, experienced a violent and unexpected event.
According to the crew, everything in front of them, space itself, began to stretch and shimmer. Objects appeared to wiggle and distort, yet disturbingly, in perfect symmetry. A sense of profound unease swept through the team. The ship’s onboard sensory systems, many of which were reverse-engineered from recovered Archangelic technology, lit up in alarm. The Gravitational Well they were monitoring had unleashed an immense tide of gravitational energy, a gravitational wave of unprecedented power.
The wave was not confined to ordinary spacetime. The spatial oscillations it generated were detected within the 4th and even 5th dimensions, barely perceptible but undeniably real to Ashura's subspace-penetrating sensors. At the time, USC-Ashura was approaching the end of its observation cycle and was scheduled to return to Aboriya, where it would be relieved by its sister vessel, USC-Chariot on Fire.
But fate intervened.
As Ashura prepared its return trajectory, its sensors suddenly began receiving an automated emergency broadcast—from the Chariot on Fire.
When Ashura approached the transmission’s origin, the crew was met with a chilling sight: torn, drifting fragments of the USC-Chariot on Fire scattered through space. The ship had been obliterated. In tragic irony, its destruction mirrored the apocalyptic grandeur of its name.
Shocked and grieving, the crew of Ashura retrieved the vessel’s black box data. Upon analysis, a disturbing truth emerged. The tensorial stress fields acting on the Chariot on Fire had transitioned from relatively linear and symmetric formations to catastrophic, non-linear chaos. It had been flying within the AdS subspace corridor, nearing the same gravitational well. It was there that it suffered what scientists now call a subspace quake, a violent tremor not of ground, but of hyperspace itself.
In the aftermath, several theories emerged. One gained the most traction.
It is now believed that the Probabilistic Cloud of Excited Gravitons within certain Gravitational Wells can reach critical density. Under normal conditions, Hawking gravitons emitted from the event horizon maintain equilibrium, shedding curvature-energy to prevent buildup. However, when the excitation within the graviton field surpasses a critical threshold, the system destabilizes.
Unable to maintain the balance, gravitons accumulate at the edge of the event horizon until the pressure exceeds the downward curvature of spacetime itself. When this threshold is breached, the excess is violently expelled as a massive gravitational wave—a coherent pulse of real, spin-2 Hawking gravitons.
The result is not just a local disturbance.
The concentrated wave excites the gravitational field into higher dimensions, sending ripples through subspace. The term now used by Voidwalker researchers as simple: a Universal Quake.
How AdS Weather predicted
in ordinary 4D General Relativity, at each point you have a rank‑2 metric tensor which tells you how to compute lengths, angles, causal intervals, curvature, etc., in the 4‑dimensional field at the point x.
In Expanded Einstein Field Metric Tensor (EEFMT), spacetime has 1 time + 10 spatial dimensions. At each event X it now attaches a 10×10 symmetric matrix (plus the time–time and mixed time–space rows/columns if include time in the same object):
Each component \large {G}_{AB}(X) is a function of the 11‑dimensional coordinate \large X=(t,x1,…,x10).
Diagonal entries \large gAA tell how lengths scale in the A‑th spatial direction locally (i.e.\ the “stretch” along each axis). Off‑diagonal entries \large gAB,A=B encode how those axes are sheared or tilted relative to one another.
It’s the same logic used in 4D—now simply applied to a 10D “grid” of basis vectors.
When the sudden 10D gravitational‑wave burst triggers, we inject a time‑dependent perturbation into one or more of these components:
Before t0: the metric is (nearly) static.
After t0: the (10,10) entry oscillates, sending ripples through all ten dimensions.
In the linear regime, each matrix‑component perturbation hAB(t,x) satisfies a wave equation in 10D:
\Box_{10}\,h_{AB}(t,x) \;=\; 0
each point in the full 11‑dimensional spacetime as mentioned above carries an Expanded Einstein Field Metric Tensor
which governs the propagation of graviton modes in all ten spatial dimensions. A sudden, violent burst injects a time‑dependent perturbation into one or more components of \large GAB. For example, a delta‑pulse in the \large (10,10) entry.
generates a spherical gravitational wave that ripples outward through all ten dimensions, satisfying the linearized 10D wave equation
\Box_{10}H_{AB}(t,x^i)=0
When such a burst passes through an Anti‑de‑Sitter travel channel, three‑dimensional rhombic dodecahedral subspace volume embedded within a fourth spatial dimension, the local geometry can be captured by a truncated 5×5 metric covering time plus the four coordinates \large (w,x,y,z):
Here \large w parameterizes the fourth spatial dimension that organizes the rhombic‑dodecahedral cross‑section.
Inside this AdS tunnel, any stabilizing or navigational field \large ϕ generates a stress–energy tensor:
which measures how the passing gravitational wave deposits energy and momentum into each direction of the subspace volume. By projecting the original 10D delta‑pulse onto this 5D slice,
which informs pilots and flight-control exactly how the Anti-de Sitter corridor will stretch, shear, or oscillate under the influence of a higher‑dimensional gravitational storm.
At the summit of the first Science Festival on the planet Emerald, during the early days of its colonization, a group of bright-eyed science students approached the Assembly of Scholars with a bold and unnerving question.
“What would happen,” one of them asked, “if the gravitational pull downward, toward the Gravitino Core, were overtaken by the outward push of Hawking graviton radiation? What becomes of the Core, if the pressure inside surpasses even gravity’s hold, faster than light? or the pull becomes slower than light...”
A hush fell across the room. Then one of the senior physicists—gray-haired, wide-eyed, and visibly unsettled—spoke with quiet reverence
“That is a very brave question for your age... and a terrifying one at that."
“The Gravitino Core, Malevolent Shrine at the heart of this Demon Sphere, harbors an unfathomable reservoir of mass-energy, compressed beyond comprehension. If the inner quantum pressure exceeds the graviton field's confinement, if Hawking radiation in the form of gravitational waves begins to dominate outwardly... then I’m afraid we may witness a cosmic catastrophe unlike any the universe has known.”
He paused. The lights dimmed in the great hall as a model of a Gravitational Well spun slowly in midair.
“The detonation would dwarf even hypernovas—a hundredfold. A Gravitino collapse, unshackled from the gravitational prison, would erupt into normal space. What follows is a particle storm of terrifying violence”
He gestured to the projection as particle emissions flared:
\text{Gravitino} \rightarrow p + \beta^- + d + \gamma + \nu_e + \mu^- + \tau^-
“This is not mere death. It is a scream. A final, cosmic revenge against the universe that crushed it into silence.”
“It is, quite literally, a ticking bomb, one sealed beneath layers of tension and graviton-field suppression. We can only hope the probabilistic graviton field surrounding it—this quantum foam of spacetime—will hold it sealed for eternity.”
The scholar turned back to the students and added solemnly:
“Imagine it as the oldest symbol of duality—Yin and Yang. Perfect balance. The black void and the white light, the silent core and the roaring escape. Should that balance falter... the universe will hear its wrath.”
Accreting Cocoon of Schwarzschild Wells
Although standard metrics for external spacetime around Schwarzschild Gravitational Wells predict no surrounding accretion features, especially in non-rotating cases, a surprising anomaly was recorded deep within the Milky Way’s sparse galactic arms. These regions, marked by exceptionally low stellar density, became the stage for an unprecedented discovery.
Aboard the USC-Gravity Fall, a Voidwalker exploration vessel tasked with charting Gravitational Wells across the galaxy, the crew encountered what appeared to be a Near-Perfect Schwarzschild Gravitational Well, a rare type with an immeasurably small Kerr spin, so negligible that it was previously considered irrelevant in forming any significant accretion dynamics.
Conventional physics dictates that such wells should lack accretion disks, as these structures typically form from matter spiraling along the angular momentum axis of a rotating Kerr system. In contrast, Schwarzschild Wells, devoid of spin—should exhibit no such behavior.
Yet, to the astonishment of the scientific community, the crew of Gravity Fall returned with photographic and spectroscopic evidence of accreting matter, not in the usual form of a thin, rotating disk, but rather in the shape of a dense, glowing cocoon enveloping the well itself.
This observation raised profound questions: What was the origin of this cocoon? How could matter remain suspended in such a seemingly static configuration?
One prevailing hypothesis suggests that this cocoon may be the remnants of the progenitor star’s outer layers, gently surrendered during collapse. In the absence of violent rotational forces, the matter could have remained gravitationally bound, forming a quiescent shell. Over time, thermal friction and gravitational compression may have caused the cocoon to heat and emit radiation, mimicking certain properties of traditional accretion but governed by a radically different mechanism.
Reissner–Nordström Charge
As previously introduced, the Reissner–Nordström configuration describes a non-rotating yet electrically charged gravitational object. This model is notable for introducing the concept of the Outer Baltzov Ring—a tranquil gravitational region shaped predominantly by electric charge cancellation. This cancellation influences the geometry between the outer and inner event horizons, defining their separation and mutual interaction.
In the classical Reissner–Nordström solution (assuming natural units where G=c=1), if the black hole's electric charge Q is less than its mass M, the spacetime admits two distinct horizons: an outer horizon and an inner horizon. The region between these horizons behaves like a relativistic waterfall—space is dragged inward faster than the speed of light, carrying all matter and radiation along with it. Outside these horizons, space retains subluminal characteristics, and a relative calm prevails.
It is crucial to note that elementary charged particles, such as electrons and quarks, do not form gravitational wells. Their charge-to-mass ratios are too high, preventing the formation of horizons. Thus, they remain as standard quantum fields, not gravitational objects.
If one were to continue the classical Reissner–Nordström geometry to its central singularity, one would encounter a gravitationally repulsive, negative-mass core. In such models, neutral infalling observers are repelled from the singularity rather than falling into it. However, this singularity is unstable: it could theoretically self-neutralize by producing particle–antiparticle pairs from the vacuum. As the singularity swallows particles of opposite charge, it reduces both its net charge and negative mass, redistributing the remaining charge throughout the space inside the inner horizon.
In the updated model, the central singularity is replaced by a Gravitino Core, part of a more physically consistent view of Black Holes. Rather than being destroyed by charge annihilation, the core behaves according to BKL (Belinsky–Khalatnikov–Lifshitz) dynamics, it is inherently unstable and oscillatory, driven by the fluctuating curvature of surrounding spacetime (the graviton quantum field), these fluctuations cause quantum field distortions. Infalling matter interacting with this instability becomes electromagnetically induced, acquiring charge in the process.
This chain reaction of electromagnetic induction leads to the formation of a dynamic structure known as the Two Horizons. The space between these horizons continues to exhibit faster-than-light (FTL) contraction, while regions outside either horizon return to classical spacetime behavior. This in-between region acts as a self-confinement mechanism: matter within the unstable core is constantly trying to explode outward, but the FTL region forces it back inward, stabilizing the system through a relativistic feedback loop.
This effect is often diagrammed as a dashed circle encompassing the core, known informally as the Phantom Horizon. It represents a theoretical boundary beyond the inner event horizon, where the core's gravitational pressure attempts to escape but is crushed inward again by relativistic confinement.
While the classical Reissner–Nordström solution is idealized and static, real astrophysical systems incorporate additional properties from the Kerr–Newman metric, which introduces rotation and magnetic field effects. Although the spin in Reissner–Nordström-like objects is minimal compared to rapidly rotating Kerr Gravitational Wells, it does exist. Unlike the pronounced frame-dragging and ergosphere of Kerr objects, this spin manifests more subtly—producing classical electromagnetic fields from the motion of charged particles near the outer horizon.
Such charged Gravitational Wells likely require very specific environments for their formation. One plausible scenario involves a binary star system orbiting a Magnetar. Magnetars can possess surface magnetic fields of several million Teslas. These extreme conditions can spontaneously charge a nascent gravitational well, driving it toward a Reissner–Nordström configuration through electromagnetic coupling.
The concept of Gravitational Wells rose to prominence in the age of modern physics, particularly during the era of M-Universal Cosmology, building upon centuries of black hole models and the unfinished work of classical relativity. At the center of this evolution stood a revolutionary idea: the supersymmetric partner core—a proposed solution to the central infinities known as singularities, and a theoretical replacement for outdated constructs like multiverses, wormholes, and white holes. These archaic models once served as bandaids to explain where spacetime might "go" beyond the veil, but they were ultimately swept aside by the emergence of Hawking Gravitons, which offered a new way to visualize spacetime discharge through quantum gravitational radiation.
Yet one critical issue continues to haunt physicists working on Gravitational Well theory, a thorn in their equations and an existential ache in their attempts to simulate the structure. The Gravitino Core, sometimes referred to as the BKL Domain or, more poetically, the Demon Heart, has many names across disciplines. What unites them is this: the core is not a metaphysical idea or singularity, it is a physically manifest structure. As such, it must exert tremendous internal pressure upon itself, straining to release the vast potential energy and crushed fermionic matter being compacted within.
What prevents this core from violently exploding, what stabilizes it, is the overwhelming inward gravitational pull generated by the surrounding structure, known as the Baltzov Ring. This inward pull is not merely immense; it exceeds the speed of light, a phenomenon which would seem paradoxical were it not for the compensating escape of energy via Hawking Gravitons. These graviton emissions act as a balancing valve, radiating the excess and holding the core just shy of detonation.
But this brings forth a deeper question:
If the inward gravitational pull exceeds light speed, does this imply that the Gravitino Core exists in a spatial region where it remains stationary, even while moving faster than light?
According to the BKL model, the core behaves like a water balloon being struck from every angle simultaneously within a perfectly spherical geometry. The result is not rupture, but vibration, surface oscillations and dynamic distortions. The model postulates an invisible stability boundary—a gravitational tension shell—within which the core can wobble and flex without breaching critical mass-energy thresholds.
However, a paradox remains unresolved. Even within this BKL framework, the core persists in a state of dynamic equilibrium inside a region where spacetime itself collapses inward faster than the speed of light. If we instead try to model the process through the lens of Hawking Gravitons, the equations yield a slower-than-light rate of spatial contraction. In such a model, internal pressure would eventually overwhelm gravitational containment—and the Gravitational Well would detonate in a catastrophe far surpassing any known hypernova.
Why it fails!:
We model the rate at which spacetime inside the Baltzov Ring rushes inward as a power‐law that can exceed the speed of light.
For any \large κ>1 (superluminal collapse) or realistic \large M, the right‐hand side either demands \large R below the Planck length or becomes non‐real, so no physical \large R>0 exists.
Even in an age where humanity possesses every imaginable toy of cosmic engineering—Jackson Engines, Anti-de Sitter Drives, and interstellar vessels fused with alien Angelic Metal, after witnessing gravitational wells in every conceivable shape, form, flavor, and dimension, some of the universe’s most fundamental questions remain unanswered. Chief among them: what truly lies within the interior of a Gravitational Well?
Despite all advances, this enigma stubbornly resists resolution in the one language all intelligent species recognize—the language of mathematics.
Further Discussions on Flaws of the model's Core
It was an honor to host what many called the most marvelous event in all of human history—the grand festival that celebrated the full spectrum of human achievement: from the soaring crescendos of music and art, to the precise craftsmanship of engineering and the boundless curiosity of the sciences. Now held for the second time on the planet Emerald, the entire world seemed to come alive in a glowing symphony of green. Its vast forests and bioluminescent architecture, designed to let nature reclaim and embellish its cities, created a visual contrast unlike anything seen in the galaxy.
Nestled in the Azure Valley of the capital city, on the continent of Abrezia, stood a humble yet storied complex, named in honor of Mikail Deutron and Harrison Wells, recipients of the Nobel Junior Prize for their revolutionary contributions to space-dynamics and the unlocking of the Bridges. Here, in the so-called Wells-Deutron Conservatory, some of the greatest questions in modern physics found voice.
In a large sunlit room, equipped with every technological comfort of the era, two men sat before an enormous electronic drawing board. They were not alone for long.
Present was Deputy Secretary Hanz Nölman, second-in-command of the Nova Science Team's Gravitational Studies Division, and Assemblage Commissary Alder Baltzov, a theoretical physicist some historians half-jokingly referred to as the reincarnation of Roger Penrose. At Baltzov's personal invitation, they were joined by Nu Kunthea, the quiet yet storied voidwalker of the USC-Gentle Nightfall, representing his legendary crew who had risked their lives charting over 36 gravitational wells across the Milky Way.
Among their findings were never-before-seen phenomena: the symmetric elegance of a Charged Reissner–Nordström Well, the twin "mushroom-dome" structures predicted by the Kerr–Newman–de Sitter metric, and most famously, the first natural image ever captured of an Accreting Cocoon around a near-perfect Schwarzschild-type Gravitational Well.
After hours of quiet discussion and vibrant speculation, the conversation naturally circled back to the one problem that haunted every theory:
The Core.
Nu:
“Well... here we are again, brickwalled by the same problem,”
he said dryly, pointing to a holographic projection of the gravitational well flickering before them.
Hanz:
“We always come back to this, don’t we?”
Alder:
“It’s the same loop. We keep needing multiverses or some kind of dimensional extension, just to place the core somewhere it doesn’t break causality by standing still faster than light.”
Nu:
“Ironically, some students from Emerald University had a good insight. They suggested that the Gravitino Core might naturally extend into a five-dimensional space, thanks to its Dimensional Charge (D = 5).”
Hanz:
“Then, technically, the core would exist as a Causally-Dynamical Holographic Projection into our \large 3D+1 spacetime.”
Alder (interjecting):
“But how does the structure of spacetime ‘resolve’ itself in such a projection? Our current Hawking-Graviton metrics can’t penetrate that deep.”
Nu:
“Well—”
Alder (cutting in):
“Exactly. We always spiral back into singularity problems. And I’m unsure about this dimensional extension. Strings have physical dimensionality, and under extreme stress-energy they’re affected. I suspect the sheer pressure at the core’s location confines Gravitinos into three-dimensional space, preventing them from decaying, there’s simply no room for it. It becomes a web of tangled, interlocked strings, held in place against their will and their freedom.”
He paused, then added almost playfully:
“Probabilistic freedom, of course.”
Nu:
“But what if nature isn’t probabilistic there?”
Hanz:
“Can’t be. That’s why theoretical physics splintered, relativistic gravity just refuses to cooperate when you reach the zones where quantum mechanics is supposed to kick in.”
Alder (nodding thoughtfully):
“Still, Nu, I like the idea of a core extension. If it is a holographic projection, and gravity expands spherically through hyperspace, then by nature it weakens. Maybe... just maybe, the gravitational field, gravitons, or whatever, they are leaking into hyperspace, where they slow below superluminal speeds. The core then exists peacefully, in its natural fermionic state, Gravimatter, without needing to decay or explode.”
Hanz:
“But where’s that critical point? The point where gravity transitions, folds, or reflects into hyperspace? Even the Piker-Baltzov Metric can’t reach that deep.”
Nu:
“Wish we could grasp Gravimatter one day...”
Hanz:
“If we ever manage to contain Harrison Particles (D-Particles) I believe we could finally let superpartners exist comfortably in normal space, too.”
Alder:
"What am I, a space magician to you for that?"
Nu's approach to viewing the model
Shortly after the meeting with Hanz and Alder, Nu was struck by a idea, an alternative way to visualize spacetime. Rather than imagining it as the traditional curving geometric grid, still the dominant interpretation in most theories, he proposed something different: Echo waves.
In his words, these waves would behave like ripples that reflect when they strike a boundary, similar to how sound bounces off walls. Even amidst the chaos of countless oscillating sources, he theorized that graviton excitations might create overlapping oscillations across the fabric of spacetime itself.
He stood beside a still river on Emerald, the planet’s jewel-like sanctuary world. The sun glinted off the water’s surface as Nu tossed small stones into it, one after another. Each impact created perfect circles, radiating outward from the center. He kept doing it, methodically, waiting—until something clicked in his mind.
“Space,”
he muttered to himself,
“isn’t bound by the same limits that light is. Everything else is, but space... space is freer.”
He paused, watching the ripples fade.
“We’ve always treated quantum phenomena as waves. Photons, electrons, even probability itself, but when it comes to gravity, we fall back on relativistic geometry, bending grids and warping spacetime like rubber. But what if gravity is fundamentaly a wave too, one that strikes a core and reflects?”
He gestured sharply toward the water, his hand slicing forward in sync with a new ripple he made.
“The core isn’t stationary. Especially not in FTL conditions. Even if something appears stationary in space, it’s still moving through time. And past the event horizon, spacetime becomes so warped that lightcones twist, space and time swap roles entirely.”
“So if the core keeps moving, then maybe spacetime isn’t endlessly curving inward. Maybe it’s a wave—disturbed, oscillating, echoing back outward when it hits the core. The whole thing, even in superluminal or subluminal regimes, becomes one grand interference pattern.”
In Nu’s approach, he proposed that regardless of the relativistic vantage point, whether from an external observer beyond the event horizon or from within, the core remains in motion, not just as a singularity, but as a source of motion that drags everything along with it. No matter the frame of reference, the core and its motion in space persist, observable in spacetime or in timespace.
Nu sat down on the grassy bank. The wind stirred the trees, which swayed gently above the mirror-like lake. Every leaf, every cloud, reflected perfectly on the surface—like two realities superimposed.
“We’ve started seeing more and more evidence for wave-like behavior in spacetime,”
he said quietly.
“Yet we keep treating it as a static geometry. Strange how that isn’t questioned more often.”
He leaned back, eyes scanning the ripples, their patterns multiplying and intersecting.
“And even if it’s probabilistic in nature, when all the waves overlap, they form a kind of macro-structure—what looks like determinism. It’s what we see with atoms too. They smear, becoming overlaying waves, which in result creates a macro pattern. And somehow, everything ends up with these exact, unwavering constants. Proton mass, electron charge. Everything's locked into place. Why should gravity be any different?”
He paused, then added:
“Maybe the curvature near a singularity surpasses the speed of light... but what if that wave hits the ‘brick wall’ of the core? Maybe it loses energy, drops below light speed, and radiates outward, until it becomes trapped in a kind of Gravitonic Ring. Like the photon ring, but deeper. Internal. That might be what we’ve been calling the ‘Gentle Domain.’”
staring into the ripples—each one a metaphor, each one a possibility.
“Maybe that’s how we avoid the whole multiverse mess. No branching, no infinite timelines. Just oscillating echoes. And since gravitons have polarizations and spectra like photons, thanks to their gravielectromagnetic duality, maybe the high-frequency ‘gamma-like’ states vibrate so violently they behave purely as waves. Not strings. Pure propagation.”
Nu let the silence hang for a moment.
"And maybe that’s the key."
Problematic Domes of KNdS Wells
The Kerr–Newman–de Sitter (KNdS) Gravitational Well represents a theoretical advancement in the classification of exotic gravitational structures. By integrating electric charge Q, Kerr spin parameter a, and a reinterpreted cosmological constant \Lambda or often also expressed by the symbol Cosmological Reconstant divergence ჴ by other scientific communities, these wells extend traditional solutions into highly energized and rotationally extreme regimes. The model aimed to account for the previously unaddressed probability of such composite variations occurring naturally.
In this formulation, it was discovered that under certain combinations of spin a and cosmological expansion \Lambda, the ergosphere, the region of intense frame-dragging surrounding a rotating gravitational well, undergoes a radical transformation. Rather than a single ergoregion, the solution permits the formation of another distinct ergosphere: the classical outer and inner ergospheres, and a newly discovered transitional region referred to as the Piker–Hanz Eggshells.
Originally, these shells were predicted to create visually distinct zones, each marked by their own rotational dynamics. The inner structures were soon dubbed "Ergosphere Tornadoes", due to their similarity to extreme meteorological phenomena, spiraling vortices of spacetime that can exceed the rotational energy of the surrounding ergospheres.
These Tornado Domes are theorized to represent intense loops of frame-dragging, where spacetime itself whips around at velocities approaching,and in some metric predictions, momentarily exceeding the speed of light. While general relativity forbids objects from exceeding light speed, spacetime itself is not bound by this limit. Despite this, multiple observational missions conducted by Voidwalker crews have yet to record empirical evidence of regions surpassing lightspeed. However, many noted a peculiar hourglass-like geometry forming across the full gravitational well structure, possibly a visual or structural byproduct of these competing rotational zones.
Earlier iterations of the model predicted a complete bifurcation of the ergosphere into two domes, separated by a calm null-dragging zone. This theoretical "quiet band" was criticized for violating the very definition of an ergosphere, which by nature must exert rotational influence on spacetime.
A revised and now more widely accepted variant proposes instead that a transient vortex or "whirlpool" forms within the primary ergosphere and immediatly expand, observable according to cosmological divergence ჴ or \Lambda. This whirlpool creates a localized region of lethal frame-dragging intensity.
No known human vessel, not even the most advanced United Sol Command exploration vehicles, can survive the gravitational shear forces present within a Tornado Dome. Much like a planetary tornado tears apart anything unanchored or underpowered EVA Vehicles, these spacetime whirlpools trap and shred anything within their rotational grip.
Where snippet 1 is Volume of a region \mathcal{R} at time t, g_{ij} is the spatial 3-metric induced on our slice.
V(t)
= \int_{\mathcal{R}}
\sqrt{\det\!\bigl[g_{ij}(t,x)\bigr]}\;
d^3x
Snippet 2 is Relative Divergence D(t).D(t)
= \frac{V(t) - V(0)}{V(0)}
\quad\Longrightarrow\quad
D(0)=0,\;D>0\text{ as the region expands.}
Statistical Probability of Gravitational Wells
Statistical Probability of GW's:
Symbol:
Name:
\Large \mathbb{P} {GG}
\large \dot{G}\underset{\cdot}{G}
Schwarzschild
32.24 %
\large \vec{G}\underset{\vec{}}{G}
Kerr
91.83 %
\large \dot{G}_Q
Reissner–Nordström
43.15 %
\large \vec{G}_Q
Kerr-Newman
61.01 %
\large \vec{G}_{\Lambda,Q}
Kerr–Newman–de Sitter
26.04 %
Charted Gravitational Wells Table
Visited GW table:
Name:
\LARGE P
\LARGE ա_\circlearrowright
\LARGE Ք
\LARGE Փ
\LARGE ԱՍ
\LARGE ԱԿ
Gaia BH1
Milky Way
✔
❌
❌
❌
❌
DSO 885764-9984785GW
Milky Way
✔
❌
❌
❌
❌
DSO 99943-49845GW
Milky Way
✔
✔
❌
✔
❌
DSO 488574-43443GW
Milky Way
✔
❌
❌
❌
❌
Hawking's Rest
Milky Way
✔
❌
❌
✔
❌
The Scary One
Milky Way
✔
✔
✔
❌
❌
Shur'Hayish
Fujin
✔
❌
❌
✔
❌
DSO 4543574-43443GW
Milky Way
✔
❌
❌
❌
❌
DSO 123443-4433GW
Milky Way
✔
❌
❌
✔
❌
DSO 488574-43443GW
Milky Way
✔
❌
❌
❌
❌
DSO 488574-43443GW
Milky Way
✔
❌
❌
❌
❌
EDO 1223-3GW
Edelweiss
✔
✔
❌
✔
❌
DSO 999438-32654GW
Milky Way
✔
❌
❌
❌
❌
DSO 645215-214423GW
Milky Way
✔
❌
❌
❌
❌
DSO 99725-143224GW
Milky Way
✔
❌
❌
✔
❌
DSO Q994854-443134GW
Milky Way
❌
✔
❌
❌
❌
The Sleeping Princess
Milky Way
❌
❌
❌
❌
✔
DSO 343445-458943GW
Milky Way
✔
❌
❌
❌
❌
DSO 645215-2434234GW
Milky Way
✔
✔
❌
❌
❌
DSO 6343455-2464234GW
Milky Way
✔
✔
❌
❌
❌
DSO 00049584-3343GW
Milky Way
✔
❌
❌
✔
❌
EDO 110-453GW
Edelweiss
✔
❌
❌
❌
❌
EDO 123-3423GW
Edelweiss
✔
❌
❌
✔
❌
DSO 12-343GW
Fujin
✔
✔
❌
✔
❌
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.
To Model the Graviton cloud, we use the \large Б_{\mu\nu} Metric Tensor of the Metric, The cloud itself is modeled as a stochastic field of small metric perturbations around the core. A simple ansatz is:
In the extreme Kerr–Newman–de Sitter case, In the metric \large \varepsilon_0 leads to breakdown, this is where the ergosphere creates two mushroom domains at the poles of Gravitational Well and the horizon takes more tori form.
Incase it is required the local stress–energy tensor of these fluctuations, at leading order we can write:
Himers Piker and Alder Baltzov joint Metric is ansatz in attempt to try and model the probabilistic nature of Gravitational Well's interior. It draws its inspirations by Sir Roger Penrose diagrams but takes more technical approach to it
In this, the \large g^{(\mathrm{cl})}_{\mu\nu} is the classical GR background (Schwarzschild, Kerr, etc.), and \large \delta Б_{\mu\nu} metric tensor captures the quantum‑fluctuation cloud of gravitons around the core.
Schwarzschild
For Schwarzschild GW, A smooth, spherical graviton cloud envelops the Gravitino Core:
\large \varepsilon(r) is small and uniform; only the lowest \large \ell=0 spherical harmonic mode in \large \Xi_{\mu\nu} \propto Y_{00}\,e_{\mu\nu} contributes appreciably.
Kerr
For Kerr GW: The cloud bulges along the equator, an oblate spheroid in direction of rotation \large a
\large \varepsilon(r) begins to grow in the equatorial plane. Higher–\large \ell modes (e.g.\ \large \ell=2,\large \m=±2) ramp up in \large \Xi_{\mu\nu}, introducing azimuthal “ripples.”
Reissner–Nordström
For Reissner–Nordström GW: Two concentric “shells” appear, the cloud thins drastically between the inner and outer horizons, then refills inside the inner horizon.
\large \varepsilon(r) becomes non‑monotonic: a dip around \large r_{\rm outer} and a resurgence at \large r_{\rm inner}. Mode amplitudes \large Φℓm(r) peak sharply at these boundary radii, like resonance rings.
Kerr-Newman-de Sitter
In case of Kerr-Newman-de Sitter GW, The ergosphere mushrooms into toroidal, and eventually multi‑lobed—domains; the cloud ruptures into disconnected “caps”
\large \varepsilon_0 must be dialed so high (formally → \large ∞) just to keep up with the wildly varying background. An infinite tower of (\large \ell,m) modes blows up in \large \Xi_{\mu\nu}, signaling that our perturbative ansatz no longer converges.
THe key takeaway is that we are reusing the same fluctuation ansatz \large \varepsilon(r)\sum_{\ell,m}\Phi_{\ell m}(r)\,Y_{\ell m}(\theta,\phi)\,e_{\mu\nu} but as the classical background metric becomes more complex—introducing spin \large a, charge \large Q, and Cosmological Constant \large Λ, the envelope \large \varepsilon(r) and the mode spectrum \large \Phi_{\ell m} must be driven to ever‑larger values (or an infinite number of modes) just to maintain the perturbation.
In each case, the roots of “no‑solution” paradox lie in the fact that the classical infall rate
v_{\rm in}(r)
\sim \kappa\,c\Bigl(\tfrac{2GM}{c^2r}\Bigr)^\alpha can exceed \large c. As \large v_{\rm in} \to c^+ the perturbative parameter \large \varepsilon_0 must grow without bound to “counteract” the runaway background curvature.
Alder Baltzov's comment:
“Once the classical collapse outpaces light itself, no finite cloud of Hawking gravitons, no matter how densely packed, can stabilize the system. Mathematically, \large \varepsilon_0 \to ∞ is our alarm bell: it tells us that the metric ansatz i created with my partner, Himers Piker, has broken down, and that a radically new quantum‑gravity in M Cosmology framework is required.”
Gallery of Gravitational Wells
21th Century first ever direct imaging of Messier 87 "Black Hole"
Calm Accretion Disk with Haze around Old Gravitational Well
Near perfect Schwarzschild Gravitational Well
High Spin Kerr \large \vec{G}\underset{\vec{}}{G} Gravitational Well with outlines Ergosphere, and Oblateness in direction of its Spin
Extreme Charge Kerr–Newman–de–Sitter Gravitational Well, with outlined event horizon and visible ergosphere distortions
High Charge, No Spin Reissner–Nordström Gravitational Well with Both of its Horizons exposed
Extreme Kerr-Reissner-Nordström (Newman) Gravitational Well, with distorted event horizon and ergosphere
Young Gravitational Well
Very Hot, Low Density Cocoon
Much Calmer, Hight Density Cocoon
Computer Modelled Chaos of Baltzov Ring beyond Event Horizon (Extreme Kerr)
Inverted Fluxography of Kerr-Newman-de Sitter Gravitational Well, Black areas demonstrate Dome Ergospheres and torn spacetime (@Aborygen in SE discord)
Modeling Rotation around Y axis of Exposed Toroidal Kerr Core of Gravitational Well
