From Source to Attractor: 5D-Elastic Vacuum and Macro-Quantization of Orbits
Continuum Mechanics in Astrophysics: Rejecting Dark Matter
Danyl Goldberg

© Danyl Goldberg, 2026

ISBN 978-5-0071-3570-2

Created with Ridero smart publishing system

Introduction. The Crisis of Patches and the Illusion of Emptiness

Everything commenced on a most ordinary evening. Sitting before a screen, casually browsing the recommendation feed on YouTube, I encountered yet another popular-science dispute. On the screen, two brilliant minds of contemporary science — an eminent theoretical physicist and a renowned astronomer — ardently discussed superstring theory, quantum gravity, and the enigmas of dark matter. They manipulated dizzying formulations designed to explain all phenomena, expounding on unobservable substances governing galaxies and on how elegantly and intricately our Universe is structured.

I listened to them, and a strange, intuitive resistance mounted within me. At a certain moment, it distinctly clicked in my mind: «Stop. Nature cannot be so cumbersome and preposterous. You are attempting to untangle a knot on a plane by introducing ever newer invisible threads, simply because you flatly refuse to notice the obvious volume.»

If you open any contemporary textbook on fundamental physics, it will appear that you are reading a monumental treatise in which everything has long been systematically classified. Yet, if one looks behind the scenes of theoretical science, setting aside reverence for Nobel Prizes, one observes a picture reminiscent of panic on a sinking ship. Contemporary science, having endowed us with lasers, smartphones, and atomic fission, has stalled at the most fundamental level in a profound conceptual impasse.

This impasse can boldly be termed the «Era of Mathematical Patches.»

Let us be honest with ourselves. Over the past half-century, fundamental physics has not provided a single breakthrough, unifying answer as to how reality is truly woven. Instead, it has confronted the fact that its two principal pillars — Albert Einstein’s General Theory of Relativity (describing the macrocosm and gravitation) and Quantum Mechanics (describing the microcosm) — mathematically detest one another. As soon as you attempt to combine their equations to describe, say, the center of a black hole or the moment of the Big Bang, the formulas break down, yielding infinities and absolute nonsense. These theories exist as two disparate languages that the Universe, for some reason, refuses to speak simultaneously.

What does a healthy science do when its foundation cracks at the seams? It re-evaluates the foundation. What did official physics do? It began inventing mathematical «crutches» and «patches.»

The Accounting of Dark Matter

Consider how this occurs in physical reality. In the mid-twentieth century, astronomers measured the rotational velocity of galaxies and were astonished. It was revealed that stars at the outer margins of galactic disks move at such extreme velocities that centrifugal force should have torn these galaxies apart long ago. The gravitation of the entire visible mass of stars, gas, and dust was fundamentally insufficient to hold them together. Under the inviolable laws of Newton and Einstein, galaxies should have disintegrated.

How would genuine science have acted? It would have acknowledged: our understanding of gravitation at macro-scales is incomplete, the law of gravitation operates differently, and we require a new mechanics of space.

How did official physics act? It fabricated an invisible mass. Researchers merely added a hypothetical substance — «Dark Matter» — into the equations. It was declared to us that the Universe is filled with a certain substance that neither emits light nor reflects it, does not interact with our instruments in any way, yet miraculously possesses colossal gravity. And to explain the accelerated expansion of the cosmos, another gigantic patch was superimposed on top — «Dark Energy.»

Consider the scale of this absurdity. Modern science proudly declares that it understands the structure of the world, yet openly concedes that 95% of this world consists of a «dark entity» about whose nature it has not the slightest comprehension.

Dark matter is not a physical discovery. It is an act of accounting desperation. Consider an accountant whose debits fail to match credits by an enormous sum. Instead of searching for an error in the calculation formulas, he simply enters a line titled «Invisible Money» into the ledger and proudly balances the account. This is precisely how astrophysics operates today. We construct cyclopean underground detectors, expend billions of dollars attempting to detect a Dark Matter particle, and obtain a consistent null result for decades. It is impossible to find that which does not exist. It is merely a crutch preventing the equations from collapse.

Mathematical Gymnastics of String Theory

In the microcosm, the situation is no better. Attempting to reconcile gravitation with quantum mechanics, theoretical physicists formulated String Theory. The premise appeared elegant: the fundamental building blocks of the universe are not point-like particles, but minute vibrating energy filaments. However, when mathematicians commenced formulating equations for these strings within our conventional four-dimensional manifold (three spatial dimensions and one temporal dimension), the mathematics collapsed, generating negative probabilities and chaos.

To rescue the formulations, theorists were compelled to resort to a drastic measure: they artificially introduced additional dimensions into the equations. Initially, 10 dimensions were required, subsequently 11.

Where are these dimensions located in physical reality? Why are we constrained to translate exclusively upward-downward, left-right, and forward-backward? Physicists, without hesitation, responded: «The remaining six dimensions are mathematically compactified into microscopic, invisible knots at such sub-microscopic scales that they remain fundamentally unobservable.»

Once again, an invisible patch! Dimensions were introduced solely to achieve numerical consistency on paper, and subsequently concealed from reality within a mathematical pocket. String Theory generated the celebrated «landscape» comprising 10^500 viable vacua of the multiverse, failed to yield a single verifiable physical prediction, and over four decades devolved into an elegant yet entirely detached mathematical religion.

Nature does not operate in this manner. It does not multiply entities beyond necessity, nor does it conceal entire spatial dimensions merely to ensure that a theorist’s calculations converge upon a blackboard. Nature consistently tends toward absolute harmony, fractality, and the path of least action.

The Death of the Illusion of Emptiness and Occam’s Razor

The root of all these crises, inconsistencies, and paradoxes lies in a single fundamental error of human perception that has persisted through millennia. This error is termed the Illusion of Emptiness.

Since the era of Ancient Greece, we have grown accustomed to regarding the cosmos as an empty black box, an absolute vacuum within which stars, planets, and atoms drift like billiard balls. We posit that space is merely a vacant stage, while matter consists of autonomous actors upon it. Even Einstein, who provided us with curved spacetime, left it as a mathematical abstraction — an emptiness that somehow possesses the capacity to curve, yet lacks intrinsic physical density. Standard physics considers matter (for example, electrons) to be point-like objects devoid of physical dimensions, yet miraculously endowed with mass and an intrinsic orientation of rotation. Can a point lacking volume truly rotate about its own axis?

The time has come to apply Occam’s Razor — the paramount scientific principle stating that the simplest and most logical explanation is most frequently the correct one. We must strip physics of the veneer of fictitious entities and discard abstract fields, virtual particles, and invisible matter.

In this book, I present a framework that fundamentally transforms our comprehension of reality. We designate it The Open Door Theory. At its foundational core lies the radical, definitive demise of emptiness.

Relinquish the concept of empty space. Our entire Universe constitutes a solid, continuous, physically dense, and extraordinarily elastic medium. It is a colossal 5D-Elastic Continuum (framework), tensioned to extreme resonance.

Consider a deep-sea fish that spends its entire existence navigating the dark depths of the ocean. For this entity, water is not perceived as a physical object. Water represents «emptiness» itself, because the organism knows nothing else. It remains unaware of the water until a powerful vortex forms within it, or until a shock wave traverses the medium. We are precisely analogous organisms inhabiting an invisible ocean of the 5D-Elastic Continuum.

Within this medium, matter does not consist of foreign stones cast into water. Matter is the water itself. An elementary particle is not a solid sphere; it is a Topological Soliton, a stable vortex, a tightly bound knot formed from the filaments of this very elastic continuum. Furthermore, that which we define as «mass» is merely a metric of how tightly this knot is drawn and how strongly it tensions the elastic fabric of space surrounding it.

As soon as we abandon the notion of «emptiness» and adopt the concept of an elastic 5D-medium, the entire house of cards of classical paradoxes collapses, and physics instantly aligns into its proper order.

One no longer needs to fabricate Dark Matter, because gravitation ceases to be a magical action-at-a-distance attraction. It becomes a literal, mechanical gradient of tension within the 5D-framework. This tension propagates not stochastically, but in the form of Spherical standing Bessel waves. The orbits of celestial bodies adhere to the rigorous laws of these elastic waves, settling into mathematically precise nodal troughs. I will present concrete, verifiable calculations of the astronomical algorithm (SOLCOREX-5D) that mathematically and impeccably demonstrate this wave nature of Macro-quantization of orbits without a single gram of fabricated Dark Matter. Our mathematical formalism, in contrast to the mathematics of string theorists, directly corresponds to the observational cosmos.

Architecture of the Six Levels: A Brief Guide Through the Labyrinth

The complexity of the universe does not represent a chaos of multiverses multiplying at every flutter of a butterfly’s wing, nor does it constitute an accumulation of ad hoc crutches. It is a sequential transition from a zero-dimensional potential to a multidimensional labyrinth along rigorous, functional stages, which ultimately closes elegantly upon itself. To comprehend the structure of this elastic Universe, we shall traverse the trajectory from the very origin to the terminus.

Here is the itinerary of our forthcoming investigation:

— Level 0 (0D): The Source-Point (0D Source-Point). We commence where neither space nor time exists. An absolute informational potential devoid of polarity. We shall refute the myth of a singularity possessing «infinite density» and examine how the fundamental primary frequency is generated from a dimensionless zero.

— Levels 1—3 (1D → 3D): Topological Phase Shift and Ergodic Unfolding. We shall observe how the primary shift of the Source leaves an informational trace — a one-dimensional vector (1D String). We shall grasp how the hyper-velocity vibration of this fundamental axis stochastically «hatches» a localized volume. Three-dimensionality is not an empty container; it constitutes an ultra-dense holographic scan-frame of unfolding.

— The Anatomy of the Vortex (The Genesis of Matter). We definitively abandon the elementary pedagogical narrative of the atom wherein electrons orbit the nucleus analogously to planets. You will observe how topological solitons nucleate, and why intrinsic spin and mass represent merely the geometry of knot torsion within the 5D-Elastic Continuum.

— Level 4 (4D): The Arrow of Time and the Navigator of the Labyrinth. We shall invert your perception of time. You will discover why time does not flow, and why your consciousness operates as a «3D-Scanner (Navigator),» reading pre-existing layers of reality within a static multidimensional graph — the Crystal of Time. We shall disclose the authentic physics of Free Will: how we operate as a quantum frequency tuner, selecting our trajectory toward the future without the absurd physical proliferation of parallel worlds.

— The Fifth Dimension (5D): The Elastic Universe and Macro-quantization. The core of our physical framework. We demonstrate how the elastic tension of the 5D-Elastic Continuum generates Spherical standing Bessel waves. We deliver a decisive strike against Dark Matter by demonstrating that the Kuiper Cliff, the perihelion of Sedna, and the orbital parameters of the hypothetical Planet 9 are rigorously determined by the mathematical resonances of the elastic vacuum.

— The Sixth Dimension (6D): The Topology of the Absolute (The Wheel). The terminus of the architecture. We ascertain why the boundary of the Universe resides within your cognition. If the 4D world represents the rim of a wheel, then in 6D, spokes extend from every point thereof toward a unified 0D hub (6D-Wheel (Attractor Topology)). We resolve the mystery of quantum entanglement and resolve the 6D paradox through the concept of the Coherence Barrier: why unconstrained quantum vortices perceive one another instantaneously across arbitrary spatial separations, whereas massive macroscopic configurations remain permanently confined within the 4D rim.

— Beyond the Attractor (Null-Matrix). At the ultimate conclusion, we peer beyond the boundary of our Universe and examine the Multi-Fountain concept — an ocean of potentials wherein domains characterized by entirely distinct baseline fundamental frequencies can exist.

This volume is not an endeavor to append another mathematical patch onto obsolete dogmas. It constitutes a proposal to dismantle the destabilized structure of the classical paradigm and erect in its stead a pristine, geometrically rigorous engineering of the cosmos. Nature tends toward harmony and parsimony. Complexity emerges solely when we examine physical phenomena through a distorted lens.

The Universe does not consist of fragmented debris from an ancient blast propagating into an empty void. It constitutes a continuous, magnificent fountain. Each observer perceives themselves merely as an isolated droplet traversing darkness. Yet, ascending through the tiers of The Open Door Theory, we shall encompass the entirety of the stream.

An essential caveat: I intend to maintain absolute intellectual integrity with the reader. This monograph does not attempt to impose a novel religious dogma or claim possession of absolute, final veracity. The constructs of the 0D Source-Point and the 6D-Wheel (Attractor Topology) represent a rigorous physical-topological étude, a thought experiment extending the logic of spatial dimensions to its absolute, complete realization. None among us has journeyed past the perimeter of the Universe to empirically probe the Null-Matrix. Nevertheless, the rigorous mathematical formalism of the five-dimensional elastic vacuum and Bessel waves (which we analyze comprehensively in Chapter 4) operates impeccably and yields verifiable astrophysical predictions. Furthermore, from the existence of an elastic 5D fabric, topological consequences emerge with inevitability, necessitating the closure of the system. This theory constitutes not an indictment of historical science, but an invitation to academic discourse. It is an endeavor to examine the accumulated enigmas of quantum mechanics and gravitation through the prism of pure geometry, fractality, and fundamental physical logic.

The door is open. Physics will never remain the same.

Chapter 1. Genesis from Zero: The Geometry of Primordial Tension

The Source (0D): Absolute Potential Devoid of Polarity

Endeavor to execute a straightforward thought experiment: close your eyes and conceptualize absolute, primordial emptiness.

Most probably, your imagination will delineate an infinite black cosmos, a dark and frigid vacuum devoid of stars, planets, or a single atom. Yet physics demonstrates that this depiction is fundamentally erroneous. The physical vacuum is not emptiness. It constitutes a turbulent ocean endowed with physical properties. Furthermore, this very «black cosmos» already possesses volume. It possesses directional vectors: left and right, up and down, forward and backward. It constitutes an already realized three-dimensional stage, merely vacated of actors temporarily.

To comprehend the authentic genesis of the Universe, we must take a step backward. We must completely eradicate the stage itself. Remove volume. Remove the plane. Remove lines. Conceive a reality wherein neither left nor right exists, neither yesterday nor tomorrow. Even the very concept of «space» is absent. There remains solely a singular element possessing neither width, length, nor height.

This is a geometric point. Dimension Zero (0D).

In conventional cosmology, it is generally accepted that the Big Bang originated from a singularity — a point characterized by «infinite density and infinite temperature,» into which the entire mass of the contemporary Universe was somehow compressed. Yet human cognition falters before the concept of «infinity.» Infinity in physics consistently signifies that the theoretical framework has broken down. It is a mathematical aberration behind which academics obscure their lack of understanding of the process. How can billions of galaxies be compressed into a point lacking physical dimensions? The answer is straightforward: they cannot.

Within the framework of The Open Door Theory, we definitively abandon this absurdity. The 0D Source-Point is not a minute physical entity, nor is it a compressed sphere of matter. It is a singularity of pure informational potential.

Within its interior, there is no compressed space, but within it resides the entire compressed information regarding what this space can become. At this stage, even energy in our conventional understanding does not exist (for energy constitutes a characteristic of frequency and time, and time does not yet exist). Within the Null-field, polarity is absent: there is neither «plus» nor «minus,» no charge, no mass. Any polarity necessitates spatial separation between two entities, whereas the 0D Source-Point is absolutely monolithic.

Conceive a taut bowstring prior to the release of an arrow into flight. Within the bowstring itself, there is not yet motion, nor traversed displacement. Yet within it already reposes the colossal potential of prospective flight. The 0D Source-Point is precisely the frozen bowstring of the Universe.

Yet how does this static zero convert into something tangible? How does «Nothingness» execute the primary step toward the synthesis of «Everything»? If the point is entirely stationary, the Universe is destined to remain an unsealed archive perpetually. The system necessitates an internal shift.

And as soon as the 0D Source-Point executes its very first, microscopic oscillation, the geometry of the world is irrevocably transformed.

Topological Phase Shift (1D): How Frequency and the Arrow of Time Are Born

Here we encounter the fundamental paradox of the beginning of time. If the 0D Source-Point possesses no dimensions, if there is no space surrounding it, how can it execute a displacement at all? It has no trajectory into which to propagate.

The answer resides in the concept of the Topological Phase Shift. The Source does not traverse a void, because no emptiness exists. It executes a primordial quantum tension within its own interior. It executes a «step» — and this action intrinsically generates direction.

Conceive an ideal, resonant silence. It contains neither sound nor displacement. Suddenly, within this abyss, the primary, powerful, rhythmic stroke resonates — analogous to a dense, profound fundamental percussion impulse. This primordial quantum displacement constitutes the Topological Phase Shift. The Source oscillates: compressing and expanding, advancing forward, and returning backward.

This elementary cycle generates the most fundamental characteristic of our world — Frequency.

In conventional physics, it is accepted that time is a certain river that flows autonomously, or a coordinate existing independently of matter. Within The Open Door Theory, we assert the contrary: time as a distinct entity does not exist. At the precise instant when the 0D Source-Point executed its initial Topological Phase Shift, time was generated. Because to execute a bidirectional translation, the system already requires the notions of «before» and «after.» This displacement itself constitutes the arrow of time.

The intensity and rhythm of this primordial pulse establish the fundamental parameters for all subsequent physics. Had this impulse been marginally weaker or of lower frequency, the Universe would oscillate at a distinct frequency. Electrons would possess a different charge, gravitation would operate otherwise, and the speed of light would be entirely divergent. However, the impulse was established precisely as we observe it.

And through executing this oscillation, the 0D Source-Point ceases to be merely a point. It leaves a trajectory in its wake.

What remains when a finger traverses a fogged glass surface? A trace. What remains when a spark traversing the dark inscribes the nocturnal sky? A luminous, continuous streak. The spark itself no longer occupies the beginning of the trajectory, yet the observer registers a continuous, unbroken line.

Within The Open Door Theory, this phenomenon is formalized into a rigorous geometric law. When the 0D Source-Point executes a Topological Phase Shift, it maps its state across the vector of its primordial pulse. This informational trace constitutes our first dimension. A one-dimensional line. The 1D String.

We categorically reject the framework of String Theory, wherein a string is treated as a physical entity, an elastic filament drifting within a vacuum. Our fundamental 1D String is not an object. It represents the informational memory of the motion of the Source. It is the geometry of its oscillation, fixed in the form of an axis. It possesses colossal internal tension, because it tends to revert to its initial, unperturbed state — to collapse back into Zero.

The String is generated. It possesses solely one coordinate — length. However, the system cannot remain confined within a single line. Having acquired such a colossal energetic impulse, the system inevitably undergoes a transition to the next level of geometric complexity.

Ergodic Unfolding (3D): The Illusion of Emptiness and the Genesis of the Hologram

How does one obtain from a one-dimensional thread (1D String), devoid of thickness, our dense, tangible three-dimensional world (3D) with its boundless galaxies, planets, and our own physical bodies?

String theorists encountered an impasse here, proceeding to invent compactified 10 dimensions and stretching mathematical membranes across them. We shall not pursue the path of absurdity. The resolution resides in a physical process that we designate Ergodic Unfolding.

Recall our initial Topological Phase Shift. The 1D vector does not merely suspend in nonexistence — it oscillates at the frequency of the Source. Now conceive that the velocity of this oscillation attains transcendent, Planckian magnitudes (billions of billions of oscillations within the minute fraction of a second).

Conceive a dark room wherein an observer rotates a sparkler with extraordinary velocity. The visual apparatus will not resolve an isolated spark. You will observe a dense, luminous three-dimensional sphere. Should the angular velocity approach infinity, this sphere will appear entirely solid. Striking it with a hand, one would experience resistance, even though in physical actuality solely a single minute spark exists; it merely succeeds in traversing every spatial point of this volume faster than the hand can penetrate through it.

Precisely this phenomenon occurs with the fundamental 1D vector. It executes an oscillation so stochastic and hyper-luminal across all orientations that it succeeds in «hatching,» entirely occupying the local spatial volume with its trajectory.

Our 3D world is not an empty container into which matter was introduced. It constitutes an ultra-dense, oscillating holographic scan-frame, woven from the continuous, uninterrupted scintillation of a singular fundamental thread.

This process of ergodic filling definitively eradicates the myth of emptiness. The space surrounding you at this very moment — the air that you inhale, the displacement from your face to the screen, the cosmic vacuum separating stars — is not a vacant void. It constitutes a monolithic 5D-Elastic Continuum vibrating with tension (we shall address the fifth dimension subsequently, when treating gravitation).

Precisely for this reason, any endeavor of contemporary physics to describe the universe as an ensemble of isolated spheres propagating within an empty vacuum is doomed to failure. We exist within a continuous elastic continuum. Furthermore, that which we have grown accustomed to classifying as «solid matter» represents merely specific localized vortices, knots within this dense, luminous fabric.

As soon as we comprehend the mechanics of Ergodic Unfolding, we are prepared to approach the paramount question: how do electrons, protons, and atoms nucleate within this monolithic elastic medium? The time has arrived to definitively dispel the elementary pedagogical myth of the planetary model of the microcosm and investigate the authentic anatomy of elementary particles.

Chapter 2. Anatomy of the Vortex: Why Matter Is an Illusion of the Vacuum

Dismantling Pedagogical Myths: The Terminus of the Planetary Narrative

Should one detain any educated individual in the street and request a diagrammatic representation of atomic architecture, they will, with absolute certainty, delineate a miniature Solar System. At the center will reside a dense agglomeration of protons and neutrons (the nucleus), around which, along elegant elliptical trajectories, minute spherical electrons circulate. This depiction is reproduced in secondary educational textbooks, utilized as an insignia of nuclear energetics, and irrevocably integrated into public consciousness.

This visually appealing paradigm, postulated by Rutherford and Bohr over a century ago, possesses merely a singular deficiency: within physical reality, it is entirely and fundamentally flawed.

From the standpoint of rigorous physical principles, the planetary atomic model represents a catastrophe. The laws of classical electrodynamics dictate that any charged entity undergoing acceleration (wherein circular orbital motion constitutes continuous centripetal acceleration) must necessarily emit electromagnetic radiation, thereby dissipating kinetic energy. Had the electron genuinely orbited the nucleus analogously to a planet, it would have expended its entire energy budget on radiative emission, subsequently collapsing into the nucleus within a hundred-billionth fraction of a second. The totality of matter within the Universe, including our organic bodies, would have collapsed into nonexistence within an infinitesimal interval. Yet macroscopic physical reality persists. Atoms remain stable.

Furthermore, conventional physics asserts that the electron is a «point-like particle.» That is, an entity possessing a well-defined invariant mass and an intrinsic angular momentum (spin), whose physical dimension is nonetheless mathematically identical to zero. This configuration represents an analytical paradox that institutional academia attempts to obscure. How can an entity devoid of volume execute rotation about its intrinsic axis? How can a dimensionless point possess inertial mass?

Quantum mechanics attempted to rectify this depiction by asserting that the electron is not a particulate sphere, but an abstract «probability density cloud» parameterized via Schrödinger’s equations. Yet it fundamentally failed to resolve the paramount query: precisely what constitutes this cloud? What represents the physical substrate of this matter?

To attain the resolution, we must definitively renounce the concept of an empty Universe populated by solid, point-like entities. We are compelled to acknowledge: matter, in the classical formulation we have routinely conceptualized, does not exist.

Topological Solitons: The Genesis of Matter from Tension

Let us recall the conclusion of the preceding chapter: the space surrounding us is not emptiness, but a colossal 5D-Elastic Continuum, a dense ergodic fabric oscillating at transcendent velocities.

If emptiness does not exist, whence do particles originate? The solution resides in the geometry of this very medium.

Conceive a rapid, uniform, and deep river. The water within it flows smoothly and homogeneously. Suddenly, due to an uneven bed morphology or the collision of currents, a vortex nucleates on the water’s surface. This vortex is stable, it possesses distinct contours, it rotates, and it can even displace along the river while preserving its configuration. Observing it from above, it appears to the observer as a discrete, autonomous object. One can quantify its diameter and rotational velocity.

Yet of what does this vortex consist? It contains nothing apart from the water itself. It is not an extrinsic object cast into the river; it constitutes a specific geometric curl of the medium itself.

Within The Open Door Theory, any elementary particle — be it an electron or a quark — represents precisely an analogous vortex, emerging not in liquid water, but within the continuous fabric of the 5D-Elastic Continuum. In topological physics, such entities are designated Topological Solitons.

The electron is not a microscopic billiard ball. It is a stable vortex, a localized knot tightly bound from the filaments of the fundamental spatial framework.

This framework instantaneously resolves all classical paradoxes:

— Why does the electron not collapse into the nucleus? Because it does not «propagate» anywhere. The electron within an atom is not a ballistic projectile; it is a standing spherical wave of tension within the vacuum, localized around the nucleus. It cannot collapse, precisely as a vortex cannot «collapse» into a river — it constitutes an intrinsic component of it.