https://zenodo.org/records/19727806

Author: Sergey Skrynnik
Date: 2026
Version: 7.0

Abstract

This work proposes the Wave Equilibrium Hypothesis, describing the Universe as a system emerging from a state of zero balance. The fundamental form of existence within such a state is the wave — an oscillatory process in which positive and negative phases mutually compensate, maintaining the total zero. The sine wave is interpreted as the projection of rotation — the simplest expression of equilibrium and the rhythm of the zero state.

Each new dimension arises not beyond the previous one but as a nested rotation around the same center. Rotational velocity defines the base frequency, and frequency itself is the primary form of existence. The entire structure of reality can thus be described as a fractal-resonant system,
where matter, energy, and consciousness represent different levels of frequency interaction.

The centripetal force is interpreted as a universal principle underlying all forms of interaction — from elementary particles to galaxies, from matter to consciousness. On the physical level, it manifests as the force of equilibrium; on the level of perception, it manifests as Love, the inner resonance that unites all forms of being. Hence, Love and the centripetal force are two aspects of the same universal law that maintains the harmony of the Universe.

Keywords:

wave equilibrium, zero state, origin of the universe, sinusoidal symmetry, self-balancing system, matter as standing wave, harmonic creation

1. Introduction

Modern physical and philosophical approaches increasingly assume that the Universe could have emerged from “nothing.” If “nothing” is viewed not as absolute emptiness but as a balanced zero state, the question arises: what form can spontaneously appear from this state without breaking its balance? The answer may be a wave.

2. The Wave as a Form of Equilibrium

A wave is a dynamic form in which every deviation is compensated by its opposite. The positive and negative phases mutually balance each other, and the total value over time remains zero. Thus, a wave can exist within zero, embodying balance without requiring an external source of energy.

If the initial state of the world was a perfect zero, the only possible motion that preserves it is oscillation. The Universe may have begun not with an explosion, but with a fluctuation of equilibrium.

3. Why the Sine Wave

Any oscillation can be represented as a sum of sinusoidal components. The sine wave is the most stable and symmetric form of oscillation. It expresses the idea of balance: its positive and negative parts fully compensate one another, maintaining the total energy of the system.

This makes the sine wave the minimal and fundamental form of existence capable of spontaneously arising from zero. All more complex forms are combinations of these basic harmonics.

4. From Wave to Matter

If all reality is wave-like, then matter is a stable interference structure. Through interaction, waves form local regions of equilibrium perceived as particles, fields, and physical objects.
Thus, matter is a stable form of wave balance.

5. The Law of Energy Conservation as a Manifestation of Zero

Within this hypothesis, the law of conservation of energy finds a natural explanation.
If the entire system is based on the mutual compensation of phases, then the total energy of everything that exists is always zero. Energy is neither created nor destroyed — it merely oscillates between positive and negative phases, between the “crest” and the “trough” of the wave. This wave symmetry forms the basis of the observed conservation law.

6. Connection with Quantum Models

Quantum mechanics already describes particles as wave functions that include both positive and negative components. If these are interpreted as real oscillatory states of a zero field, the Universe can be viewed as a wave of zero, existing in complete energetic equilibrium.

7. Geometric Nature of the Wave: the Link Between the Sine and the Circle

The sine wave is not an abstract form; its origin is deeply geometric. It arises as the projection of uniform circular motion onto one of the coordinate axes. When a point moves around a circle with constant angular velocity, its coordinates are described by:

Considering only one coordinate (for example, y), we obtain the ordinary sine wave. This means that any wave is a partial manifestation of rotational motion, and the wave nature of matter is a consequence of an underlying cyclic process.

8. Circle, Sphere, and Dimensions

A circle is a projection of a sphere onto a lower dimension. If a sine wave is a projection of rotation, then perhaps the entire observed linear structure of spacetime is merely a projection of a multidimensional rotational state.

That is why spherical geometry and dimensionality are closely related:

• the point — zero dimension, balance, zero,
• the line — directly the sine wave, change, time,
• the circle — plane, rotation around a center,
• the sphere — rotation around a line passing through the center.

A wave can be regarded as a temporal projection of rotational motion occurring in a higher space. Such an understanding unites geometry (the circle), the wave (the sine), and time (the period) into a single system.

9. Mechanism of Dimensional Generation

A sphere represents the completed form of equilibrium within its dimension. Every point on its surface is at the same distance from the center, forming a state of perfect symmetry. However, the emergence of a new dimension is not associated with the appearance of a new center. The center remains the same — the zero point from which all rotation arises. What changes is not the location of the center, but the nature of motion — its embedding and relative velocity.

If we consider the process geometrically, then:

1. A point is balance; it is the source of change.
2. The birth of frequency — Time — is a characteristic of change, a sinusoid. For a point it is circular — increase, decrease.
3. Frequency can change. An increase in frequency relative to the original frequency to the square of the original, considering it as the initial balance, leads to the birth of dimensions. Our familiar perception is geometric perception — rotation. To account for this, it is necessary to introduce the coefficient 2π — the birth of a circle. For the frequency the relationship remains mathematically simple, but at the level of perception a process is formed — relative to rectilinearity, a circle is born. π, being irrational, does not allow the secondary process to be expressed exactly through the primary one. The more complex cannot be exactly described by the simpler. Therefore, to describe the secondary process it is simpler to introduce a new scale — a new dimension, a new perception. The primary process, meanwhile, acquires the concept of linearity with respect to the secondary. It can be said that the first ceases to understand the second; the second becomes inaccessible, indeterminate for it. Thus, against the background of mass, which ideally tends to take the shape of a sphere, space acquires linearity, and time takes the form of an arrow of time.
4. A further increase in frequency leads to the appearance of volume for space and the emergence of the concept of mass. The circular rotation of the plane dimension now turns into a straight line for the next process. Here, another increase in frequency occurs — frequency multiplied by frequency, squaring the second obtained. That is, for the original frequency we obtain its fourth power. In this case, connections of mass are formed through three connections with the original balance, the point — three coordinates — and, with respect to the plane, rotation — the birth of mass.
5. To understand how the next dimension arises, it is necessary to imagine a new rotation relative to an already existing rotation. At this level our three‑dimensional perception reaches its limit: we are able to imagine rotation in three mutually perpendicular planes,
   but we are not yet able to perceive a fourth axis.

Each subsequent dimension does not add an external axis, but increases the level of relative rotation speed, raising the maximum frequency relative to the base. If the first rotation is associated with the speed of change c, then the second will already be associated with the initial speed of change as c², the third — c⁴, the fourth — c⁸. This creates a hierarchy — a perception of the frequency structure, in which each new dimension is the result of the acceleration of the previous frequency.

Perception is born at the level of consciousness, so we can say that for us there is a certain base frequency. All forms of existence are interactions of waves of different frequencies. The world can be viewed as a system where each structure is the result of resonant connections between these frequencies. Equilibrium arises when waves of different levels of “rotation” are in harmonic proportion, and it is this resonance that holds together, creating the overall picture of the observed Universe in a state of unified balance.

Thus, dimensions are a hierarchy of nested rotations of frequencies, linked through resonance. Each new dimension is a new level of relative motion with an unchanged center — zero — which maintains the equilibrium of the entire system.

Formally, the process can be expressed as:

where Dₙ is the form of the current dimension,
and R — the operation of embedded rotation (increase of frequency) around the same center — zero.

Thus manifests the principle of fractal rotation of zero — the gradual self-unfolding of equilibrium through frequency levels of motion. All forms of existence, from particles to galaxies, are resonant expressions of this single universal process.

10. Relation to Human Systems and Perception

Consciousness, like matter, can be considered as a wave equilibrium capable of transitioning to a new level, increasing the speed of perception and frequency. This is how the expansion of awareness occurs — the birth of a new dimension within perception.

In the article “The Birth of Dimensions and the Perception of Fractality” (https://zenodo.org/records/19305264), it is noted that consciousness, against this background, acts as an active source. By expanding its perception, it “probes” the environment through its “radiation,” thereby gaining an understanding of what is happening. The process is active, which leads to a change in the UNIVERSE, to the continuation of the process of change.

At the level of consciousness, the process of perceiving each new level of dimension is formed through a new physical quantity.

11. Frequency as the Primary Form of Existence

Considering the structure of the Universe as a system emerging from the zero state,
one can make an essential clarification: the primary element of this system is not motion or geometry, but frequency.

Frequency expresses the rhythm of zero equilibrium — the mutual oscillation of the positive and negative aspects of being. It does not require extension, form, or spatial localization; it exists as a relation, as the very possibility of transition between states.

Rotation and motion are projections of frequency into dimensions where form becomes observable. What we call rotation is the geometrization of frequency, and the sine wave is the visible imprint of this process within the plane of perception.

Thus, everything we perceive as form, motion, or matter is a manifestation of interacting frequencies bound through resonance.

Dimensions arise where frequencies interact.

It follows that frequency is the primary essence of existence, and the entire Universe is a process of maintaining the harmonic equilibrium of frequency states.

Conclusions

1. The Universe can be regarded as a system that emerged from a zero equilibrium state, where the wave is the primary mode of existence.
2. Rotation and sinusoidal forms are projections of frequency, allowing the structure of zero to be perceived as if it were space.
3. Each new dimension is born not by adding an axis, but by increasing the frequency of change — through an embedded level of resonance.
4. Everything we are able to observe is determined by our own base frequency of change, which sets the base speed of interaction, while all forms of matter and energy result from the interaction of different frequencies.
5. Geometry is not a cause but a consequence of frequency interactions — a frozen form of rhythm.
6. The equilibrium of the system is achieved through the harmony of frequencies, which at the physical level manifests as stability, and at the philosophical level as Love — the force of attraction and connection. From a geometric perspective, one can say that there is only one force: centripetal force.
7. The law of conservation of energy is a consequence of the symmetry of the zero state.

Formally expressed as:

Frequency is primary, form is its consequence, and resonance is the language through which the Universe expresses its equilibrium.

Philosophical Interpretation of the Centripetal Principle

If rotation is considered the primary act of motion, then it is the first building block of interaction on the physical level. Every form of movement tends toward the center — and in this, the centripetal force manifests itself, which is, in essence, the only fundamental force in the Universe. All other forces can be regarded as particular manifestations or decompositions of this principle — similar to how a complex wave can be represented by a Fourier series as the sum of simple harmonics.

The centripetal force maintains the equilibrium of all levels — from the elementary particle to the galaxy, from physical motion to the processes of consciousness. It binds everything that exists into a single structure, preventing the system from disintegrating.

At the level of consciousness, this same principle manifests as the force of Love — an inner attraction, a striving for unity, a desire to return everything to the center from which all has arisen. Love is a reflection of the very same law that, in physics, is expressed as the centripetal force.

Thus, rotation is the form of expression of frequency, the centripetal force is the manifestation of equilibrium, and Love is the conscious side of this law.

On the physical level, it holds matter together; on the spiritual level, it unites consciousness; and as a whole, it sustains the balance of the Universe as a single entirety.

Related Works and Publications by the Author

The proposed model is part of a series of interconnected studies in which the conceptual foundation of the approach is consistently developed and refined. Certain aspects used in this work are presented in a condensed form and are discussed in more detail in the referenced publications.

1. Reflections: Belief, Disbelief. SPIRIT and Matter
   https://zenodo.org/records/20032688
   — a philosophical and ethical work outlining the initial ideas and the general worldview context.
2. Energy as a Fundamental Reality: From Points to Processes
   https://zenodo.org/records/17170686
   — development of the ontological foundation, where physical reality is considered as a set of processes rather than static objects.
3. Wave Equilibrium Hypothesis: The Universe as a Balanced State of Zero
   https://zenodo.org/records/19727806
   — consideration of a possible mechanism for the emergence of physical reality.
4. Birth of Dimensions and Perception of Fractality
   https://zenodo.org/records/19695379
   — description of the mechanism for the formation of the structure of dimensions and scale levels.
5. Consciousness as a Wave Structure: A Possible Connection Between Brain Frequencies and Frequencies of Perception
   https://zenodo.org/records/19839850
   — exploration of the possible role of consciousness within the proposed model.
6. Wave Model of Matter Structure and the Fractal Structure of the Universe
   https://zenodo.org/records/19703486
   — the core of the physical part of this series of works.
7. A Simple Picture of Gravity Through Fields and Gradients
   https://zenodo.org/records/20117425
   — interpretation of gravitational effects within the wave-based approach.

The present work builds upon the results presented in these publications and develops them within a unified interpretative framework.