Preface to Natural Gravity Theory
The present is the only world of existence. If we live in the present, this will be sufficiently enriched and harmonious. It will be possible.
Greetings
Udynamics develops the physics of vibration substance theory and wave essentialism based on this proposition, a new scientific philosophy that comprehensively reinterprets the universe, nature, and humans.
Oscillation creates phase, phase constitutes space, and space is a self-structured expression of energy. The Oscillator, which is substance, forms space through the movement of phase, and the alignment of phases becomes the source of gravity, movement, and order. We propose "Copmlex Oscillator Dynamics"based on Ontological Natural Dynamics" beyond the conventional physics centered on time and force.
The core theories of Udynamics are as follows:
Oscillator Substance Theory: Existence is oscillator, and an oscillator is a substance that has dynamic self-organization.
Wave Essentialism: Wave is the geometric essence of space.
Complex Gravitation Theory: Gravity is the balanced motion of (+)(–) topological potential.
Complex Spherical Cosmology: The universe is a substance that has necessarily evolved into a topological spherical structure.
Riemann 1/2 Principle: The core law of gauge symmetry and topological balance of the universe.
We continue to share these innovative theories that approach the reality of the universe, integrate classical mechanics, quantum mechanics, and cosmology, and propose an ontological scientific methodology suitable for the AI era.
We invite you to this oscillating cosmic journey.
"A Revolution in Physics: From Atoms to Quantum, from Quantum to Oscillator.
The Oscillator is the entity and the whole, the beginning and the end."
November 4, 2024
Jason Kuhyun Ryoo
NEW
2025-07-10
Unified Complex Oscillator Dynamics (COD)
Complex Gravitaty Theory
1. Unified Complex Oscillator Theory
If classical mechanics is integrated into a complex system based on geometric (+)(–) complex gauge symmetry, the macro and micro worlds can be treated as the same natural dynamical energy density field. This makes it possible to naturally accept quantum theory and wave theory.
2. De Broglie's matter wave theory (1924)
$$ \lambda = \frac{h}{p} $$
This is a theory that has undergone high accuracy and experimental verification.
$$ E = f h $$
Here, energy \( E \) is traditionally viewed as a force (work) or a particle property, but it can essentially be understood as an oscillator. This is a viewpoint that sees waves as a mathematical interpretation of oscillations and particles as a localized condensation of superimposed oscillators.
3. Schrödinger equation (1925)
Based on de Broglie's idea, Schrödinger mathematically described the wave nature of matter.
Time-dependent:
$$ i \cdot \frac{h}{2\pi} \cdot \frac{\partial \psi(r,t)}{\partial t} = \hat{H} \psi(r,t) $$
Time-independent:
$$ \hat{H} \psi(r) = E \psi(r) $$
4. Principle of Time Non-Reality
Time is just a calculation value that humans use when necessary, and changes are not the flow of time, but changes in the spatial phase distribution \( \phi(r) \).
Static state: \( \nabla \phi(r) = 0 \)
Dynamic state: \( \nabla \phi(r) \ne 0 \)
Time Axis Errors and Overlooked Phase Dynamics
1. Physical existence was traditionally understood as unfolding in a straight line along the time axis. This limited the three-dimensional spatial world to a framework that interpreted it only as a linear causal structure.
2. As a result, the dependence on time coordinates caused continuous inefficiency in scientific cognition. The spatial phase dynamics which is the actual structure of existence was excluded. And an abstract world cognition that was far from intuition became mainstream.
3. Motion is not a function of time, but, as we can see, an alignment of spatial phases.
5. Theory of Wave Essence
Particles are condensed waves, and their essence is waves. Humans perceive waves as particles for the sake of perceptual efficiency.
$$ \psi(r) = A(r) \cdot e^{i \omega r} $$
Existence can be interpreted singly as a complex wave, and there is no uncertainty.
The entity of a wave is a complex oscillator.
This concept is mathematically expressed as the following complex wave function.
$$ \psi(r) = a(r) \cdot e^{i\theta(r)} $$
Here,
- \( a(r) \): represents the real amplitude at position \( r \) → energy density size.
- \( \theta(r) \): represents the phase at position \( r \) → potential energy and directionality of motion.
Therefore, this complex wave function expresses both the amplitude and the phase structure of the energy that constitutes existence, and it enables an ontological innovation in physics that interprets the reality of energy as an “Oscillator” with a phase structure rather than an abstract “Quantum.”
Ontology of Complex Oscillator
1. Definition of an Oscillator
An oscillator is defined by its amplitude \( A \) and phase \( \theta \). The spatial oscillation is expressed as follows:
$$ \Psi(r) = A \cdot \left[\cos(\theta) + i \cdot \sin(\theta)\right] $$
Here \( \theta \) represents the spatial phase position, which is generally \( \pm\frac{\pi}{2}, \pm\frac{\pi}{4} \).
The oscillator has its own symmetrical balance principle, and is aligned with the overall gauge symmetry.
2. Phase Balance on the Riemann Sphere
Observers placed on the complex Riemann sphere satisfy the following phase balance condition:
Observers have geometric symmetry as individuals, and are united with the overall geometric gauge symmetry.
$$ \text{Re}(\Psi) = \frac{1}{2}, \quad \theta \in \left\{ \pm\frac{\pi}{2}, \pm\frac{\pi}{4} \right\} $$
3. Complex Oscillator Theory
A complex oscillator is a (+)(–) energy pair structure with a 90 degree phase difference.
$$ \psi(r) = E_-(r) + i \cdot E_+(r) $$
$$ \psi(r) = A(r) \cdot e^{i(\omega r + \frac{\pi}{2})}, \quad |\psi(r)|^2 = \text{Constant Energy} $$
This complex oscillator is an autonomous oscillator that expresses energy conservation and spatial motion without time, and is the fundamental unit of the universe.
The complex oscillator theory includes the Standard Model (gauge symmetry) and quantum field theory (particle = local oscillation of fields), and integrates energy motion based on gravity, time, and phase. It forms the basic mathematical structure of the "Theory of Everything".