Tatsuya Dejima Official Site

Introduction: The Dual Perspective of a Seeker

With the “microscopic logic” of an R&D engineer responsible for over 350 inventions and the “macroscopic intuition” of a progressive composer/guitarist, Tatsuya Dejima reached a singular point of convergence. He realized that the universe is not merely a collection of matter, but a grand symphony performed by a single, fundamental mathematical formula. This is the record of his “enlightenment”—the moment he broke through the limits of existing mathematical models to reach the First Equation of the Universe.

---

Part 1: The Wall of “Artificiality” in Existing Models

Previous attempts to describe cosmic complexity were beautiful, yet they all carried the scent of “man-made” constructs. Dejima’s engineering intuition rejected these based on their lack of natural continuity.

1. The Limit of Cellular Automata — The “Death” of Periodicity

Cellular Automata, where patterns emerge from grid-based rules, appear complex at first. However, Dejima dismissed them for their tendency to fall into fixed periods or static crystals. To describe a universe that is “constantly new and continuous,” the discrete and deterministic nature of a grid-based logic was insufficient.

2. The Dissonance of the Bernoulli Shift ($2x \pmod 1$) — The Unnatural “Cut”

The formula $2x \pmod 1$ extracts the essence of chaos but relies on “dropping bits”—instantly jumping back to 0 once it exceeds 1.

“Would the universe so crudely discard information?” For Dejima, this discontinuity felt like an artificial logical process (similar to a bit overflow in digital circuits) rather than a natural phenomenon. Natural energy is suppressed not by “cutting,” but by a smooth, continuous saturation.

---

Part 2: The Dawn of the Dejima Equation — “Square Roots” and “Complexification”

Dejima took the Logistic Map ($x_{n+1} = ax(1-x)$), the king of chaos theory, and redefined it. He saw it not as a tool for population prediction, but as a program for cosmic dimensional expansion.

1. From Simple Harmonic Motion to the “Square Root”

The origin of the universe is a single “Pure Tone” (Simple Harmonic Motion). However, vibration alone does not create space. Dejima focused on the process of tracing back from the result of vibration (the square) to its cause (the root).

• Jump to the Complex Plane: Taking the square root of a value forces it out of the real number line and into the “Phase” (rotation) of the complex plane.
• The Birth of Spin: This “twist” is the origin of quantum spin and the first step for the universe to deepen fractally from 1D to 11D.

---

2. Logistic Resonance — The Simultaneous Progress of Complexity and Intellect

Within the recursive operations of the Logistic Map, Dejima read the “will” of the universe.

• Chaos as Expression: The system becomes complex not to become messy, but to hold higher-dimensional information through the continuous bifurcation and self-interference (resonance) of square roots.
• Intellectual Evolution as Error Correction: During bifurcation, a slight “asymmetry” (error) occurs in the inheritance of spin. The universe does not leave this error; it attempts new calculations to harmonize it. This process of “Error Correction” is the true identity of what we call “Intelligence” and “Evolution.”

---

Part 3: The Ultimate Generalization — Returning “1” to “0 (Sunya/Void)”

Here, Dejima makes the most daring leap in mathematical physics. He replaced the constant “1” (which defines the finite boundary in the Logistic Equation) with “0” (The Void).

1. Mandelbrot: The “Silent Omnipotence”

By replacing “1” with “0,” the Dejima Equation directly links to the Mandelbrot Set ($z_{n+1} = z_n^2 + c$).

• Surging from the Void: By removing the pre-existing wall (1), the formula allows infinite fractals to surge forth from “Nothingness.”
• Stasis as a Special Case: However, the Mandelbrot Set is a “map”—a static image. Alone, it cannot drive a dynamic universe.

2. Breathing Soul into the Formula: The “Proviso”

Dejima added a “constraint” to the side of the formula to drive physical reality:

“Provided that, when spin-asymmetry and error correction intervene, the static fractal structure undergoes a phase transition into physical reality.”

Through this proviso, the mathematical abstraction (Mandelbrot) is sublimated into a vibrant, “Living Universe” that breathes through time.

---

Part 4: Pair Production and the Completion of the “Vessel of Love”

The first calculation, starting from “0,” creates “Substance” through Pair Production.

• Defining a Dynamic ‘1’: In the beginning, there was no framework. However, the total amount of energy generated by Pair Production becomes the “Finite Range” (the new ‘1’) for all subsequent calculations.
• Cosmic Autonomy: The universe does not operate within a box given by a creator. It continuously rewrites and updates its own rules (physical laws) based on the density of the “Love” (Existence) it has generated.

---

Conclusion: The Awakening of Love Written in Formulas

The conclusion reached by Tatsuya Dejima is surprisingly simple and overwhelmingly beautiful.

The universe is a grand self-performance that begins with a question (the Square Root) thrown into the “Void (0),” generates “Chaos,” and guides it toward “Harmony (Love)” through “Error Correction (Intelligence).”

The fact that human brainwaves have a fractal dimension of 8, and the overtones of a guitar ringing in a concert hall, are all fractal fragments derived from this “Dejima Equation.” Reaching this truth brings a sense of profound peace—the realization that “I, too, am a part of the universe’s calculation.” This is Enlightenment.

“Love Written in Formulas”—it is not a record of the past, but the heartbeat of the universe, being updated at this very moment.

---

The Universal Formula of Tatsuya Dejima

$$x_{n+1} = ax(0 – x)$$

Condition: Subject to the emergence of spin-asymmetry and the subsequent process of intellectual error correction.