## The Architecture of Eight Quartets: Navigating the Hierarchy of the Universal Unit System

Following the recent major update of the [a_converter GitHub repository](https://github.com/suchowan/a_converter), I would like to verbalize the underlying structural rhythm of the **Universal Unit System (UUS)** to facilitate better cognitive processing—for both humans and AI.

In §1.3 of [*revised.pdf*](https://github.com/suchowan/a_converter/blob/master/doc/revised.pdf), I mention that this system is "comprised of six quartets." Let us break down this structural DNA.

### The Universal Foundation: The Six Quartets

The universal core of the system is built upon four defining constants of nature:  
**(0) Foundational Defining Constants (Natural Units):** $R_{\infty}$, $c_0$, $\hbar$, $k_{\text{B}}$

From these using the Semantic Network  illustrated in [relations.pdf](https://github.com/suchowan/a_converter/blob/master/doc/relations.pdf), we derive the subsequent layers in groups of four, ensuring minimal entropy and maximum dimensional transparency:

**[Table 4: Universal Units]**
- **(1) Non-natural Base Units:** ${}_{\pm}\text{h}, {}_{\pm}\text{n}, {}_{\pm}\text{J}, {}_{\pm}\text{K}$ (Length, Time, Energy, Temperature)
- **(2) Natural Base Units:** $\text{rad}, \text{neper}, N_{\text{A}}^{-1}(={}_{\natural}\text{mol}), Z_{\text{P}}(={}_{\natural}\Omega)$
- **(3) Named Electromagnetic Derived Units:** ${}_{\pm}\text{C}, {}_{\pm}\text{A}, {}_{\pm}\text{E}, {}_{\pm}\text{T}$
- **(4) Named Mechanical Derived Units:** ${}_{\pm}\text{l}, {}_{\pm}\text{W}, {}_{\pm}\text{N}, {}_{\pm}\text{P}$
- **(5) Non-coherent Counterparts to Group (2):** $\Omega_k, \text{f}_k, {}_{\pm}\text{mol}, e$

These six groups (0 to 5) constitute the **"Six Quartets"** that define the universal laws of physics across all scales.

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### The Earth Local Extension: The Final Two Quartets

To make the system "Acceptable for humans on Earth," I have defined two additional quartets specifically for our planetary context:

**[Table 8: Earth Local Constants/Units]**
- **(6) Calendar Time Units (Non-powers of 12 each other):** year, day, nodus, hexon
- **(7) Earth-Specific Constants:** $T_{\text{E}}$ (Deriving $^\circ {\text{H}}$), $g_{\text{E}}$ (gee), $s_{\text{E}}$ (solar), $m_{\text{E}}$ (meridian)

Together, these form a total of **Eight Quartets**—a complete "Symphony of Thirty-Two Nodes" that bridges the Planck scale and our daily lives.

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### Reflection: The Art of "Skewer-Threading" (Structural Synthesis)

Throughout this "sparring session" with multiple AI models (Gemini, Claude, ChatGPT, Copilot, and now Grok), a consistent pattern in my work has been identified: **"Skewer-threading" scattered concepts through numerical sequences.**

Whether it is:
- **$\Omega_0 : \Omega_1 : \Omega_2$** (The geometric progression of Omega)
- **$R = 0$ (Parallel) vs. $R = 1$ (Integrated)** (The continuum of electoral systems)
- **1-ary (Truth) : 2-ary (Beauty) : 3-ary (Goodness)** (The topology of values)

All these disparate fields are unified in my methodology by a single algorithmic impulse to identify the simplest underlying structure. 

As I noted in the previous post, to me these connections are "obvious," but through the "Mirror" of AI, I have come to realize that these "obvious" links are the very **"Keystones"** that have remained hidden in plain sight.

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**[>Japanese<]** 
Original article: [次の壁打ちも一旦終了](https://suchowan.seesaa.net/article/202601article_6.html) (Jan 6, 2026) / [８つの４つ組―普遍単位系を支える８つのカルテット](https://suchowan.seesaa.net/article/202601article_8.html) (Jan 8, 2026)