Space itself is a "structure that possesses power." "Architecture that designs changes in space," rather than "architecture that creates form." The realm of designing "relationships themselves" → "Architecture that visualizes the distribution of invisible forces" 空間＝位置と運動のペア system Content Relationship with Symplectic Mandelbrot Shape generation ❌ Wrong Lehman Face multilayer space △ Related topology connection ◎ Core non-commutative interaction ◎ Deeply related Yang Mills pl

Mathematics that goes as far as "the relationship of the relationship of the relationship..." "Relationships are more important than material things." dimension Content 0 subject 1 Relationship of the subject 2 Relationship 3 Relationship of relationships n Infinite Layers The most abstract theory → A universe where structures are stacked hierarchically. 多層ネットワーク空間建築 Symplectic → “The geometry of motion” Mathematical Architecture space

The true nature of gravity is not a "force" but rather the "curvature of space and time." Matter → Bends space; Curved space → Moves objects. Dance of the Universe Black Hole Cultural Hall Four-dimensional geometry including "time" Mathematical Architecture SPACE

"Mathematics is the process of unifying disparate, localized pieces of information into a coherent, unified whole structure." ① Segmentation (local) ② Connection (restriction mapping) ③ Integration (gluing) "A collective building that retains differences in its components while perfectly aligning only its boundaries." ①形態 × ②構造 × ③運動 を統合 Core Geometry Mathematical Architecture space

"Geometry that deals with the relationships between motion and energy" Geometry that governs the motion of the universe Geometry of movement paths → Human movement × Space 流れが凍結した建築 If topology is about "preserving shape," then symplectic architecture is about "preserving motion." Mathematical Architecture :

"A structure in which distant places or spaces are directly connected within a building." The "instantaneous" connection of space → "architecture that eliminates distance" The internal space is topologically broken. Visual perception and movement patterns do not align. "Time" also becomes a design subject. Opening the sliding door of a Showa-era house reveals a futuristic city—this is a "disconnecting jump." "Architecture that breaks down and reconnects distance, continuity,