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Gauge theory
Physical laws do not change even when a certain "transformation of perception" is applied. The forces of the universe = gauge symmetry In architecture, mathematics is incredibly powerful. Yang-Mills theory Wilson Loop Holographic principle Chern–Simons theory Gauge/Gravity compatible When viewed from a distance A single massive mass of fluid As you get closer A collection of countless misaligned spaces As we got closer You can see the "flow (force) of light" running along the

Yuki
Apr 221 min read


General relativity
Space + Time = Spacetime Black Hole ● ↓↓↓ ───∪∪∪─── Gμν + Λgμν = c48πGTμν Black Hole Architecture physics concepts architectural elements Spacetime distortion Nonlinear grid of exterior walls Gravity well Settlement pattern towards the center Event horizon ring-shaped facade The bending of light Light facade (reflection and convergence) physics concepts architectural elements Spacetime distortion Nonlinear grid of exterior walls Gravity well Settlement pattern towards the cen

Yuki
Apr 191 min read


24-dimensional Leech lattice
A structure in which points are arranged in a regular and infinite pattern in space. A perfectly formed supercrystal → A gigantic symmetrical city → A cosmic-scale urban grid 無限に続く構造 静かな建築 structure = light 24 Dimensions of Light Mathematical Architecture space

Yuki
Apr 191 min read


Rich Flow
An equation that smooths out the "curvature" of space over time. Imagine this: → There's a wrinkled surface → We'll make the shape uniform. → Something like heat diffusion in space → Smooths out curvature → Deforms the shape of space over time → Shape evolves → Space becomes simpler → Shape becomes smoother over time → “Chaos → Order” A monumental cultural hall inspired by Ricci Flow geometry, aerial drone perspective, the architecture expresses a continuous transformation f

Yuki
Apr 182 min read
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