Tetrachron Geometry

Interpretation (Principle of the Tetrachron)

• The Tetrachron is the fundamental solid of four–dimensional space.

• Every Tetrachron is obtained through the accumulation of three–dimensional volumes along the fourth coordinate w.

• Its natural measure, the tetravolume, is the continuous summation of these spatial layers.

Thus, the hierarchy of forms extends naturally:

• a point accumulated forms a line,

• a line accumulated forms a plane,

• a plane accumulated forms a volume,

• a volume accumulated forms a Tetracron.

Final Observation

• As a mathematical theorem, this statement is a particular case of the Fubini–Tonelli Theorem in measure theory.

• As a principle, it forms the foundation of the Tetrachron: space extends beyond the three known dimensions, and the solids we perceive are projections of four–dimensional entities.