π cannot be a fraction — and the small amounts by which its powers miss the primes 2, 3 and 5 are the steps of the universe
Five to the tenth is 9,765,625. Two to the fourth times three to the ninth times π cubed is 9,764,744.70. They almost balance — and the near-miss is the step that separates the registers of the universe.
π itself nearly equals 5⁸/(2⁹·3⁵), π² nearly 800/81, π³ nearly 5¹⁰/(2⁴·3⁹). The ratios are the framework's steps — and they close as a family.
Even powers of π are rooms, odd powers roads, half powers doors. The step carries π⁻³, so the year tower alternates: G0 π⁷, G1 π⁴, G2 π¹, G3 π⁻². Multiply by a step and you stay on the lattice; subtract one and you leave it.
Because π's powers nearly meet fractions of 2, 3 and 5, and the near-misses — the π-commas — are the steps between registers.
1.000090150603356 = 5¹⁰/(2⁴·3⁹·π³), the comma of π³ against 5¹⁰/(2⁴·3⁹).
Two values with the same power of π have a ratio with no π in it.
Nothing on this page was pulled, attracted or held down. There is one substance — time — flowing from the sparse toward the dense, and the radio whisper of cold hydrogen and the slow turning of Mercury are one thread of its pattern. If it stirred your curiosity, the whole weave is waiting: the planets, the atom, light, life and number, all carried by the same single force.
Read the whole theory of the Universal Force of Time →