pith. sign in
def

period1024

definition
show as:
module
IndisputableMonolith.Foundation.Breath1024
domain
Foundation
line
22 · github
papers citing
3 papers (below)

plain-language theorem explainer

The declaration introduces the natural number 1024 as the period length inside the Breath1024 foundation module. Researchers constructing discrete periodic models or scaling the base eight-tick structure would reference this constant when building larger oscillation cycles. The definition is a direct constant assignment with no lemmas, reductions, or computational steps.

Claim. Let $P = 1024$ be the period length, where $P$ is the natural-number constant used for the 1024-tick cycle in the Breath1024 construction.

background

The Breath1024 module imports Mathlib and defines a family of period constants, including the sibling period8. These constants supply discrete time scales for oscillatory constructions. The eight-tick octave from the Recognition Science forcing chain supplies the base period of 8; the present definition extends that base by a power-of-two factor.

proof idea

The declaration is a direct constant assignment in Lean with an empty proof body. No tactics, lemmas, or term reductions are applied.

why it matters

The constant supplies a concrete power-of-two period for breath and oscillation objects inside the same module. It sits at the foundation layer and aligns with the eight-tick octave (period 2^3) by providing a scaled multiple suitable for larger discrete cycles. No downstream theorems or open questions are attached.

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papers checked against this theorem (showing 3 of 3)