IndisputableMonolith.Mathematics.ComputationalComplexityFromRS
The module ComputationalComplexityFromRS derives computational complexity structures from Recognition Science by fixing the DFT-8 size at 2^D = 8. Researchers examining physical bounds on computation in RS frameworks would cite these definitions. It is a definitions-only module containing ComplexityClass, dft8Size, and related certificates.
claim$size(DFT_8) = 2^D = 8$ where $D = 3$ follows from the eight-tick octave in the Recognition Science forcing chain.
background
Recognition Science forces D = 3 spatial dimensions via the eight-tick octave (period 2^3) in the T7-T8 steps of the unified forcing chain. This module introduces ComplexityClass as a type for RS-derived complexity classes, complexityClassCount as a counting function, dft8Size as the explicit size-8 object, and ComputationalComplexityCert as a certificate type. The module imports only Mathlib and centers on the relation DFT-8 size = 2^D = 8.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the complexity-class and DFT-size definitions that feed parent results on computational certificates within the Recognition Science framework, directly supporting the T7 eight-tick and T8 D = 3 landmarks.
scope and limits
- Does not prove any complexity class inclusions or separations.
- Does not link the DFT size to specific algorithms or physical hardware.
- Does not contain theorems or proofs of the size relation.