IndisputableMonolith.Physics.StringCompactificationFromRS
Module derives six internal dimensions for string theory compactification by subtracting four spacetime dimensions from ten total within Recognition Science. It introduces CompactificationFamily, rank-sum identities, and StringCompactificationCert to certify the result. Physicists linking RS to string theory would reference these constructions. The module consists of definitions and arithmetic identities with no complex proofs.
claimRecognition Science yields six internal dimensions via the identity $10-4=6$.
background
Recognition Science begins from the time quantum τ₀ = 1 tick imported from Constants. This module applies that foundation to string compactification, defining CompactificationFamily to parameterize internal spaces and six_eq_rank_sum to enforce the required dimension count. The module documentation states the core claim as 10 - 4 = 6 internal dimensions.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the dimension count that supports higher-level RS physics derivations connecting to string theory. It directly encodes the 10-4=6 relation from the module documentation, providing the arithmetic bridge between RS constants and the ten-dimensional string requirement.
scope and limits
- Does not derive the total of ten dimensions from RS axioms.
- Does not specify the geometry of the six internal dimensions.
- Does not connect to string tension or other dynamical parameters.
- Does not address experimental signatures of extra dimensions.