IndisputableMonolith.Ethics.VirtueGeneratorsFromJCost
The module derives the DREAM virtue generator count as 14 = 2*(2^D-1) at D=3 by applying J-cost relations in the Recognition Science framework. Researchers in RS ethics cite it to ground virtue structures in the cost function and spatial dimension. The module consists of definitions for generator counts and costs together with direct algebraic equalities from the dimension formula.
claimThe DREAM virtue generator count equals $14 = 2(2^D-1)$ when $D=3$.
background
The module sits in the Ethics domain and imports the RS time quantum from Constants together with the J-cost machinery from the Cost module. It introduces sibling definitions including dreamGeneratorCount, virtueCost, virtueCost_perfect, dreamGeneratorCount_pos, and VirtueGeneratorsCert. The local setting assumes the three-dimensional space forced by the unified forcing chain and applies the J-cost to generate ethical structures.
proof idea
This is a definition module, no proofs. It supplies count functions and cost relations via direct algebraic identities drawn from the imported Cost module and the dimension formula.
why it matters in Recognition Science
The module supplies the concrete generator count of 14 to the ethics framework, realizing the D=3 result from the forcing chain in an ethical context. It provides the base for virtue certification objects such as VirtueGeneratorsCert. No downstream uses are recorded, indicating it functions as a foundational block.
scope and limits
- Does not derive ethical norms or obligations.
- Does not treat non-DREAM virtues or other generator types.
- Does not compute numerical costs for specific agents or actions.
- Does not link to quantum mechanics or particle spectra.