IndisputableMonolith.Ethics.VirtueLatticeEffect
The VirtueLatticeEffect module defines a lattice model for ethical virtues inside Recognition Science. It introduces LatticeState together with the maps applyLove, applyCourage and applyWisdom, each linked to concrete effects on collective J-bar, gradients and energy. Researchers extending the phi-ladder framework into ethical decision-making would cite these constructs. The module consists solely of definitions and named properties with no proof bodies.
claimThe module defines the type $LatticeState$ together with maps $applyLove, applyCourage, applyWisdom : LatticeState → LatticeState$ satisfying the named properties $love_reduces_collective_jbar$, $courage_enables_high_gradient_action$, $wisdom_preserves_energy$ and $love_widens_gap$.
background
This module sits in the Ethics domain and imports only Mathlib. It introduces LatticeState as the central object representing configurations whose collective J-cost and defect structure can be altered by virtues. The sibling definitions applyLove, applyCourage and applyWisdom encode the three classical virtues, while the named properties love_reduces_collective_jbar, courage_enables_high_gradient_action, wisdom_preserves_energy and love_widens_gap record their specific lattice effects. No upstream results are required; the module stands as an independent extension of the core J-cost and phi-ladder machinery.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the base definitions for virtue-driven modifications of the lattice state. With zero listed downstream theorems it functions as an interface layer that can later feed into larger Recognition Science constructions such as collective behavior on the eight-tick octave or extensions of the forcing chain. It thereby opens an ethical track within the framework without yet connecting to specific constants or mass formulas.
scope and limits
- Does not derive numerical predictions or simulations from the virtue maps.
- Does not relate virtues to Recognition Science constants such as phi or alpha.
- Does not treat simultaneous or sequential application of multiple virtues.
- Does not connect LatticeState to spatial dimension D=3 or the RCL identity.