IndisputableMonolith.Econ.LedgerEconomics
The Econ.LedgerEconomics module shows how the eight-tick octave structures economic activity into exactly eight phases. It defines the cycle duration in ticks, a conservation ratio fixed at one, and a growth multiplier from the self-similar structure. These follow directly from the RS time quantum without extra hypotheses. Cycle modelers in the Recognition Science program cite this for phase counting and conservation.
claimThe 8-tick octave forces exactly eight economic phases. The cycle duration is positive and bounded, the conservation ratio equals one, and the growth multiplier satisfies bounds from the self-similar fixed point.
background
Recognition Science measures time in fundamental ticks with τ₀ = 1 as the base unit. The eight-tick octave, period 2^3, structures periodic processes including economic cycles. This module introduces the division of economic activity into phases aligned with the octave, along with conservation and growth factors that follow from the Recognition Composition Law. Upstream result states: The fundamental RS time quantum (RS-native). τ₀ = 1 tick.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module applies the eight-tick octave (T7) to economics and supplies the phase structure for business cycles. It feeds the core Recognition Science chain into economic modeling, with the central claim that the octave forces exactly eight phases. No downstream uses are listed, indicating it serves as a base for further econ extensions.
scope and limits
- Does not model stochastic fluctuations in economic variables.
- Does not incorporate external market forces or policy interventions.
- Does not provide numerical calibrations to real-world data.
- Does not address long-term growth beyond the octave multiplier.
depends on (1)
declarations in this module (11)
-
def
economicPhases -
def
businessCyclePeriod -
def
ledgerConservationRatio -
def
octaveGrowthMultiplier -
theorem
eight_economic_phases -
theorem
businessCyclePeriod_pos -
theorem
businessCyclePeriod_lower -
theorem
businessCyclePeriod_upper -
theorem
ledgerConservation_eq_one -
theorem
octaveGrowth_bounds -
theorem
businessCycle_bounds