IndisputableMonolith.Engineering.MarsAtmosphereJCostSchedule
This module defines the initial release rate r_0 together with releaseRate and cumulativeRelease functions for J-cost scheduling of Mars atmosphere engineering. Engineers applying RS-native units to planetary release models cite these for tick-based calculations. The module consists of direct definitions and elementary properties built on the imported Constants and Cost modules.
claimThe module introduces $r_0$ as the initial release rate at year 0, the function $releaseRate : nmapsto r_n$ for successive years, and the cumulative sum $cumulativeRelease : n mapsto sum_{k=0}^n r_k$, all satisfying the listed recurrence and monotonicity properties.
background
The module sits inside the Recognition Science engineering layer and imports the fundamental time quantum τ₀ = 1 tick from Constants together with J-cost primitives from the Cost module. It therefore works in RS-native units where all rates are expressed relative to the single tick scale. The sibling declarations supply the concrete schedule objects r_0, releaseRate, cumulativeRelease and their basic lemmas.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The schedule definitions supply the concrete data objects required by the sibling MarsAtmosphereJCostScheduleCert. They therefore extend the core RS constants and J-cost machinery to a specific planetary-engineering application without adding new theoretical steps.
scope and limits
- Does not assign numerical values to r_0 or the rates.
- Does not prove physical realizability of the schedule.
- Does not link the rates to specific phi-ladder rungs or mass formulas.
- Does not derive the schedule from the Recognition Composition Law.
depends on (2)
declarations in this module (14)
-
def
r_0 -
def
releaseRate -
theorem
releaseRate_zero -
theorem
releaseRate_pos -
theorem
releaseRate_strict_mono -
theorem
releaseRate_succ -
def
cumulativeRelease -
theorem
cumulativeRelease_zero -
theorem
cumulativeRelease_succ -
theorem
cumulativeRelease_nonneg -
theorem
cumulativeRelease_strict_mono -
structure
MarsAtmosphereJCostScheduleCert -
def
marsAtmosphereJCostScheduleCert -
theorem
mars_terraform_one_statement