IndisputableMonolith.Foundation.OptionAEmpiricalSchedule
Module defines the first-pass empirical test order for C1-C9 cross-domain theorems. It constructs a certified priority schedule from the empirical queue to sequence initial protocol tests. Researchers validating Recognition Science predictions cite this order when designing experiments. The module uses list constructions and membership lemmas to establish schedule properties.
claimThe first-pass empirical test order consists of a list $S$ of protocols equipped with a certificate ensuring $S$ has no duplicates, its initial element has high priority, and every element satisfies high or immediate priority membership.
background
Recognition Science derives physics from one functional equation, with the forcing chain leading to J-uniqueness, phi fixed point, eight-tick octave, and three spatial dimensions. The upstream module provides a priority queue for empirical tests on C1-C9 theorems: 'Priority queue for the empirical tests attached to the C1-C9 cross-domain theorems. This is not evidence for the empirical claims. It records which protocols should be tested first and proves that every queued item is already covered by the formal empirical protocol.' This module extracts the first-pass order from that queue.
proof idea
This is a definition module with supporting lemmas. It defines the schedule list and its certificate, then proves auxiliary properties including length, head selection, absence of duplicates, and priority-based membership conditions.
why it matters in Recognition Science
This module feeds the downstream Option A Empirical Action Plan, which specifies analysis actions for each scheduled test: 'The schedule says what to run first; this file says what kind of computation each scheduled test requires.' It establishes the initial empirical test sequence for validating the cross-domain theorems in the Recognition framework.
scope and limits
- Does not supply empirical data or test outcomes.
- Does not prove the underlying Recognition Science claims.
- Does not detail the computational steps for individual tests.
- Does not cover test orders beyond the first pass.
used by (1)
depends on (1)
declarations in this module (11)
-
def
firstPassSchedule -
theorem
firstPassSchedule_length -
theorem
firstPassSchedule_head -
theorem
firstPassSchedule_second -
theorem
firstPassSchedule_third -
theorem
firstPassSchedule_nodup -
theorem
firstPassSchedule_mem_high_or_immediate -
theorem
firstPassSchedule_mem_iff_high_or_immediate -
theorem
firstPassSchedule_mem_protocol -
structure
EmpiricalScheduleCert -
def
empiricalScheduleCert