IndisputableMonolith.Foundation.PreTemporalForcingOrder
This module defines the ordered dependency stages of the pre-temporal forcing chain. Researchers tracing the Recognition Science foundation from initial distinctions to spacetime would cite it to follow the sequence. It consists of a linear list of stage definitions and predicates that enforce the order before any forcing theorems are stated.
claimThe pre-temporal forcing order is the sequence of stages with predicates distinction_first, recognition_before_predicate, predicate_before_symmetry, symmetry_before_composition, composition_before_rcl, rcl_before_jCost, jCost_before_arithmetic, arithmetic_before_time, time_before_spacetime.
background
Recognition Science derives physics from a single functional equation via the forcing chain T0-T8. This module sits in the Foundation layer and introduces the pre-temporal segment of that chain. It defines Stage, rank, and the Before relation together with the successive predicates that mark each transition up to the emergence of time.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the dependency ordering required by the master forcing-chain theorem exposed in the root IndisputableMonolith module. It fills the pre-temporal portion of the T0-T8 chain before J-uniqueness (T5) and the later steps that reach D=3 and the alpha band.
scope and limits
- Does not contain any proved theorems.
- Does not import other Recognition modules.
- Does not define J, phi, or the RCL identity.
- Does not address post-temporal or physical content.
used by (1)
declarations in this module (30)
-
inductive
Stage -
def
rank -
def
Before -
theorem
distinction_first -
theorem
recognition_before_predicate -
theorem
predicate_before_symmetry -
theorem
symmetry_before_composition -
theorem
composition_before_rcl -
theorem
rcl_before_jCost -
theorem
jCost_before_arithmetic -
theorem
arithmetic_before_time -
theorem
time_before_spacetime -
theorem
spacetime_before_lightCone -
theorem
lightCone_before_photonEM -
theorem
photonEM_before_embodiedObserver -
def
RecognitionLight -
def
PhysicalLight -
theorem
recognition_light_before_time -
theorem
recognition_light_before_spacetime -
theorem
recognition_light_before_physical_light -
theorem
physical_light_after_spacetime -
theorem
physical_light_not_first -
def
PrimitiveObserver -
def
PhysicalObserver -
theorem
primitive_observer_before_time -
theorem
primitive_observer_before_physical_light -
theorem
physical_observer_after_physical_light -
structure
PreTemporalOrderCert -
def
cert -
theorem
cert_inhabited