IndisputableMonolith.Foundation.TMinus1ToT1Bridge
Bridge module that lifts the closed absolute-floor certificate (T-1) into the Boolean recognition-work split (T0) and the cost-form Meta-Principle (T1). Early-spine citations use it to obtain the recognition-cost framework from pure distinguishability. It imports AbsoluteFloorClosure and CostFromDistinction, then packages Boolean configuration space, unit recognition work, and the T-1-to-T0 bridge theorems.
claimAssembles the bridge from the absolute distinguishability floor ($T_{-1}$) through the Boolean recognition-work constraint into the forced cost form ($T_0$--$T_1$). From an inhabited carrier on which distinguishability equals non-trivial specifiability, recognition work is the unit cost of one distinction; the module derives the Boolean configuration space and the recognition-cost functional that seeds the Meta-Principle.
background
Recognition Science opens its forcing chain one step before the classical T0--T8 spine. The absolute floor ($T_{-1}$) asserts only that distinguishability is equivalent to non-trivial specifiability on an inhabited carrier. AbsoluteFloorClosure packages this as a joint certificate that is deliberately not an RS-specific physical postulate; it is the precondition that there is a distinguishable world at all.
CostFromDistinction adds the single operational primitive above that algebra: recognition work, the unit cost of performing one distinction. That module formalises the paper claim that the primitive forces the cost framework. The present bridge sits between those two imports and the public T-1--T8 spine.
Sibling objects include the absolute-floor certificate, Boolean configuration space, Boolean recognition cost, the recognition-work constraint, floor-to-config and floor-to-cost maps, and the packaged T-1-to-T0 bridge.
proof idea
Bridge assembly, not a single monolithic proof. The module imports the closed absolute-floor certificate and the CostFromDistinction development, then constructs Boolean configuration space and recognition cost from floor witnesses. The central bridge theorem packages the implication from the absolute floor through the recognition-work constraint into the forced Boolean logic of T0. Downstream consumers take the resulting certificates (absolute-floor holds, T0 holds, T-1-to-T0 bridge) without reopening either the floor or the cost-from-distinction argument.
why it matters in Recognition Science
First link of the public forcing spine exposed by TMinus1ToT8Bridge. That parent module lists T-1 (absolute distinguishability floor), T0 (Boolean recognition-work split), and T1 (cost-form Meta-Principle) as the opening steps of the theory-only chain that continues through T8 ($D=3$). Without this bridge the absolute floor remains a pure logical precondition and never enters the recognition-cost calculus that later forces J-uniqueness (T5), $\phi$ (T6), the eight-tick octave (T7), and three spatial dimensions (T8). The module converts the modest AbsoluteFloorClosure certificate into the operational starting point of the entire RS forcing program.
scope and limits
- Does not prove the absolute floor; that certificate is imported from AbsoluteFloorClosure.
- Does not derive J-uniqueness, phi, or later T-steps; those live further down the spine.
- Does not introduce physical constants, alpha, or the mass ladder.
- Does not claim recognition work is forced without CostFromDistinction hypotheses.
- Does not treat continuum or measure-theoretic extensions of the Boolean floor.
used by (1)
depends on (2)
declarations in this module (21)
-
structure
TMinus1_AbsoluteFloor -
theorem
tminus1_holds -
instance
boolConfigSpace -
def
boolRecognitionCost -
theorem
bool_recognition_work_constraint -
structure
T0_Logic_Forced -
theorem
t0_holds -
structure
BoolFloorConfigFromWitness -
theorem
bool_floor_config_from_witness -
structure
BoolRecognitionCostFromFloor -
theorem
bool_recognition_cost_from_floor -
structure
TMinus1_To_T0_Bridge -
theorem
tminus1_to_t0_bridge -
theorem
tminus1_to_t0_bridge_holds -
structure
T1_MetaPrinciple_Forced -
theorem
t1_corollary_of_t0 -
structure
T0_To_T1_Bridge -
theorem
t0_to_t1_bridge_holds -
theorem
t1_holds -
structure
TMinus1ToT1Cert -
theorem
tminus1_to_t1_cert