pith. machine review for the scientific record. sign in
theorem

physical_light_not_first

proved
show as:
view math explainer →
module
IndisputableMonolith.Foundation.PreTemporalForcingOrder
domain
Foundation
line
143 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Foundation.PreTemporalForcingOrder on GitHub at line 143.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 140  decide
 141
 142/-- Physical light is not first in the forcing order. It requires spacetime. -/
 143theorem physical_light_not_first :
 144    ¬∀ s : Stage, s ≠ PhysicalLight → Before PhysicalLight s := by
 145  intro h
 146  have hbad := h Stage.distinction (by decide)
 147  norm_num [Before, PhysicalLight, rank] at hbad
 148
 149/-! ## Observer: two senses -/
 150
 151/-- Primitive observer-like structure: a recognizer/interface. This is forced
 152as soon as recognition, not merely bare abstract distinction, is in play. -/
 153def PrimitiveObserver : Stage := Stage.recognitionInterface
 154
 155/-- Embodied observer: a physical subsystem with finite resolution, downstream
 156of spacetime and physical light. -/
 157def PhysicalObserver : Stage := Stage.embodiedObserver
 158
 159theorem primitive_observer_before_time :
 160    Before PrimitiveObserver Stage.timeTick := by
 161  decide
 162
 163theorem primitive_observer_before_physical_light :
 164    Before PrimitiveObserver PhysicalLight := by
 165  decide
 166
 167theorem physical_observer_after_physical_light :
 168    Before PhysicalLight PhysicalObserver := by
 169  decide
 170
 171/-! ## Certificate -/
 172
 173structure PreTemporalOrderCert where