IndisputableMonolith.Physics.LightConeCausalityFromRS
This module derives light cone causality from Recognition Science by introducing causal structures on top of the RS time quantum. It defines CausalRelation and LightConeCausalityCert as core objects. A physicist grounding Minkowski causality in the J-functional equation and forcing chain would cite these definitions. The module contains only definitions and certificates with no embedded proofs.
claimDefines $\mathsf{CausalRelation}$ on events separated by the RS time quantum $\tau_0 = 1$ tick and certifies $\mathsf{LightConeCausalityCert}$ for light-cone structure.
background
The module sits in the physics domain of Recognition Science and imports only Mathlib plus the Constants module. Upstream, Constants supplies the fundamental RS time quantum $\tau_0 = 1$ tick. Sibling declarations introduce CausalRelation, causalRelation_count, LightConeCausalityCert and lightConeCausalityCert, which encode ordering and certification of causal reachability in RS-native units.
The theoretical setting is the derivation of spacetime features directly from the single functional equation without assuming a background metric. The module therefore supplies the interface between the RS time quantum and causal propagation.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the causal primitives that feed into parent derivations of spacetime structure in the Recognition Science framework, including the forcing chain steps that produce D = 3 and the eight-tick octave. It provides the necessary objects for any later theorem that extracts light-cone causality from J-uniqueness and the phi-ladder.
scope and limits
- Does not assume a pre-existing Minkowski metric.
- Does not derive numerical values for constants such as alpha.
- Does not address interactions or quantum field content.
- Does not extend to curved spacetime or general relativity.