Appendix A: Scalar Field Structure

Chapter 33 of The Resolution of Math

Define scalar field: Φ(r) = 1 / log(αr + β)
Laplacian: ∇²Φ(r) = –α² / (r² log³(αr + β))
Field implications:

• Decay slower than Newtonian inverse square law
• Encodes information-theoretic delay
• Results in curvature without mass
  Simulation match: Rotation curves aligned with Φ(r)
  No free parameters required
  Emergent from symbolic structure of primes

Reader Context

Before this section, "Science Paper: Dark Matter Math" sets context for the current argument. After this page, continue to "Science Paper: The Prime Curve" to follow the next step in the sequence.