Implementations and Code

Overview

• High-level modules (examples — adjust to actual repo files):
  • axioms.py — core classes for UniversalZForm and validation utilities
  • domain.py — PhysicalDomainZ, DiscreteZetaShift, embeddings and geometric transforms
  • utils/ — helper routines, numeric wrappers for mpmath and numpy
  • notebooks/ — Z5D_Reference_Impl-2.ipynb

API highlights (example)

• UniversalZForm
  • compute_z(A, B, c, precision=1e-16)
  • Validates input types and precision targets.
• PhysicalDomainZ
  • time_dilation(v, c)
  • length_contraction(L0, v, c)
  • raises ValueError for |v| ≥ c
• DiscreteZetaShift
  • getD(n), getE(n), curvature_kappa(n)
  • theta_prime(n, k=0.3)

Testing

• Tests should use mpmath for precision-sensitive computations.
• Include test datasets or small fixtures to ensure deterministic outputs.

Examples

• Show a short code snippet that computes Z for a simple discrete mapping (link to real code in repo).

Notes

• Document any deviations from the Z Framework Guidelines in code docstrings.

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