Tetrahedral Hyperdimensional Algebra — Formal Mathematical Manuscript (JMP Submission Version)

Title:
Tetrahedral Hyperdimensional Algebra — Formal Mathematical Manuscript (JMP Submission Version)

Description:
This record contains the formal mathematical version of Tetrahedral Hyperdimensional Algebra (THA) submitted to Journal of Mathematical Physics (AIP Publishing) under Manuscript ID JMP25-AR-00697.
This manuscript presents the algebraic foundations of THA, including:

• tetrahedral operator definitions

• Clifford-phase embeddings

• morphism rules

• recursion operators

• preliminary structural theorems

This version restricts itself strictly to mathematical formalism and does not include speculative cosmology, consciousness models, or extended philosophical material.
It represents the academically aligned, publication-ready form of the work.

A separate Zenodo record contains the extended Experimental Research Monograph, which preserves exploratory, speculative, and developmental content for R&D purposes.

Intended Use:

• peer-review

• academic citation

• mathematical analysis

• formal comparison with existing algebraic structures

Note:
This version supersedes all earlier draft forms for the purposes of scholarly review but does not replace the extended research monograph, which is archived independently for traceability.