Typeset every research formula with native GitHub math

[GoGoKo699]

The Unicode and HTML equation layout made fractions and long expressions difficult to read. This revision follows the native Markdown mathematics style of Hopf-Frame-Compilation.

• Typeset all 88 numbered manuscript equations, both abstract displays, and inline mathematics throughout the manuscript and supporting documents.
• Preserve equation numbering, anchors, scientific qualifications, all figures, bibliography entries, table values, and frozen evidence.
• Use protected inline delimiters, compatible upright operator names, and explicit equation labels after fixing issues found in GitHub's actual renderer.
• Update syntax/inventory checks and generated validation reports. Standalone TeX/PDF documents and a LaTeX build remain excluded.

Validation: 39 tests passed; scientific checks passed; manuscript inventory and all 51 evidence/license checksums passed. Independent review found no mathematical discrepancy. GitHub rendered all 90 manuscript displays and 337 inline formulas, plus all 14 research-note displays and 103 inline formulas, with no unrendered math, raw delimiters, errors, or horizontal overflow at the inspected desktop viewport. All 15 README formulas also rendered correctly. The final review is recorded in validation/RELEASE_CHECK.md.