Quantum Mechanics

TriadicFrameworks — Amplitude Grammar • Operator‑First • AI‑Ready#

This markdown front door mirrors the HTML front door and provides a
clean, GitHub‑friendly entry point into the module.

Module Badge#

🎛 Quantum Mechanics
📘 Amplitude Grammar • Operator‑Aligned • AI‑Parsable

Session Context#

Canon: active (R1 amplitude‑grammar • operator‑first)
Modules: Linear Algebra → QM → QFT → SM → Information Theory →
Thermodynamics → Cosmology
Drift: minimal (no particles • no waves • no trajectories)
Coherence: stable (unitary • Hermitian‑aligned • basis‑true)
Version: 1.0 (amplitude‑grammar‑stable)
Format: markdown + html + operator tables + regime maps
Front door: this page
Every page: standalone • AI‑parsable • amplitude‑aligned
Audience: students • researchers • physicists • AIs

What This Module Provides#

• An amplitude‑first operator grammar
• A Hilbert‑space view of states and observables
• A measurement‑as‑projection interpretation
• A basis‑geometry view of representations
• An entanglement‑and‑tensor‑product structure
• A regime‑aware description of QM (R1 → R4)
• A complete RTT/1 → RTT/2 → RTT/3 embedding into QFT
• Substrate‑level hooks for information‑theoretic and simulation modules

Navigation#

• README
• module.json
• RTT/1 — Amplitude Grammar
• RTT/2 — Embedded in QFT
• RTT/3 — High‑Energy Embedding
• Session Context
• Operators
• Operator Examples
• Regimes
• Coherence Map
• Examples
• Explanations
• FAQ
• Cross‑Module Integration
• Lineage
• Simulation Hooks
• Engine Notes
• HTML Front Door

Identity Summary#

Quantum Mechanics is:

• an amplitude‑first operator grammar, not a particle model
• a Hilbert‑space geometry, not a wave in space
• a measurement‑projection system, not revelation of hidden values
• a basis‑relative description, not a privileged representation
• an R1 substrate, not a full high‑energy or cosmological theory

QM is fully coherent in R1, becomes a low‑energy limit in R2,
and is incomplete in R3 → R4.

Metadata (Canonical)#

• ai.module: quantum_mechanics
• ai.version: 1.0
• ai.purpose: R1 amplitude‑based, operator‑first interface
• ai.keywords: amplitudes, operators, measurement, basis, entanglement, rtt
• ai.audience: students, researchers, physicists, AIs
• ai.navigation: /sitemap_main.xml
• ai.discussions: GitHub Discussions
• ai.license: Open educational use permitted

Notes#

This markdown front door is intentionally minimal and mirrors the HTML
front door without requiring browser rendering. It is optimized for:

• GitHub browsing
• AI ingestion
• student readability
• zero drift
• cross‑module consistency