# Regime Behavior — Standard Model  
### TriadicFrameworks /docs/theories/standard_model/regimes.md

The Standard Model (SM) is a **sector grammar of excitation modes**.  
Its behavior changes across regimes R0 → R4 as symmetry, excitation  
stability, and gauge geometry shift.

This file defines how the SM behaves in each regime, what collapses,  
what stabilizes, and where the theory becomes incomplete.

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# R0 — No Substrate / No Excitations  
**Regime:** pre‑physical • no dimensional anchor • no excitation modes

- No fields  
- No excitations  
- No gauge geometry  
- No Higgs potential  
- No symmetry to break or restore  

**SM status:**  
❌ **Undefined** — the Standard Model requires a substrate field structure.

---

# R1 — Quantum Regime (Excitations Collapse)  
**Regime:** quantum‑dominant • no stable sectors • no mass generation

- Excitations do not stabilize  
- Gauge geometry collapses into phase structure  
- Higgs field inactive; no mass generation  
- No confinement; no flavor structure  
- Only quantum amplitudes and phase relations remain

**SM status:**  
⚠️ **Collapsed** — the Standard Model cannot form stable excitation sectors.

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# R2 — Standard Model Regime (Canonical Behavior)  
**Regime:** stable excitation sectors • broken electroweak symmetry

- Quarks, leptons, gauge bosons, Higgs appear as **stable excitations**  
- SU(3) × SU(2) × U(1) gauge geometry fully active  
- Higgs field generates mass via Yukawa coupling  
- Color confinement stable  
- Flavor mixing (CKM/PMNS) stable  
- Renormalization structure valid

**SM status:**  
✅ **Fully active** — this is the Standard Model’s natural regime.

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# R3 — High‑Energy Regime (Symmetry Restoration)  
**Regime:** high‑energy resonance • sector merging • unification behavior

- Electroweak symmetry **restores**  
- Higgs potential reshapes; mass hierarchy shifts  
- Excitation surfaces merge into unified resonance structures  
- Gauge couplings run toward unification  
- Flavor mixing surfaces shift  
- Confinement weakens at extreme energies

**SM status:**  
⚡ **Resonance‑extended** — the Standard Model behaves as a  
high‑energy resonance topology, not a low‑energy sector grammar.

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# R4 — Cosmological Regime (SM Incomplete)  
**Regime:** horizon‑scale fields • inflationary dynamics • dark sector

- Standard Model fields insufficient to describe cosmological behavior  
- Dark matter, dark energy, inflationary fields dominate  
- Gauge geometry incomplete  
- Higgs field insufficient for cosmic mass/energy structure  
- Excitation sectors no longer define system behavior

**SM status:**  
❌ **Incomplete** — requires cosmology, QFT‑in‑curved‑spacetime, and  
substrate‑level fields beyond the Standard Model.

---

# Summary Table

| Regime | Behavior | SM Status |
|--------|----------|-----------|
| **R0** | No substrate; no excitations | ❌ Undefined |
| **R1** | Quantum collapse; no stable sectors | ⚠️ Collapsed |
| **R2** | Stable sectors; Higgs active; gauge geometry stable | ✅ Fully active |
| **R3** | Symmetry restoration; sector merging; unification | ⚡ Resonance‑extended |
| **R4** | Cosmological fields dominate; SM incomplete | ❌ Incomplete |

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# Drift Boundaries

To maintain coherence:

- Do **not** extend SM into R4  
- Do **not** collapse SM into R1  
- Do **not** treat excitations as particles  
- Do **not** treat gauge fields as forces  
- Do **not** treat mass as intrinsic  
- Do **not** treat symmetry as metaphysical  

The Standard Model is a **sector grammar**, not an ontology.

---

# Cross‑Module Notes

- **QFT:** provides excitation structure  
- **QM:** dominates R1 behavior  
- **Cosmology:** dominates R4 behavior  
- **Thermodynamics:** interacts via high‑energy resonance  
- **Information Theory:** classifies charges and symmetry states