# Regimes — Quantum Field Theory  
### TriadicFrameworks /docs/theories/quantum_field_theory/regimes.md

Quantum Field Theory (QFT) behaves differently across regimes R1 → R4.  
These regimes describe how fields, excitations, symmetries, and  
renormalization behave as energy, coherence, and scale change.

QFT is a **substrate‑level excitation grammar**, so its regime boundaries  
are defined by:

- amplitude structure  
- excitation stability  
- symmetry geometry  
- renormalization flow  
- substrate resonance  

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# R1 — Quantum Amplitude Regime  
### (No stable excitations • field reduces to amplitude structure)

In R1:

- fields collapse to **quantum amplitudes**  
- no stable excitations exist  
- creation/annihilation operators lose physical meaning  
- propagators reduce to amplitude kernels  
- symmetry generators act trivially  
- vacuum structure is undefined  

QFT reduces to **Quantum Mechanics** in this regime.

**Interpretation:**  
QFT cannot produce stable modes in R1.

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# R2 — Canonical QFT  
### (Stable excitations • renormalization active • Lorentz geometry intact)

In R2:

- stable excitation modes exist  
- creation/annihilation operators are well‑defined  
- propagators encode correlation structure  
- gauge geometry is stable  
- renormalization flow is finite  
- vacuum structure is well‑defined  
- symmetry generators produce conserved quantities  

This is the regime where:

- the Standard Model lives  
- most of physics operates  
- QFT is fully coherent  

**Interpretation:**  
R2 is the **canonical QFT regime**.

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# R3 — High‑Energy Resonance Regime  
### (Symmetry restoration • resonance surfaces merge • couplings run)

In R3:

- renormalization flow dominates  
- couplings run toward unification  
- symmetry groups partially restore  
- excitation surfaces merge  
- vacuum structure flattens  
- high‑energy resonance topology emerges  

This is the regime of:

- electroweak symmetry restoration  
- asymptotic freedom  
- early‑universe field behavior  

**Interpretation:**  
QFT becomes a **resonance‑topology theory** in R3.

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# R4 — Cosmological Regime  
### (QFT incomplete • horizon‑scale fields dominate)

In R4:

- QFT breaks down  
- horizon‑scale fields dominate  
- vacuum structure becomes cosmological  
- renormalization loses meaning  
- field theory requires cosmology or quantum gravity  

This is the regime of:

- inflation  
- dark energy  
- horizon‑scale coherence  
- cosmic background fields  

**Interpretation:**  
QFT cannot describe R4 without cosmology.

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# Summary

Quantum Field Theory behaves as:

- **R1:** amplitude‑only  
- **R2:** stable excitation grammar  
- **R3:** high‑energy resonance topology  
- **R4:** cosmological breakdown  

QFT is coherent in **R2 → R3**, collapses in **R1**, and is incomplete in **R4**.