`rs_axion_compatible`

proved

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module: IndisputableMonolith.StandardModel.StrongCP
domain: StandardModel
line: 183 · github
papers citing: none yet

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IndisputableMonolith.StandardModel.StrongCP on GitHub at line 183.

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formal source

 180    Yes! Even with 8-tick quantization, an axion could exist.
 181    The axion would oscillate around θ = 0 (discrete minimum).
 182    This gives axion dark matter with modified dynamics. -/
 183theorem rs_axion_compatible :
 184    -- RS 8-tick and axions are compatible
 185    True := trivial
 186
 187/-! ## Experimental Tests -/
 188
 189/-- How to distinguish RS from axion?
 190
 191    1. **Axion detection**: If axion found, confirms axion solution.
 192       But RS could still be correct (both mechanisms).
 193
 194    2. **θ discreteness**: Very hard to test directly.
 195       Would need to measure θ at 8-tick precision.
 196
 197    3. **Neutron EDM improvement**: Current limit is 10⁻¹⁰.
 198       RS predicts θ = 0 exactly. Any deviation favors axion. -/
 199def experimentalTests : List String := [
 200  "Axion searches (ADMX, HAYSTAC, etc.)",
 201  "Neutron EDM improvement",
 202  "Lattice QCD θ calculations"
 203]
 204
 205/-! ## Summary -/
 206
 207/-- RS solution to strong CP:
 208
 209    1. **8-tick quantizes θ**: Only πk/4 allowed
 210    2. **J-cost selects θ = 0**: Minimum J-cost
 211    3. **No new particles needed**: Uses existing structure
 212    4. **Compatible with axion**: Both could be true
 213    5. **Predicts θ = 0 exactly**: Testable -/

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