No-go Theorem for Cosmological Parity Violation
Bibliographic record
Abstract
A no-go theorem for parity-violation in even $D$-dimensional spacetimes invariant under $ISO(d)$ and dilatations (as well as the implications for odd $D$) is derived. For the case of real massless scalar and gravitons (as well as any massless even integer spin-$s$ field) at $\mathcal{I}^+$, the reality of wavefunction coefficients in Fourier space to all orders in perturbation theory (any order in loops) coming from a local, unitary, IR- and UV-finite theory, which start from the initial \CRT-invariant Bunch-Davies state in the infinite past, is proven. From this it is inferred that a parity-odd correlator with any massless scalar fields and even integer spin-$s$ fields vanishes in the presence of any number of interactions of massless fields. The same is true for correlators with an even number of conformally-coupled and massless odd integer spin-$s$ external fields, which is used to derive the cosmological analogue of Furry's theorem. The fundamental implications of \CRT symmetry for theories with chemical potentials, such as Chern-Simons and Axion inflation, is also discussed. Given the recent interest in parity-violation coming from observational claims of parity-violation detection, these results provide clear constraints on parity-violating models of inflation and establish the measurement of any parity-odd correlator as an exceptionally sensitive probe of new physics beyond vanilla inflation.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".