Restricting one-loop radiative effects in quantum gravity: demonstrating 4D GR as an EFT and its consistent unification with the Standard Model
Bibliographic record
Abstract
In “On restricting to one-loop order the radiative effects in quantum gravity”, a Lagrange multiplier (LM) field is introduced into the Einstein–Hilbert action, removing all multi-loop graviton diagrams and confining quantum-gravity corrections to just one loop. The resulting one-loop effective action carries a term proportional to ln (μ/Λ), which they suggest could be experimentally determined, hinting at direct measurements of quantum-gravity effects. We demonstrate, however, that μ and Λ emerge from a chosen renormalization scheme, not from physical observables, implying that ln (μ/Λ) signals a finite UV cutoff in this “LM renormalization scheme”. Although Newton’s constant remains fixed (no running of G N ), the resulting logarithmic dependence encodes a limited domain of validity for general relativity (GR) in four dimensions, thereby demonstrating explicitly that 4D GR behaves as an effective field theory (EFT) for energies below the cutoff. Using the Appelquist–Carazzone decoupling theorem, we prove mathematically that this framework has a well-defined low-energy limit. We then illustrate how this truncated, renormalized gravity sector can be consistently unified with the Standard Model (SM), yielding a finite and renormalized EFT encompassing both gravity and particle physics up to a scale Λ grav . As such, we term this unification as the Unified Standard Model with Emergent Gravity-EFT framework. Our work represents a breakthrough in theoretical physics with a first successful unification of gravity with the SM through a fully renormalizable and EFT framework.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.002 | 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 source (direct Gemma or distilled Codex), 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".