Semiclassical cosmology with backreaction: The Friedmann-Schrödinger equation and inflation
Bibliographic record
Abstract
We propose and study a scalar field cosmological model with backreaction. Scalar field evolution in the model is determined by the time-dependent Schr\"odinger equation. The corresponding wave function self-consistently informs the evolution of the scale factor via the Friedmann equation. We compare this model with the usual semiclassical approximation. For various scalar potentials, we show that (i) inflation arises naturally, without fine-tuning, for arbitrary initial wave functions of the scalar field, (ii) zero-point quantum fluctuations of the scalar field dynamically produce the equation of state $P=\ensuremath{-}\ensuremath{\rho}$ at late times for all initial states and potentials, and (iii) the results of general relativity emerge as the Universe expands. Lastly, we give a general construction of backreaction models using the canonical formulation of general relativity coupled to matter.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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".