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An alternative inflationary model is proposed predicated upon a consideration of the form of the uncertainty principle in a curved background spacetime. An argument is presented suggesting a possible curvature dependence in the correct…

General Relativity and Quantum Cosmology · Physics 2014-05-12 Paul J. Camp , John L. Safko

We study the contribution of large scalar perturbations sourced by a sharp feature during cosmic inflation to the stochastic gravitational wave background (SGWB), extending our previous work to include the SGWB sourced during the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-17 Vikas Aragam , Sonia Paban , Robert Rosati

Cosmological perturbations generated during inflation exhibit striking quantum features, including entanglement and high circuit complexity. Yet their observational signatures remain effectively indistinguishable from classical stochastic…

High Energy Physics - Theory · Physics 2025-12-12 S. Shajidul Haque , Ghadir Jafari , Bret Underwood

We revisit the Lagrangian formulation of stochastic inflation, where the path-integral approach is employed to derive the Langevin equation governing the dynamics of long-wavelength fields, in contrast to the standard method where the…

High Energy Physics - Theory · Physics 2025-10-06 Rajat Kumar Panda , Sukanta Panda , Abbas Tinwala

In light of recent work on particles fluctuating in linear viscoelastic fluids, we study a linear stochastic partial-integro-differential equation with memory that is driven by a stationary noise on a bounded, smooth domain. Using the…

Probability · Mathematics 2021-11-02 Scott A. McKinley , Hung D. Nguyen

We discuss the detection of gravitational-wave backgrounds in the context of Bayesian inference and suggest a practical definition of what it means for a signal to be considered stochastic---namely, that the Bayesian evidence favors a…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Neil J. Cornish , Joseph D. Romano

By introducing a new stochastic integral, we investigate the energetics of classical stochastic systems driven by non-Gaussian white noises. In particular, we introduce a decomposition of the total-energy difference into the work and the…

Statistical Mechanics · Physics 2012-05-23 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

It is becoming increasingly clear that large but rare fluctuations of the primordial curvature field, controlled by the tail of its probability distribution, could have dramatic effects on the current structure of the universe -- {\it e.g.}…

High Energy Physics - Theory · Physics 2022-05-25 Ana Achucarro , Sebastian Cespedes , Anne-Christine Davis , Gonzalo A. Palma

In the framework of Born-Infeld inspired gravity theories, which deviates from General Relativity (GR) in the high curvature regime, we discuss the viability of Cosmic Inflation without scalar fields. For energy densities higher than the…

General Relativity and Quantum Cosmology · Physics 2016-03-10 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Christophe Ringeval

We study the bispectrum of the primordial curvature perturbation on uniform-density hypersurfaces generated by a kind of the noncanonical warm inflation, wherein the inflation is provided by a noncanonical scalar inflaton field that is…

General Relativity and Quantum Cosmology · Physics 2015-04-09 Xiao-Min Zhang , Jian-Yang Zhu

We study a model of inflation where the scalar perturbations are almost gaussian while there is sizable (equilateral) nongaussianity in the tensor sector. In this model, a rolling pseudoscalar gravitationally coupled to the inflaton…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-28 Jessica L. Cook , Lorenzo Sorbo

Stochastic inflation describes the global structure of the inflationary universe by modeling the super-Hubble dynamics as a system of matter fields coupled to gravity where the sub-Hubble field fluctuations induce a stochastic force into…

High Energy Physics - Theory · Physics 2008-11-26 Andrew J. Tolley , Mark Wyman

We generalize the Effective Field Theory of Inflation to include additional light scalar degrees of freedom that are in their vacuum at the time the modes of interest are crossing the horizon. In order to make the scalars light in a natural…

High Energy Physics - Theory · Physics 2015-05-19 Leonardo Senatore , Matias Zaldarriaga

The simplest realizations of the new inflationary scenario typically give rise to primordial density fluctuations which deviate logarithmically from the scale free Harrison - Zeldovich spectrum. We consider a number of such examples and, in…

High Energy Physics - Phenomenology · Physics 2011-05-12 R. K. Schaefer , Q. Shafi

Inflation is a necessary cosmic mechanism to cure basic inconsistencies of the standard model of cosmology. These problems are usually `fixed' by postulating the existence of a scalar field (called the ``inflaton''). However, other less ad…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Joan Solà Peracaula , Àlex González-Fuentes , Cristian Moreno-Pulido

Using ideas of STM theory, but starting from a 6D vacuum state, we propose an inflationary model where the universe emerges from the blast of a white hole. Under this approach, the expansion is affected by a geometrical deformation induced…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose Edgar Madriz Aguilar , Mauricio Bellini

I describe a recently derived stochastic approach to inflaton dynamics which can address some serious problems associated with conventional inflationary theory. Using this theory I derive an exact solution to the stochastic dynamics for the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Andrew Matacz

In this paper we calculate the gravitational-wave power-spectra corresponding to different types of transitions between the inflationary regime and the radiation era. We study four cases, where inflation is followed by a stiff matter phase,…

Astrophysics · Physics 2008-11-26 Alfredo B. Henriques

The stochastic approach aims at describing the long-wavelength part of quantum fields during inflation by a classical stochastic theory. It is usually formulated in terms of Langevin equations, giving rise to a Fokker-Planck equation for…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Lucas Pinol , Sébastien Renaux-Petel , Yuichiro Tada

We study the inflationary consequences of Degenerate Higher Order Scalar Tensor (DHOST) theories in a de Sitter background. We perturb the de Sitter background by operators breaking either the degeneracy condition, i.e scordatura DHOST, or…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-12 Philippe Brax , Andrei Lazanu