Quantum initial conditions for inflation and canonical invariance

Agocs, F. J.; Hergt, L. T.; Handley, Will; Lasenby, A.; Hobson, M.

doi:10.1103/physrevd.102.023507

Cited by 10 publications

(9 citation statements)

References 52 publications

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“…( 7) and ( 8) in a more appropriate form. As observed by Agocs et al [20], there is considerable freedom in the form that these equations take, as one may simultaneously transform both the independent and dependent variables.…”

Section: The Mukhanov-sazaki Equationmentioning

confidence: 99%

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Rapid numerical solutions for the Mukhanov-Sasaki equation

Haddadin,

Handley

2018

Preprint

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Section: The Mukhanov-sazaki Equationmentioning

confidence: 99%

“…In the fast-roll and kinetically dominated paradigms, this condition can never be fulfilled for small k. In these cases, the situation becomes less clear-cut, although alternative initial conditions have been proposed [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Rapid numerical solutions for the Mukhanov-Sasaki equation

Haddadin,

Handley

2018

Preprint

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“…Hence the key features in these primordial power spectra, which may allow for experimentally distinguishing between vacuum initial conditions, are the position of the low k cutoff and the size of any oscillations in the intermediate k region. Therefore qualitatively it seems RSET may be observationally distinguishable from the other three, this idea has been previously discussed in [9,10].…”

Section: E Approximating the Primordial Power Spectramentioning

confidence: 55%

“…There remains much debate as to which of the proposed vacua is the correct one to set. Detailed discussions of the theoretical merits and issues of some of these different choices can be found in [9,10].…”

Section: Initial Condition Definitionmentioning

confidence: 99%

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Constraining Quantum Initial Conditions before Inflation

Gessey-Jones,

Handley

2021

Preprint

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We theoretically and observationally investigate different choices of initial conditions for the primordial mode function that are imposed during an epoch preceding inflation. By deriving predictions for the observables resulting from several alternate quantum vacuum prescriptions we show some choices of vacua are theoretically observationally distinguishable from others. Comparing these predictions to the Planck 2018 observations via a Bayesian analysis shows no significant evidence to favour any of the quantum vacuum prescriptions over the others. In addition we consider frozen initial conditions, representing a white-noise initial state at the big-bang singularity. Under certain assumptions the cosmological concordance model and frozen initial conditions are found to produce identical predictions for the cosmic microwave background anisotropies. Frozen initial conditions may thus provide an alternative theoretic paradigm to explain observations that were previously understood in terms of the inflation of a quantum vacuum.

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Controlling Phase Conversion of Cu-Sb-Se Nanoparticles through the Use of an Amide Base

Kale,

Bullett,

Prieto

2023

Nano Lett.

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The family of copper antimony selenides is important for renewable energy applications. Several phases are accessible within narrow energy and compositional ranges, and tunability between phases is not well-established. Thus, this system provides a rich landscape to understand the phase transformations that occur in hot-injection nanoparticle syntheses. Rietveld refinements on X-ray diffraction patterns model anisotropic morphologies to obtain phase percentages. Reactions targeting the stoichiometry of CuSbSe2 formed Cu3SbSe3 before decomposing to thermodynamically stable CuSbSe2 over time. An amide base was added to balance cation reactivity and directly form CuSbSe2. Interestingly, Cu3SbSe3 remained present but converted to CuSbSe2 more rapidly. We propose that initial Cu3SbSe3 formation may be due to the selenium species not being reactive enough to balance the high reactivity of the copper complex. The unexpected effect of a base on cation reactivity in this system provides insight into the advantages and limitations for its use in other multivalent systems.

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Quantum initial conditions for inflation and canonical invariance

Cited by 10 publications

References 52 publications

Rapid numerical solutions for the Mukhanov-Sasaki equation

Rapid numerical solutions for the Mukhanov-Sasaki equation

Constraining Quantum Initial Conditions before Inflation

Controlling Phase Conversion of Cu-Sb-Se Nanoparticles through the Use of an Amide Base

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