Pattern of perturbations from a coherent quantum inflationary horizon

Hogan, Craig J.

doi:10.1088/1361-6382/ab7964

Cited by 14 publications

(23 citation statements)

References 87 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We have argued previously [35][36][37][38][39] that causal constraints in holographic space-times lead to constraints on large angular scale correlations in the cosmological system. Here, we investigate the consequences of the specific conjecture that the angular spectrum C and correlation function C(Θ) of primordial curvature perturbations on spherical surfaces around any comoving world line approximate universal functions at large angles, governed by the requirement that correlations of invariant scalar curvature among different world lines arise entirely from causal entanglement within their horizons.…”

Section: Causal Constraints On Large-angle Correlationsmentioning

confidence: 99%

“…The same is true for points on the great circle normal to any polar direction: there is no opportunity for information from a plane tangent at a pole to causally affect correlations of ∆ on its great circles. Since values of ∆ on any great circle are independent of polar values, it follows [25,38,39] that C(π/2) = 0.…”

Section: Antihemispherical Causal Constraints a Vanishing Correlation...mentioning

confidence: 99%

“…where a black hole forms. The macroscopic directional coherence of geometrical states makes an enormous difference to both the nature and the amplitude of purely geometrical quantum fluctuations [38,39]. Gravitational time distortions of virtual states are dominated by the most massive, shortest wavelength particle states.…”

Section: B Coherent Gravitational Fluctuations Of Horizonsmentioning

confidence: 99%

See 2 more Smart Citations

Angular correlations of causally-coherent primordial quantum perturbations

Hogan,

Meyer

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We consider the hypothesis that fundamental symmetries of quantum gravity require correlations of primordial scalar curvature perturbations among world lines to be consistent with causallycoherent entanglement within their inflationary horizons. The angular power spectrum C of primordial curvature on comoving spherical surfaces governed by this constraint has much less cosmic variance than predicted by the standard quantum model of inflation. The 2-point angular correlation function C(Θ) is predicted to obey new, exact causal constraints at Θ > 90 • , and an approximate analytic model of C(Θ) is constructed based on causal considerations. The causal constraints and analytic approximation are shown to be consistent with measured correlations of CMB maps on large angular scales, allowing for uncertainties from the unmeasured intrinsic dipole and from Galactic foreground subtraction. The absence of cosmic variance will enable powerful tests of the hypothesis with better foreground subtraction and higher fidelity measurements on large angular scales.

show abstract

Section: Causal Constraints On Large-angle Correlationsmentioning

confidence: 99%

Section: Antihemispherical Causal Constraints a Vanishing Correlation...mentioning

confidence: 99%

Section: B Coherent Gravitational Fluctuations Of Horizonsmentioning

confidence: 99%

See 1 more Smart Citation

Angular correlations of causally-coherent primordial quantum perturbations

Hogan,

Meyer

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Equation (28) is the main result of this paper, the angular pattern of time displacement recorded on the surface of the causal diamond. Since the weighting falls off as ∼ 1/l 3 , the l = 2 mode will be the dominant contribution.…”

Section: Time Displacementmentioning

confidence: 99%

Gravity of Two Photon Decay and its Quantum Coherence

Mackewicz,

Hogan

2021

Preprint

Self Cite

View full text Add to dashboard Cite

A linear analytical solution is derived for the gravitational shock wave produced by a particle of mass M that decays into a pair of null particles. The resulting space-time is shown to be unperturbed and isotropic, except for a discontinuous perturbation on a spherical null shell. Formulae are derived for the perturbation as a function of polar angle, as measured by an observer at the origin observing clocks on a sphere at distance R. The effect of the shock is interpreted physically as an instantaneous displacement in time and velocity when the shock passes the clocks.The time displacement is shown to be anisotropic, dominated by a quadrupole harmonic aligned with the particle-decay axis, with a magnitude δτ ∼ GM/c 3 , independent of R. The velocity displacement is isotropic. The solution is used to estimate the angular distribution of gravitational perturbations from a quantum state with a superposition of a large number of randomly oriented, statistically isotropic particle decays. This approach is shown to provide a well-controlled approximation to estimate coherent, nonlocal, spacelike correlations of weak-field gravity from systems composed of null point particles up to the Planck energy, including macroscopic quantum coherence of causal quantum-gravitational fluctuations. The solution is extrapolated to estimate gravitational fluctuations from a gas of relativistic particles, and from quantum distortions of a black hole or cosmological horizon.

show abstract

“…The decomposition of the correlations into spherical harmonics Y m l derived in this way has most of its power in low l modes, which motivates the prediction that the transverse correlations extend over macroscopic angular separations, as mentioned above. Moreover, it has been suggested that the angular power spectrum of the temperature fluctuations in the CMB is a manifestation of this fundamental decomposition in spherical harmonics of quantum fluctuations on an inflationary horizon [29].…”

Section: Introductionmentioning

confidence: 99%

An experiment for observing quantum gravity phenomena using twin table-top 3D interferometers

Vermeulen

Aiello

Ejlli

et al. 2021

Class. Quantum Grav.

View full text Add to dashboard Cite

Theories of quantum gravity based on the holographic principle predict the existence of quantum fluctuations of distance measurements that accumulate and exhibit correlations over macroscopic distances. This paper models an expected signal due to this phenomenology, and details the design and estimated sensitivity of co-located twin table-top 3D interferometers being built to measure or constrain it. The experiment is estimated to be sensitive to displacements ∼10 −19 m/ √ Hz in a frequency band between 1 and 250 MHz, surpassing previous experiments and enabling the possible observation of quantum gravity phenomena. The experiment will also be sensitive to MHz gravitational waves and various dark matter candidates.

show abstract

Pattern of perturbations from a coherent quantum inflationary horizon

Cited by 14 publications

References 87 publications

Angular correlations of causally-coherent primordial quantum perturbations

Angular correlations of causally-coherent primordial quantum perturbations

Gravity of Two Photon Decay and its Quantum Coherence

An experiment for observing quantum gravity phenomena using twin table-top 3D interferometers

Contact Info

Product

Resources

About