Symmetries of CMB Temperature Correlation at Large Angular Separations

Hagimoto, Ray; Hogan, Craig J.; Lewin, Collin; Meyer, S. S.

doi:10.3847/2041-8213/ab62a0

Cited by 15 publications

(24 citation statements)

References 24 publications

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“…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%

“…We also propose below a direct model-independent statistical test that can include both of the angular-domain symmetries, Eqs. (20) and (25).…”

Section: B Antihemispherical Anticorrelationmentioning

confidence: 99%

“…The correlation is then zero or negative everywhere in the antihemisphere (Eqs. 20,25), where the C dipole is entangled only with odd-parity perturbations on A.…”

Section: Dipole Fixed By Exact Antipodal Parity Symmetrymentioning

confidence: 99%

“…On the other hand, there are hints that large angle correlations may actually have a deeper significance. One remarkable example is a nearly exactly vanishing angular two-point correlation function at right angles [25]:…”

Section: Introduction a Primordial Structure On Large Angular Scalesmentioning

confidence: 99%

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Angular correlations of causally-coherent primordial quantum perturbations

Hogan,

Meyer

2021

Preprint

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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.

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

confidence: 99%

“…We also propose below a direct model-independent statistical test that can include both of the angular-domain symmetries, Eqs. (20) and (25).…”

Section: B Antihemispherical Anticorrelationmentioning

confidence: 99%

“…The correlation is then zero or negative everywhere in the antihemisphere (Eqs. 20,25), where the C dipole is entangled only with odd-parity perturbations on A.…”

Section: Dipole Fixed By Exact Antipodal Parity Symmetrymentioning

confidence: 99%

Section: Introduction a Primordial Structure On Large Angular Scalesmentioning

confidence: 99%

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Angular correlations of causally-coherent primordial quantum perturbations

Hogan,

Meyer

2021

Preprint

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“…The effect of coherent horizons may already have been directly measured in cosmological observations: they would produce primordial perturbations during inflation of the order of Eq. (53), much larger than standard inflation theory, and could create new observable symmetries in quantum correlations of cosmic microwave background anisotropy [27][28][29].…”

Section: Discussionmentioning

confidence: 99%

Gravity of Two Photon Decay and its Quantum Coherence

Mackewicz,

Hogan

2021

Preprint

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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.

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Pattern of perturbations from a coherent quantum inflationary horizon

Hogan

2020

Class. Quantum Grav.

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It is proposed that the inflationary horizon in holographic quantum gravity imprints primordial scalar curvature perturbations with a distinctive pattern whose correlations differ from the standard quantum theory of inflation. Holographic and causal constraints are used to formulate candidate directional symmetries of perturbations in the angular domain. It is suggested that this hypothesis could provide a physical explanation for several well known anomalies measured in CMB anisotropy. New exact symmetries are predicted, such as a vanishing temperature correlation function at 90 degrees angular separation, that can be tested with current data.

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Symmetries of CMB Temperature Correlation at Large Angular Separations

Cited by 15 publications

References 24 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

Pattern of perturbations from a coherent quantum inflationary horizon

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