# The Uncertainty Principle and Classical Amplitudes

@inproceedings{Cristofoli2021TheUP, title={The Uncertainty Principle and Classical Amplitudes}, author={Andrea Cristofoli and Riccardo Gonzo and Nathan Moynihan and Donal O’Connell and Alasdair Ross and Matteo Sergola and Chris D. White}, year={2021} }

We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation…

## 5 Citations

Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes

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- 2022

We compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through O ( G 3 ) to all orders in velocity, including linear and quadratic spin terms. To…

Angular momentum of zero-frequency gravitons

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- 2022

By following closely Weinberg’s soft theorem, which captures the 1 /ω pole contribution to the amplitude for soft graviton emissions ( ω < Λ) on top of an arbitrary background hard process, we…

NLO deflections for spinning particles and Kerr black holes

- Physics
- 2022

We employ the “KMOC” formalism of [1] to compute classical momentum deﬂections of spinning bodies with arbitrary spin orientations. We do this in electrodynamics and gravity, up to order O ( e 2 a ∞…

Radiation reaction for spinning black-hole scattering

- Physics
- 2022

Starting from the leading soft term of the 5-point amplitude, involving a graviton and two Kerr black holes, that factorises into the product of the elastic amplitude without the graviton and the…

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- Physics
- 2022

Observables related to the real part of the gravitational eikonal, such as the deﬂection angle and time delay, have been found so far to have a smooth post-Minkowskian (PM) expansion whose validity…

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