Bondi Four-Momentum Balance in Quantum NSF Classical matching, DKL supermomentum, and quantum energy redistribution
Abstract
We derive Bondi four-momentum balance between past and future null infinity in the radiative phase space of the null-surface formulation (NSF). Weyl matching at spatial infinity, together with vanishing endpoint News, gives antipodal continuity of the Bondi mass aspect. Its translation projection is independent of the infrared shear term and transforms as a Lorentz four-vector. Bondi evolution relates the incoming and outgoing News fluxes to the timelike endpoint momenta; in the Dominguez--Kozameh--Ludvigsen radiative sector these momenta vanish and the fluxes are equal. On a common radiative Fock domain, unitary conjugation transports the flux observables. Adopting their classical balance as an additional quantum condition yields exclusive four-momentum conservation. We also calculate the outgoing energy expectation without imposing that condition. For an incoming energy eigenstate, the second-generator commutator vanishes diagonally, leaving a second-order coefficient determined by the cubic generator. Direct canonical contractions isolate the contribution connected to all four external legs. For the equal-energy center-of-mass preparation, axial rotational covariance forces the angularly integrated exchange coefficient to vanish under the finite helicity-projection prescription of Part~I. The connected energy defect therefore vanishes through second order. The full expectation (including spectators) and higher-order balance remain open.
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BibTeX
@misc{kozameh2026bondi,
title = {{Bondi Four-Momentum Balance in Quantum NSF Classical matching, DKL supermomentum, and quantum energy redistribution}},
author = {Carlos Kozameh and Gerardo DEpaola},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.14484},
eprint = {2610.14484},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.14484},
}
RIS
TY - UNPB
TI - Bondi Four-Momentum Balance in Quantum NSF Classical matching, DKL supermomentum, and quantum energy redistribution
AU - Carlos Kozameh
AU - Gerardo DEpaola
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.14484
UR - https://arxiv.org/abs/2610.14484
AB - We derive Bondi four-momentum balance between past and future null infinity in the radiative phase space of the null-surface formulation (NSF). Weyl matching at spatial infinity, together with vanishing endpoint News, gives antipodal continuity of the Bondi mass aspect. Its translation projection is independent of the infrared shear term and transforms as a Lorentz four-vector. Bondi evolution relates the incoming and outgoing News fluxes to the timelike endpoint momenta; in the Dominguez--Kozameh--Ludvigsen radiative sector these momenta vanish and the fluxes are equal. On a common radiative Fock domain, unitary conjugation transports the flux observables. Adopting their classical balance as an additional quantum condition yields exclusive four-momentum conservation. We also calculate the outgoing energy expectation without imposing that condition. For an incoming energy eigenstate, the second-generator commutator vanishes diagonally, leaving a second-order coefficient determined by the cubic generator. Direct canonical contractions isolate the contribution connected to all four external legs. For the equal-energy center-of-mass preparation, axial rotational covariance forces the angularly integrated exchange coefficient to vanish under the finite helicity-projection prescription of Part~I. The connected energy defect therefore vanishes through second order. The full expectation (including spectators) and higher-order balance remain open.
ER -