Breaking the conformal freedom of spacetime with supernova neutrino imaging (bibtex)
by Joonas Ilmavirta, Gunther Uhlmann
Abstract:
It is known that a geometric measurement of the light cones of supernovae determines the conformal class of the visible part of the spacetime. The conformal factor is physically meaningful but cannot be determined geometrically by anything with zero mass, such as the photon. We show that measuring the neutrino cones in addition to light cones completely removes this gauge freedom. We describe the physical model in great detail, including why ultrarelativistic neutrinos are the only option.
Reference:
Breaking the conformal freedom of spacetime with supernova neutrino imaging (Joonas Ilmavirta, Gunther Uhlmann), 2021. [show abstract] [hide abstract] It is known that a geometric measurement of the light cones of supernovae determines the conformal class of the visible part of the spacetime. The conformal factor is physically meaningful but cannot be determined geometrically by anything with zero mass, such as the photon. We show that measuring the neutrino cones in addition to light cones completely removes this gauge freedom. We describe the physical model in great detail, including why ultrarelativistic neutrinos are the only option. [arXiv]
Bibtex Entry:
@unpublished{conformal-neutrino,
	author = {Joonas Ilmavirta and Gunther Uhlmann},
	title = {{Breaking the conformal freedom of spacetime with supernova neutrino imaging}},
	month = dec,
	year = {2021},
	abstract = {It is known that a geometric measurement of the light cones of supernovae determines the conformal class of the visible part of the spacetime. The conformal factor is physically meaningful but cannot be determined geometrically by anything with zero mass, such as the photon. We show that measuring the neutrino cones in addition to light cones completely removes this gauge freedom. We describe the physical model in great detail, including why ultrarelativistic neutrinos are the only option.},
	url={http://users.jyu.fi/~jojapeil/pub/conformal-neutrino.pdf},
    arxiv = {2112.07543}
}
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