In 1932 Landau speculated that the conservation of energy is not valid in neutron stars and appealed to the authority of Niels Bohr:
Following a beautiful idea of Professor Niels Bohr’s we are able to
believe that the stellar radiation is due simply to a violation of the
law of energy, which law, as Bohr has first pointed out, is no longer
valid in the relativistic quantum theory, when the laws of ordinary
quantum mechanics break down..
A few years later there was some ideological witch hunting announced by Friedman's article in the journal Under the banner of Marxism with the title "Against Denials of the Law of conservation and transformation of Energy". Landau found himself imprisoned and some details of the story were recounted recently; as its authors report:
in his first letter to Stalin on 28 April 1938, the very day of the
Landau’s arrest, Kapitsa argued that Landau “. . . published one
remarkable paper, where he was the first to show a new source of
stellar radiation.” Thus Landau’s paper was used as an argument to
save his life.
Refs. L. D. Landau, Phys. Z. Sowjetunion, 1(1932), 285.
1932 "On the theory of stars"; reprinted in *Neutron
Stars, Black Holes and Binary X-ray Sources*, ed. H Gursky, R Ruffini, Dordrecht: Reidel, 1974) p. 271
 Ф. Г. Фридман, Под знаменем марксизма, 1937, 12, С. 192-200. Против отрицания закона сохранения и превращения энергии
Yakovlev D., et al., arxiv.org (2012) * Lev Landau and the conception of neutron stars