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NEGATIVE ENERGY. “However, prolonged outflow of negative energy to large radii is problematic, since at large radii the energy density violates minimum average energy density theorems proved for quantum field theory in Minkowski spacetime.” https://lnkd.in/dUKnus8 View in LinkedIn

INFORMATION PARADOX. “Quantum information falling across the event horizon is swallowed up by a singularity or disappears into a "baby universe", unless it can propagate acausally. Could it somehow all remain on or outside the event horizon even as the quantum fields propagate into the black hole?” https://lnkd.in/dUKnus8 View in LinkedIn

BUT OF COURSE. “The metric is smoothly continued into the white hole as a function of a coordinate z related to the circumferential radius by r2 = a2 + z2 , and the effective stress-energy tensor has an outflow of negative energy across the white hole horizon to future null infinity.” https://lnkd.in/dUKnus8 View in LinkedIn

FRAGMENT FROM NATURE for this and next weekend focuses on a bacterial parasite which has evolved an extraordinary proliferation strategy: make only infected hosts able to reproduce. The article is titled: Life and Death of Selfish Genes: Comparative Genomics Reveals the Dynamic Evolution of Cytoplasmic Incompatibility. https://lnkd.in/dXjWp9f View in LinkedIn

Yes, as it seems. This is his habit. Lucky me. View in LinkedIn

TWO AUTHORS. “The design of our bodies is simultaneously extraordinarily precise and unbelievably slipshod. It is as if the best engineers in the universe took every seventh day off and turned the work over to bumbling amateurs.” (Randolph Nesse and George Williams) https://lnkd.in/d9KtiYn View in LinkedIn

THE REMNANT. “The evaporation of the black hole plausibly continues until an advanced time at which there are no longer any trapped surfaces for z < 0 . If evaporation were to stop sooner, the result would be a "dead" remnant black hole containing all the quantum information of the Hawking "partners." https://lnkd.in/dUKnus8 View in LinkedIn

PROBLEM. “Numerical calculations of the renormalized semi-classical stress-energy tensor outside the horizon of a Schwarzschild black show a flow of negative energy into the black hole starting a finite distance outside the horizon, and are inconsistent with an outflow of positive energy Hawking radiation from pair creation or tunneling very close to the horizon.” https://lnkd.in/dUKnus8 View in LinkedIn

ASSUMPTIONS. “The model assumes spherical symmetry of the geometry, which, while the black hole is large, is extremely close to Schwarzschild near and outside of the black hole horizon.” https://lnkd.in/dUKnus8 View in LinkedIn

REPERCUSSIONS. “This has implications for the validity of the generalized second law and certain quantum singularity theorems as applied to black holes.” https://lnkd.in/dUKnus8 View in LinkedIn