Attempts At Falsifying The Strong Energy Condition
While the intent of the energy conditions is to provide simple criteria which rule out many unphysical situations while admitting any physically reasonable situation, in fact, at least when one introduces an effective field modeling some quantum mechanical effects, some possible matter tensors which are known to be physically reasonable and even realistic because they have been experimentally verified to actually fail various energy conditions. In particular, in the Casimir effect, in the region between two conducting plates held parallel at a very small separation d, there is a negative energy density
between the plates. (Be mindful, though, that the Casimir effect is topological, in that the sign of the vacuum energy depends on both the geometry and topology of the configuration. Being negative for parallel plates, the vacuum energy is positive for a conducting sphere.) Fortunately, various quantum inequalities suggest that a suitable averaged energy condition may be satisfied in such cases. In particular, the averaged null energy condition is satisfied in the Casimir effect. Indeed, for energy-momentum tensors arising from effective field theories on Minkowski spacetime, the averaged null energy condition holds for everyday quantum fields. Extending these results is an open problem.
The strong energy condition is obeyed by all normal/Newtonian matter, but a false vacuum can violate it. Consider the linear barotropic equation state
- ,
where is the matter energy density, is the matter pressure, and is a constant. In the case where, which is known as the false vacuum, the strong energy condition is violated. However, this equation of state only becomes relevant above temperatures of at least Kelvin. This would only happen under highly extreme conditions when quantum effects become dominant, and where classical general relativity would not apply. The main reason for wanting to falsify the strong energy condition is to avoid the initial singularity in the universe. The aforementioned suggests that a non-singular universe model would not obey the laws of classical physics at all times in the past.
Read more about this topic: Energy Condition
Famous quotes containing the words attempts at, attempts, falsifying, strong, energy and/or condition:
“[Allegory] is a flight by which the human wit attempts at one and the same time to investigate two objects, and consequently is fitted only to the most exalted geniuses.”
—Sarah Fielding (1710–1768)
“Society gains nothing whilst a man, not himself renovated, attempts to renovate things around him; he has become tediously good in some particular but negligent or narrow in the rest; and hypocrisy and vanity are often the disgusting result.”
—Ralph Waldo Emerson (1803–1882)
“I sit in the top of the wood, my eyes closed.
Inaction, no falsifying dream
Between my hooked head and hooked feet:
Or in sleep rehearse perfect kills and eat.”
—Ted Hughes (b. 1930)
“The weak in courage is strong in cunning.”
—William Blake (1757–1827)
“Much of the modern resistance to chastity comes from men’s belief that they “own” their bodies—those vast and perilous estates, pulsating with the energy that made the worlds, in which they find themselves without their consent and from which they are ejected at the pleasure of Another!”
—C.S. (Clive Staples)
“Beautiful credit! The foundation of modern society. Who shall say that this is not the golden age of mutual trust, of unlimited reliance upon human promises? That is a peculiar condition of society which enables a whole nation to instantly recognize point and meaning in the familiar newspaper anecdote, which puts into the mouth of a distinguished speculator in lands and mines this remark:M”I wasn’t worth a cent two years ago, and now I owe two millions of dollars.””
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)