I like this way... Starting from left to right with palms down, the tip of the left pinky is 1. Counting through the fingers, the tip of the right pinky is 10. The top knuckle of the left pinky is 11 and so forth. Going though the knuckles, you get to forty (I count the thumb joints at the...
I am not sure I totally understand what you are asking but I take a stab at an answer...
Where F = the final amount in the account, P = the principal invenstment, r = the rate of return per interest period, n = the number of interest periods, and A = additonal investment per insterest period...
Here is an answer to the question form Gordon Kane, director of the Michigan Center for Theoretical Physics at the University of Michigan at Ann Arbor: http://www.scientificamerican.com/article.cfm?id=are-virtual-particles-rea
There would still be virtual particles ONLY if the vacuum had an expectation value greater than zero. If the VEV is greater than zero then space-time would have an intrinsic energy all its own, apart from matter, energy and their dark verities). If a condition could be reach where the universe...
Might I suggest that you take a look at this paper from Alan Guth: http://arxiv.org/pdf/hep-th/0702178v1.pdf
From the paper, "Although the false vacuum is a metastable state, the decay of the false vacuum is an exponential process, very much like the decay of any radioactive or unstable...
So Hawking's argument is that a black hole has a non-zero temperature and so radiates as a thermal black body. His justification is based in QM but with that caveat, "It should be emphasized that these pictures of the mechanism responsible for the thermal emission and area decrease are...
How does the escape of am anti-particle reduce the mass of a black hole? Such an event would have a particle falling into a black hole, thereby increasing the mass of the black hole and decreasing the mass of the rest of the universe.
If I understand correctly, Hawking Radiation is created when the anti-particle of a virtual particle pair falls into a black hole while the particle of the pair escapes. The anti-particle goes on to annihilate with a particle in the black hole. Is not the annihilated particle identical to the...
The Cheshire Cat appears and disappears when we start worrying about what an in falling observer experiences. But since an in falling observer cannot communicate what it is they observed after passing through the event horizon, it seems to me that we should spend not so much time worrying about...
Sounds like you're asking about AdS/CFT correspondence and the holographic principle. Take a look at this article http://www.sns.ias.edu/~malda/sciam-maldacena-3a.pdf, it might help provide some clarity.