Acceleration of expanding space

AI Thread Summary
The discussion centers on the anomalous acceleration of the Pioneer spacecraft and whether existing physics mechanisms, such as virtual particle energy density, can explain this phenomenon. It highlights the significant discrepancy in vacuum density predicted by quantum mechanics, which is 120 orders of magnitude too high, suggesting that miraculous cancellations of energy contributions must occur. The conversation explores the potential of vacuum energy as a solution for dark energy, alongside alternatives like quintessence that introduce new particles. A key point raised is the relationship between energy density and pressure in matter, noting that while matter has high energy density, it exerts minimal pressure. This raises questions about the forces that prevent energy from dispersing and how they relate to the curvature of spacetime. The discussion emphasizes the need for a deeper understanding of these forces to resolve the inconsistencies in current theories regarding space expansion and gravitational effects.
schwarzchildradius
What's the reason for it? Is there a mechanism already existing in physics to explain it, such as virtual particle energy density, to account for the anomalous acceleration? Will such an explanation solve the mystery of the acceleration of the Pioneer spacecraft ?
To know we've got to solve http://math.ucr.edu/home/baez/physics/Relativity/GR/cosConstant.html .
because, according to this web site, the vacuum density predicted by quantum mechanics is 120 orders of magnitude too high (a density of 1091g/cm3.
 
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Yup, the vacuum thing is a problem. There are contributions of opposite sign from a bunch of sources, so clearly there must be some miraculous cancellations going on. That -- vacuum energy, or virtual particle energy density if you prefer -- is prob the preferred solution for the dark energy. There are other ones, like quintessence, which do things like introduce new particles. It's still a big open problem, though.
 
Do you know why the quantum fluctuations don't cancel each other out completely? It seems like there would have to be some asymmetry, like the Cassimir effect.
 
May be the problem is in matter pressure? Matter has enormous energy density while practically zero pressure. But pressure and energy density are one and the same thing (same units, etc).

So there is something which "holds" energy of matter preventing it from exerting pressure (say, e/m and nuclear forces). Without knowing exact structure of these forces (and why they hold energy from spreading) we probably can't solve this misfit.
 
May be the problem is in matter pressure? Matter has enormous energy density while practically zero pressure. But pressure and energy density are one and the same thing (same units, etc).
Wait, it sounds like you're talking about the reason spacetime is bent as result of mass, and that's not quite what I'm asking (or is it? I don't know how expanding space and curved space are specifically related, other than energy conservation between them.)
So there is something which "holds" energy of matter preventing it from exerting pressure (say, e/m and nuclear forces). Without knowing exact structure of these forces (and why they hold energy from spreading) we probably can't solve this misfit.
I've heard that the energy holding the nuclear particles together makes up nearly 1/2 the mass of the whole particle. The e/m and nuclear forces have positive energy definitions, while gravity has negative energy. Ostensibly photons make up the binding energy of particles. Seems like if we want to know how space expands we need to know what makes it curve, better.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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