The expanding Earth or growing Earth hypothesis asserts that the position and relative movement of continents is at least partially due to the volume of Earth increasing. Conversely, geophysical global cooling was the hypothesis that various features could be explained by Earth contracting.
Although it was suggested historically, since the recognition of plate tectonics in the 1970s, scientific consensus has rejected any significant expansion or contraction of Earth.
Homework Statement
## L (v^2 + 2 \pmb{v} \cdot \pmb{ \epsilon } ~ + \pmb{ \epsilon} ^2)##, where ## \pmb{\epsilon}## is infinitesimal and ##\pmb{v}## is a constant vector (## v^2 ## here means ## \pmb{v} \cdot \pmb{v} ## ), must be expanded in terms of powers of ## \pmb{\epsilon} ## to give...
Hello,
I've worked through most of Carroll's appendix on the non-coordinate basis.
I see and agree how the spin connection and tetrad one-forms are useful while calculating.
However as an example he sets out to apply the formalism to a spatially flat, expanding universe.
ds^2 = -dt^2...
Hubble observed that not only is the universe expanding but that it is accelerating. With the model of the Big Bang as I understand it, the universe began as a big explosion. That would mean that it expanded at a rate exceeding the speed of light or at least close to it. If that is correct, that...
Viewpoint 1:
Because gravity or other forces that are holding the thing concerned (be it a galaxy, a ruler or an atom) together are way stronger than the "force" caused by the expansion of space. So strictly speaking, space does in fact expand everywhere, including the space inside an atom...
I need some help from people who can read the math in papers by such physicists as Linde. In his 2014 paper (on the web) "Inflationary Cosmology after Planck 2013", he says,
"False vacuum is a metastable state without any fields or particles but with large energy density. Imagine a universe...
< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >
So the original problem was that a stationary hydrogen atom changed states from excited to lower state and emitted a photon, i solved for the energy of the photon hf taking into account the kinetic...
I know that universe can be have three different futures.But for lastes theories universe is growing faster then we thought.I want to ask how much energy we need to make this observable universe.
Hello,
I need to calculate the force applied within a clutch pack by an expanding disk. Can you guys tell me if there is anyway to do this? I am working to find the torque capacity of a centrifugal clutch using the equation:
Torque Capacity = 2/3 * COF * n * F * Radius Gyration
where COF =...
Guys I know this is absurd, but it kinda makes sense to me. Recently, while i was doing housekeeping, I asked my brother to throw a piece of sponge down. He compressed the sponge and dropped it down. While the compressed sponge was falling, I saw it expanding. Seeing this, I realized that the...
Hello everyone, i am just bothered by the theory that our universe is expanding, if so i want to know, what substance is filling the void as our universe expands, and where does this substance come from,
Thank you
Hey
I have a tight binding Hamiltonian of a BCC lattice which is a 4x4 matrix in k space (the 4 elements correspond to 4 atoms that are in a unit cell)
I want to expand it for small k's around the symmetry points P or Gamma or H.
I'm looking at a paper by J. L. Ma˜nes, PHYSICAL REVIEW B 85...
Is the expansion of the universe after the big bang just the the "uncurving" of space time from an inconceivable point? And if so, is the loss of energy that curved it that much the only thing that could allow it to "uncurve"? I hate to use the word loss of energy, but I'm not for sure where...
Suppose that everything in the Universe - the radius of the sun, the astronomical units, radius of atoms, and everything else were to expand proportionately during the same period of time. This would mean also that the ratio of the time period of the various planets around the sun, and all local...
Hello everyone!
First time asking a question here, go easy on me!
I am a first year Mech-Eng student in Ireland, and I need some guidance from one of the amazing brains here at physicsforums.
I am told by my thermofluids lecturer that in thermal expansion, the amount of material expanding is...
Homework Statement
In a cylinder of an automobile engine, immediately after combustion the gas is confined to a volume of 50.0 cm3 and has an initial pressure of 3.00x106 Pa. The piston moves outward to a final volume of 300 cm3, and the gas expands without energy transfer by heat. (a) What...
Please forgive my lack of knowledge about the more complex ways that we have determined that the rate at which the universe is expanding is increasing, but one thing puzzles me. I have read that based on measurements of the red shift of light we have concluded that the farther we look out into...
People often use the expanding balloon with galaxies on the surface to represent the expansion of space. But this view doesn't show how this expansion works in 3d and it doesn't show how gravity comes into play. Instead of putting the galaxies on the surface of the balloon all we have to do is...
Homework Statement
An expanding sphere, radius ##R(t) = vt## (##t>0##, constant ##v##) carries a charge ##Q##, uniformly distributed over its volume. Evaluate the integral Q_{eff} = \int \rho(\vec{r},t_r) d\tau with respect to the center. (##t_r## is the retarded time and ##d\tau## is an...
I'm trying to reconcile the fact that regions of the universe are expanding faster than light, and that as a consequence the observable universe is far more than 13.7 billion light years across. I trust these are the facts, but I'm stuck figuring out how we know these to be true. I feel like...
Homework Statement
If \int_{0}^{1} f(x) g(x) \ dx converges, and assuming g(x) can be expanded in a Taylor series at x=0 that converges to g(x) for |x| < 1 (and perhaps for x= -1 as well), will it always be true that \int_{0}^{1} f(x) g(x) \ dx = \int_{0}^{1} f(x) \sum_{n=0}^{\infty}...
Could the accelerating rate of the expansion of the universe be due to the conversion of potential energy to kinetic energy?
At the early stages of the big bang there would be tremendous amounts of potential energy (because it was so compressed). As it expanded, the universe, by the conservation...
Ok, so I was just in physics class today and we were talking about special relativity... anyways, the instructor referred to how the universe is expanding, and so much so that there are places we could never ever get to because it's expanding fasterling than the speed of light. Anyways, this...
Some 2D creatures are living on a sphere that it radius in increasing over time. They think that they are living on a expanding plane. The max speed of information is speed of light. The life time of the creatures are very smaller that the radius divided by speed of light. How can they find out...
As I understand it, space continues to expand everywhere. But bound systems such as atoms and solar systems stay the same size due to local interactions. If this be true, should not energy be continually released by this "falling in" of matter within every atom, molecule, and planetary system...
So I've started reading Landau's classical mechanics text and I'm at the part where L(v'2) = L(v2 + 2v⋅ε +ε2) and he says to expand it out in powers of ε to get L(v'2) = L(v2) + ∂L/∂(v2) * 2v⋅ε where v and ε are vectors.
Can someone explain how this result is obtained in more detail?
I recently read a few articles that contradict Einstein's Singularity theorem. The idea being that black holes are wormholes to other universes; with a white hole on the other side of the black hole (Poplawski's theory). What if instead of being a portal to another universe, the Event Horizon of...
Much has been said about the universe expanding from a point of singularity (POS). But why can't the POS be a shell of singularity (SOS) such that the expansion would take place inside the SOS without breaking it. Did anybody thought about that?
I had some interesting ideas concerning the mechanics behind the space expansion and its acceleration. Here they are. I know you expect blunders, but I hope you will find something interesting. Starting with obvious:1. In the presence of strong gravitational field, time flows slower than in its...
Homework Statement
Hello, I found this problem in the book I borrowed from the library, but this book does not have solutions in the back...I tried to lent the solution book but the library does not have it...so could someone help me out? The question is:
It is possible to decompose the...
We all know the concept of the universe expanding. Would it be possible that the universe is not expanding at all, but the spacetime between objects is increasing? My question comes from the idea that spacetime is changed due to the presence of gravitational objects and the idea that gravity is...
A quiz at the end of Steven Krantz's Calculus Demystified includes the following problem:
Find
\lim_{x \to \infty} [ \sqrt[3]{x+1}
-
\sqrt[3]{x} ]
I see how one can use the Maclaurin series to get
\sqrt[3]{x+1} = 1 + \frac {x}{3} - \frac {x^2}{9} + \frac {5 x^3}{81} + . . .
but trying it...
Greetings everyone! I used to be a huge big bang theory fan, but these days it strikes me as the most eloquent example of scientific conformism. I can fully understand that the only real alternative to it can be nothing else but a Big Nescio Theory, though ignorance can be very creative when one...
Rephrase from another thread I posted a while back;
If you believe as masses increase in distance gravitational potential increases relative to the distance (the greater the distance the greater the gravitational potential).
So as matter increases in distance from each other due to...
Could the universe be expanding wave fronts and the fundamental particles of matter be the particle manifestation of the waves? The wave front surface being the 3 dimensions of space and the radius of the front being the time dimension - similar to a wave front of light but one extra dimension...
I've seen the example when people say the universe is expanding like the surface of a balloon. You have dots on that balloon which are galaxies and as you blow up that balloon they grow further away from each other. If the universe is expanding equally isn't there a centre which is constantly...
So the universe is expanding, rather space is expanding. By expanding we mean space is coming into existence at all points.
Is that an equal rate of expansion everywhere?
Now the expansion does not over come the force holding matter together, planetary systems, galaxies even galactic...
A solid is generated when the region in the first quadrant enclosed by the graph of , y=(x^2+1)^2
The line x=1 , the x-axis, and the y-axis is revolved about the x-axis. Find the volumn
$$
V=\int_{a}^{b}\pi\left[f(x)\right]^2 dx
=\int_{0}^{1}\pi\left[\left(x^2+1\right)^2\right]^2 \,dx...
I've always been curious about about the big bang because (from what I've read) it's a point we're not able predict before. Is there a possibility that our view of an expanding universe just means we can't see beyond the big bang? Or is there a reason that is ruled out and that everything...
I was researching the inflationary model of the universe and came across the idea that the universe may be both infinite and expanding; and that there isn't a contradiction. As time goes by, the amount of matter in any given area will become less dense due to the metric expansion of space...
We know that distant galaxies (which are expanding) are sometimes expanding at rates that do not conform with our known theories and formulas developed by our own observations of gravity. Einstein's theory is of course at the forefront of this conundrum.
To explain it some believe that we...
The energy 'U' of a uniform spherical volume (e.g., a Hubble sphere) is (3/5)(M^2)G/R
Conventional wisdom has it that G and M are constant - at least in the preferred models that we are permitted to discuss on these forums. So when the Hubble sphere expands, we really don't expect a loss of...
Universe is expanding. I know that all the galaxies are getting away from each other due to the expansion. So in theory is it true that we along with every other system of particles are getting stretched with the space ( or the distance between our constituent particle is getting bigger and...
I would like to ask something.
How is the solution of EOM for the action (for FRW metric):
S= \int d^{4}x \sqrt{-g} [ (\partial _{\mu} \phi)^{2} - V(\phi) ]
give solution of:
\ddot{\phi} + 3H \dot{\phi} + V'(\phi) =0
I don't in fact understand how the 2nd term appears... it...
Hello all,
thank you for taking the time to read this post, i appologise if it is in the wrong section, as i am new to this.
Why did people just invent Dark Energy to explain the accelerating expansion of the universe? I propose another idea that doesn't rely on fudging numbers to explain...
I know this question had often been asked on PF but I don't get them. What do mean when we say that space is expanding? I mean that space is no physical entity that can expand. Space is just (apparently) "nothingness". Please solve my confusion.