Mordred

Just for clarity Hubble's law isn't the only reason we know space is expanding, We can also infer that the volume of space has increased due to the thermodynamic history of the universe. In and expanding universe, temperatures and energy-densities lower we know from measurements this is also true.

good answer, couldn't have said it better myself The answer of why the body remains stationary when in free fall is rather complex in terms of GR, here is a quote from Lecture notes in General relativity by Mathius Blau. The article itself would do a far better job of it than I possibly ever could. I'm lousy at explaining GR related questions, so I would make too many mistakes at it. page 76 (the article itself is an excellent resource, I refer to it all the time) http://www.blau.itp.unibe.ch/newlecturesGR.pdf "Lecture Notes on General Relativity" Matthias Blau "How does this viewpoint of general relativity that there is no such thing as gravitational force square with the well known "fact" that there is a gravitational force field at the surface of the Earth of 980 cm s-Z? Recall that in the standard Newtonian viewpoint this gravitational force on an object placed on the Earth's surface is balanced by the force the surface exerts, leaving the body in equilibrium,i.e., "at rest." In the viewpoint of general relativity, the only force acting on the body is the force of the surface of the Earth. On account of this force, the body accelerates(i.e., deviates from geodesic motion) at the rate of 980 cm s-2. Nevertheless, it remains in a stationary state, because in the curved spacetime geometry in the vicinity of the Earth, the orbits of time translation symmetry differ from the geodesics of the metric." However as mentioned in the previous post there is no answer "to what is it really"

the table exerts an equal force upon the cup as the downward force so the net force is zero.

Alright you have the Lorentz force equation here, now you want to calculate B the equation for B is on page 10 magnetic dipole, However there is different equations for B depending on the various factors in this article. So your going to have to define your problem with a lot more clarity http://www.ece.msstate.edu/~donohoe/ece3313notes8.pdf I still have no idea what the relation is to planets considering the motion of planets has nothing to do with electromagnetism.

evidently my guess is off lol

Judging from what I've read so far and I could be off on this he is looking for the dipole to dipole interactions of 2 charged particles. Might help if the OP can clarify which interaction specifically he is trying to define. probably not the best article but it has some of the basics http://chemwiki.ucdavis.edu/Physical_Chemistry/Quantum_Mechanics/Atomic_Theory/Intermolecular_Forces/Dipole-Dipole_Interactions problem is I'm not sure if he is looking for it in the more classical mathematics vs the QED metrics. His reference to Coulombs law makes me think he is looking for the former

that I agree with. As long as we all agree the only aspects space itself has is volume and distance, the space-time itself as long as were clear it also does not refer to a fabric or substance then its usage to describe relations is agreeable. A term that may be handy to describe space including all its contents such as the various particles etc, is Intergalactic medium, or outside of large scale structure formation extra galactic medium. IGM for short. Its a nice science term to describe the totality of all the plasma etc that reside in space. the article below is a sample of its usage, highly technical though one of my favorites The Physics of the Intergalactic Medium http://arxiv.org/abs/0711.3358

Inflation is a good area of research, One of the professors I know from another forum (though not personally) is also researching inflation here is his papers http://arxiv.org/find/all/1/all:+AND+Brian+Powell/0/1/0/all/0/1 he has given me permission to place one of his articles on my website see signature http://tangentspace.info/docs/horizon.pdf :Inflation and the Cosmological Horizon by Brian Powell (written for laymen hehe, he got tired of the same questions on the other forum lol) you should also have a copy of this if you haven't already, they regularly test various inflation models its 365 pages long so use it as a reference Encyclopaedia Inflationaris http://arxiv.org/abs/1303.3787 "ASPIC already has 74 different inflationary scenarios, a number that should be compared to the three or four models that are usually consi dered. The ASPIC library is an open source evolutive project and, although it already contains all the most popular inflationary scenarios, aims at including more models"

How the universe expands or contracts depends on how the contents of the universe influence each other in terms of pressure. matter, radiation, exerts positive pressure, the cosmological constant exerts negative pressure. The relations is determined by their energy-density to pressure equation of state. The Universe is treated as a perfect fluid or ideal gas in terms of most metrics such as the FLRW metric. As such it follows all the ideal gas laws. http://en.wikipedia.org/wiki/Equation_of_state_%28cosmology%29 this is also used to determine the universes geometry. You can find more detail in this article. http://cosmology101.wikidot.com/universe-geometry page 2 covering distance measurements due to geometry http://cosmology101.wikidot.com/geometry-flrw-metric/ now our universe is extremely close to flat, but the question of if our universe is open or closed (infinite or finite is still an open question.) If the universe has a total positive pressure then the universe would contract, however the cosmological constant is the dominant influence of the universe today so the universe is expanding. your cosmology class will cover this soon enough, though I'm not sure how far your class has covered as of yet. Please also keep in mind that space is simply geometric volume that is filled with the contents of the universe.

The reasons you mentioned is precisely why I like the article, lets just say I'm a very well studied long term amateur. In that I've been studying physics for over 20 years. As well as buying and studying a huge collection of the textbooks, however I've never taken institutional training. Luckily though I do have a few professors in the field that I personally know that help me along. (as well as correct my mistakes lol) they have even had me do some of their exams. My actual stock and trade is an Industrial electronics controls tech. In other words design, program and repair robotics and automated systems. (requires a high degree of mathematics, makes understanding physics easier).. If you ever watched "How its made" I design and repair the equipment that makes those items needless to say cosmology has come a long ways in the past 20 years, I recall arguments on whether the universe was flat,curved etc before LCDM became strong and the WMAP data.(it was funny as people were trying to invent their own shapes and show the metrics for it) The MOND vs quintessence,vs BB,string debates were also amusing. That was when Space.com used to have a forum Another related paper Fred Jegerlehner wrote http://arxiv.org/abs/1406.3658 "About the role of the Higgs boson in the evolution of the early universe" related by different author Multifield Dynamics of Higgs Inflation http://arxiv.org/abs/1210.8190

You keep wanting to apply some magical attribute to space, space has no energy it has no matter, it has no property other than volume. I'm sorry if you want to believe otherwise but space itself is just volume. That volume is simply filled with everything else if it has no traits of its own then it cannot interact with anything, it is the particles that reside in the volume of space that interacts whether virtual or real

"quantum foam can be used as a qualitative description of subatomic space-time turbulence at extremely small distances," http://en.wikipedia.org/wiki/Quantum_foam again this is a visualization tool to describe the wave function turbulence at extremely small scales via virtual particle production. In essence its no different than the volume of space being filled with particles. Try to keep in mind there is plenty of empty space between particles at any level. We can only measure how particles and fields interact with each other. Space itself is volume, that volume simply is filled with energy and matter. Hence for example in Cosmology when the volume of space increases, the energy-density of matter and radiation also decreases as well as the temperature. This shows that the volume is filled as more volume becomes available

I thoroughly enjoyed that series as well

read this from above, The fabric, sheet,warping terms are all just visualization aids used by GR to help others understand what is occurring much like the balloon analogy used in Cosmology. The sheet in that image is merely a 2D visualization aid, in a sense a 2D coordinate map. Doesn't mean the map itself is part of the universe. The map is only a representation of relations the Calibi-Yau space is also a mathematical representation of interactions for example (string theory) doesn't mean that space at the string level has a substance itself or that the term manifold has a substance. These are all geometry relation terms http://en.wikipedia.org/wiki/Calabi%E2%80%93Yau_manifold

Thanks Beefpatty, just making sure I couldn't think of any reason why the B-E wouldn't be appropriate. Much like the papers you have posted the only examples I've usually read deals with the Higg's in terms of its TeV metastabiltiy above 1011 GeV. I have easily been able to find papers dealing with the Higg's at high temperature ranges. SO(10) papers have numerous examples and relies on the Higg's for the seesaw 1 and seesaw II mechanism. However I've yet to find any papers covering the Higg's below the standard model 246 VEV. So I'm not looking at the Higg's mechanism itself but rather the Higg's bosons contributions (if any) to the thermodynamics after spontaneous symmetry breaking. Which is where I'm hoping the B-E can be used to give an approximation of the energy density and pressure contributions below the VeV. (I've never read or seen any papers covering Higg's below the 246 VeV, so I'm not sure if there is any further contributions below that range in terms of thermodynamics, the fact I never see any papers dealing with the Higg's interactions temperatures of the universe from the CMB to today) makes me wonder if there is or isn't an influence in current times cosmology. I'll have to see if I can locate a copy of the paper by Krauss, thanks for these. This is specifically what I am looking for (currently studying the 39 page article) lol at least I'm not the only one that had that idea just glancing over the 39 page paper it looks like it has the information I was curious about including the related formulas much thanks for that "What is at our disposal is essentially only the value of the Higgs field at the Planck scale, since in the experimentally accessible low energy region the Higgs field is not an observable and we only know its vacuum expectation value." this statement explains, why finding papers covering current influence is so tricky. awesome paper lol (my apologies if I'm acting like a kid with a new toy hehe)

The intention of this post is not a speculation, its an ideal I wish to test out. So I don't want replies based on speculation or personal theories. Now here is the Cosmic inventory http://arxiv.org/pdf/astro-ph/0406095v2.pdf "The Cosmic energy inventory" The one value missing from this inventory is the energy contribution of the Higg's field itself. So I wish to use the Bose-Einstein statistics, based on the only confirmed Higg's Boson we have confirmed (reasonably). As the Higg's particle is a boson this statistic should work, for fermions we use the fermi-dirac statistics. The purpose of this research is to see if I can further constrain the cosmological constant itself. (possibly) The two time periods I will examine is via the temperature of the CMB and the temperature of the universe today However I have a couple of questions. 1) first does anyone know of a reason why the Bose-Einstein statistics cannot be used in this case, if not what statistic is more appropriate ? 2) The cosmological constant is a positive energy, with a negative pressure contribution determined by its equation of state. Has anyone come across or seen an equation of state relating to the 126 GeV Higg's. (or knows if it is a positive or negative pressure contributor) (I would assume the Higg's field EoS may be the same as the relativistic radiation, however thats an assumption)(may be more appropriate to use the scalar field EoS, though via the standard model the vacuum expectation value is 246 Gev considerably less than the CMB) any professional peer review papers are welcome in terms of the thermodynamic properties of the Higg's itself are welcome.

a large part of that uncertainty is due to not knowing how soon Early structure formation occurs due to inhomogeneities in the uniformity of the universe after or during inflation. There is no strong agreement on this aspect. However as you stated it does not conflict with the BB

Ok I can offhand think of a few situations that can be used to support this, so I agree with you on that aspect. Might help if you provide a few examples

roflmao

The universe from nothing model, is one of many possible beginning models. Though not the only one other models include a bounce from a previous collapsed universe. Universes from black holes etc. The universe from nothing model is one of the few that doesn't involve a previous universe. The idea has merit, but then so do the others.

I am asking you to show me how you got to your equation obviously you don't want to do that. Yes I know the above is basic level and yes I specified the above doesn't have the dimension of force I specified that in the post above thank you that was all you had to explain lol though now I feel 100% stupid for now realizing this

how is re-posting the same equation count in showing how you derived it? Newtons gravitational law Newton's law of universal gravitation states that any two bodies in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. so I have force between particle A and Earth [latex]f=\frac {GMm}{r^2}[/latex] the mass of the Earth is already combined with the mass of the test particle to determine the force between them same formula for particle B same relation now if I drop these two at the same time from the same location the two masses are essentially combined in its influence on Earth which is the same as saying [latex]f=\frac{G(m1+m2)}{r^2}[/latex] so why is the M term on the left hand side needed? in terms of acceleration? please show me how you went from this to your equation

I'm asking for clarity about how you derived the above equation I can't figure out where you got the extra M term

can you clarify statement one.? As far as I know EP always applies for falling bodies. (this is rigorously tested and is in every textbook and related article I have ever read in over 20 years (non controversial that is) mi =mg I don't need to prove this as it is well known and established. now statement 2 I agree with, take 2 objects at rest. object A exerts a force upon object b , however that force is also applied to object a (forces are applied in equal and opposite directions) however f=ma so the the math will show that mass A's rate of acceleration will be different than mass B now statement 3 and 4 is where I have a problem, [math]m_1+m_2[/math] is combined to determine [latex]\mu=G(m1+m2)[/latex] where [latex]\mu [/latex] is the standard gravitational parameter [latex]\mu =GM[/latex] [latex]\mu=G m_1+G m_2 =\mu_1+\mu_2 [/latex] now here is my problem the right hand of your equations uses the law of universal gravitation [latex] f_1=f_2=G\frac{m1m2}{r^2}[/latex] http://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation so therefore your equation should work for gravitational bodies.. [latex]M\frac{d^2X}{dt^2}=+(\frac{GMm_1}{(X-x_1)^2}+\frac{GMm_2}{(X-x_2)^2})[/latex] [latex]\frac{d^2 x}{dt^2} =\frac{dv}{dt} =\frac{dx}{dt}\frac{dv}{dx} =v\frac{dv}{dx} =\frac{GM}{x^2}[/latex] if [latex]\frac{d^2 x}{dt^2} =\frac{GM}{x^2}[/latex] why do you have [latex]M\frac{d^2 x}{dt^2}[/latex] ? in the above equation?

I have a bit of an unusual story about dreams in terms of nightmares. The last nightmare I ever recall having, when I was roughly 6 or 7. In that nightmare I recall running away from a brown bear then having my head bitten off, when I woke up. The nightmare in and of itself wasn't particularly unusual. The unusual part is that I am now close to 50 years old and its the only nightmare I can recall even to this day. I've often wondered why that is the case, I can recall numerous other dreams etc but I can honestly say I do not recall any nightmares since that last time. Its quite possible I may have had some and never known, after all I've heard the claims that we have roughly 200 dreams a night. However as stated I do not recall any