Mordred

+1 I'll hunt down some good study aids. There is a series of YouTube lectures on GR with math. I'll look for it.

What is an image? Any image is merely a representative tool to aid in understanding. Any image can be described by mathematics. Those mathematical details is where the discoveries are often found. Take for example the rubber sheet 2d coordinate image used for gravity. How many misconceptions does it cause?

I found the best sources for how the Higgs behaves in geometric terms is via looking at the SO(10) Model. Good articles include the SO(10) GUT models. Keep in mind though the Higgs sector is full of speculation. This speculation is specifically related to how many Higgs bosons are there? We have found and confirmed the 126 Gev Higgs. There is supersymmetry predictions of others of different masses. The Higgs also has a metastability at high temperature that affects its field strength in a Mexican hat potential. This is the seesaw mechanism. This is exciting as this seesaw mechanism may explain inflation, dark energy and dark matter. Without adding exotic particles such as the inflaton. Earlier in the thread I already posted the related articles. Unfortunately they are tricky to read as they include lie algebra. I'm still hunting for good instructional articles on lie algebra to add to my site. Just a side note all particle interactions are described involving a form of geometry. If you can afford a textbook. One of my favourites for taking the complexity out of the geometry is "Roads to Reality" by Sir Roger Penrose. He covers a wide range of models in Cosmology string theory and particle physics fields such as QCD QED QFD. and quantum geometrodynamics (gravity specific) Not too many ppl are familiar with quantum flavor dynamics. QFD. The four fields cover the four forces. Collectively they are all part of QFT. I point out the above to make you aware just how large the field is on describing particle interactions. No one can claim to understand every aspect of particle physics.

Many thanks mate

This is where I stress the importance of muliple theads. TOO MANY QUESTIONS too answer accurately.

By the way I gave you rep +1 when you mentioned my mistakes due to too long a day. ( just finished crunching a 120 hour work two week pay period into one week, 40 km from North pole) Interesting question. Let me think on that Ps gotta give my wife some attention.

In all honesty I always hated the terms bending twisting creation of space time. These terms always misconstrued a non existent fabric. When the model is specifically discussing relativity influences upon 4d geometric relations upon particles that reside in the geometric volume of space. Gravity influences mass. I fully agree with this it is incredibly irritating to spend considerable time and energy on those with no desire to learn

Ok I had more sleep plus it's not 2 am. First off you need to look at the strengths and range of each force. Then you need to learn that not all particles are influenced by the 4 forces. Gravity strong weak and electromagnetic. Strong range 10^-15 metres. Strength 1. Force carrying boson gluon Electromagnetic range infinite str 1\137 roughly force carrying boson photon K Weak range 10^-18 meters, str 10^-6, Force carrying boson w-,w+,z_0 Gravity infinite, str 6*10^-36 force carrying boson hypothetical graviton. Now let's look at a neutrino. Neutrinos are weakly interactive. It's only interactions is the weak force and gravity it does not interact with the strong force or the electromagnetic. So how does it have mass? It gains mass from the Higgs field. now dark matter Is also weakly interactive. The main difference between it and the neutrino is we haven't confirmed a weak force interaction. (Latest theories is that it may be a right hand neutrino =type of antineutrino). Key note based on SO(10) particle physics model mass from the Higgs field is primarily restricted to quarks and neutrinos. mass of other particles is due to the strong force. Although gravity has infinite range its strength quickly falls of the further you go from the source. There is plenty of regions between large scale structures that have little to no matter. These areas also have very little gravity. This is where the cosmological constant has the most influence. Think of matter and radiation as positive vacuum. Think of dark energy as negative vacuum. As there is more regions with extremely weak gravity the cosmological constant can cause expansion. In regions of strong gravity the cosmological constant has no known influence. (The energy density per volume of the cosmological constant is 6*10^-10 joules per cubic meter.). This is easily overpowered by localized gravity. The FLRW metric that describes how our universe evolves uses the ideal gas laws. I mentioned energy density and its relation to pressure. The equations of state show this relation. See here for details http://en.m.wikipedia.org/wiki/Equation_of_state_(cosmology) I already explained that gravity can only influence particles. As well as explaining that space time is a descriptive of coordinates. Relativity is a coordinate dependant model As you look like someone truly interested in learning I'd like to recommend these articles ( the first two is written by me and checked over by several undergrads to professors in Cosmology). The rest are officially peer reviewed with the exception of the balloon analogy page but it's also been looked over by some of the same people that reviewed my two articles. The site does not show anything beyond textbook models Site Articles (Articles written by PF and Site members) http://cosmology101.wikidot.com/redshift-and-expansion http://cosmology101.wikidot.com/universe-geometry Misconceptions (Useful articles to answer various Cosmology Misconceptions) http://www.phinds.com/balloonanalogy/: A thorough write up on the balloon analogy used to describe expansion http://tangentspace.info/docs/horizon.pdf:Inflation and the Cosmological Horizon by Brian Powell http://arxiv.org/abs/1304.4446:"What we have leaned from Observational Cosmology." -A handy write up on observational cosmology in accordance with the LambdaCDM model. http://arxiv.org/abs/astro-ph/0310808:"Expanding Confusion: common misconceptions of cosmological horizons and the superluminal expansion of the Universe" Lineweaver and Davies http://www.mso.anu.edu.au/~charley/papers/LineweaverDavisSciAm.pdf:"Misconceptions about the Big bang" also Lineweaver and Davies http://arxiv.org/abs/1002.3966"why the prejudice against a constant" http://arxiv.org/abs/gr-qc/0508052"In an expanding universe, what doesn't expand? Richard H. Price, Joseph D. Romano http://arxiv.org/abs/1301.0219What'sin a Name: History and Meanings of the Term "Big Bang" Helge Kragh Ps yes there Is there is brief info on each subject. That's due to the number of questions and misconceptions on your last post. I highly recommend breaking down your individual questions to multiple threads. I guarantee you will learn more,as well as generate a larger body of posters to assist. Besides it's far more fun lol. I myself love learning By the way the shared reviewer of my articles and Phinds balloon analogy is a professor of philosophies of Cosmology Brian Powell. Lol he and I have years of history in debates. His current specialty is in inflation One of his articles Is included on the list I have a copy of his dissertation in my files, little over 1200 pages. Helped with proof reading

Yes I can read your code and under stand what your doing. Your not the only programmer. Your code is simply polarizing photons. It is not demonstrating entangelement nor spooky action at a distance. As everyone has been telling you.

Today we understand how neutrinos can pass through lead without interactions. The SO(10) model with the Higgs field holds some promise on solving both dark matter and energy. Mathematically it's plausible. Just need more data Here is a small collection of related material. DARK MATTER AS STERILE NEUTRINOS http://arxiv.org/abs/1402.4119 http://arxiv.org/abs/1402.2301 http://arxiv.org/abs/1306.4954 Higg's inflation possible dark energy http://arxiv.org/abs/1402.3738 http://arxiv.org/abs/0710.3755 http://arxiv.org/abs/1006.2801 First two articles deal with possible detection of dark matter via xray interactions

You know it's amazing no one agrees with your conclusion on your program. They have tried every means possible to show you different. For good reason. Your understanding is wrong. Yet you still refuse to acknowledge this. Several of the posters telling you your wrong are accredited physicists with degrees. Yet you still don't listen. Not much more we can do for you

The bending warping twisting descriptives is descriptives of influence upon particles by gravity. Gravity can only influence particles. Energy does not exist on its own. Energy is a property of particles. Space is just volume filled with the particles of the universe. Between those particles there is empty volume gravity cannot influence a volume of nothing to influence. It influences the particles themself. It is a coordinate dependant model. In GR space time is a set of coordinates. It is the coordinates that gets warped and twisted etc. Let's leave dark energy and dark matter for another thread. I can help you understand those. However would take too much in this thread. Which is on relativity. Look at my signature for my webpage there is some good articles there

Yeah over tired lol Due to gravity this question is trickier to answer. Mathematically the Lorentz transformation is a rotational matrix. So in essence a higher gravity potential implies more space time in a given region. One could use the analogy compressed spacetime however you have to include the rotational influence of the lorentz group rotational coordinates See page 12. http://www.google.ca/url?sa=t&source=web&cd=2&cad=rja&uact=8&ved=0CCAQFjAB&url=http%3A%2F%2Farxiv.org%2Fpdf%2Fgr-qc%2F9712019&ei=oJGrVOXeAYu6yQSD1ICgAw&usg=AFQjCNEir7fILQNyr5SGe-kxXg0mVlV5Vw&sig2=0SIbKSnNB35G_05CkQjMsA Due to the Lorentz rotation its probably more accurate to say light has a longer path to follow Keep in mind relativity isn't my strongest subject.

We corrected my incorrect statement on increase in wavelength being an increase of energy should have been decrease in wavelength. Ie compressed wavelength

You right I do have that backward should have been decrease in wavelength as it heads into a gravity well for an increase in frequency. Doh 2 am here lol

Towards It loses energy climbing out of the gravity well

Ah Kk increase in wavelength is an increase in frequency. No prob

Thanks I missed that It's not my errors higher gravity causes a higher density. Matter is no different than a gas.. it's simply a higher density. You can have gravity increases with an increase of energy density as well. Not all particles are considered matter.

Google Schwartzchild metric for an example. The mass itself doesn't increase but the force of gravity does due to the same mass in a smaller volume. Any object has a Shwartzchild metric. If that mass is compressed beyond it you have a black hole.

In order to observe something you have to see it hence photons. Which is invariant to all inertial observers. This is a key point to understand relativity. The photons wavelength increases when it travels to a higher gravity well. Google gravitational redshift. If aproach an object at relativistic speeds the wavelength also increases. Aka becomes compressed. Now these two observer aspects are the same for the high gravity well observer and the momentum observer. In both cases the wavelength of light is increased. Aka compressed. An increase in wavelength means more energy. Length contraction does the same thing it compresses the length component. Time can be construed as compressed soacetime mathematically. Keep in mind space time is not a substance or material . It is geometric description of volume with the extra vectoral component of time. The above is essential to understand the more advanced Einstein field equations where you get into the stress energy tensor etc. The textbook I posted will teach you the basics only. Redshift is a key aspect of relativity. To understand gravity itself and space time warpage having a good understanding of differential geometry as well as the ideal gas laws is needed. The Einstein field equations incorporate the gas laws. Study the text ask questions on it. Keep model inventing till after you can apply the mathematics. (PS I can post free textbook with all the needed equations. ). It's math is extremely intense.

Yes any model developed must follow the laws of conservation of energy and momentum. This is why it's best to learn before trying to invent models. When you compress something it's density increases. Including energy and mass.

Oh one key question. What is mass? In scientific definition

Your idea of compression isn't that crazy if that helps. Let's try this Before we start though let me explain something many don't think of. I'll use an unrelated analogy Person a, "I have this really cool idea for a new game, will you program it for me? Person b writes the program. Now who has ownership of that game? Person a or person b who did all the actual work programming the game? You have to realize how many posters come into the speculations forum trying to convince others to do their math for their model. Or to fill in the blanks and make their model work. Now that we covered that as xyzt posted learn the basics, then increase your understanding till you can be the programmer and perform your own math. Now to provide some helpful direction. Let's look at compression. When you compress something what increases? What key factors are involved in the observer that he has to account for? Hint say he is looking at a distant object while he is in a high gravity well or he is moving at relativistic speed towards. What factor in GR is invariant (same for all observers.) Now what observer influence is the same for the momentum case or the high gravity case? These questions are answerable using the textbooks I posted Hint forget gluons field its unrelated. Relativity does not require it

Even more ironic since both those misconceptions are covered in the article I posted. Ah well

Well we can definitely help you learn, provided your willing to learn. This is a basic math level textbook free, there is also a paid version for hardcopy http://www.lightandmatter.com/sr/ it was written by someone I know visits forums so it is also designed to answer numerous misconceptions.