The following warnings occurred:
Warning [2] Undefined array key "lockoutexpiry" - Line: 94 - File: global.php PHP 8.0.22 (Linux)
File Line Function
/global.php 94 errorHandler->error
/showthread.php 28 require_once
Warning [2] Undefined array key "lockoutexpiry" - Line: 550 - File: global.php PHP 8.0.22 (Linux)
File Line Function
/global.php 550 errorHandler->error
/showthread.php 28 require_once
Warning [2] Undefined array key "avatartype" - Line: 811 - File: global.php PHP 8.0.22 (Linux)
File Line Function
/global.php 811 errorHandler->error
/showthread.php 28 require_once
Warning [2] Undefined array key "avatartype" - Line: 811 - File: global.php PHP 8.0.22 (Linux)
File Line Function
/global.php 811 errorHandler->error
/showthread.php 28 require_once
Warning [2] Undefined variable $awaitingusers - Line: 39 - File: global.php(872) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/global.php(872) : eval()'d code 39 errorHandler->error
/global.php 872 eval
/showthread.php 28 require_once
Warning [2] Undefined array key "style" - Line: 937 - File: global.php PHP 8.0.22 (Linux)
File Line Function
/global.php 937 errorHandler->error
/showthread.php 28 require_once
Warning [2] Undefined property: MyLanguage::$lang_select_default - Line: 5196 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 5196 errorHandler->error
/global.php 937 build_theme_select
/showthread.php 28 require_once
Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 7360 errorHandler->error
/inc/functions.php 5216 is_member
/global.php 937 build_theme_select
/showthread.php 28 require_once
Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 7360 errorHandler->error
/inc/functions.php 5216 is_member
/global.php 937 build_theme_select
/showthread.php 28 require_once
Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 7360 errorHandler->error
/inc/functions.php 5216 is_member
/global.php 937 build_theme_select
/showthread.php 28 require_once
Warning [2] Undefined array key "mybb" - Line: 1997 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 1997 errorHandler->error
/inc/functions_indicators.php 41 my_set_array_cookie
/showthread.php 665 mark_thread_read
Warning [2] Undefined property: MyLanguage::$ratings_update_error - Line: 5 - File: showthread.php(768) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(768) : eval()'d code 5 errorHandler->error
/showthread.php 768 eval
Warning [2] Undefined variable $postsdone - Line: 901 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 901 errorHandler->error
Warning [2] Undefined array key 15 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 22 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 25 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 28 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 36 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 58 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 61 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 64 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 86 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 88 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 92 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 94 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 99 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 367 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 369 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 372 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 382 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 384 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 388 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 389 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 393 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 397 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 400 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 405 - Line: 907 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 22 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 25 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 28 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 36 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 58 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 64 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 86 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 94 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 99 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 369 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 382 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 384 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 389 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 397 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 405 - Line: 1630 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions.php 7360 errorHandler->error
/inc/functions_user.php 813 is_member
/inc/functions_post.php 416 purgespammer_show
/showthread.php 920 build_postbit
Warning [2] Undefined array key "profilefield" - Line: 6 - File: inc/functions_post.php(484) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/inc/functions_post.php(484) : eval()'d code 6 errorHandler->error
/inc/functions_post.php 484 eval
/showthread.php 920 build_postbit
Warning [2] Undefined array key "canonlyreplyownthreads" - Line: 672 - File: inc/functions_post.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions_post.php 672 errorHandler->error
/showthread.php 920 build_postbit
Warning [2] Undefined array key "showimages" - Line: 757 - File: inc/functions_post.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions_post.php 757 errorHandler->error
/showthread.php 920 build_postbit
Warning [2] Undefined array key "showvideos" - Line: 762 - File: inc/functions_post.php PHP 8.0.22 (Linux)
File Line Function
/inc/functions_post.php 762 errorHandler->error
/showthread.php 920 build_postbit
Warning [2] Undefined array key "invisible" - Line: 1555 - File: showthread.php PHP 8.0.22 (Linux)
File Line Function
/showthread.php 1555 errorHandler->error
Warning [2] Undefined variable $threadnotesbox - Line: 33 - File: showthread.php(1587) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(1587) : eval()'d code 33 errorHandler->error
/showthread.php 1587 eval
Warning [2] Undefined variable $multipage - Line: 36 - File: showthread.php(1587) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(1587) : eval()'d code 36 errorHandler->error
/showthread.php 1587 eval
Warning [2] Undefined variable $multipage - Line: 68 - File: showthread.php(1587) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(1587) : eval()'d code 68 errorHandler->error
/showthread.php 1587 eval
Warning [2] Undefined variable $addremovesubscription - Line: 82 - File: showthread.php(1587) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(1587) : eval()'d code 82 errorHandler->error
/showthread.php 1587 eval
Warning [2] Undefined variable $thread_deleted - Line: 107 - File: showthread.php(1587) : eval()'d code PHP 8.0.22 (Linux)
File Line Function
/showthread.php(1587) : eval()'d code 107 errorHandler->error
/showthread.php 1587 eval



Login Register

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Lorentz Ether Interpretation of the Einstein Equations of GR
#11
Thanks Schmelzer. I'm ok with the GR math but have forgotten much of the terminology. Most of the confusion you point out is due to that. As I learn more I'll make another attempt at it. I'm aiming to produce a high-level intro (not much math) for people unfamiliar with ether theory.

Schmelzer: The interesting point of Volovik's \(^3He\) research is that it gives some qualitative insights. It is very good and useful research, but I have not used it. So there is nothing in the evolution of the cosmos "modelled on \(^3He\)".

- Sorry, my mistake. But the properties of ether, in your view, are similar to superfluids, aren't they?

Schmelzer: In the ether interpretation, the ether has a stress tensor or pressure tensor, instead of simply some scalar pressure.  This is what one has to use in condensed matter theory to define solids.

- Yes. Tensors first were used to describe stress / strain in solids. BTW we also use words like pressure, tension (the word tensor comes from this), shear, etc for these qualities. The words are not important, the tensor math gives the exact physical results. Anyway, three orthogonal planes are defined at a point. Each has 3 numbers, one for pressure through the plane (normal stress), and two within the plane (shear). The interesting physical fact - the reason this works - is that these 9 numbers are sufficient to give the stress in any direction: it behaves linearly (at least, this first linear approximation is good enough for most work). This is the same stress tensor you mean, right? In my post I referred simply to "stresses and strains". If this causes the misunderstanding that I mean only a scalar, I'd better throw in the word "tensor".

Schmelzer: About dark matter: There appear some fields in the ether which may play the role of dark matter.  For every electroweak pair of fermions there has to be a massive scalar field with much greater mass and similar color.  Those corresponding to leptons would not have any interaction at all, thus, would be good candidates.  But the ether as a whole differs from dark matter - it is everywhere.  There can be places without dark matter, but not without the ether. 

- Yes, I see. Ether as such can't do what DM does, since it's evenly distributed. The reason I mentioned it: DM is the only example of non-baryonic matter most people have heard of, and it seems to me ether must be non-baryonic. Maybe that's wrong? I didn't know there was a lepton field with "no interaction at all" (except gravity I presume); that sounds like a possibility for DM. Don't forget, what actually needs explaining is the observed galactodynamics. DM is the mainstream candidate but also modified gravity is possible. Anyway, probably not a good idea to bring in DM at all, causes confusion.

Schmelzer: The metric is not a hidden variable.

Right, poor choice of words on my part. I meant the underlying coordinates of the 3-d frame, which would be known only to "God" or whoever. We arbitrarily assign our own coordinate system to it. The word "metric" should only be used only to refer to \(g_{\mu\nu}(x,t)\). Perhaps the point is unimportant anyway.

Schmelzer: What is hidden is what makes the coordinates I use preferred coordinates.  But they are valid coordinates and the can be used in standard cosmology. No GR theoretician has anything to object if I use these coordinates - except that he can ask the question "why these? why not others?"

- Aren't they just the standard co-moving observer coordinates?

Schmelzer: And the spatial part of the metric - as visible as all other parts of the metric \(g_{\mu\nu}(x,t)\) - is not a 3-vector, but a 3-metric, a symmetric tensor, with two indices \(g_{ij}(x)\) instead of one \(a^i(x)\) of a vector field. 

- More incorrect language! I should refer to the FLRW ansatz - or something - not "metric evolution". a(t), of course, is just the normal FLRW scaling factor.

Schmelzer: With a small enough parameter \(\Upsilon>0\)  the solution gets as close to the Big Bang solution as one wants.

- Right, but there are other constraints on \(\Upsilon\) aren't there? You have to get quite close (a few minutes) to BB to use their model to generate the light elements. Will such a small \(\Upsilon\) causes problems elsewhere?
Reply


Messages In This Thread
RE: Lorentz Ether Interpretation of the Einstein Equations of GR - by secur - 05-12-2016, 09:45 AM

Forum Jump:


Users browsing this thread: 3 Guest(s)