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Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
But why does the FLRW solution assume that "only the spatial part of the metric is nontrivial and carries an expansion factor, there is no time dilation in this cosmological spacetime." On what basis and evidence independent of this assumption do we have that this disposition is true. Why is it only the spatial metric and not the temporal metric that expands in the case of cosmological scale? The FLRW solution contains within it the Hubble constant. The constant describes adiabatic space expansion. We cant then use the FLRW solution to justify that space expansion exists, because it is a solution that requires it to exist! Newton's law of gravitation solution does not prove that gravity is force. It is a solution that requires a force he called gravity. "The Friedmann–Lemaître–Robertson–Walker metric (FLRW; /ˈfriːdmən ləˈmɛtrə ... /) is a metric based on the exact solution of the Einstein field equations of general relativity. The metric describes a homogeneous, isotropic, expanding (or otherwise, contracting) universe that is pathconnected, but not necessarily simply connected" from Wiki It is describing an expanding universe. In other words, as it's premises it preassumes that the universe is homogenous, isotropic and expanding. I'm not denying that any observations that subsequently fit the model certainly support the assumptions. And I'm in no way suggesting there is no space expansion at all. But what about observations that don't fit the model such as data from the JWST? The lambaCDM model also uses the Hubble constant presumably derived from the FLRW metric. Again, it premises that space expands. A derivation cannot prove a premise. A geocentric theory does not prove the sun circles around the earth, because it already assumes it does. We can also add arbitrary complex formulas to make the geocentrism fit new conflicting data such as retrograde precession, just as we can add new mechanisms such as dark energy to make an expanding universe fit redshift and other observations. CMBR polarisation suggests some space expansion occurred. And we can arbitrarily parametise a formula to fit exactly what we observe and fit how we understand things work. But making everything fit comes with the danger of confirmation bias, especially when the fit is arbitrary. If there are any other mechanisms that we don't understand or haven't yet identified, then making things fit will with certainty blind us to those mechanisms. Gravitation waves being stretched also fits an assumption of space expansion in the same way as redshifted EM spectra, but the same argument stands. Why can some unknown from of time dilation not also contribute to gravitation wave stretching  why must all stretching of gravitational waves be solely caused by space expansion, other than it nicely fits the FLRW metric which is already orientated to only the spatial metric expanding. Largescale structure patterns tell us of space expansion vs gravity vs time. Most theories support the idea of a "force" (dark energy) that counteracts gravity to give us the patterns we see today. Again we can arbitrarily parametise a formula to fit what we observe with how we understand things, which in this case is: something (dark energy) is working against gravity, and it does so at different rates depending on when (time). But why is all dark energy due to space expansion? Just because we have a solution that takes the position of "only the spatial part of the metric carries an expansion factor"? So if we are using largescale structure as evidence for only space expansion, that is a fallacy of circular logic: "Given a solution where only the space metric expands (FLRW), then... ...only space expands" Well of course! It's already given! I have no response regarding acoustic baryonic oscillations and BB nucleosynthesis right now as I have no understanding at all on those topics. But evidence for gravity as a force does not refute gravity as spacetime curvature. In the same way, observations that fit space expansion does not specifically refute other mechanisms. On the other hand there is quite a lot of refuting evidence against Lamda CDM especially since JWST. Again, we go back to Hubble's law and cosmological redshift, as the only empirical data source that is not derived from the FLRW premise that only the spatial metric expands, or derived from a parametisation of that metric Why is there a 1:1 causal link between redshift and space expansion and 1:0 (zero) causal link with redshift and time dilation, when we know it is a single spacetime manifold? What empirical evidence did Hubble and Lemaitre have in 1920 to believe only space expansion and not time dilation causes redshift. Why does the FLWR metric choose that only the spatial metric and not the temporal metric expands? 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
Why would we expect to see blueshifting? We theorised space expansion from the discovery of cosmological redshift. Not the other way around. If cosmological redshift had some other cause, it wouldn't change what we measure at all. It would change our theory. According the HubbleLemaitre law, yes it is correlated to distance. But why does the HubbleLemaitre law attribute 100% of observable cosmological redshift to space expansion, and 0% attributed to cosmological time dilation? Where is the evidence that cosmological time dilation does not exist? Before cosmological redshift, there was no such thing as either space expansion or cosmological time dilation. After we discovered cosmological redshift, space expansion was accepted/invented/theorised, but why not "cosmological time dilation"? As far as I have read, redshift IS the only source data point. Space expansion was theorised from discovering the redshift. All other data points derive from the theory. We can't use a derivation to prove a premise. Hubbles law: v = H0D Why can't it be v = H0DPDT Where T is the proper time difference and PD is a constant of proportionality of T which can change over relative proper distance. In the Hubble=Lemaitre law, T simply has the value of zero. So yes the further away something is, the faster it is receding, necessarily reaching superluminal velocities above certain distances. If T has a non zero then it could be that the further away something is, the faster or slower time is ticking where they are relative to the observer, instead of receding faster, potentially never breaking the limit of c, but not necessarily so. 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
My point is not about refuting kinematic interpretation of redshift. A phenomenon of space expanding would certainly cause the cosmological redshift observations that we measure. This does not mean cosmological redshift observations are entirely and completely explained by space expansion. If we measure a redshift of 3, why must the entirety of that redshift be caused by space expansion and nothing else? What evidence do we have that nothing else causes cosmological redshift? 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
I'm not entirely certain what I mean by volume. I have two thoughts. Firstly, it is the "space expansion", whatever "space" or "volume" it is that is expanding. So I'm guessing the kinematic interpretation of redshift suggests only a 3volumes expansion, and the (at least partly) gravitational interpretation suggests a 4volume expansion. But the accepted interpretation is kinematic only  a 3volume expansion? Secondly it is about temperature. Mordred mentioned "increasing volume": I don't know what he means by volume here. I guess its 3volume space. 
Space Expansion, wavelength and energy density
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
So rulers do not expand. Great. So what? 6 replies

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Space Expansion, wavelength and energy density
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
1 for irrelevance. You quoted half a line and took it out of context to troll a response that has no context to my original text, with no intent other than to derail my topic with graffiti. I mean if you read my post you'd realise the expansion is present in the wavelength of a photon. And if the photon wavelength is the ruler, and the wavelength has expanded, then the ruler has expanded. 6 replies

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Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
Exactly you're wrong and just trolling. 76 replies

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Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
Define "closer" 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
Neither. As neither axes have any values other than zero. In this manifold, zero is the only value that can be taken. Everything has the value zero. 
AbstractDreamer started following Space Expansion, wavelength and energy density

How exactly does the expansion of space result in the lengthening of the wavelength of a photon? So you have a tiny photon in superposition with regards to its position and momentum travelling through spacetime for 13 billion years. An excitation propagating through the EM quantum field. Presumably the field is stretched by expansion, but the photon at any moment is a point. So how do the properties of the photon get stretched when it is just a point in the field? Unless the photon isnt a point, and is a line? And if it is a line, then space expansion doesnt occur at any instant but rather over a period? If a volume experiences space expansion, how do you measure the increase in volume from inside the volume? I'm guessing you cant because any ruler you have will expand with the volume. I'm guessing from inside the volume, there is no measurable increase in volume. If a volume experiences space expansion, how do you measure the increase in volume from outside the volume? Assuming, for any observer outside the volume, in order to be able to measure a redshifted photon that exceeds the speed of light you have to be sufficiently far away in spacetime such that the observer and the volume do not share a valid local reference frame. If there is no valid local frame of reference, how do we measure its volume? If there is no increase in volume locally, and you cannot measure the volume from outside, how does space expansion increase volume and result in lower average energy density?

Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
You're very wrong. Coordinates are sufficient for comparison. 2<3. Two is less than Three. You don't need any units of meters, seconds, degrees or apples, square roots or coloured pixels. Wrong again. The number of coloured pixels are the same in both, even if you use a metric of number of coloured pixels. Count them. There are 4 pixels in both. The difference between the pixels in both vertical and horiztonal direction are also the same. There are two pixels in the vertical direction for both, and 2 pixels in the horizontal directions for both. Your mistake is assuming the grid lines have significance. They dont. Only the numbers on the axes have meaning. Labelling with units is irrelevant. Which number is bigger? The number 2 or the number 3? 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
I'm asking which has bigger volume, not how big their volumes are according to some metric. You don't need a metric to compare volumes, if the coordinate systems are the same, which they are. The point is stretching axes doesn't change magnitude whatever metric you are using, and so space expansion doesn't change volume. Both objects are 2x2 square units, and internally consistent with that shape and magnitude  no matter how much an observer stretches the axes, inside the polygon you will never notice any difference. If you are arguing that space expansion increases volume, then you are saying the square has larger volume than the rectangle, because I changed the magnification and zoomed in significantly on the xaxis. So then your position is that the volume of each green polygon is a property of the observer and not the polygon. Space does not have to expand at all. That's the whole point of that paper. Cosmological redshift does not have to interpreted as due kinematic Doppler shift. 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology

Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
Wonderful answer thank you! I feel somewhat vindicated with posting this thread. This paper seems to answer my questions, at least to my level of comprehension. I disagree that they conclude Doppler redshift is more accurate than gravitation redshift. My understanding is that they conclude Doppler redshift interpretation is more natural. And by natural I assume they mean because its more simplistic to describe. "Within this frame, you would, by the equivalence principle, interpret their results as a Doppler shift. In so doing, you would be choosing to regard the Doppler family as the natural one, because this family is the one whose behavior is simplest to describe in your chosen frame" page 8 line 4 from the paper above. At this point, I have an issue with the free fall requirements of the Doppler shift model. That is, no gravitational difference between an observer and its neighbour along the path of the radiation, where any difference in observed frequency can be attributed as kinematic . Would a passing gravitational wave not break this local inertial frame between a pair of neighbours? Over 13 billions years, its hard to imagine how a photon avoids an encounter with a gravitational wave. On the other hand, a family of observers where each member is at rest relative to its neighbour seems more "natural" to me. That is, any difference in observed frequency of the photon can be attributed to gravitational redshift  a time dilation cause of redshift. More important than this choice of frame, is their conclusion that BOTH interpretations are valid. "There is no “fact of the matter” about the interpretation of the cosmological redshift: what one concludes depends on one’s coordinate system or method of calculation." page 8 line 17 "The common belief that the cosmological redshift can only be explained in terms of the stretching of space is based on conflating the properties of a specific coordinate system with properties of space itself. This confusion is precisely the opposite of the correct frame of mind in which to understand relativity." bit further down This validates my point entirely. The interpretation of cosmological redshift as Dopplershift or gravitational shift is a matter of choice, and not of facts. A choice of your arbitrary orientation of your coordinate system, something which I said even before I knew what I was talking about (or rather less that what I know now which is just marginally above zero). Space expansion is an ARTIFACT of the coordinate system where we CHOOSE zero gravitational causes to cosmological redshift. In other words if you choose to zerolise time dilation causes to cosmological redshift, then space expansion neatly explains superluminal recession speeds. So to address other points of evidence of space expansion as fact rather than choice: But I thought space expansion doesn't increase volume. Unless you are observing the volume from outside using a measurement reference that is independent of such expansion. If a cube 1m3 expands under space expansion, it's still 1m3 because your ruler also expands with the cube. So wouldn't you have to be outside of the universe to claim any part of it increased in volume? Or if you are inside the universe measuring another part of it, how do you know your ruler is not being stretched in order to conclude the volume being observed is increasing? Temperature is measurement of average energy in body/volume right? "Average" meaning over time. Even if space expansion "creates volume", how can we say the temperature decreases due to an increasing volume. Why can we not say "temperature decreases due to a slowing of time" (we are receiving less observables that measure temperature due to time slowing down)? If I measure 10 photons with a fixed energy propagating from a 1m3 volume over 1 second and we agree to calibrate this reading and call it 10 Hotness. If I then tell you I have two more experiments, one where I space expanded the volume to 2m3 the volume and another where I time diluted the volume to half the rate of time. In the space expansion experiment there are now less photons per volume. In the time dilated experiment there are now less photons per time. Both experiments would measure a decrease in temperature to 5 Hotness. But why would we assert that the decrease in temperature is due to only the volume changing? I don't see why time dilation necessarily contradicts BB or steady state. Both of which are conclusions from many other factors besides time dilation. I think its more important to build from the ground up and end up wherever we end up, rather than top down where we want either the BB or a steady state to be a reality and then railroad observations, interpretations and models to fit. Einstein did that when declaring "God does not play dice", and trying to make QM fit his deterministic belief of the universe. Ultimately, there is no evidence that excludes time dilation as a factor in cosmological redshift, either through gravitational time dilation or some other kind of mechanics that result in time dilation. And I don't know why we commonly accept cosmological redshift is fully attributed to kinematic Dopplershift. 
Cosmological Redshift and metric expansion
AbstractDreamer replied to AbstractDreamer's topic in Astronomy and Cosmology
First post that addresses my questions. +1 So time rescaling as it passes is equivalent to space expansion due to a scale factor at that time. But what determines how much of that change is attributed to which case? In other words, how much of a redshift measurement is due to space expansion and how much is due to time dilation? According to the FLRW metric, it is ALL due to space expansion and there is a zero, or at least a netzero, time dilation effect. Take in the extreme case where there is no space expansion at all, and all the redshift is caused by time dilation, and the recessional velocity is caused by a dilation in time rather than by an expansion of space Why is this such an absurdity? Right, but that is just an artifact of orientation of your coordinate system. A neat trick to simplify a model. If you orientate the model to where certain dimensions on a manifold do not vary and other dimension do vary, that does not mean that the dimension that does not vary cannot vary in other models. So we orientate our redshift observations to one where the temporal dimension does not vary. That does not mean it cannot vary. The FLRW metric is orientated towards no allowance for time dilution in flat spacetime  of course it is not going to vary, its orientated that way! That does not mean there is no time dilution in flat spacetime. So we go back to my original questions. Where are the other interpretations / orientations  ones where time dilution can occur in flat spacetime? Why have we all towed the line fro 100 years with the one accepted orientation where there is no time dilation in flat spacetime? But more importantly... what are the limitations and consequences of such an orientation? What might we be missing because of this orientation?