Bruce considers that inflation remains somewhat speculative; that it's a solution looking for a problem to solve. So my questions are as follows: 1), does inflation solve the homogeneity problem; namely, that the observable universe seems to have come to thermo equlibrium, manifested by homogeneity, even though it is causally UN-connected; and 2), does it explain the absence of magnetic monopoles? TIA, AG
In fact, if facts matter, I studied the issue of homogeneity quite seriously and finally convinced myself that inflation seems to solve the issue of thermo equilibrium for a visable universe that is not causally connected. Then you come along, make a glib statement that in effect denies that conclusion (which I gather is widely supported among physicists). So it seems we deserve to hear some of your reasoning In this matter. On numerous other subjects, you are not at all reticent about fully airing your logic, but curiously, not so here. AG
You have asked this same question repeatedly, as with some other questions, the answers are generally the same and you make the same complaints.
LC
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AG
On Wednesday, October 2, 2019 at 6:41:32 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 9:21 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 5:46:50 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 3:03 AM Alan Grayson <agrays...@gmail.com> wrote:
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AGInflation can result in an increase in flatness and homogeneity. But that is relevant only if flatness and homogeneity were problems in need of explanation.BruceThe real problem is how did disparate regions of the universe become uniform when there would have been no causal connection between them. In particular with homogeneity inflation provides a mechanism whereby deviations from homogeneity and isotropy are uniform.Fine. Provided they were not uniform at the start. It is all a matter of distributions and in initial conditions. And you know nothing about either, so why solve a problem before you know it exists? Besides, can you achieve thermal equilibrium in a non-equilibrium state in 10^{-35} sec?BruceInflation started on a fiducial at 10^{-36}sec and lasted until 10^{-32} sec. Since the particle fields were near the Planck scale in energy this inflationary cycle lasted some 10^{10} times the periodicities of fields. That is enough to approximately have thermal equilibrium.
Winding the timeline of the universe back in time based on no inflation results in a problem because of high z physics, in particular the CMB. Without this high vacuum energy and extreme acceleration there is no way to get everything in the same region so they causally evolved according to the same set of initial conditions. In fact before inflation this was a problem that buggered cosmologies back in the 1960s and 70s.
On Thu, Oct 3, 2019 at 10:14 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 6:41:32 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 9:21 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 5:46:50 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 3:03 AM Alan Grayson <agrays...@gmail.com> wrote:
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AGInflation can result in an increase in flatness and homogeneity. But that is relevant only if flatness and homogeneity were problems in need of explanation.BruceThe real problem is how did disparate regions of the universe become uniform when there would have been no causal connection between them. In particular with homogeneity inflation provides a mechanism whereby deviations from homogeneity and isotropy are uniform.Fine. Provided they were not uniform at the start. It is all a matter of distributions and in initial conditions. And you know nothing about either, so why solve a problem before you know it exists? Besides, can you achieve thermal equilibrium in a non-equilibrium state in 10^{-35} sec?BruceInflation started on a fiducial at 10^{-36}sec and lasted until 10^{-32} sec. Since the particle fields were near the Planck scale in energy this inflationary cycle lasted some 10^{10} times the periodicities of fields. That is enough to approximately have thermal equilibrium.The problem is not the periodicity of the fields. The problem is the uniformity of the initial conditions. As Sabine points out, inflation just replaces one set of unknown initial conditions with another.I would also take issue with her suggestion that inflation solves some problems with the origin of the fluctuations seen in the CMB. Inflation might provide a framework, but it does not provide an explanation for these fluctuations. The fluctuations are built in by hand, and the gaussian nature of the fluctuations is also built in by hand. So these features of the CMB are not "explained" by inflation in any sense at all. There gaussian nature, and the relative magnitude of 10^{-5} are both free parameters that are set by hand.
On Wednesday, October 2, 2019 at 8:26:27 AM UTC-5, Alan Grayson wrote:
On Wednesday, October 2, 2019 at 4:52:50 AM UTC-6, Lawrence Crowell wrote:On Tuesday, October 1, 2019 at 5:59:42 PM UTC-5, Bruce wrote:On Wed, Oct 2, 2019 at 8:40 AM Alan Grayson <agrays...@gmail.com> wrote:On Sunday, September 29, 2019 at 8:53:35 AM UTC-6, Alan Grayson wrote:Bruce considers that inflation remains somewhat speculative; that it's a solution looking for a problem to solve. So my questions are as follows: 1), does inflation solve the homogeneity problem; namely, that the observable universe seems to have come to thermo equlibrium, manifested by homogeneity, even though it is causally UN-connected; and 2), does it explain the absence of magnetic monopoles? TIA, AGBruce; it seems like a simple issue you can resolve. That is, if you're skeptical that inflation solves any problems, does that include its allege explanation for large scale homogeneity and the absence of magnetic monopoles? TIA, AGAlan, stop treating me as though I existed merely to answer your questions. The answers to these questions are readily available in the literature. It is clear from your postings here that you are not widely read in the modern literature on these subjects. I am not your teacher. I think Sabine Hossenfelder has a blog post on this:BruceAlan also asks same questions over and over, where Alan then shaves these down to absurd points in refinements. These things are in internet resources that are fairly accessible to laymen.LCAbsurd points of refinements? Haven't you heard; the demons are in the details? Instead of sycophantic BS'ing, don't you think inflation is a good, and so far only explanation for the homogeneity of our causally UNconnected observable universe. I read the comments by Hossenfelder on homogeneity and didn't find them persuasive. AGYou belabor questions in a way that illustrates your need for something similar to a proof.
Science does not prove its conclusions.
On Wednesday, October 2, 2019 at 7:31:56 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 10:14 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 6:41:32 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 9:21 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 5:46:50 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 3:03 AM Alan Grayson <agrays...@gmail.com> wrote:
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AGInflation can result in an increase in flatness and homogeneity. But that is relevant only if flatness and homogeneity were problems in need of explanation.BruceThe real problem is how did disparate regions of the universe become uniform when there would have been no causal connection between them. In particular with homogeneity inflation provides a mechanism whereby deviations from homogeneity and isotropy are uniform.Fine. Provided they were not uniform at the start. It is all a matter of distributions and in initial conditions. And you know nothing about either, so why solve a problem before you know it exists? Besides, can you achieve thermal equilibrium in a non-equilibrium state in 10^{-35} sec?BruceInflation started on a fiducial at 10^{-36}sec and lasted until 10^{-32} sec. Since the particle fields were near the Planck scale in energy this inflationary cycle lasted some 10^{10} times the periodicities of fields. That is enough to approximately have thermal equilibrium.The problem is not the periodicity of the fields. The problem is the uniformity of the initial conditions. As Sabine points out, inflation just replaces one set of unknown initial conditions with another.I would also take issue with her suggestion that inflation solves some problems with the origin of the fluctuations seen in the CMB. Inflation might provide a framework, but it does not provide an explanation for these fluctuations. The fluctuations are built in by hand, and the gaussian nature of the fluctuations is also built in by hand. So these features of the CMB are not "explained" by inflation in any sense at all. There gaussian nature, and the relative magnitude of 10^{-5} are both free parameters that are set by hand.The initial conditions, what ever they were, were flattened out though by inflation. The anisotropy in the CMB is due to details in the field configuration of the scalar field. The theory just provides the action S = ∫d^4x√g(φR + L(φ)), but not the explicit initial conditions or the configuration of the field at reheating. The point though is these details were exponentially attenuated by inflation so their magnitude is small. Estimates of this works out pretty well.LC
On Thursday, October 3, 2019 at 3:45:41 AM UTC-6, Lawrence Crowell wrote:On Wednesday, October 2, 2019 at 7:31:56 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 10:14 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 6:41:32 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 9:21 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 5:46:50 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 3:03 AM Alan Grayson <agrays...@gmail.com> wrote:
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AGInflation can result in an increase in flatness and homogeneity. But that is relevant only if flatness and homogeneity were problems in need of explanation.BruceThe real problem is how did disparate regions of the universe become uniform when there would have been no causal connection between them. In particular with homogeneity inflation provides a mechanism whereby deviations from homogeneity and isotropy are uniform.Fine. Provided they were not uniform at the start. It is all a matter of distributions and in initial conditions. And you know nothing about either, so why solve a problem before you know it exists? Besides, can you achieve thermal equilibrium in a non-equilibrium state in 10^{-35} sec?BruceInflation started on a fiducial at 10^{-36}sec and lasted until 10^{-32} sec. Since the particle fields were near the Planck scale in energy this inflationary cycle lasted some 10^{10} times the periodicities of fields. That is enough to approximately have thermal equilibrium.The problem is not the periodicity of the fields. The problem is the uniformity of the initial conditions. As Sabine points out, inflation just replaces one set of unknown initial conditions with another.I would also take issue with her suggestion that inflation solves some problems with the origin of the fluctuations seen in the CMB. Inflation might provide a framework, but it does not provide an explanation for these fluctuations. The fluctuations are built in by hand, and the gaussian nature of the fluctuations is also built in by hand. So these features of the CMB are not "explained" by inflation in any sense at all. There gaussian nature, and the relative magnitude of 10^{-5} are both free parameters that are set by hand.The initial conditions, what ever they were, were flattened out though by inflation. The anisotropy in the CMB is due to details in the field configuration of the scalar field. The theory just provides the action S = ∫d^4x√g(φR + L(φ)), but not the explicit initial conditions or the configuration of the field at reheating. The point though is these details were exponentially attenuated by inflation so their magnitude is small. Estimates of this works out pretty well.LCI have a different model. Inflation didn't attentuate the initial condition. Rather it preserved an initial condition of virtually perfect uniformity, which was about the one part in 100,000 observed in the CMBR. Before inflation began, the universe was tiny, say much less than the diameter of a proton. It was so small in comparison to the SoL, that it was in thermo equilbrium before inflation began. The sudden huge expansion preserved the already existing thermo equilibrium. If inflation didn't happen, the time of recombination would have occurred much later than 380,000 years after the BB, and by that time the original very tiny fluctuations would have increased, resulting in relatively large variations in the CMBR, much more than one part in 100,000. What I haven't calculated -- because I don't know how -- is whether the time duration before inflation was long enough, despite the large SoL, for the universe to reach an approximate thermo equilbrium of one part in 100,000. AG
On Thursday, October 3, 2019 at 7:59:51 AM UTC-5, Alan Grayson wrote:
On Thursday, October 3, 2019 at 3:45:41 AM UTC-6, Lawrence Crowell wrote:On Wednesday, October 2, 2019 at 7:31:56 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 10:14 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 6:41:32 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 9:21 AM Lawrence Crowell <goldenfield...@gmail.com> wrote:On Wednesday, October 2, 2019 at 5:46:50 PM UTC-5, Bruce wrote:On Thu, Oct 3, 2019 at 3:03 AM Alan Grayson <agrays...@gmail.com> wrote:
In this case I was just responding to Bruce's certainty that inflation is mostly a red herring. I highly respect his opinions, but in this case, based on my study of this particular issue, I disagree. I am open to being proved wrong, but insults don't cut it. At least you agree that inflation does explain homogeneity. Aren't you curious about Bruce's take on this particular issue? AGInflation can result in an increase in flatness and homogeneity. But that is relevant only if flatness and homogeneity were problems in need of explanation.BruceThe real problem is how did disparate regions of the universe become uniform when there would have been no causal connection between them. In particular with homogeneity inflation provides a mechanism whereby deviations from homogeneity and isotropy are uniform.Fine. Provided they were not uniform at the start. It is all a matter of distributions and in initial conditions. And you know nothing about either, so why solve a problem before you know it exists? Besides, can you achieve thermal equilibrium in a non-equilibrium state in 10^{-35} sec?BruceInflation started on a fiducial at 10^{-36}sec and lasted until 10^{-32} sec. Since the particle fields were near the Planck scale in energy this inflationary cycle lasted some 10^{10} times the periodicities of fields. That is enough to approximately have thermal equilibrium.The problem is not the periodicity of the fields. The problem is the uniformity of the initial conditions. As Sabine points out, inflation just replaces one set of unknown initial conditions with another.I would also take issue with her suggestion that inflation solves some problems with the origin of the fluctuations seen in the CMB. Inflation might provide a framework, but it does not provide an explanation for these fluctuations. The fluctuations are built in by hand, and the gaussian nature of the fluctuations is also built in by hand. So these features of the CMB are not "explained" by inflation in any sense at all. There gaussian nature, and the relative magnitude of 10^{-5} are both free parameters that are set by hand.The initial conditions, what ever they were, were flattened out though by inflation. The anisotropy in the CMB is due to details in the field configuration of the scalar field. The theory just provides the action S = ∫d^4x√g(φR + L(φ)), but not the explicit initial conditions or the configuration of the field at reheating. The point though is these details were exponentially attenuated by inflation so their magnitude is small. Estimates of this works out pretty well.LCI have a different model. Inflation didn't attentuate the initial condition. Rather it preserved an initial condition of virtually perfect uniformity, which was about the one part in 100,000 observed in the CMBR. Before inflation began, the universe was tiny, say much less than the diameter of a proton. It was so small in comparison to the SoL, that it was in thermo equilbrium before inflation began. The sudden huge expansion preserved the already existing thermo equilibrium. If inflation didn't happen, the time of recombination would have occurred much later than 380,000 years after the BB, and by that time the original very tiny fluctuations would have increased, resulting in relatively large variations in the CMBR, much more than one part in 100,000. What I haven't calculated -- because I don't know how -- is whether the time duration before inflation was long enough, despite the large SoL, for the universe to reach an approximate thermo equilbrium of one part in 100,000. AGFor various reasons this will not work. With inflation the cosmological horizon was 10^{-27}m in radius. The real problem is that without inflation winding back the cosmic time leads to nonsensical conditions.LC
ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AG
On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote:On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <agrays...@gmail.com> wrote:ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AGThat is essentially what I said. Lawrence is just replacing one set of unknown initial conditions with another, equally unjustified, set.Bruce
On Thursday, October 3, 2019 at 8:13:22 PM UTC-5, Alan Grayson wrote:On Thursday, October 3, 2019 at 7:05:12 PM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:01:49 PM UTC-5, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote:On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <agrays...@gmail.com> wrote:ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AGThat is essentially what I said. Lawrence is just replacing one set of unknown initial conditions with another, equally unjustified, set.BruceIn below & means δ. I forgot to replace them.LCThe entropy is S = A/4ℓ_p^2 + quantum corrections, where these corrections are ~ (&S/&h^a)k^a. Here h^a is tangent to the horizon and k^a is normal. This condition coincident on a null surface can appear on a quantum extremal surface with null tangent g^s so that (&S/&h^a)k^a ≥ (&S/&g^a)k^a by subadditivity. However, this surface occurs inside the cosmological horizon. This means there is no equilibriium. Equilibrium is only approximated by stretching the horizon out to enormous distance after the spatial surface has inflated.It is the case that inflation does not tell us the whole story prior to inflation. So one can say there are equally unknown initial conditions. However, the details of those are less important as the spatial manifold is stretched out. That means inflation does provide at least a working system.LCAssuming the universe was incredibly tiny prior to inflation, and was therefore causally connected, isn't it reasonable to assume that it had reached thermo equilibrium prior to the onset of inflation? AGThermal equilibrium is not possible with quantum fields in curved spacetiome, nor is is likely in quantum gravity. The reason is not too hard to see. Suppose you have a black hole in a thermal background with the same temperature as its horizon T ~ 1/8M. The black hole has an equiprobability of absorbing or emitting a photon with energy δM The temperature then adjusts as T - δT ~ 1/8(M + δM) or T + δT ~ 1/8(M - δM) and is shifted away from thermal equality. This will then enhance the probability the black hole either then grows by absorbing more photons or by emitting them. There is no thermal equilibrium. Quantum gravitation is likely the same, for the effective specific heat of event horizons is negative. What I wrote above is in effect a more general form of this.Now a gemish of particles or a gas can be in thermal equilibrium in spacetime.
On Friday, October 4, 2019 at 3:31:31 AM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:13:22 PM UTC-5, Alan Grayson wrote:On Thursday, October 3, 2019 at 7:05:12 PM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:01:49 PM UTC-5, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote:On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <agrays...@gmail.com> wrote:ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AGThat is essentially what I said. Lawrence is just replacing one set of unknown initial conditions with another, equally unjustified, set.BruceIn below & means δ. I forgot to replace them.LCThe entropy is S = A/4ℓ_p^2 + quantum corrections, where these corrections are ~ (&S/&h^a)k^a. Here h^a is tangent to the horizon and k^a is normal. This condition coincident on a null surface can appear on a quantum extremal surface with null tangent g^s so that (&S/&h^a)k^a ≥ (&S/&g^a)k^a by subadditivity. However, this surface occurs inside the cosmological horizon. This means there is no equilibriium. Equilibrium is only approximated by stretching the horizon out to enormous distance after the spatial surface has inflated.It is the case that inflation does not tell us the whole story prior to inflation. So one can say there are equally unknown initial conditions. However, the details of those are less important as the spatial manifold is stretched out. That means inflation does provide at least a working system.LCAssuming the universe was incredibly tiny prior to inflation, and was therefore causally connected, isn't it reasonable to assume that it had reached thermo equilibrium prior to the onset of inflation? AGThermal equilibrium is not possible with quantum fields in curved spacetiome, nor is is likely in quantum gravity. The reason is not too hard to see. Suppose you have a black hole in a thermal background with the same temperature as its horizon T ~ 1/8M. The black hole has an equiprobability of absorbing or emitting a photon with energy δM The temperature then adjusts as T - δT ~ 1/8(M + δM) or T + δT ~ 1/8(M - δM) and is shifted away from thermal equality. This will then enhance the probability the black hole either then grows by absorbing more photons or by emitting them. There is no thermal equilibrium. Quantum gravitation is likely the same, for the effective specific heat of event horizons is negative. What I wrote above is in effect a more general form of this.Now a gemish of particles or a gas can be in thermal equilibrium in spacetime.Doesn't this characterize the universe before inflation began? If not, then what? AG
On Friday, October 4, 2019 at 5:34:42 AM UTC-5, Alan Grayson wrote:
On Friday, October 4, 2019 at 3:31:31 AM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:13:22 PM UTC-5, Alan Grayson wrote:On Thursday, October 3, 2019 at 7:05:12 PM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:01:49 PM UTC-5, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote:On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <agrays...@gmail.com> wrote:ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AGThat is essentially what I said. Lawrence is just replacing one set of unknown initial conditions with another, equally unjustified, set.BruceIn below & means δ. I forgot to replace them.LCThe entropy is S = A/4ℓ_p^2 + quantum corrections, where these corrections are ~ (&S/&h^a)k^a. Here h^a is tangent to the horizon and k^a is normal. This condition coincident on a null surface can appear on a quantum extremal surface with null tangent g^s so that (&S/&h^a)k^a ≥ (&S/&g^a)k^a by subadditivity. However, this surface occurs inside the cosmological horizon. This means there is no equilibriium. Equilibrium is only approximated by stretching the horizon out to enormous distance after the spatial surface has inflated.It is the case that inflation does not tell us the whole story prior to inflation. So one can say there are equally unknown initial conditions. However, the details of those are less important as the spatial manifold is stretched out. That means inflation does provide at least a working system.LCAssuming the universe was incredibly tiny prior to inflation, and was therefore causally connected, isn't it reasonable to assume that it had reached thermo equilibrium prior to the onset of inflation? AGThermal equilibrium is not possible with quantum fields in curved spacetiome, nor is is likely in quantum gravity. The reason is not too hard to see. Suppose you have a black hole in a thermal background with the same temperature as its horizon T ~ 1/8M. The black hole has an equiprobability of absorbing or emitting a photon with energy δM The temperature then adjusts as T - δT ~ 1/8(M + δM) or T + δT ~ 1/8(M - δM) and is shifted away from thermal equality. This will then enhance the probability the black hole either then grows by absorbing more photons or by emitting them. There is no thermal equilibrium. Quantum gravitation is likely the same, for the effective specific heat of event horizons is negative. What I wrote above is in effect a more general form of this.Now a gemish of particles or a gas can be in thermal equilibrium in spacetime.Doesn't this characterize the universe before inflation began? If not, then what? AGNo, the large plasma of particles was generated in the post inflationary period with reheating or the collapse of the vacuum or inflaton.LC
> ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AG
On Friday, October 4, 2019 at 4:50:12 AM UTC-6, Lawrence Crowell wrote:
On Friday, October 4, 2019 at 5:34:42 AM UTC-5, Alan Grayson wrote:
On Friday, October 4, 2019 at 3:31:31 AM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:13:22 PM UTC-5, Alan Grayson wrote:On Thursday, October 3, 2019 at 7:05:12 PM UTC-6, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 8:01:49 PM UTC-5, Lawrence Crowell wrote:On Thursday, October 3, 2019 at 6:59:35 PM UTC-5, Bruce wrote:On Fri, Oct 4, 2019 at 9:54 AM Alan Grayson <agrays...@gmail.com> wrote:ISTM, that the argument the universe was NOT in thermo equilibrium just before inflation is alleged to have begun, is extremely WEAK. Thus, it's illogical to claim that inflation "smooths out" the alleged NON thermo equiiibrium just before inflation begun. AGThat is essentially what I said. Lawrence is just replacing one set of unknown initial conditions with another, equally unjustified, set.BruceIn below & means δ. I forgot to replace them.LCThe entropy is S = A/4ℓ_p^2 + quantum corrections, where these corrections are ~ (&S/&h^a)k^a. Here h^a is tangent to the horizon and k^a is normal. This condition coincident on a null surface can appear on a quantum extremal surface with null tangent g^s so that (&S/&h^a)k^a ≥ (&S/&g^a)k^a by subadditivity. However, this surface occurs inside the cosmological horizon. This means there is no equilibriium. Equilibrium is only approximated by stretching the horizon out to enormous distance after the spatial surface has inflated.It is the case that inflation does not tell us the whole story prior to inflation. So one can say there are equally unknown initial conditions. However, the details of those are less important as the spatial manifold is stretched out. That means inflation does provide at least a working system.LCAssuming the universe was incredibly tiny prior to inflation, and was therefore causally connected, isn't it reasonable to assume that it had reached thermo equilibrium prior to the onset of inflation? AGThermal equilibrium is not possible with quantum fields in curved spacetiome, nor is is likely in quantum gravity. The reason is not too hard to see. Suppose you have a black hole in a thermal background with the same temperature as its horizon T ~ 1/8M. The black hole has an equiprobability of absorbing or emitting a photon with energy δM The temperature then adjusts as T - δT ~ 1/8(M + δM) or T + δT ~ 1/8(M - δM) and is shifted away from thermal equality. This will then enhance the probability the black hole either then grows by absorbing more photons or by emitting them. There is no thermal equilibrium. Quantum gravitation is likely the same, for the effective specific heat of event horizons is negative. What I wrote above is in effect a more general form of this.Now a gemish of particles or a gas can be in thermal equilibrium in spacetime.Doesn't this characterize the universe before inflation began? If not, then what? AGNo, the large plasma of particles was generated in the post inflationary period with reheating or the collapse of the vacuum or inflaton.LCIf not a plasma of particles before inflation, then what was it -- a soup of photons, or what? Also, although I really don't know much about BH's, your analysis above depends on a boundary between the BH and what's beyond it. In the pre-inflation universe there was no internal boundary within the universe, so I don't see the relevance of the BH analogy. AG
On Saturday, October 5, 2019 at 7:57:59 AM UTC-6, Lawrence Crowell wrote:They came to equilibrium, and what thermal fluctuations that deviated away from equilibrium were "ironed out" by inflation.It's the "ironed out" that I don't understand. If there were some fluctuations, small deviations from thermal equilibrium, why would a sudden expansion attenuate them? It makes more sense to me that the universe was already very close to thermal equilibrium during inflation, and inflation preserved this state. BTW, I am not "belaboring" anything here; rather, I am trying to resolve, or possibly modify, a key element of the inflation model. AG
> It's the "ironed out" that I don't understand. If there were some fluctuations, small deviations from thermal equilibrium, why would a sudden expansion attenuate them?
> It makes more sense to me that the universe was already very close to thermal equilibrium during inflation,
On Saturday, October 5, 2019 at 11:41:25 AM UTC-5, Alan Grayson wrote:On Saturday, October 5, 2019 at 7:57:59 AM UTC-6, Lawrence Crowell wrote:They came to equilibrium, and what thermal fluctuations that deviated away from equilibrium were "ironed out" by inflation.It's the "ironed out" that I don't understand. If there were some fluctuations, small deviations from thermal equilibrium, why would a sudden expansion attenuate them? It makes more sense to me that the universe was already very close to thermal equilibrium during inflation, and inflation preserved this state. BTW, I am not "belaboring" anything here; rather, I am trying to resolve, or possibly modify, a key element of the inflation model. AGThis is why these post with you drive me nuts. It is for the same reason that if waves are stretched out they are made more IR. If clumps are stretched out, think hard speed bump vs a soft one that is spread out, or if curvatures are stretched these occur on a low energy or larger scale.LC
On Sat, Oct 5, 2019 at 12:41 PM Alan Grayson <agrays...@gmail.com> wrote:> It's the "ironed out" that I don't understand. If there were some fluctuations, small deviations from thermal equilibrium, why would a sudden expansion attenuate them?As I explained in my previous post, Inflation Theory says a very very very small part of the pre-inflationary universe would have had time to reach thermal equilibrium, and that small part then underwent exponential expansion and become 10^100 times larger (or maybe "only" 10^78 times larger) in just 10^-35 seconds. And that very very small part is our entire observable universe. And that very very very small part of the Universe is still in thermal equilibrium, or close to it.> It makes more sense to me that the universe was already very close to thermal equilibrium during inflation,As I also explain in my previous post, there is no theoretical reason to expect the pre-inflationary universe to be anywhere even close to thermal equilibrium, and the less fine tuning of initial conditions that a theory needs to match current observations, that is to say the less often you have to say "that's just the way it is", the better.
By the way, this thread is quickly becoming unreadable, your post had 12 iterations of quotes, that's quotes of quotes of quotes of quotes of quotes of quotes of quotes of quotes of quotes of quotes of quotes of quotes.
John K Clark
On Saturday, October 5, 2019 at 1:27:49 PM UTC-6, Lawrence Crowell wrote:On Saturday, October 5, 2019 at 11:41:25 AM UTC-5, Alan Grayson wrote:On Saturday, October 5, 2019 at 7:57:59 AM UTC-6, Lawrence Crowell wrote:They came to equilibrium, and what thermal fluctuations that deviated away from equilibrium were "ironed out" by inflation.It's the "ironed out" that I don't understand. If there were some fluctuations, small deviations from thermal equilibrium, why would a sudden expansion attenuate them? It makes more sense to me that the universe was already very close to thermal equilibrium during inflation, and inflation preserved this state. BTW, I am not "belaboring" anything here; rather, I am trying to resolve, or possibly modify, a key element of the inflation model. AGThis is why these post with you drive me nuts. It is for the same reason that if waves are stretched out they are made more IR. If clumps are stretched out, think hard speed bump vs a soft one that is spread out, or if curvatures are stretched these occur on a low energy or larger scale.LCBruce has a dim view of inflation theory. He says it's a solution seeking a problem. He doesn't say, but if it's related to the present large scale homogeneity of the observable universe, it raises the issue of whether, just before or during inflation, the universe was already in thermal equiibrium. It's a reasonable question because, throughout that time, the universe was extraordinarily tiny and in causally connected. What's lacking in your reply, and possibly in the theory supporting inflation ON THIS PARTICULAR ISSUE, is a rigorous definition of thermal equilibrium, and whether the time scale of inflation (its duration), the size of the universe during that time, and the SoL, whether thermal equilibrium is definitely ruled OUT. Maybe it deviated by just one part in 100,000 and this is what is measured in the CMBR. If the question drives you nuts, it's probably because, to some extent, you share the world-view of the ruling elite in ancient Greece who found the questions of Socrates intolerable and insisted he drink the hemlock. My method is to test the claims of theories, and the more polemic the answers, the less confidence I have in their truth value. That said, I thank you for the plausible information that particles became manifest with the decay of the original vacuum. AG
Bruce is very conservative, too conservative I think. Inflation makes some sense out of things, and while it is not a fundamental theory, it does push ignorance back. It also has some measure of observational support.
LC