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Sahil Gupta via A Cosmology Group

In this recent interview, Sean Carroll, another TV cosmologist, whose blog is named "Preposterous Universe" (lol), says that because we live in an expanding universe, energy is not conserved.

Sean Carroll on the Biggest Ideas in the Universe | Closer To Truth Chats


Louis Marmet via A Cosmology Group

"Preposterous Sean Carroll" is correct.

  Anybody who says "energy not conserved" opens a can of worms (bad pun intended), so most cosmologists hide this from public view.

For those who want to hear it from Sabine ;-) "... if the wavelength of light increases with the expansion of the universe, then the energy decreases."

Sabine Hossenfelder: Backreaction: What is Energy? Is Energy Conserved?


Han de Bruijn via A Cosmology Group

Sabine's presentation is exactly to the point. Indeed, Emmy Noether proved a few things:

(1) time-translation invariance is intimately related to conservation of energy
(2) invariance for translation in space is intimately related to conservation of momentum
(3) invariance for rotation in space is intimately related to conservation of angular momentum

Human technology would be unthinkable without experiments which are not repeatable in the first place.
And it is expected that outcomes must be the same at any spatial orientation and at any place around.
So the conservation laws cannot be questioned for the physics that is technologically useful for us.

But the world is not only physics. In religion we have miracles, at least that's what some people think.
A miracle is a typical example of an "experiment" that is not repeatable and not done at some other place.
And miracles usually violate conservation laws, as the name "miracle" already says.
Does that mean that miracles are impossible? Strictly speaking, Emmy Noether's findings do not say so.

The same story holds more or less for cosmology.
If there is an evolution in the universe, with or without a Big Bang, then events may be not repeatable and not replaceable.
But, if such is the case, then there is also no physical necessity for the common conservation laws to hold.

Let physics be physics, let us continuously be aware of its limitations and not extrapolate too much.

Han de Bruijn via A Cosmology Group

In response to Olli Santavuori:

> Third is that it [ the universe ] is eternal and infinite, something like that [ .. ]

I would like to add the following.

You start with the assumption that the universe is infinite in space and time.
Because of Russell's Paradox and Infinitum Actu Non Datur this effectively means that "There is no universe" at all; in the sense that there would exist something that contains everything.
An infinite universe, according to Gauss' dictum, is just a way of speaking:
[ Was nun aber Ihren Beweis für (1) betrifft, ] so protestire ich zuvörderst gegen den Gebrauch einer unendlichen größe als einer Vollendeten, welcher in der Mathematik niemals erlaubt ist. Das Unendliche ist nur eine façon de parler, indem man eigentlich von Grenzen spricht, denen gewisse Verhältnisse so nahe kommen als man will, während andern ohne Einschränkung zu wachsen verstattet ist. ( C.F. Gauss [in a letter to Schumacher, 12 July 1831] )
I protest against the use of infinite magnitude as something completed, which is never permissible in mathematics. Infinity is merely a way of speaking, the true meaning being a limit which certain ratios approach indefinitely close, while others are permitted to increase without restriction.
Gauss referred to mathematics as "the queen of sciences", hence as a science, like good old physics.

Carl Friedrich Gauss , Russell's paradox , "There is no Universe" .


Han de Bruijn via A Cosmology Group

The arrow of time

Let's have a closer look / better listening at the video.

Right from the start, Sean Carroll says:

For example, the early universe has low entropy. That's where the arrow of time comes from.

At 40:30 minutes, Sean Carroll and companion start talking about time reversibility.

At 41:30 minutes:
[ Space and time ] are different, obviously, because, unlike space, time has a direction.
And I wrote a whole book on this [ .. ]
: From Eternity to Here .

The fact that entropy is increasing from the past to the future.

That statement is false, because in a universe with sustainable life forms order is increasing.
The above is typically a proposition that comes from a science whose only concern is dead matter.
It's actually a matter of life and death. Without enough life in existence, entropy is indeed increasing.
But increasing order due to the activity of living beings means: decreasing entropy of the universe.

And it's not where the arrow of time comes from.

The laws of physics seem to be in support of time reversibility.
But that is only the case if these laws can be considered apart from initial and boundary conditions.
Now let us only agree upon the fact that, in the end, all classical calculus boils down to Numerical Analysis,
for the simple reason that you must get numbers out. But Numerical Analysis is not continuous: it is discrete.
Within a discrete substrate, it's not at all obvious that the laws are independent of the boundary conditions:

Upwind differencing scheme in Finite Volume Method (FVM) , From Patankar's book .

It's impossible to have a shortcut to the truth without the details. I'm sorry.


Louis Marmet via A Cosmology Group

ACG member Martín López-Corredoira has published a book on cosmology titled "Fundamental Ideas in Cosmology".

A presentation of the book and a debate with orthodox cosmologists is available on YouTube:
IAC talk. Presentation of the book: Fundamental ideas in Cosmology (open to further participation in the debate leaving comments in the youtube video)

I will soon write a (very positive) review in the ACG Newsletter. In the meantime here is more information about the book:

Fundamental Ideas in Cosmology.
Scientific, philosophical and sociological critical perspectives

Author: Martín López-Corredoira (PhD physics and philosophy)

Highlights:
- A sceptical view on cosmology.
- Review of many problems of the standard cosmological model and alternative ideas, with almost one thousand references.
- Contains references to hundreds of articles from mainstream and non-mainstream cosmology and astronomy.
- Published by IoP-Science (publisher of Astrophys. J., Astron. J., Res. Astron. Astrophys., J. Cosmol. Astropart. Phys., etc.)

Some links:
- Ebook . (Front matter, including table of contents, and chapter 1 are free to read )
- Printed copy in hardcover
- Video-abstract (4 min.)


Han de Bruijn via A Cosmology Group

Let us compare the YouTube presentation of the book with an earlier document of the same author.

Then we see that some of the slides are almost the same.

old 2 = new 41
old 3 = new 42
old 5 = new 43
old 10 = new 44
old 25 = new 45
old 27 = new 46
old 31 = new 49
old 35 = new 37
old 36 = new 48

Probably meaning that the author's opinion about these subjects has not changed much.

But then there is one thing that worries me.
In the old presentation there are two slides mentioning Halton Arp: 7 and 24.
However, Halton Arp is no longer present in the new slides, as far as I can see.
(I didn't follow the whole audio, to be honest)

Does it mean that the Variable Mass Hypothesis no longer counts as a serious Alternative Model?
And if so, Martín López-Corredoira, may I know where this twist in your mind comes from?


Louis Marmet via A Cosmology Group

.. you can find over 80 Cosmology Models here. Some of them explain the origin of the CMB.


Louis Marmet via A Cosmology Group

- Raw data have to be corrected for 'instrument and selection' biases before becoming "observations", and those corrections depend on the assumed cosmological model.

1- The galactic inclination angle doesn't affect the angular size for a disk galaxy. However, if galaxies have any other shape [a large bar e.g. SBc on Hubble's classification scheme, elliptical, irregular] the assumption of a circular galaxy makes them appear smaller than they really are.
A bias appears if galactic evolution is assumed, e.g. "in ΛCDM most galaxies of the high-z universe are irregular". Since this assumption is currently being falsified by the Webb Telescope, astronomers panic because they will have to re-analyse all raw data to correct for a majority of spirals.

2- The cores of high-z galaxies are at the detection limit of telescopes, so we only discover the brightest ones = Malmquist bias. Corrections to compensate for the Malmquist bias are based on star-formation-rates in galaxies observed in the near universe, extrapolated to the high-z universe using ΛCDM evolutionary models of galaxies and space expansion.

3- The large redshift of high-z galaxies means that their spectra line up differently with the telescope's filters, and often most of the spectrum falls outside the detected wavelengths. (See e.g. Crawford's description of what happens with supernovae templates.) Corrections are made that are instrument and redshift dependent, and which assume galactic evolution based on ΛCDM to estimate the colour of the galaxy. As a result a ΛCDM-dependent reddening-bias on the angular size is introduced.

4- High-z galaxies images are at the detection limit of telescopes, therefore the outer edge of galaxies are not seen and galaxies appear smaller. There are methods which compensate for that problem (e.g. the Petrosian radius), but those wavelength dependent corrections depend on the cosmology model.

5- Absolute luminosity is calculated assuming a function based on ΛCDM (which is different to that in a non-expanding cosmology). The ΛCDM biased galactic luminosity is then used with the "fundamental plane" relation to compensate for its correlation with galactic size, so the end result is that the galactic size is also biased with the ΛCDM model.

6- Absorption by intergalactic dust, which depends on a distance calculated from z in a model-dependent way, also changes the 'observed' luminosity of galaxies. This can also change the average angular size via the fundamental plane relation.

A real astronomer could certainly list more biases. One thing is for sure, one needs an experienced team to generate "observations" from raw data, but most people who have such an experience are trained in the Big Bang paradigm. Raw data is available from many redshift surveys, some with good spectroscopic redshifts.

Sahil, you graph your "observables" as a function of time, which is a model-dependant variable. Instead, always plot "observables" as a function of redshift, the only model-independent observable. This will make it easier to compare observations with other models. Unfortunately there is no 'clean observed angular size', these "observations" are biased with corrections that are model dependent.

It is difficult to convince cosmologists that ΛCDM is wrong - what they call "observations" are all model dependent!


Han de Bruijn via A Cosmology Group

A Confession

One of the books that changed my life is Karl Marx (1867): Het Kapitaal, boek 1 (The Capital, book 1)

At that time (around 1970) it was politically correct among students in the Netherlands to have communist literature at their apartment.
I was such a student, the book was not quite expensive and I decided to take it with me during my vacation on the beach.
It was not my purpose to actually read those few hundred pages, just in case the weather was too bad for doing more pleasant things.
Now guess what happened. There was only one rain shower, but it lasted for three weeks! So I had plenty of time to read the book.
If the weather had been different, then definitely the rest of my life would have been .. a bit different.

In 1973 I was going to finish my study at the Eindhoven University of Technology, Mathematical Physics department.
As a naive student, I still had a firm belief in the honesty of science and wrote this proposal for my graduate thesis.
To be translated in English as: Foundations for a Materialist Mathematics, a mathematics based upon material reality.

Guess what happened next. I would have been the first student in the history of the university who failed his exam!
However, they became reluctant to let the conflict escalate and, at last, everybody agreed to settle for less.
Needless to say that the above experience has had a deep impact on my attitude towards science, mathematics in particular.

After all those years, much to my disappointment, Marxist science has not become much different from Capitalist science.
I hear a lot of clucking in marxist.com . And they keep quoting from their bibles all over the place. But where are the eggs?

Marx's Mathematical Manuscripts


Han de Bruijn via A Cosmology Group

Upon considering the paper by Louis Marmet.

At page 11, in section 5.1 about Quasi Steady State Cosmology, we read:
An objection to this model is based on experimental results. Objection!

Problem is that the Variable Particle Mass theory by Narlikar, Hoyle, Arp cannot be in existence without the following.
A missing element in VPM is that there are two kinds of clocks instead of one: orbital clocks and atomic clocks.
Admittedly, the two clocks have been invented originally by Creationists for the purpose of conciliation with the Bible.
Thus the idea is not mine, but I found it useful. It has been formalized by Arthur Milne and his formula is part of UAC .
Then there is a theorem in UAC which can be proved by applying accepted physics and mathematics before 1915:

      Orbital time = Atomic time if and only if elementary particle mass is not varying.

Read VPM debunked? and The Refutation for details. And all of the rest, of course :-(


Han de Bruijn via A Cosmology Group

Hi Amitabha,

You write that none in the Math department of IIT Kanpur could analytically prove the exact equality of the two integrals.
Don't be embarrassed. I have had many more Human Resources at my disposal than there are people in your department :-)

MATHEMATICS (Stack Exchange), MSE for short, is a worldwide forum consisting of over 25,000 members.
Unfortunately, many of them are sitting there waiting to get cheap answers to their homework questions.
Unfortunately, many of the more skilled members are gaining cheap reputation by answering those questions.
Unfortunately, there is a sort of Hubble tension present in Mathematics as well. It's called Set Theory.
But, considering all the participants of the forum, it can be safely said that say 1,000 of them are "true" mathematicians.

To all. Therefore I would recommend everybody who has a question of a mathematical nature: post it at MSE. It's for free !!
If one obeys the rules and knows how to draw attention, then there is a good chance that someone comes up with an answer.


Han de Bruijn via A Cosmology Group

Hi Amitabha,

You write: But not being trained to handle tensor fields I could not make any progress.

Well, Amitabha, I have been trained to handle tensor fields when I was a student.
I have been able to understand tensor analysis with coordinate transformations, Structural Mechanics, bubble formation.
But I have not been able to really understand tensor analysis with General Relativity for over 50 years. Am I so stupid?
No. In my not so humble opinion, General Relativity is to be blamed. It's not the fault of good old tensor analysis.
I find your book especially interesting because General Relativity and its over-the-top tensor hodgepodge is not in it.

If you want to read more about my bias against GR: it's on top of this section at my Cosmology webpage. Only if ..


Han de Bruijn via A Cosmology Group

Concerning the paper by Alexander Unzicker, this sentence in the abstract has drawn my attention:
the cosmological redshift is described by a shortening of measuring rods rather than an expansion of space.
Yes, that's in agreement with a section in my Variable Mass Theory: Length Contraction .
However,

Length Contraction is observationally equivalent with the Expansion of Empty Space


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