Moon Pictures 5th March 2012

Here are some pictures I took of the Moon on the evening of the 5th March 2012. The phase of the Moon is Waxing Gibbous 91% full.

They were all taken using a simple “point and click” digital camera directly though the eye piece of my Bresser Skylux NG 70-700 refractor. The eyepeice lens was 20mm.

The results are not great, but they give you some idea of what is possible using very modest equipment.

Huge Fireball 3rd March 2012

Police forces say they have received a number of calls reporting what is believed to have been a meteor.

A “huge fireball” was reported travelling from northern Scotland to southern England at about 21:40 GMT, amid fears a plane had crashed.

BBC News website

I have seen fireballs before and they are very impressive. This one on the 3rd March caused a bit of a stir.

See the full news report here.

I could do with $100,000…but

Scott Aaronson has offered $100,000 to anyone that can show that viable quantum computers are fundamentally impossible.

The question is not a practical one, there seems many technical difficulties that have prevented the primitive quantum processors being scaled up to working quantum computers. The question is deeper than this and asks is our understanding of quantum mechanics right?

What is true is that the scaling up of quantum computers cannot be forbidden by some obvious or trivial reason within quantum mechanics. So the bet is to come up with some convincing reason why practical scaled up quantum computers cannot be realised.

Links

Scott Aaronson’s blog

IEEE Spectrum

Scott Aaronson’s homepage

Poor numeracy is a national problem

Poor numeracy is blighting Britain’s economic performance and ruining lives, says a new charity launched to champion better maths skills.

Judith Burns Education reporter, BBC News

National Numeracy, which a a UK based charity, reports that poor many people are struggling with their daily lives such as understanding payslips, train timetables and shopping bills. Low standards in numeracy is a problem not only at a personal level, but also for the national economy.

A badge on honour

As a nation us Brits are not ashamed to state that we “cannot do maths”. I find this very strange. It is true that mathematics is a hard subject that encompasses lots of abstract ideas, but here we are really talking about basic numeracy. People are quite happy to tell you that they did very badly in maths at school, but seem less so with other subjects.

For example, not being able to read and write is considered shameful. People will go to quite some lengths to hide the fact they cannot read. The same cannot be said of basic numeracy skills.

In my opinion this has to change. It must nationally be seen as important to have basic numeracy skills.

We need to find imaginative ways to switch them [school children] on to maths and teach them to be proud to be numerate.

Rachel Riley, presenter of TV’s Countdown

Rachel is absolutely right here. School children should be excited by mathematics and its power, not ashamed and being seen as a nerd.

The Research

The Skills for Life survey (2011) measured the numeracy levels of 16 to 65 year-olds in England. Without going into any detail, there appears a strong link with general “quality of life” and poor numeracy skills. For example earnings and overall education are lower if you have poor numeracy skills.

Rather than just quote the study, have a look at the analysis by National Numeracy here.

We have a bit of a chicken and the egg situation going on here. Is it the social problems coursing the low educational aspirations or vice versa?

My final analysis

It does seem true that low numeracy skills are not only a personal issue but a much greater social and economic one. It is important that as a nation we address this and see low numeracy skills in individuals as the system failing them.

Links

BBC News report

National Numeracy homepage

The Alan Turing Year-2012

Just a reminder that this year is The Alan Turing Year. Turing was born in London on the 23th June 1912.

There is just about no area of science that Turing has not had some impact on in some way. I think he is best known for his pioneering works in computer science.

In a wider context Turing is famous for his code breaking work during the second word war at Bletchley Park. After the war he worked at the National Physics Laboratory creating the designs for ACE, which was a very early electronic stored-program computer.

In 1948 Turing joined the Computing Laboratory at Manchester.

Turing’s story after that is quite sad. He was prosecuted for homosexual acts in 1952, he was given a chemical castration after that. He died of cyanide poisoning on 1954. The verdict of the inquiry was suicide.

You can find out lots more about Turing’s influence on mathematics and science at the official The Alan Turing 2012 homepage.

Other Links

Wikipedia

Andrew Hodges’s page

The MacTutor biography

Space, time, and gravity: the theory of the big bang and black holes, by Wald

The general theory of relativity has a reputation of being very difficult to comprehend. This is especially true for the layperson or undergraduate students. Space, time, and gravity: the theory of the big bang and black holes by Robert M. Wald plots a very accessible course through the core phenomena of general relativity without any unnecessary mathematical detail.

The book is based on lectures that Wald gave in Chicago 1977. The 1992 version is updated due to the great advancements in observation cosmology since the first edition.

The book consists of 10 main chapters, an appendix (in the 1992 edition) and a list of suggestions for further reading.

Chapter 1 describes the geometry of space and time from a Newtonian “everyday” perspective. The ideas of spce-time diagrams, the principle of relativity and absolute simultaneity are given here. In the next chapter it shown how these ideas need modifying following Einstein.

Chapter 2 introduces special relativity. The principle concepts of Einstein’s axioms, relative simultaneity, the space-time interval, Lorentz contraction and time dilation are neatly presented. Wald emphasises the geometric way of thing which is paraphrased as “it is all in the metric”. With this in mind, geodesics in Minkowski space-time are discussed and the conclusion is drawn in special relativity the space-time is flat .

General relativity is the subject of Chapter 3. Wald discusses why Newtonian gravity cannot be directly incorporated in to special relativity. The key trouble is the notion of relative simultaneity and instantaneous interactions. The solution is that equivalence principle strongly suggest that space-time is not flat. Wald then moves on to discuss the Einstein field equations, the bending of light, and the gravitational red shift.

Chapter 4 discusses the implications of general relativity for cosmology. Principally it is argued that the Universe must have started from a singular point and that the “Big Bang” is rather unavoidable in the the context of classical general relativity. Wald describes the large scale structure of the Universe, the “Big Bang” and Hubble’s law. In the final part he discusses singularity theorems and questions if we should take singularities seriously? Only quantum gravity will really shed light on this…

Chapter 5 presents a walk through the evolution of the Universe. Evidence for why we think the Big Bang is a good theory is presented here. For example the CMBR and the cosmic abundance of deuterium.

Stella evolution up to white dwarfs and neutron stars is the subject of Chapter 6. Wald discusses stellar birth, the continued evolution of stars, teh electron degeneracy pressure and white dwarfs, supernovae and neutron stars.

The gravitational collapse to form black holes is the topic of Chapter 7. The basic structure of black holes is presented as is the cosmic censorship hypothesis and the no-hair theorem. Due to the singularity theorems of Penrose and Hawking, and other works it is generally accepted that complete gravitational collapse will always result in a black hole.

Chapter 8 discusses the Penrose process of energy extraction from a rotating black hole. Wald discusses the notion of ennergy-momentum in special and general relativity. The complications of what we mean by energy in general relativity are highlighted. The Ergosphere of a rotating black hole is described as is the Penrose process and the energy extraction limits.

The astrophysics of black holes is the subject of Chapter 9. Wald discusses the proposed mechanisms of black hole production: collapse of a massive enough star, collapse of a cluster of stars and primordial black holes. Wald then discusses gravitational lensing, gravitational radiation and X-ray sources.

Chapter 10 discusses particle creation near a black hole and Hawking radiation. The consequence for conservation laws of black hole evaporation are discussed as is the strong link with thermodynamics.

We have learnt a lot since the 1977 edition and also the 1992 edition about observation cosmology and the deep link between black holes and thermodynamics. That said, the book is a wonderful expose to these deep ideas in a way that is rather accessible.

As a note, I own the first edition from 1977 and so based the above review on that. From what I can tell the second edition is very similar but the numbers are updated.

Paperback: 164 pages
Publisher: University of Chicago Press; 2nd Revised edition edition (1 Mar 1992)
Language English
ISBN-10: 0226870294
ISBN-13: 978-0226870298

Metaphysics: not science

Metaphysics is a dark ocean without shores or lighthouse, strewn with many a philosophic wreck.

Immanuel Kant

Metaphysics is really the branch of philosophy that contemplates the questions of existence, being, the origin of the Universe and similar questions. Unfortunately, the term has also been perverted to mean spiritualism, magic and “experiences beyond physics”.

Let us look at the dictionary definition:

  1. the branch of philosophy that treats of first principles, includes ontology and cosmology, and is intimately connected with epistemology.
  2. philosophy, especially in its more abstruse branches.
  3. the underlying theoretical principles of a subject or field of inquiry.

which we adapt from Dictionary.com

Why it is not science

On the face of it metaphysics seem to be very similar to science. Both subjects want to understand the natural world around us.

The big difference is that science is based on empirical evidence. Science is about exploring the world around us and putting our theories to the test by making empirical predictions. A theory is only scientific if it, at least in principle, makes predictions that we can test.

This is very closely related to the scientific method, which serves as a guideline to scientific thinking. Simplified the scientific method is

  1. Observation: use your experience of the world. Consider some phenomena.
  2. Theory: make some mathematical theory that explains the said phenomena.
  3. Prediction: use your mathematical theory to make predictions beyond the initial phenomena.
  4. Test: you now look for the predicted phenomena. If you don’t find it you go back to step 2.

The above is of course over simplified and idealistic. The point is one has to make clear predictions that can be tested.

Metaphysics fails here

Metaphysics is not constrained in this way. Metaphysical ideas cannot usually be put to the test via empirical evidence. This means they cannot be falsified. Importantly this means that differing positions in metaphysics cannot be supported or refuted based on experimental evidence.

Therefore, metaphysics requires some belief. You can argue a metaphysical position based on your opinion and maybe some philosophical consequences of this position. However, you could never appeal to experimental or observational evidence. If you could, it would be science!

The lesson for us all

So, when people make claims that they have a theory of everything or a theory of the atom based on high school mathematics or any thing similar you must ask yourself “is it science?”

By this I mean they should have a mathematical framework in which one can make calculations of physical phenomena that can, at least in principle be tested.

If this is not the case then at best it is metaphysics, at worse pseudoscience.

When he to whom one speaks does not understand, and he who speaks himself does not understand, that is metaphysics.

Voltaire

Professor Higgs receives award

Professor Peter Higgs has been awarded the the Edinburgh Award 2011. The award is organised by the City of Edinburgh Council. The recipients are nominated by the citizens of Edinburgh for their outstanding contribution to the city.

It was back in 1964 that Higgs developed the theory of spontaneous symmetry breaking in the context of particle physics. The Higgs boson is an important, but as of yet undiscovered component of the standard model of particle physics. CERN in 2011 narrowed down the possible mass of the Higgs boson and it is hoped that a proper discovery will be made this year.

The Edinburgh University news report can be found here.

Professor Higgs website can be found here.

The BBC news report can be found here.

Superluminal neutrinos, or a faulty cable?

flasks

We all remember the hype and controversy that followed after the OPERA collaboration at CERN released their report saying that they measured neutrinos travelling faster than the speed of light. The report can be found here.

The OPERA collaboration how identified a rather mundane possible solutions to this…

CERN has released a statement to confirm that the OPERA collaboration has identified a feature of its experiment that could explain its puzzling superluminal-neutrino discovery – a faulty optical fibre. The collaboration is now investigating this, and one other potential source of error, and it plans to carry out new experimental runs in May.

James Dacey is multimedia projects editor for Physics World

There now appears two potential faults with the experiment. First is a faulty optical cable which transmits data in the experiment. Second there maybe issues with the way the GPS systems were synchronised giving an over estimation of the distance travelled by the neutrinos.

Looks like Jim Al-Khalili will not have to eat his boxer short live on TV. Unless he wants to that is!

See the Physics World report here.

See the CERN news report here.

UK research in physics now second in the world

The UK has overtaken the US in terms of the quality of physics-research output, according to a new report carried out by Evidence, which is owned by information-services provider Thomson Reuters. The report, Bibliometric evaluation and international benchmarking of the UK’s physics research, states that the UK is now second to Canada when ranked on the quality of research papers, measured as the average number of times that such papers are cited.

Michael Banks, news editor of Physics World.

For a relatively small country the United Kingdom of Great Britain and Northern Ireland (to use the full name) does rather well in the impact of science research.

 

You can read the full Physics World news report  here.

Random thoughts on mathematics, physics and more…