Properties of expanding universes
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Some implications and consequences of the expansion of the universe are examined. In Chapter 1 it is shown that this expansion creates grave difficulties for the Hoyle-Narlikar theory of gravitation. Chapter 2 deals with perturbations of an expanding homogeneous and isotropic universe. The conclusion is reached that galaxies cannot be formed as a result of the growth of perturbations that were initially small. The propagation and absorption of gravitational radiation is also investigated in this approximation. In Chapter 3 gravitational radiation in an expanding universe is examined by a method of asymptotic expansions. The 'peeling off' behaviour and the asymptotic group are derived. Chapter 4 deals with the occurrence of singularities in cosmological models. It is shown that a singularity is inevitable provided that certain very general conditions are satisfied.
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This thesis has been made openly available with the kind permission of Professor Stephen Hawking.
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Properties of Expanding Universes
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Stephen Hawking’s Ph.D. Thesis, “Properties of Expanding Universes,” Now Free to Read/Download Online
in Physics , Science | October 24th, 2017 8 Comments
Image by NASA, via Flickr Commons
Imagine being Stephen Hawking’s dissertation advisor? Not that most of us can put ourselves in the shoes of eminent Cambridge physicist Dennis Sciama … but imagine a student succeeding so profoundly, after having overcome such remarkable difficulty, to become the celebrated Stephen Hawking ? One would feel immensely proud, I’d guess, and maybe just a little intimidated. Some graduate-level professors might even feel threatened by such a student. It’s doubtful, however, that Sciama—who signed off on Hawking’s thesis in 1966 and died in 1999—felt this way.
As F.R. Ellis and Roger Penrose write , when Hawking announced a significant finding about black holes in 1974, Sciama “quickly recognized the importance… hailing it as initiating a new revolution in our understanding.” Despite his portrayal by David Thewlis as “a kind of authoritarian gatekeeper” in the Hawking biopic The Theory of Everything , Sciama “was much more than that picture suggests,” writes another of his highly accomplished mentees, Adrian Melott ; “he was a superb mentor who brought out the best in his students.” Ellis and Penrose, themselves esteemed scientists strongly influenced by Sciama, write of his “astonishing succession of research students,” three of whom became fellows of the Royal Society .
I mention these names because they are just a few of the many people who inspired, challenged, and guided Hawking, much of whose fame rests on his bestselling popular cosmology, A Brief History of Time . While he may be talked of as a lone eccentric singularity whose mind operates above our mortal plane, like every scientist, he developed in a community that includes many such minds. The observation in no way diminishes Hawking’s accomplishments–it might, ideally, spur those of us with an interest in his work to look at how it developed in conversation and debate with others, like eminent Cambridge physicist Fred Hoyle .
We can begin to do that now by going back to Hawking’s graduate days and reading his doctoral thesis, which has been made available for free download by the Cambridge University Library. “ Properties of Expanding Universes ” has proven so popular that it crashed the library web site, with more than 60,000 views yesterday. By contrast, “other popular theses might have 100 views per month,” says Stuart Roberts, deputy head of research communications at Cambridge.
In a statement accompanying the dissertation’s release , Hawking matter-of-factly situates himself in a vast community of “great” minds:
By making my PhD thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos. Anyone, anywhere in the world should have free, unhindered access to not just my research, but to the research of every great and enquiring mind across the spectrum of human understanding.
Should we have such open access, all of us could follow the debates across academic projects, learn how the most sophisticated views of the universe’s nature get formulated and refined. However, we’d probably also find that few other physicists express themselves with as much clarity as Hawking. Whether or not we understand his scientific explanations, we can understand his prose, and his directness of expression has won him millions of readers who may have never have otherwise read any theoretical physics. See the first paragraph of Hawking’s introduction below:
The idea that the universe is expanding is of recent origin. All the early cosmologies were essentially stationary and even Einstein whose theory of relativity is the basis for almost all modern developments in cosmology, found it natural to suggest a static model of the universe. However there is a very grave difficulty associated with a static model such as Einstein’s which is supposed to have existed for an infinite time. For, if the stars had been radiating energy at their present rates for an infinite time, they would have needed an infinite supply of energy. Further, the flux of radiation now would be infinite. Alternatively, if they had only a limited supply of energy, the whole universe would by now have reached thermal equilibrium which is certainly not the case. This difficulty was noticed by Olders who however was not able to suggest any solution. The discovery of the recession of the nebulae by Hubble led to the abandonment of static models in favour of ones which were expanding.
Whether the remainder of “ Properties of Expanding Universes ” is as readable may be difficult to determine for a little while. As of the writing of this post, at least, both the original link and a secondary URL hosting a photographed version of the document have ground to a halt. (Update: Pages are serving fairly well again, at least for now.) No doubt many of the visitors are physicists and grad students themselves. But their numbers may be dwarfed by laypeople eager to see Hawking’s peculiar genius first emerge into the world, from a community of similarly brilliant cosmologists.
Related Contents:
R ead John Nash’s Super Short PhD Thesis with 26 Pages & 2 Citations: The Beauty of Inventing a Field
Stephen Hawking’s Lectures on Black Holes Now Fully Animated with Chalkboard Illustrations
Stephen Hawking’s New Lecture, “Do Black Holes Have No Hair?,” Animated with Chalkboard Illustrations
Read John Nash’s Super Short PhD Thesis with 26 Pages & 2 Citations: The Beauty of Inventing a Field
The Big Ideas of Stephen Hawking Explained with Simple Animation
Josh Jones is a writer and musician based in Durham, NC. Follow him at @jdmagness
by Josh Jones | Permalink | Comments (8) |
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Comments (8), 8 comments so far.
There could not have been a singularity in the very beginning bc it would have been a single particle which could not explode without having an influence by another particle. That singularity particle would also have to have had an unlimited lifespan, up until its’ explosion.The Big Bang caused by two or more particles colliding did not create space. Time then came into existence as the particles and subparticles moved away from each other, hence, time is relative to particles in motion in space.
I need pdf copy of STEPHEN HAWKINGS thesis… Thank you
Respected Sir / Madam, If possible, Pl. send me pdf version of STEPHEN HAWKINGS thesis work.
Thank you for your time and courtesy.
With regards, V.Subburam
Download links:
12Mb https://www.repository.cam.ac.uk/bitstream/handle/1810/251038/PR-PHD-05437_CUDL2017-reduced.pdf
32Mb https://www.repository.cam.ac.uk/bitstream/handle/1810/251038/PR-PHD-05437.pdf
72 Mb https://www.repository.cam.ac.uk/bitstream/handle/1810/251038/PR-PHD-05437.pdf
Yes time is between starting and ending. As per Theosophical literature, One became two, and three. i am unable to agree with the first sentyence of your comment. One particle became two, and 3 to 4, 4 to 6 . so a single particle could explode having an influence by another particle ,
Jyotirmoy Das says: November 11, 2017 at 1306 H Respected Sir / Madam, If possible, Pl. send me pdf version of STEPHEN HAWKINGS thesis work.
With regards, Jyotirmoy Das
One particle cannot split without being influenced to do so by another particle. Explain to me how the only particle in existence can split without having been influenced to do so. A true singularity would be a lone particle in the complete absence of any other particles.
can i have JOHN Hawkins research doc in PDF?
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Treasures of the Library : Properties of expanding universes / Stephen Hawking
Hawking, stephen, 1942-, treasures of the library.
<p style='text-align: justify;'>Some implications and consequences of the expansion of the universe are examined. In Chapter 1 it is shown that this expansion creates grave difficulties for the Hoyle-Narlikar theory of gravitation. Chapter 2 deals with perturbations of an expanding homogeneous and isotropic universe. The conclusion is reached that galaxies cannot be formed as a result of the growth of perturbations that were initially small. The propagation and absorption of gravitational radiation is also investigated in this approximation. In Chapter 3 gravitational radiation in an expanding universe is examined by a method of asymptotic expansions. The 'peeling off' behaviour and the asymptotic group are derived. Chapter 4 deals with the occurrence of singularities in cosmological models. It is shown that a singularity is inevitable provided that certain very general conditions are satisfied.</p>
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Stephen Hawking's Cambridge PhD thesis was published online 6 months before he died so anyone can read it
- The University of Cambridge posted Stephen Hawking's PhD thesis online in October.
- It put the document that launched his scientific career in front of a vastly expanded audience.
- Six months later, in March 2018, Hawking died at the age of 76.
- The PhD thesis was submitted when Hawking was 24 years old.
- It examines details of his theory of an expanding universe.
- The document includes hand-written equations and Hawking's signature.
The original version of Stephen Hawking's PhD thesis was made freely available online for the first time six months before he died.
The 119-page document was submitted by Hawking, then a 24-year-old graduate student at the University of Cambridge.
He gave permission for the online publication in October, putting the document in front of a vastly expanded audience.
Its title is "Properties of an Expanding Universe," and in the abstract Hawking promises to examine "some implications and consequences of the expansion of the universe." By page three he is picking holes in Einstein.
An official stamp from Cambridge University dates the document to February 1, 1966, the year Hawking was awarded his doctorate. It is now hosted here, on Cambridge's Apollo catalogue of academic work .
At the time, Hawking was beginning to suffer from the motor neurone disease which would eventually leave him unable to move almost any part of his body.
However, he was at that point still able to write. He signed the thesis several times, and included a hand-written declaration that the document was his own, original work.
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Several pages also feature complicated mathematical equations which were written out by hand.
The document helped launched Hawking's career, and formed the bedrock of his reputation as one of the world's most famous scientists.
Shortly after his thesis was accepted, Hawking became a fellow of Gonville and Caius College at the University of Cambridge. He remained a professor there until his death.
Like all PhD theses, Hawking's work has technically been available ever since it was accepted by Cambridge, so that other scholars could read and cite his work.
However, people wanting to see it would have had to go to Cambridge, or pay the university to receive a copy.
Cambridge was able to make the document publicly available once Hawking gave his personal permission to change the document's status to "Open Access" as part of a wider push by the university to broaden the reach of its academic work.
In a statement accompanying the release, Hawking said he hopes the document will inspire more people to pursue science. He said:
"By making my PhD thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos. Anyone, anywhere in the world should have free, unhindered access to not just my research, but to the research of every great and enquiring mind across the spectrum of human understanding.
"Each generation stands on the shoulders of those who have gone before them, just as I did as a young PhD student in Cambridge, inspired by the work of Isaac Newton, James Clerk Maxwell, and Albert Einstein. It’s wonderful to hear how many people have already shown an interest in downloading my thesis – hopefully they won’t be disappointed now that they finally have access to it."
Editor's note: This article was updated on March 14, 2018, to include details of Hawking's death.
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Stephen Hawking's PhD thesis becomes freely available online, letting anyone see the essay that started it all
Cambridge university hopes that it can encourage other people to upload and make available their work, article bookmarked.
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You can finally take a peek into the mind of one of the greatest students in the world: Stephen Hawking, and his PhD thesis.
The University of Cambridge has long looked after the doctorate presented by the young Professor Hawking, and the work that would go on to make him famous.
Now, anyone anywhere can download and look at a digitised version of the thesis – complete with Mr Hawking's own hand-written signature. But there's no guarantee that all of them will actually understand it: the thesis' title is 'Properties of expanding universes' and it continues in a similarly mind-blowing but difficult vein throughout.
Nasa's most stunning pictures of space
At the time of writing the paper, Professor Hawking was just a 24-year-old postgraduate student in Cambridge. But it began a process that would see him become the most famous scientist in the world – and the beginnings of much of that work is contained within the paper.
- Stephen Hawking has hit back at Jeremy Hunt once again over NHS
The university said the thesis is by far the most popular in its system, with even the internal catalogue page receiving hundreds of views each month. Now it hopes to let those people and more see it easily, by making it readily available online.
Professor Hawking and his university said they hoped that putting the thesis online would not simply encourage people to read it and think about the ideas it contains, but also to share their own research too.
“By making my PhD thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos," said Professor Hawking. "Anyone, anywhere in the world should have free, unhindered access to not just my research, but to the research of every great and enquiring mind across the spectrum of human understanding.
“Each generation stands on the shoulders of those who have gone before them, just as I did as a young PhD student in Cambridge, inspired by the work of Isaac Newton, James Clerk Maxwell and Albert Einstein. It’s wonderful to hear how many people have already shown an interest in downloading my thesis – hopefully they won’t be disappointed now that they finally have access to it!”
The move came to celebrate Open Access Week, and Arthur Smith, deputy head of scholarly communication at Cambridge, said that he hoped the move would encourage other graduates to put their theses online.
“Open Access enables research. By eliminating the barriers between people and knowledge we can realise new breakthroughs in all areas of science, medicine and technology," he said. "It is especially important for disseminating the knowledge acquired during doctoral research studies. PhD theses contain a vast trove of untapped and unique information just waiting to be used, but which is often locked away from view and scrutiny.
“From October 2017 onwards, all PhD students graduating from the University of Cambridge will be required to deposit an electronic copy of their doctoral work for future preservation. And like Professor Hawking, we hope that many students will also take the opportunity to freely distribute their work online by making their thesis Open Access. We would also invite former University alumni to consider making their theses Open Access, too.”
The thesis can be found on Cambridge's Apollo system , where many other open access works are also stored.
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Stephen Hawking makes his doctoral thesis available online
He's taking advantage of modern technology to spark an interest in space..
Ever wondered how Stephen Hawking saw the universe as a doctoral candidate, when his theories about black holes were just coming into fruition? You don't have to hear about it second-hand -- you can now go straight to the source. The legendary cosmologist has published his 1966 doctoral thesis online for anyone to read, making it available to the public for the first time. Hawking is posting his work in hopes that it'll spark interests in both space itself and sharing research. "I hope to inspire people around the world to look up at the stars and not down at their feet," he said.
Needless to say, it's not light reading. Hawking used the expansion of the universe to challenge an existing gravitational theory (there's no way galaxies could form as a result of early perturbations, he argued) and provide a model of gravitational radiation and expansion that shows space-time singularities are "inevitable."
Whether or not you take a look, there was plenty of pent-up demand. Cambridge University said the paper was the "most-requested" work for its open repository, receiving "hundreds" of requests. It'll also help open the floodgates. All Cambridge graduates will have to offer digital copies of their theses from now on, and they're being encouraged to make them public. Hawking's move might give them the confidence boost they need -- they'll know there's nothing to fear by disclosing their work.
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Stephen Hawking's Famous PhD On Expanding Universe Is Available For Anyone To Read For Free
Stephen Hawking is known worldwide as both a genius and a brilliant mind devoted to progressing everything from the fields of astrophysics to artificial intelligence. And now, you can finally peek into the mind that has helped unravel the mysteries of the universe for decades.
Hawking’s PHD, the one that lit the spark that eventually made him a world renowned scientist has finally gone online for the first time ever. Now, anyone on the world can look it up, titled ‘Properties of the expanding universe’, and see the digitized version of the thesis that made it all happen.
Written in 1966, when Hawking himself was a mere 24-year-old postgraduate student at Cambridge, it’s one of the most famous scientific works of modern times. According to the University, it’s by far the most popular bit of writing in Apollo (their archival system), with just the internal catalogue page receiving hundreds of views each month.
Now, in celebration of Open Access Week 2017, Cambridge has announced that Hawking has provided authorization for the thesis to be posted online and freely accessible to anyone looking to read it. All you have to do is visit the link here and download the PDF , complete with Hawking’s handwritten notes.
Both Hawking and the University say that, by posting the thesis online, they hope to encourage people to read and ponder the material, as well as possibly share their own research. “By making my PhD thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos,” Hawking said.
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Stephen Hawking: Black Holes and other Contributions from one of the Greatest Scientists of Our Time
Stephen Hawking entered the hall of the greatest scientists of all time, alongside names like Galileo, Newton and Einstein. He was a warrior fighting a degenerative disease that deprived him of movement. Hawking made important contributions to understanding the functioning of the Universe by exploring issues such as Black Holes, Wormholes, Space and Time, and the Big Bang. The understanding of the Thermodynamics of the Black Holes caused us to approach the Relativity of Quantum Mechanics, leaving the "Theory of Everything" closer to our reality. Stephen William Hawking was born exactly on the 300th anniversary of Galileo's death and died at the age of 76 on Albert Einstein´s birthday on Pi Day on March 14, 2018.
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Stephen Hawking was known for his groundbreaking work with black holes and relativity, and was the author of several popular science books including 'A Brief History of Time.' He was a Theoretical physicist, professor and author who performed groundbreaking work in physics and cosmology, and whose books helped to make science accessible to everyone. At age 21, while studying cosmology at the University of Cambridge, he was diagnosed with amyotrophic lateral sclerosis (ALS) and because of that he could not move or talk very well. The illness worsened over the years and he was almost completely paralyzed. He used a wheelchair to move, and an Intel computer to talk. He died on 14 March 2018.
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On March 14, 2018, after 76 years of living a purpose driven life, Stephen Hawking left Earth. He wanted to gain a total comprehension of the Universe by questioning his own existence and special characteristics. One of his recommendations was that one should always look up at the stars, not down at his own feet. “Try to make sense of what you see and wonder about what makes the universe exist”, he said. “Be curious.”
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The study has been confined to the contributions and the citations received by the famous British physicist and cosmologist Stephen William Hawking reported in the Google scholar database. It investigates the total number of contributions and the most productive years of the great scientist along with the authorship pattern of the contributions made by him and identifying the publishers, who published maximum number of Hawking's works. The study also aims to identify the core journals producing most of his works and finds Physical Review D followed by Physical letters B publishing most of his works, and reveals maximum number of works are contributed in the year 1996; American Physical Society published maximum works; Single authored papers are predominant;Most of Hawking's works are published in English language. Hawking's books received maximum number of citations followed by research articles. MLodinow is found to be the most prolific author working in collaboration with Hawking followed by Penrose.The priority areas in the subject can be identified from the study and the study helps in re-looking into the papers which find utmost importance by studying their citations.
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Stephen Hawking’s 1966 Thesis Has Crashed Cambridge's Website
Without even trying, Stephen Hawking broke the internet.
Without even trying, Stephen Hawking did what Kim Kardashian tried — unsuccessfully — to do: He broke the internet. In honor of Open Access Week, Cambridge University, Hawking’s alma mater, made his Ph.D. thesis, “ Properties of Expanding Universes ,” available for free on its website. Good luck accessing it, though. Ever since the document went live and media outlets began covering it, browser requests have been timing out.
“Professor Hawking is a phenomenon in his own right, but I don’t think they had expected quite so much interest,” a university spokesperson tells Inverse . “We’ve been overwhelmed in various ways by it.” According to Cambridge sources, around 428,000 people have viewed page, and 60,000 downloaded the thesis. There have been about 300,000 views for the digital library version.
- View Stephen Hawking’s 1966 Thesis in a PDF
The thesis is not an unusually large file size (32 megabytes), but these numbers are surely beyond the kind of traffic that the Cambridge Library website — which serves a student body of just around 20,000 — typically experiences.
“It’s been an awful lot of people actually attempting to have a look at this,” a university spokesperson tells Inverse . Fortunately, the university has taken measures to make it accessible to the public, and as of this article’s publication, the document has successfully loaded, if a bit slowly. Since 5 a.m., there’s been a redirect put in place to improve performance.
“It’s wonderful to hear how many people have already shown an interest in downloading my thesis — hopefully they won’t be disappointed now that they finally have access to it!” Hawking wrote in a statement before the site issues began. “By making my Ph.D. thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos. Anyone, anywhere in the world should have free, unhindered access to not just my research, but to the research of every great and inquiring mind across the spectrum of human understanding,” he said. Hawking’s choice to make his thesis open access comes at a moment when more and more scientists are rebelling against for-profit publishers and pushing for open access to academic research. And the overwhelming demand for his research shows that people want open access.
Hawking’s thesis, which he wrote in 1966, discusses the “implications and consequences of the expansion of the universe .” It represents the beginning of his seminal work on astrophysics and includes the conclusion that galaxies could not form through the growth of small perturbations.
The Cambridge library’s single most requested item, Hawking’s 134-page manuscript used to cost people 65 pounds (about $85) to access, reported the BBC .
If you liked this article, check out this video of Stephen Hawking’s chilling prediction for the future of humanity.
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Stephen Hawking's Ph.D. thesis goes online for the first time
University of Cambridge
image: This is the title page from Hawking's 1966 PhD thesis at the University of Cambridge. view more
Credit: University of Cambridge
The 1966 doctoral thesis by the world's most recognisable scientist is the most requested item in Apollo with the catalogue record alone attracting hundreds of views per month. In just the past few months, the University has received hundreds of requests from readers wishing to download Professor Hawking's thesis in full.
To celebrate Open Access Week 2017, Cambridge University Library's Office of Scholarly Communication has today announced Professor Hawking's permission to make his thesis freely available and Open Access in Apollo . By making his PhD thesis Open Access, anyone can now freely download and read this historic and compelling research by the then little-known 24-year-old Cambridge postgraduate.
Professor Hawking said: "By making my PhD thesis Open Access, I hope to inspire people around the world to look up at the stars and not down at their feet; to wonder about our place in the universe and to try and make sense of the cosmos. Anyone, anywhere in the world should have free, unhindered access to not just my research, but to the research of every great and enquiring mind across the spectrum of human understanding.
"Each generation stands on the shoulders of those who have gone before them, just as I did as a young PhD student in Cambridge, inspired by the work of Isaac Newton, James Clerk Maxwell and Albert Einstein. It's wonderful to hear how many people have already shown an interest in downloading my thesis - hopefully they won't be disappointed now that they finally have access to it!"
Dr Arthur Smith, Deputy Head of Scholarly Communication, said: "Open Access enables research. By eliminating the barriers between people and knowledge we can realise new breakthroughs in all areas of science, medicine and technology. It is especially important for disseminating the knowledge acquired during doctoral research studies. PhD theses contain a vast trove of untapped and unique information just waiting to be used, but which is often locked away from view and scrutiny.
"From October 2017 onwards, all PhD students graduating from the University of Cambridge will be required to deposit an electronic copy of their doctoral work for future preservation. And like Professor Hawking, we hope that many students will also take the opportunity to freely distribute their work online by making their thesis Open Access. We would also invite former University alumni to consider making their theses Open Access, too."
While the University is committed to archiving all theses it is often a struggle gaining permission to open up historic theses. With the online publication of Professor Hawking's thesis, Cambridge now hopes to encourage its former academics - which includes 98 Nobel Affiliates - to make their work freely available to all.
To make more of the University's theses Open Access in Apollo , the Office of Scholarly Communication and Cambridge University Library will digitise the theses of any alumni who wish to make their dissertation Open Access. Interested alumni should contact [email protected]
At a recent event to celebrate the 1,000th research dataset in Apollo , Dr Jessica Gardner, Director of Library Services, said: "Cambridge University Library has a 600-year-old history we are very proud of. It is home to the physical papers of such greats as Isaac Newton and Charles Darwin. Their research data was on paper and we have preserved that with great care and share it openly on line through our digital library.
"But our responsibility now is today's researcher and today's scientists and people working across all disciplines across our great university. Our preservation stewardship of that research data from the digital humanities across the biomedical and that is a core part of what we now do."
Apollo is home to over 200,000 digital objects including 15,000 research articles, 10,000 images, 2,400 theses and 1,000 datasets. The items made available in Apollo have been accessed from nearly every country in the world and in 2017 have collectively received over one million downloads.
Professor Hawking's 1966 doctoral thesis 'Properties of expanding universes' is available in Apollo at https://doi.org/10.17863/CAM.11283 or in high resolution on Cambridge Digital Library at https://cudl.lib.cam.ac.uk/view/MS-PHD-05437/1
For further information about Open Access Week, visit: http://www.openaccessweek.org
10.17863/CAM.11283
Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.
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Theses - Applied Mathematics and Theoretical Physics. Some implications and consequences of the expansion of the universe are examined. In Chapter 1 it is shown that this expansion creates grave difficulties for the Hoyle-Narlikar theory of gravitation. Chapter 2 deals with perturbations of an expanding homogeneous and isotropic universe.
Stephen Hawking's PhD thesis, 'Properties of expanding universes', has. been made freely available to anyone, anywhere in the world after being made accessible via the University of Cambridge's ...
The original version of Stephen Hawking 's PhD thesis has been made freely available online for the first time. The 119-page document was submitted by Hawking, then a 24-year-old graduate student at Trinity Hall college, part of the University of Cambridge. Its title is "Properties of an Expanding Universe", and in the abstract Hawking promises ...
Stephen Hawking. Topics physics, hawking, thesis Collection opensource Language English. Stephen Hawking's 1966 PhD Thesis Addeddate 2017-10-24 21:11:56 Identifier PropertiesOfExpandingUniverses Identifier-ark ... PDF download. download 1 file ...
The University of Cambridge has made Stephen Hawking's 1966 PhD thesis freely available online to anyone wishing to download it. The work, "Properties of expanding universes," was released with ...
Stephen Hawking's Lectures on Black Holes Now Fully Animated with Chalkboard Illustrations. Stephen Hawking's New Lecture, "Do Black Holes Have No Hair?," Animated with Chalkboard Illustrations. Read John Nash's Super Short PhD Thesis with 26 Pages & 2 Citations: The Beauty of Inventing a Field
Some implications and consequences of the expansion of the universe are examined. In Chapter 1 it is shown that this expansion creates grave difficulties for the Hoyle-Narlikar theory of gravitation. Chapter 2 deals with perturbations of an expanding homogeneous and isotropic universe. The conclusion is reached that galaxies cannot be formed as a result of the growth of perturbations that were ...
Stephen Hawking made his PhD Thesis available for all to read on Cambridge University's website - http://www.cam.ac.uk/research/news/step-inside-the-mind-of-the-young ...
The original version of Stephen Hawking's PhD thesis was made freely available online for the first time six months before he died. The 119-page document was submitted by Hawking, then a 24-year ...
Here's Stephen Hawking's 1966 Thesis That Crashed Cambridge's Website. Here's the full PDF. In honor of Open Access Week, Cambridge University, Stephen Hawking's alma mater, made his Ph.D ...
$\begingroup$ There's limited information in "Stephen Hawking: A Life in Science" ... May 28, 2015 at 21:43 $\begingroup$ Direct PDF link. $\endgroup$ - Qmechanic ... Every thesis submitted for a PhD in Cambridge is archived at the Cambridge University Library. They should be able to get you a copy (for a fee).
Stephen Hawking's PhD thesis becomes freely available online, letting anyone see the essay that started it all. Cambridge University hopes that it can encourage other people to upload and make ...
The legendary cosmologist has published his 1966 doctoral thesis online for anyone to read, making it available to the public for the first time. ... Ever wondered how Stephen Hawking saw the ...
Stephen Hawking is known worldwide as both a genius and a brilliant mind devoted to progressing everything from the fields of astrophysics to artificial intelligence. ... All you have to do is visit the link here and download the PDF , complete with Hawking's handwritten notes. Both Hawking and the University say that, by posting the thesis ...
THE STEPHEN HAWKING CONTRIBUTIONS After a lecture given by the brilliant British physicist and mathematician Roger Penrose, Stephen Hawking extended the concepts of the singularity theorem exposed by Penrose, which he had explored in his doctoral thesis. The innovation of the Stephen Hawking's approach lies in how he demonstrated the concept of ...
View Stephen Hawking's 1966 Thesis in a PDF. The thesis is not an unusually large file size (32 megabytes), but these numbers are surely beyond the kind of traffic that the Cambridge Library ...
Stephen Hawking's 1966 dissertation available online. February 2018. The Physics Teacher 56 (3) DOI: 10.1119/1.5025310. Authors: Dan Macisaac. State University of New York Buffalo State. Content ...
PDF | On Jan 1, 2018, Horacio Useche Losada published Mistakes in Mathematical Formalism of the Stephen Hawking's Doctoral Thesis | Find, read and cite all the research you need on ResearchGate
Download. View and download PR-PHD-05437_CUDL2017-reduced.pdf on DocDroid.
Hawking wrote the doctoral thesis titled "Properties of expanding universes" in 1966 when he was 24 years old and gave Cambridge permission to post it to the university's Open Access repository ...
image: This is the title page from Hawking's 1966 PhD thesis at the University of Cambridge. view more Credit: University of Cambridge. The 1966 doctoral thesis by the world's most recognisable ...