curvature of space
https://plus.maths.org/content/taxonomy/term/488
enKissing the curve – manifolds in many dimensions
https://plus.maths.org/content/kissing-curve-manifolds-many-dimensions
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Rachel Thomas </div>
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<p>Following on from our previous article about curvature of lines and surfaces, we now move up to curvature of their higher dimensional equivalent – manifolds.</p>
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<p>A kale leaf is crinkled up around its edge.</p>
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Picture a curved line. That's not so hard – I'm sure you're already
imagining a smoothly curving line drawn on a blank white page, perhaps
a circle, or a sine curve wiggling up and down across the page.
</p><p><a href="https://plus.maths.org/content/kissing-curve-manifolds-many-dimensions" target="_blank">read more</a></p>https://plus.maths.org/content/kissing-curve-manifolds-many-dimensions#commentscurvaturecurvature of spacemanifoldTue, 23 Jun 2015 13:10:12 +0000Rachel6379 at https://plus.maths.org/contentWhat is space?
https://plus.maths.org/content/what-space
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Marianne Freiberger </div>
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<p>Space is the stage on which physics happens. It's unaffected by what happens in it and it would still be there if everything in it disappeared. This is how we learn to think about space at school. But the idea is as novel as it is out-dated.</p>
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<p><em>In the latest poll of our <a href="https://plus.maths.org/content/science-fiction-science-fact-reports-frontiers-physics">Science fiction, science fact project</a> you told us that you wanted to know an answer to this question. So we went to speak to Francesca Vidotto and George Ellis to find out. Click <a href="https://plus.maths.org/content/science-fiction-science-fact-what-space">here</a> to see other articles exploring this question.</em></p><p><a href="https://plus.maths.org/content/what-space" target="_blank">read more</a></p>https://plus.maths.org/content/what-space#commentsFrontiers of physicsmathematical realityblack holecurvature of spacegeneral relativitygravityPlanck unitquantum gravityquantum mechanicsquantum physicsrelativityspacetimeTue, 16 Apr 2013 14:08:03 +0000mf3445881 at https://plus.maths.org/contentHidden dimensions
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Marianne Freiberger </div>
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<p>That geometry should be relevant to physics is no surprise — after all, space is the arena in which physics happens. What is surprising, though, is the extent to which the geometry of space actually determines physics and just how exotic the geometric structure of our Universe appears to be. <em>Plus</em> met up with mathematician Shing-Tung Yau to find out more.</p> </div>
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<p>Shing-Tung Yau.</p>
</div><p>That geometry should be relevant to physics is no surprise — after all, space is the arena in which physics happens. What is surprising, though, is the extent to which the geometry of space actually determines physics and just how exotic the geometric structure of our Universe appears to be. </p><p><a href="https://plus.maths.org/content/hidden-dimensions" target="_blank">read more</a></p>https://plus.maths.org/content/hidden-dimensions#commentsmathematical realitycalabi-yau manifoldcurvaturecurvature of spacedimensiongeneral relativitygravitystring theoryTue, 21 Dec 2010 15:38:56 +0000mf3445388 at https://plus.maths.org/contentNo place like home for Martin Rees
https://plus.maths.org/content/no-place-home-martin-rees
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The Plus Team </div>
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Astronomer Royal <b>Sir Martin Rees</b> gives <i>Plus</i> a whistlestop tour of some of the more extraordinary features of our cosmos, and explains how lucky we are that the universe is the way it is. </div>
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<p>Martin Rees with Stephen Hawking at Hawking's birthday party <font size="-2">[Photo and copyright Anna N. Zytkow]</font></p><p><a href="https://plus.maths.org/content/no-place-home-martin-rees" target="_blank">read more</a></p>https://plus.maths.org/content/no-place-home-martin-rees#comments18Big Bangcurvature of spacedark matterenergySat, 01 Dec 2001 00:00:00 +0000plusadmin2197 at https://plus.maths.org/contentCatching waves with Kip Thorne
https://plus.maths.org/content/catching-waves-kip-thorne
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What happens when one black hole meets another? <b>Professor Kip Thorne</b> shows us how to eavesdrop on these cosmic events by watching for telltale gravitational waves. </div>
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<p><em>Kip Thorne has been at the forefront of black hole cosmology since the early 1960s, and currently heads one of the world's leading groups working in relativistic astrophysics. An important emphasis of his research is on black holes and gravitational waves, and developing the mathematics necessary to analyse these objects.</em></p>
<p><em>Professor Thorne gave a talk on "Warping Spacetime" and Rachel Thomas from the <i>Plus</i> team went along and spoke with him about it afterwards.</em><br clear="all" /></p><p><a href="https://plus.maths.org/content/catching-waves-kip-thorne" target="_blank">read more</a></p>https://plus.maths.org/content/catching-waves-kip-thorne#comments18Big Bangblack holecosmic microwave background radiationcurvature of spacegravitational wavegravitational wave detectorgravityinterferencelaser interferometrySchwarzchild singularitySat, 01 Dec 2001 00:00:00 +0000plusadmin2199 at https://plus.maths.org/contentHappy Birthday Stephen Hawking!
https://plus.maths.org/content/happy-birthday-stephen-hawking
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This issue of <i>Plus</i> is a special, marking the occasion of Stephen Hawking's 60th birthday. Plus attended his <a href="http://www.damtp.cam.ac.uk/user/stephen60">Birthday Conference</a> in Cambridge, where we interviewed some of the world's most influential mathematicians and physicists. </div>
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<p>"Being born 300 years after Galileo's death and taking up the Lucasian chair in mathematics 310 years after Newton, Stephen Hawking was numerologically well prepared for his successes and achievements", said Sir Alec Broers, the Vice Chancellor of Cambridge University, in his introduction to the Stephen Hawking 60th Birthday symposium.<p><a href="https://plus.maths.org/content/happy-birthday-stephen-hawking" target="_blank">read more</a></p>https://plus.maths.org/content/happy-birthday-stephen-hawking#commentsBig Bangblack holecosmologycurvature of spacegeneral relativityGrand Unified Theorygravityquantum mechanicsrelativitytime travelSat, 01 Dec 2001 00:00:00 +0000plusadmin2774 at https://plus.maths.org/contentMathematical mysteries: Strange Geometries
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Helen Joyce </div>
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<p>The famous mathematician Euclid is credited with being the first person to axiomatise the geometry of the world we live in - that is, to describe the geometric rules which govern it. Based on these axioms, he proved theorems - some of the earliest uses of proof in the history of mathematics.</p>
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<h2>Euclidean Geometry</h2>
<p>The famous mathematician Euclid is credited with being the first person to axiomatise the geometry of the world we live in - that is, to describe the geometric rules which govern it. Based on these axioms, he proved theorems - some of the earliest uses of proof in the history of mathematics. Euclid's work is discussed in detail in <a href="/issue7/features/proof1/index.html">The Origins
of Proof</a>, from Issue 7 of <i>Plus</i>.</p><p><a href="https://plus.maths.org/content/mathematical-mysteries-strange-geometries" target="_blank">read more</a></p>https://plus.maths.org/content/mathematical-mysteries-strange-geometries#comments18curvaturecurvature of spaceescherEuclid's ElementsEuclidean geometryflatnesshyperbolic geometryMathematical mysteriesMercator projectionspherical geometrytrigonometrySat, 01 Dec 2001 00:00:00 +0000plusadmin4754 at https://plus.maths.org/content