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100 Years of Relativity Space-Time Structure: Einstein and Beyond ...

100 Years of Relativity Space-Time Structure: Einstein and Beyond ...

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PREFACEThe goal <strong>of</strong> this volume is to describe how our underst<strong>and</strong>ing <strong>of</strong> space-timestructure has evolved since <strong>Einstein</strong>’s path-breaking 1905 paper on specialrelativity <strong>and</strong> how it might further evolve in the next century.Preoccupation with notions <strong>of</strong> <strong>Space</strong> (the Heavens) <strong>and</strong> <strong>Time</strong> (theBeginning, the Change <strong>and</strong> the End) can be traced back to at least 2500years ago. Early thinkers from Lao Tsu in China <strong>and</strong> Gautama Buddhain India to Aristotle in Greece discussed these issues at length. Over centuries,the essence <strong>of</strong> Aristotle’s commentaries crystallized in the Westernconsciousness, providing us with mental images that we commonly use.We think <strong>of</strong> space as a three-dimensional continuum which envelops us.We think <strong>of</strong> time as flowing serenely, all by itself, unaffected by forces inthe physical universe. Together, they provide a stage on which the drama <strong>of</strong>interactions unfolds. The actors are everything else — stars <strong>and</strong> planets, radiation<strong>and</strong> matter, you <strong>and</strong> me. In Newton’s h<strong>and</strong>s, these ideas evolved <strong>and</strong>acquired a mathematically precise form. In his masterpiece, the Principia,Newton spelled out properties <strong>of</strong> space <strong>and</strong> the absolute nature <strong>of</strong> time. ThePrincipia proved to be an intellectual tour de force that advanced Sciencein an unprecedented fashion. Because <strong>of</strong> its magnificent success, the notions<strong>of</strong> space <strong>and</strong> time which lie at its foundations were soon taken to be obvious<strong>and</strong> self-evident. They constituted the pillars on which physics rested forover two centuries.It was young <strong>Einstein</strong> who overturned those notions in his paper onspecial relativity, published on 26th September 1905 in Annalen der Physik(Leipzig). Lorentz <strong>and</strong> Poincaré had discovered many <strong>of</strong> the essential mathematicalunderpinnings <strong>of</strong> that theory. However, it was <strong>Einstein</strong>, <strong>and</strong> <strong>Einstein</strong>alone, who discovered the key physical fact — the Newtonian notion<strong>of</strong> absolute simultaneity is physically incorrect. Lorentz transformations<strong>of</strong> time intervals <strong>and</strong> spatial lengths are not just convenient mathematicalways <strong>of</strong> reconciling experimental findings. They are physical facts. Newton’sassertion that the time interval between events is absolute <strong>and</strong> observerindependentfails in the real world. The Galilean formula for transformation<strong>of</strong> spatial distances between two events is physically incorrect. What seemedobvious <strong>and</strong> self-evident for over two centuries is neither. Thus, the modelv

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