The Discovery of Dynamics: A Study from a Machian Point of View of the Discovery and the Structure of Dynamical TheoriesEver since Newton created dynamics, there has been controversy about its foundations. Are space and time absolute? Do they form a rigid but invisible framework and container of the universe? Or are space, time, and motion relative? If so, does Newton's 'framework' arise through the influence of the universe at large, as Ernst Mach suggested? Einstein's aim when creating his general theory of relativity was to demonstrate this and thereby implement 'Mach's Principle'. However, it is widely believed that he achieved only partial success. This question of whether motion is absolute or relative has been a central issues in philosophy; the nature of time has perennial interest. Current attempts to create a quantum description of the whole universe keep these issues at the cutting edge of modern research. Written by the world's leading expert on Mach's Principle, The Discovery of Dynamics is a highly original account of the development of notions about space, time, and motion. Widely praised in its hardback version, it is one of the fullest and most readable accounts of the astronomical studies that culminated in Kepler's laws of planetary motion and of the creation of dynamics by Galileo, Descartes, Huygens, and Newton. Originally published as Absolute or Relative Motion?, Vol. 1: The Discovery of Dynamics (Cambridge), The Discovery of Dynamics provides the technical background to Barbour's recently published The End of Time, in which he argues that time disappears from the description of the quantum universe. |
From inside the book
Results 1-5 of 78
Page 19
... move , is always at some quite definite point . All the relations of Euclidean geometry hold in the block ; above ... moving at a particular time at a certain speed in a certain direction . Newton specifically introduced the concepts of ...
... move , is always at some quite definite point . All the relations of Euclidean geometry hold in the block ; above ... moving at a particular time at a certain speed in a certain direction . Newton specifically introduced the concepts of ...
Page 22
... move in the direction of F at speed equal to F / m . The resultant motion is obtained by the law of vector addition . We shall express the result first in terms of velocities . The first tendency - to continue with unchanged momentum M ...
... move in the direction of F at speed equal to F / m . The resultant motion is obtained by the law of vector addition . We shall express the result first in terms of velocities . The first tendency - to continue with unchanged momentum M ...
Page 30
... moving frame , bodies that move inertially in the absolute frame still appear to move uniformly and along straight lines . Thus , by examining the motion of bodies that move purely inertially we come to a rather surprising conclusion ...
... moving frame , bodies that move inertially in the absolute frame still appear to move uniformly and along straight lines . Thus , by examining the motion of bodies that move purely inertially we come to a rather surprising conclusion ...
Page 31
... moving frame . But we have already seen that , by pure mathematics , the accelerations are the same in the two ... moving frame means that we merely look at the interactions in system A from a frame moving with velocity --V relative to ...
... moving frame . But we have already seen that , by pure mathematics , the accelerations are the same in the two ... moving frame means that we merely look at the interactions in system A from a frame moving with velocity --V relative to ...
Page 32
... moves uniformly forwards in a right line without any circular motion . ' This property is what is now called the ... move around the sun relative to the distant stars . In conjunction with Newton's law of gravitation , this motion ...
... moves uniformly forwards in a right line without any circular motion . ' This property is what is now called the ... move around the sun relative to the distant stars . In conjunction with Newton's law of gravitation , this motion ...
Contents
LVIII | 365 |
LIX | 378 |
LX | 384 |
LXI | 396 |
LXII | 402 |
LXIII | 406 |
LXIV | 409 |
LXV | 420 |
XIII | 70 |
XIV | 74 |
XV | 77 |
XVI | 84 |
XVII | 93 |
XVIII | 100 |
XIX | 104 |
XXI | 110 |
XXII | 112 |
XXIII | 117 |
XXIV | 118 |
XXV | 122 |
XXVI | 128 |
XXVII | 139 |
XXVIII | 141 |
XXIX | 143 |
XXX | 149 |
XXXI | 155 |
XXXII | 159 |
XXXIII | 175 |
XXXIV | 183 |
XXXV | 191 |
XXXVI | 193 |
XXXVII | 196 |
XXXVIII | 203 |
XXXIX | 209 |
XL | 214 |
XLI | 221 |
XLII | 223 |
XLIII | 227 |
XLIV | 246 |
XLV | 252 |
XLVI | 258 |
XLVII | 264 |
XLVIII | 273 |
XLIX | 283 |
LI | 292 |
LII | 301 |
LIII | 322 |
LIV | 335 |
LV | 344 |
LVI | 352 |
LVII | 359 |
LXVI | 425 |
LXVII | 432 |
LXVIII | 435 |
LXIX | 437 |
LXX | 440 |
LXXI | 451 |
LXXII | 455 |
LXXIII | 457 |
LXXIV | 462 |
LXXV | 473 |
LXXVI | 476 |
LXXVII | 478 |
LXXVIII | 483 |
LXXIX | 495 |
LXXX | 498 |
LXXXI | 502 |
LXXXII | 503 |
LXXXIV | 515 |
LXXXV | 528 |
LXXXVI | 534 |
LXXXVII | 539 |
LXXXVIII | 546 |
LXXXIX | 556 |
XC | 566 |
XCI | 598 |
XCII | 605 |
XCIII | 609 |
XCIV | 617 |
XCV | 623 |
XCVI | 628 |
XCVII | 639 |
XCVIII | 645 |
XCIX | 646 |
C | 654 |
CI | 662 |
CII | 668 |
CIII | 672 |
CIV | 676 |
CV | 690 |
CVI | 697 |
CVII | 699 |
725 | |
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Common terms and phrases
absolute space acceleration actually Almagest angle appears apsides area law Aristotelian Aristotle Aristotle's Astronomia Nova astronomy body Brahe Cartesian centre centrifugal force Chap circle circular motion clearly collision concept of motion Copernican Copernicus Copernicus's deferent defined definition Descartes described determined Dialogo discovery of dynamics discussion distance diurnal motion earth eccentricity ecliptic effect Einstein ellipse epicycle epicycle-deferent equal equant explain fact frame of reference Galilean invariance Galileo geometry gravity heavens Hipparchus Huygens Ibid idea important inertial motion Kepler kinematic law of inertia laws of motion Mach Mach's Mach's Principle Machian mass mathematical matter moon Motu move nature Newton Newtonian dynamics observations orbit passage phenomena philosophical physical planetary motions planets position precise Principia principle problem Ptolemaic system Ptolemy Ptolemy's quantity rectilinear relative revolution rotation Scholium significant solar speed sphere stars terrestrial theory things Third Law uniform motion universe velocity
Popular passages
Page 26 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
Page ix - I wish we could derive the rest of the phenomena of Nature by the same kind of reasoning from mechanical principles, for I am induced by many reasons to suspect that they may all depend upon certain forces by which the particles of bodies, by some causes hitherto unknown, are either mutually impelled towards one another, and cohere in regular figures, or are repelled and recede from one another.