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Galilean invariance

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724:, cabins that fall freely in a gravitational field. According to Einstein's thought experiment, a man in such a cabin experiences (to a good approximation) no gravity and therefore the cabin is an approximate inertial frame. However, one has to assume that the size of the cabin is sufficiently small so that the gravitational field is approximately parallel in its interior. This can greatly reduce the sizes of such approximate frames, in comparison to Newtonian frames. For example, an artificial satellite orbiting the Earth can be viewed as a cabin. However, reasonably sensitive instruments could detect "microgravity" in such a situation because the "lines of force" of the Earth's gravitational field converge. 1571: 728:
width and tear it apart in length. In comparison, however, such forces might only be uncomfortable for the astronauts inside (compressing their joints, making it difficult to extend their limbs in any direction perpendicular to the gravity field of the star). Reducing the scale further, the forces at that distance might have almost no effects at all on a mouse. This illustrates the idea that all freely falling frames are locally inertial (acceleration and gravity-free) if the scale is chosen correctly.
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is magnetization density. The electric field is transformed under this transformation when changing frames of reference, but the magnetic field and related quantities are unchanged. An example of this situation is a wire is moving in a magnetic field such as would occur in an ordinary generator or
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are velocities. A consistent transformation will produce the same results when transforming to a new velocity in one step or multiple steps. It is not possible to have a consistent Galilean transformation that transforms both the magnetic and electric fields. There are useful consistent Galilean
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In general, the convergence of gravitational fields in the universe dictates the scale at which one might consider such (local) inertial frames. For example, a spaceship falling into a black hole or neutron star would (at a certain distance) be subjected to tidal forces strong enough to crush it in
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The existence, as well, of infinitely many non-inertial frames, each of which referenced to (and physically determined by) a unique set of spacetime coordinates. Each frame may be of infinite size, but its definition is always determined locally by contextual physical conditions. Any two frames may
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The existence of infinitely many inertial frames. Each frame is of infinite size (the entire universe may be covered by many linearly equivalent frames). Any two frames may be in relative uniform motion. (The relativistic nature of mechanics derived above shows that the absolute space assumption is
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It is this simple but crucial result that implies Galilean relativity. Assuming that mass is invariant in all inertial frames, the above equation shows Newton's laws of mechanics, if valid in one frame, must hold for all frames. But it is assumed to hold in absolute space, therefore Galilean
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Electric field systems are those systems in which the magnetic field in the initial frame of reference is insignificant, but the electric field is strong. When the electric field is dominant and the relative velocity,
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Magnetic field systems are those systems in which the electric field in the initial frame of reference is insignificant, but the magnetic field is strong. When the magnetic field is dominant and the relative velocity,
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be in relative non-uniform motion (as long as it is assumed that this condition of relative motion implies a relativistic dynamical effect – and later, mechanical effect in general relativity – between both frames).
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is polarization density. The magnetic field and free current density are transformed under this transformation when changing frames of reference, but the electric field and related quantities are unchanged
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Rather than freely allowing all conditions of relative uniform motion between frames of reference, the relative velocity between two inertial frames becomes bounded above by the speed of light.
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there is a reaction force; it does work depending on the inertial frame of reference in an opposite way. The total work done is independent of the inertial frame of reference.
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Both theories assume the existence of inertial frames. In practice, the size of the frames in which they remain valid differ greatly, depending on gravitational tidal forces.
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travelling at constant velocity, without rocking, on a smooth sea; any observer below the deck would not be able to tell whether the ship was moving or stationary.
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of an object, and even the change in this energy due to a change in velocity, depends on the inertial frame of reference. The total kinetic energy of an
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the latter does not change with time, so changes with time of the total kinetic energy do not depend on the inertial frame of reference.
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Because the distance covered while applying a force to an object depends on the inertial frame of reference, so depends the
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There are two consistent Galilean transformations that may be used with electromagnetic fields in certain situations.
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of an object also depends on the inertial frame of reference, its change due to a change in velocity does not.
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motor. The transformed electric field in the moving frame of reference could induce current in the wire.
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transformations that may be applied whenever either the magnetic field or the electric field is dominant.
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also depends on the inertial frame of reference: it is the sum of the total kinetic energy in a
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Instead of universal elapsed time, each inertial frame possesses its own notion of elapsed time.
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In comparison, the corresponding statements from special relativity are as follows:
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and the kinetic energy the total mass would have if it were concentrated in the
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The velocity of the particle is given by the time derivative of the position:
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Galilean relativity can be shown as follows. Consider two inertial frames
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Galileo's Daughter: A Historical Memoir of Science, Faith, and Love
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Another differentiation gives the acceleration in the two frames:
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Some of the assumptions and properties of Newton's theory are:
280:. Consider a point object whose position is given by functions 1634: 18: 2264: 1284:, is low, then the following transformation may be useful: 978:, is low, then the following transformation may be useful: 1818:
Exploring Black Holes - Introduction to General Relativity
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There is a universal, or absolute, notion of elapsed time.
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A comparison can be made between Newtonian relativity and
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In all inertial frames, Newton's laws, and gravity, hold.
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today usually refers to this principle as applied to
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Unsourced material may be challenged and 177:Among the axioms from Newton's theory are: 2529: 2310: 2287: 2273: 2265: 1890: 1876: 1868: 664:possible relative forms of uniform motion. 1832: 1830: 1828: 1689:Learn how and when to remove this message 1611: 1609: 1587: 1586: 1580: 1552: 1551: 1540: 1539: 1525: 1520: 1502: 1497: 1492: 1483: 1473: 1472: 1460: 1442: 1437: 1428: 1410: 1405: 1394: 1389: 1371: 1366: 1361: 1352: 1334: 1329: 1320: 1302: 1297: 1293: 1291: 1268: 1262: 1232: 1230: 1208: 1203: 1201: 1177: 1167: 1166: 1154: 1136: 1131: 1122: 1104: 1099: 1090: 1072: 1067: 1056: 1051: 1033: 1028: 1023: 1014: 996: 991: 987: 985: 961: 960: 954: 923: 917: 896: 890: 866: 838: 810: 797: 779: 744: 641:Newton's theory versus special relativity 572: 537: 515: 437: 402: 380: 358: 312: 109:Learn how and when to remove this message 1776: 2007:Letter to the Grand Duchess Christina 720:In special relativity, one considers 670:Two inertial frames are related by a 7: 1759:Galilei-covariant tensor formulation 1667:adding citations to reliable sources 1597:{\displaystyle \rho _{\mathbf {f} }} 47:adding citations to reliable sources 2859:Tolman–Oppenheimer–Volkoff equation 2812:Friedmann–LemaĂźtre–Robertson–Walker 1707:Newton's law of reciprocal actions 1631:Work, kinetic energy, and momentum 14: 2629:Hamilton–Jacobi–Einstein equation 272:is in relative uniform motion to 3107: 3106: 1943:Leaning Tower of Pisa experiment 1639: 1612: 1588: 1553: 1541: 1526: 1522: 1498: 1494: 1484: 1474: 1461: 1439: 1429: 1407: 1395: 1367: 1353: 1331: 1321: 1299: 1233: 1218:{\displaystyle \mathbf {J_{f}} } 1209: 1205: 1178: 1168: 1155: 1133: 1123: 1101: 1091: 1069: 1057: 1053: 1029: 1025: 1015: 993: 971:{\displaystyle v^{\mathbf {r} }} 962: 660:The inertial frames may move in 362:{\displaystyle r'(t)=r(t)-vt.\,} 23: 212:will have position coordinates 34:needs additional citations for 2436:Mass–energy equivalence (E=mc) 715:local Newtonian inertial frame 713:In the appropriate context, a 617: 611: 596: 590: 566: 560: 531: 525: 482: 476: 461: 455: 431: 425: 396: 390: 343: 337: 328: 322: 1: 706:laws of physics are the same. 1999:Letter to Benedetto Castelli 1619:{\displaystyle \mathbf {P} } 1240:{\displaystyle \mathbf {M} } 190:All inertial frames share a 130:inertial frames of reference 2451:Relativistic Doppler effect 3152: 2922:In computational physics: 2446:Relativity of simultaneity 2172:Galileo National Telescope 1840:Electromechanical Dynamics 3104: 2759:Lense–Thirring precession 2341:Doubly special relativity 1225:is free current density, 2619:Post-Newtonian formalism 2609:Einstein field equations 2545:Mathematical formulation 2369:Hyperbolic orthogonality 2136:Galileo's objective lens 1761:(no relation to Galileo) 1730:conservation of momentum 1722:center-of-momentum frame 1604:is free charge density, 767:{\displaystyle T\{*,v\}} 702:In all inertial frames, 2330:Galilean transformation 2321:Principle of relativity 2167:Galileo Galilei Airport 1938:Galilean transformation 1913:Observational astronomy 1790:Oxford University Press 1786:Dynamics and relativity 1749:Absolute space and time 1735:By contrast, while the 697:Lorentz transformations 672:Galilean transformation 168:Galilean transformation 164:Newton's laws of motion 154:Specifically, the term 2415:Lorentz transformation 2014:Discourse on the Tides 1784:McComb, W. 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A physical event in 2883:Weyl−Lewis−Papapetrou 2624:Raychaudhuri equation 2563:Equivalence principle 1815:Taylor and Wheeler's 1621: 1599: 1568: 1279: 1277:{\displaystyle v^{r}} 1252:Electric field system 1242: 1220: 1191: 973: 944:Magnetic field system 934: 932:{\displaystyle v_{2}} 907: 905:{\displaystyle v_{1}} 880: 774:is not consistent if 769: 628: 499: 364: 144:the example of a ship 58:"Galilean invariance" 2924:Numerical relativity 2765:pulsar timing arrays 2178:Astronomers Monument 2131:Galileo's telescopes 2069:Michelagnolo Galilei 1923:Galileo's escapement 1771:Notes and references 1712:Correspondingly the 1663:improve this section 1608: 1579: 1290: 1261: 1229: 1200: 984: 953: 916: 889: 778: 743: 514: 379: 311: 172:Newtonian relativity 43:improve this article 3131:Classical mechanics 2816:Friedmann equations 2710:Hulse–Taylor binary 2672:Gravitational waves 2568:Riemannian geometry 2394:Proper acceleration 2379:Maxwell's equations 2325:Galilean relativity 2148:Galileo thermometer 2021:Discourse on Comets 1991:Letters on Sunspots 1928:Galilean invariance 1765:Superluminal motion 1511: 1380: 1042: 160:Newtonian mechanics 156:Galilean invariance 126:Galilean relativity 122:Galilean invariance 2865:Reissner–Nordström 2783:Brans–Dicke theory 2614:Linearized gravity 2441:Length contraction 2359:Frame of reference 2336:Special relativity 2188:In popular culture 2143:Tribune of Galileo 1975:De motu antiquiora 1792:. pp. 22–24. 1616: 1594: 1563: 1561: 1493: 1362: 1274: 1237: 1215: 1186: 1184: 1024: 968: 929: 902: 875: 764: 647:special relativity 637:relativity holds. 623: 494: 359: 3118: 3117: 2932: 2931: 2911:OzsvĂĄth–SchĂŒcking 2517: 2516: 2499:Minkowski diagram 2456:Thomas precession 2399:Relativistic mass 2262: 2261: 2116:Galileo's paradox 2111:Villa Il Gioiello 1906:Scientific career 1754:Faster-than-light 1699: 1698: 1691: 739:A transformation 722:Einstein's cabins 585: 550: 450: 415: 119: 118: 111: 93: 3143: 3110: 3109: 2893:van Stockum dust 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1726:center of mass 1714:kinetic energy 1697: 1696: 1647: 1645: 1638: 1632: 1629: 1614: 1590: 1585: 1555: 1550: 1543: 1538: 1534: 1528: 1524: 1519: 1516: 1514: 1508: 1505: 1500: 1496: 1491: 1490: 1486: 1482: 1476: 1471: 1467: 1463: 1459: 1456: 1454: 1448: 1445: 1441: 1436: 1435: 1431: 1427: 1424: 1422: 1416: 1413: 1409: 1404: 1403: 1397: 1393: 1388: 1385: 1383: 1377: 1374: 1369: 1365: 1360: 1359: 1355: 1351: 1348: 1346: 1340: 1337: 1333: 1328: 1327: 1323: 1319: 1316: 1314: 1308: 1305: 1301: 1296: 1295: 1271: 1267: 1253: 1250: 1235: 1211: 1207: 1180: 1176: 1170: 1165: 1161: 1157: 1153: 1150: 1148: 1142: 1139: 1135: 1130: 1129: 1125: 1121: 1118: 1116: 1110: 1107: 1103: 1098: 1097: 1093: 1089: 1086: 1084: 1078: 1075: 1071: 1066: 1065: 1059: 1055: 1050: 1047: 1045: 1039: 1036: 1031: 1027: 1022: 1021: 1017: 1013: 1010: 1008: 1002: 999: 995: 990: 989: 964: 959: 945: 942: 926: 922: 899: 895: 874: 869: 865: 861: 858: 855: 852: 849: 846: 841: 837: 833: 830: 827: 824: 821: 818: 813: 809: 805: 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We see that 276:with velocity 198: 197: 193:universal time 188: 184:absolute space 151: 148: 117: 116: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 3148: 3137: 3134: 3132: 3129: 3128: 3126: 3113: 3103: 3097: 3096: 3092: 3090: 3087: 3085: 3082: 3080: 3077: 3075: 3072: 3070: 3067: 3065: 3062: 3060: 3057: 3055: 3052: 3050: 3047: 3045: 3042: 3040: 3037: 3035: 3032: 3030: 3027: 3025: 3022: 3020: 3017: 3015: 3012: 3010: 3007: 3005: 3004:Chandrasekhar 3002: 3000: 2997: 2995: 2992: 2990: 2987: 2985: 2982: 2980: 2977: 2975: 2972: 2970: 2967: 2965: 2964:Schwarzschild 2962: 2960: 2957: 2955: 2952: 2950: 2947: 2945: 2942: 2941: 2939: 2935: 2925: 2921: 2920: 2917: 2914: 2912: 2909: 2907: 2903: 2902: 2899: 2896: 2894: 2891: 2889: 2886: 2884: 2881: 2878: 2874: 2870: 2869: 2866: 2863: 2860: 2857: 2855: 2851: 2850:Schwarzschild 2847: 2846: 2843: 2840: 2838: 2835: 2833: 2830: 2828: 2825: 2823: 2820: 2817: 2813: 2809: 2808: 2806: 2804: 2800: 2794: 2791: 2789: 2786: 2784: 2781: 2780: 2778: 2772: 2766: 2763: 2760: 2756: 2752: 2749: 2747: 2746:Shapiro delay 2744: 2742: 2739: 2736: 2732: 2728: 2725: 2722: 2718: 2715: 2714: 2711: 2708: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2689:collaboration 2686: 2682: 2679: 2677: 2673: 2670: 2669: 2666: 2663: 2661: 2658: 2656: 2655:Event horizon 2653: 2651: 2648: 2647: 2645: 2641: 2635: 2632: 2630: 2627: 2625: 2622: 2620: 2617: 2615: 2612: 2610: 2607: 2605: 2602: 2600: 2599:ADM formalism 2597: 2596: 2594: 2590: 2584: 2581: 2579: 2576: 2574: 2571: 2569: 2566: 2564: 2561: 2560: 2558: 2552: 2546: 2543: 2541: 2538: 2537: 2535: 2531: 2528: 2526: 2520: 2510: 2507: 2505: 2504:Biquaternions 2502: 2500: 2497: 2495: 2492: 2490: 2487: 2486: 2484: 2482: 2478: 2472: 2469: 2467: 2464: 2462: 2459: 2457: 2454: 2452: 2449: 2447: 2444: 2442: 2439: 2437: 2434: 2432: 2431:Time dilation 2429: 2428: 2426: 2422: 2416: 2413: 2412: 2410: 2406: 2400: 2397: 2395: 2392: 2390: 2387: 2385: 2384:Proper length 2382: 2380: 2377: 2375: 2372: 2370: 2367: 2365: 2362: 2360: 2357: 2356: 2354: 2348: 2342: 2339: 2337: 2334: 2331: 2328: 2326: 2322: 2319: 2318: 2316: 2312: 2309: 2307: 2301: 2297: 2290: 2285: 2283: 2278: 2276: 2271: 2270: 2267: 2255: 2253: 2249: 2247: 2245: 2241: 2239: 2237: 2233: 2231: 2229: 2225: 2223: 2221: 2217: 2215: 2213: 2209: 2207: 2205: 2201: 2199: 2197: 2193: 2192: 2190: 2186: 2180: 2179: 2175: 2173: 2170: 2168: 2165: 2161: 2158: 2157: 2156: 2153: 2152: 2149: 2146: 2144: 2141: 2137: 2134: 2132: 2129: 2128: 2127: 2126:Museo Galileo 2124: 2122: 2119: 2117: 2114: 2112: 2109: 2106: 2102: 2101: 2099: 2095: 2088: 2085: 2082: 2081:Maria Celeste 2079: 2076: 2073: 2070: 2067: 2064: 2061: 2060: 2058: 2054: 2047: 2046: 2042: 2039: 2038: 2034: 2031: 2030: 2026: 2023: 2022: 2018: 2015: 2011: 2008: 2004: 2001: 2000: 1996: 1993: 1992: 1988: 1985: 1984: 1980: 1977: 1976: 1972: 1971: 1969: 1965: 1959: 1956: 1954: 1951: 1949: 1946: 1944: 1941: 1939: 1936: 1934: 1931: 1929: 1926: 1924: 1921: 1919: 1916: 1914: 1911: 1910: 1908: 1904: 1900: 1893: 1888: 1886: 1881: 1879: 1874: 1873: 1870: 1853:on 2022-12-20 1849: 1842: 1841: 1833: 1831: 1829: 1825: 1821: 1819: 1812: 1810: 1806: 1801: 1799:0-19-850112-9 1795: 1791: 1787: 1780: 1777: 1770: 1766: 1763: 1760: 1757: 1755: 1752: 1750: 1747: 1746: 1742: 1740: 1738: 1733: 1731: 1728:. Due to the 1727: 1723: 1719: 1715: 1710: 1708: 1705:done. Due to 1704: 1693: 1690: 1682: 1672: 1668: 1664: 1658: 1657: 1653: 1648:This section 1646: 1642: 1637: 1636: 1630: 1628: 1583: 1573: 1548: 1536: 1532: 1517: 1515: 1506: 1504: 1480: 1469: 1465: 1457: 1455: 1446: 1444: 1425: 1423: 1414: 1412: 1391: 1386: 1384: 1375: 1373: 1363: 1349: 1347: 1338: 1336: 1317: 1315: 1306: 1304: 1285: 1269: 1265: 1251: 1249: 1174: 1163: 1159: 1151: 1149: 1140: 1138: 1119: 1117: 1108: 1106: 1087: 1085: 1076: 1074: 1048: 1046: 1037: 1035: 1011: 1009: 1000: 998: 979: 957: 943: 941: 924: 920: 897: 893: 867: 863: 859: 856: 850: 847: 839: 835: 831: 828: 822: 819: 811: 807: 803: 798: 794: 790: 787: 781: 758: 755: 752: 746: 737: 731: 729: 725: 723: 718: 716: 711: 705: 701: 698: 694: 691: 688: 684: 683: 682: 676: 673: 669: 666: 663: 659: 655: 654: 653: 650: 648: 638: 620: 614: 608: 605: 602: 599: 593: 587: 581: 578: 574: 569: 563: 556: 553: 546: 543: 539: 534: 528: 521: 518: 510: 509: 508: 491: 488: 485: 479: 473: 470: 467: 464: 458: 452: 446: 443: 439: 434: 428: 421: 418: 411: 408: 404: 399: 393: 386: 383: 375: 374: 373: 355: 352: 349: 346: 340: 334: 331: 325: 318: 315: 307: 306: 305: 303: 299: 295: 291: 287: 283: 279: 275: 271: 267: 263: 259: 255: 251: 247: 243: 239: 235: 231: 227: 223: 219: 215: 211: 207: 203: 195: 194: 189: 186: 185: 180: 179: 178: 175: 173: 169: 165: 161: 157: 149: 147: 145: 141: 140: 135: 131: 127: 123: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: â€“  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 3094: 2788:Kaluza–Klein 2540:Introduction 2466:Twin paradox 2324: 2254:(2009 novel) 2251: 2246:(2002 opera) 2243: 2235: 2227: 2219: 2211: 2203: 2195: 2176: 2087:Marina Gamba 2043: 2035: 2027: 2019: 1997: 1989: 1981: 1973: 1927: 1855:. Retrieved 1848:the original 1839: 1817: 1785: 1779: 1734: 1711: 1700: 1685: 1679:January 2020 1676: 1661:Please help 1649: 1574: 1286: 1255: 980: 947: 738: 735: 726: 721: 719: 714: 712: 709: 703: 680: 661: 651: 644: 635: 506: 371: 301: 297: 293: 289: 285: 281: 277: 273: 269: 265: 261: 257: 253: 249: 245: 241: 237: 233: 229: 225: 221: 217: 213: 209: 205: 201: 199: 191: 182: 176: 171: 155: 153: 137: 125: 121: 120: 105: 99:January 2008 96: 86: 79: 72: 65: 53: 41:Please help 36:verification 33: 2877:Kerr–Newman 2848:Spherical: 2717:Other tests 2660:Singularity 2592:Formulation 2554:Fundamental 2408:Formulation 2389:Proper time 2350:Fundamental 2238:(1999 book) 2230:(1996 book) 2222:(1975 film) 2214:(1968 film) 2206:(1947 play) 2198:(1943 play) 2029:The Assayer 1978:(1589–1592) 1958:Thermoscope 1820:, Chapter 2 1788:. Oxford : 252:) and time 228:) and time 162:, that is, 150:Formulation 3125:Categories 3029:Zel'dovich 2937:Scientists 2916:Alcubierre 2723:of Mercury 2721:precession 2650:Black hole 2533:Background 2525:relativity 2494:World line 2489:Light cone 2314:Background 2306:relativity 2296:Relativity 2160:spacecraft 2089:(mistress) 2083:(daughter) 1857:2022-08-21 268:. Suppose 69:newspapers 2999:Robertson 2984:Friedmann 2979:Eddington 2969:de Sitter 2803:Solutions 2681:detectors 2676:astronomy 2643:Phenomena 2578:Geodesics 2481:Spacetime 2424:Phenomena 2071:(brother) 1650:does not 1584:ρ 1537:ρ 1533:− 1481:× 1466:− 1392:ρ 1364:ρ 1175:× 857:∗ 829:∗ 820:≠ 788:∗ 753:∗ 600:− 486:− 465:− 347:− 3112:Category 2989:LemaĂźtre 2954:Einstein 2944:PoincarĂ© 2904:Others: 2888:Taub–NUT 2854:interior 2776:theories 2774:Advanced 2741:redshift 2556:concepts 2374:Rapidity 2352:concepts 2065:(father) 2016:" (1616) 2009:" (1615) 1953:Celatone 1743:See also 1737:momentum 1507:′ 1447:′ 1415:′ 1376:′ 1339:′ 1307:′ 1141:′ 1109:′ 1077:′ 1038:′ 1001:′ 557:′ 522:′ 422:′ 387:′ 319:′ 3054:Hawking 3049:Penrose 3034:Novikov 3014:Wheeler 2959:Hilbert 2949:Lorentz 2906:pp-wave 2727:lensing 2523:General 2304:Special 2220:Galileo 2212:Galileo 2097:Related 1671:removed 1656:sources 83:scholar 3095:others 3084:Thorne 3074:Misner 3059:Taylor 3044:Geroch 3039:Ehlers 3009:Zwicky 2827:Kasner 2121:Sector 2056:Family 2048:(1638) 2040:(1632) 2032:(1623) 2024:(1619) 2002:(1613) 1994:(1613) 1986:(1610) 1796:  1575:where 1196:where 885:where 236:, and 142:using 85:  78:  71:  64:  56:  3089:Weiss 3069:Bondi 3064:Hulse 2994:Milne 2898:discs 2842:Milne 2837:Gödel 2694:Virgo 2077:(son) 1967:Works 1851:(PDF) 1844:(PDF) 300:) in 294:and r 90:JSTOR 76:books 3024:Kerr 2974:Weyl 2873:Kerr 2733:and 2687:and 2685:LIGO 1794:ISBN 1703:work 1654:any 1652:cite 912:and 204:and 62:news 3079:Yau 2704:GEO 1665:by 704:all 662:all 292:S' 290:in 282:r' 270:S' 266:t' 258:S' 256:in 254:t' 250:z' 246:y' 242:x' 240:= ( 238:r' 232:in 216:= ( 206:S' 124:or 45:by 3127:: 2753:/ 2719:: 2674:: 1827:^ 1808:^ 649:. 288:) 264:= 248:, 244:, 224:, 220:, 174:. 132:. 2879:) 2875:( 2861:) 2852:( 2818:) 2814:( 2761:) 2757:( 2737:) 2706:) 2683:( 2332:) 2323:( 2288:e 2281:t 2274:v 2107:" 2103:" 2012:" 2005:" 1891:e 1884:t 1877:v 1860:. 1802:. 1692:) 1686:( 1681:) 1677:( 1673:. 1659:. 1613:P 1589:f 1554:r 1549:v 1542:f 1527:f 1523:J 1518:= 1499:f 1495:J 1485:D 1475:r 1470:v 1462:H 1458:= 1440:H 1430:P 1426:= 1408:P 1396:f 1387:= 1368:f 1354:D 1350:= 1332:D 1322:E 1318:= 1300:E 1270:r 1266:v 1234:M 1210:f 1206:J 1179:B 1169:r 1164:v 1160:+ 1156:E 1152:= 1134:E 1124:M 1120:= 1102:M 1092:B 1088:= 1070:B 1058:f 1054:J 1049:= 1030:f 1026:J 1016:H 1012:= 994:H 963:r 958:v 925:2 921:v 898:1 894:v 873:} 868:2 864:v 860:, 854:{ 851:T 848:+ 845:} 840:1 836:v 832:, 826:{ 823:T 817:} 812:2 808:v 804:+ 799:1 795:v 791:, 785:{ 782:T 762:} 759:v 756:, 750:{ 747:T 699:. 674:. 621:. 618:) 615:t 612:( 609:a 606:= 603:0 597:) 594:t 591:( 588:u 582:t 579:d 575:d 570:= 567:) 564:t 561:( 554:u 547:t 544:d 540:d 535:= 532:) 529:t 526:( 519:a 492:. 489:v 483:) 480:t 477:( 474:u 471:= 468:v 462:) 459:t 456:( 453:r 447:t 444:d 440:d 435:= 432:) 429:t 426:( 419:r 412:t 409:d 405:d 400:= 397:) 394:t 391:( 384:u 356:. 353:t 350:v 344:) 341:t 338:( 335:r 332:= 329:) 326:t 323:( 316:r 302:S 298:t 296:( 286:t 284:( 278:v 274:S 262:t 234:S 230:t 226:z 222:y 218:x 214:r 210:S 202:S 196:. 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

Index


verification
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"Galilean invariance"
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JSTOR
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inertial frames of reference
Galileo Galilei
Dialogue Concerning the Two Chief World Systems
the example of a ship
Newtonian mechanics
Newton's laws of motion
Galilean transformation
absolute space
universal time
special relativity
Galilean transformation
Lorentz transformations

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