437:
Listed below are all conversion factors that are useful to convert between all combinations of the SI base units, and if not possible, between them and their unique elements, because ampere is a dimensionless ratio of two lengths such as , and candela (1/683 ) is a dimensionless ratio of two
393:
is the magnitude of this vector, so in geometric units these must all have the dimension of length. We can convert a mass expressed in kilograms to the equivalent mass expressed in metres by multiplying by the conversion factor
1122:
805:
Lobo, Francisco S. N.; Rodrigues, Manuel E.; Silva, Marcos V. de S.; Simpson, Alex; Visser, Matt (2021). "Novel black-bounce spacetimes: Wormholes, regularity, energy conditions, and causal structure".
429:
The small numerical size of the few conversion factors reflects the fact that relativistic effects are only noticeable when large masses or high speeds are considered.
922:
1167:
330:
122:
92:
350:
127:
The geometrized unit system is not a completely defined system. Some systems are geometrized unit systems in the sense that they set these, in addition to other
1117:
299:
275:
1161:
1689:
1436:
1714:
1709:
1426:
1246:
191:. For this reason, many books and papers on relativistic physics use geometric units. An alternative system of geometrized units is often used in
1745:
1740:
1694:
1345:
1335:
1236:
789:
1750:
1320:
1258:
915:
1684:
1471:
355:
In geometric units, every time interval is interpreted as the distance travelled by light during that given time interval. That is, one
1724:
1699:
1552:
1300:
1608:
1127:
876:
158:
are identified with geometric quantities such as areas, lengths, dimensionless numbers, path curvatures, or sectional curvatures.
1578:
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1189:
1664:
1649:
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1634:
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1562:
1532:
1502:
1466:
1391:
1310:
1285:
1280:
1275:
1268:
972:
1654:
1629:
1593:
1557:
1537:
1527:
1512:
1507:
1497:
1406:
1330:
1231:
962:
952:
1719:
1639:
1598:
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1517:
1421:
1360:
1355:
1315:
1305:
1295:
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1194:
1096:
1091:
1010:
1005:
967:
208:
151:
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1044:
216:
1797:
1547:
1522:
1461:
1411:
1396:
1386:
1350:
1241:
1204:
1173:
868:
438:
dimensionless ratios such as ratio of two volumes = and ratio of two areas = , while mole is only a dimensionless
161:
Many equations in relativistic physics appear simpler when expressed in geometric units, because all occurrences of
1583:
1431:
1365:
1263:
1209:
1199:
1802:
1476:
1015:
863:
212:
990:
1807:
278:
250:
55:
931:
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419:
170:
1704:
1224:
1155:
220:
43:
1219:
995:
841:
815:
372:
302:
236:
196:
128:
872:
785:
242:
155:
1251:
833:
224:
192:
308:
98:
68:
1416:
439:
335:
895:
829:
1766:
1340:
957:
284:
260:
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1791:
1214:
1086:
1054:
1026:
845:
386:
246:
39:
1771:
1059:
1049:
1034:
360:
136:
132:
1370:
1101:
1000:
858:
837:
17:
423:
368:
174:
367:. This is dimensionally consistent with the notion that, according to the
900:
426:. All other conversion factors can be worked out by combining these two.
382:
1776:
143:
1446:
378:
364:
356:
780:
Misner, Charles W.; Thorne, Kip S.; Wheeler, John
Archibald (2008).
820:
207:
instead. This introduces an additional factor of 8Ď€ into Newton's
390:
904:
403:
352:. Some authors refer to these units as geometrodynamic units.
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773:
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784:(27. printing ed.). New York, NY: Freeman.
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375:, time and distance are on an equal footing.
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235:Geometrized units were defined in the book
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227:by removing the corresponding factor.
27:Unit used in the physics of relativity
385:are interpreted as components of the
363:, so time has the geometric units of
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953:International System of Units (SI)
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152:general theories of relativity
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963:US customary units (USCS/USC)
414:in SI units is equivalent to
209:law of universal gravitation
869:University of Chicago Press
838:10.1103/PhysRevD.103.084052
173:of a nonrotating uncharged
169:drop out. For example, the
36:geometrodynamic unit system
1824:
62:, are set equal to unity.
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622:
571:
521:
466:
142:This system is useful in
213:Einstein field equations
131:, to unity, for example
1055:Quantum chromodynamical
217:Einstein–Hilbert action
46:are chosen so that the
32:geometrized unit system
1168:centimetre–gram–second
932:Systems of measurement
359:is interpreted as one
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279:gravitational constant
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251:John Archibald Wheeler
118:
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56:gravitational constant
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325:{\displaystyle k_{b}}
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117:{\displaystyle G=1\ }
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87:{\displaystyle c=1\ }
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420:Schwarzschild radius
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171:Schwarzschild radius
146:, especially in the
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69:
830:2021PhRvD.103h4052L
418:. This is half the
402:. For example, the
345:{\displaystyle 1.0}
221:Friedmann equations
211:but simplifies the
156:physical quantities
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958:UK imperial system
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270:{\displaystyle c}
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1247:Traditional
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1040:Geometrized
996:Avoirdupois
867:. Chicago:
782:Gravitation
433:Conversions
416:1.5 km
406:'s mass of
369:kinematical
332:all set to
238:Gravitation
199:, in which
50:in vacuum,
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1118:Overview
1087:Overview
984:Specific
861:(1984).
383:momentum
371:laws of
181:becomes
1777:Modulor
1751:Unusual
1720:Persian
1678:Ancient
1640:Chilean
1599:Mexican
1589:Haitian
1518:Guinean
1422:Myanmar
1361:Swedish
1356:Spanish
1346:Serbian
1336:Russian
1316:Ottoman
1306:Maltese
1296:Latvian
1291:Italian
1237:Finnish
1215:English
1195:Cypriot
1190:Cornish
1097:History
1092:Outline
1027:Natural
968:Chinese
946:General
939:Current
826:Bibcode
165:and of
148:special
144:physics
1772:N-body
1710:Indian
1685:Arabic
1548:Somali
1523:Libyan
1491:Africa
1462:Syrian
1412:Korean
1397:Indian
1387:Afghan
1351:Slovak
1321:Polish
1259:German
1242:French
1205:Danish
1183:Europe
1149:Metric
1080:Metric
1060:Stoney
1050:Planck
1035:Atomic
875:
844:
788:
379:Energy
365:length
357:second
301:, and
277:, the
249:, and
219:, the
215:, the
154:. All
112:
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1760:Other
1725:Roman
1705:Hindu
1700:Greek
1584:Cuban
1472:Tatar
1432:Omani
1371:Welsh
1366:Swiss
1286:Irish
1264:Greek
1210:Dutch
1200:Czech
1170:(CGS)
1164:(MTS)
1158:(MKS)
1130:(FPS)
1111:UK/US
842:S2CID
816:arXiv
1477:Thai
1447:Pegu
1380:Asia
1018:(US)
1001:Troy
873:ISBN
786:ISBN
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391:mass
381:and
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453:kg
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404:Sun
340:1.0
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410:Ă—
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314:k
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184:r
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