Knowledge (XXG)

History of field theory

Source đź“ť

265:"Important to the definition of these lines is that they represent a determinate and unchanging amount of force. Though, therefore, their forms, as they exist between two or more centers or sources of power, may vary greatly, and also the space through which they may be traced, yet the sum of power contained in any one section of a given portion of the lines is exactly equal to the sum of power in any other section of the same lines, however altered in form or however convergent or divergent they may be at the second place." 118: 219: 1164: 28: 305:"Another theory of electricity which I prefer denies action at a distance and attributes electric action to tensions and pressures in an all-pervading medium, these stresses being the same in kind with those familiar to engineers, and the medium being identical with that in which light is supposed to be propagated." 256:
then they too would align with the field. Faraday did not conceive of this field as a mere mathematical construct for calculating the forces between particles—having only rudimentary mathematical training, he had no use for abstracting reality to make quantitative predictions. Instead he conjectured
171:
between two electrically charged spheres obeys the same (up to a sign) force law as Newton's law of universal gravitation: the force between two bodies is directed along the line separating the bodies and its magnitude is proportional to the product of their charges (for gravitation, their masses)
369:. Mathematically, quantum fields are formalized as operator-valued distributions. Although there is no direct method of measuring the fields themselves, the framework asserts that all particles are "excitations" of these fields. For example: whereas Maxwell's theory of 183:
Despite the success of these theories in making accurate numerical predictions of a wide range of phenomena, these laws were generally seen as deficient as natural philosophies of mechanics, since they were all essentially
910: 974: 647: 1009: 691: 569: 941: 151: 725: 600: 613: 674: 984: 898: 142: 44: 1119: 1045: 1040: 1052: 797: 764: 1109: 385:. Furthermore, the number of particles in an isolated system need not be conserved; an example of a process for which this is the case is 204:
grounds that a force be exerted across empty space, and hence these force laws were assumed to be merely descriptive and not explanatory.
1142: 915: 421: 812: 787: 652: 642: 545: 213: 188:
mechanisms. In the context of the development of field theory, the fact that a function could be written to give the force per unit
662: 102:
was treated as a field and its curvature was the origin of the gravitational interactions, putting an end to action at a distance.
992: 703: 593: 325: 79: 948: 886: 720: 686: 360: 1193: 817: 715: 1124: 905: 871: 824: 319: 315: 893: 866: 844: 802: 698: 1188: 1167: 1137: 920: 881: 829: 586: 164: 997: 859: 749: 669: 370: 1104: 1073: 953: 849: 744: 390: 332:, however the result was negative, indicating that radiation could travel in vacuum. To explain this phenomenon, 297:
in terms of the same electric and magnetic fields. In order to explain this wave phenomena, Maxwell considered a
294: 83: 63:
used Faraday's conceptualisation to help formulate his unification of electricity and magnetism in his theory of
1129: 1002: 958: 876: 854: 708: 173: 347:
in 1915, consistent with special relativity and that could explain gravitation in terms of a field theory of
1035: 737: 679: 511:
Wald, Robert M. (2006-08-03). "The History and Present Status of Quantum Field Theory in Curved Spacetime".
374: 286: 176:
showed in 1823 that the force between infinitesimal lengths of current-carrying wires similarly obeys an
17: 1030: 1025: 979: 836: 635: 258: 126: 269:
Faraday's insights into the behavior of magnetic fields would prove invaluable for the development of
117: 630: 366: 185: 106: 48: 1083: 329: 298: 278: 134: 91: 60: 1078: 759: 609: 563: 512: 469: 344: 337: 177: 109:, fields become the fundamental objects of study, and particles are excitations of these fields. 95: 75: 36: 1149: 1068: 754: 732: 622: 551: 541: 417: 222: 155:
in 1687 provided a framework with which to investigate the motion and forces associated with
1088: 282: 270: 197: 64: 333: 237: 218: 193: 71: 52: 40: 180:
such that the force is directed along the line of separation between the wire elements.
1114: 776: 534: 448: 386: 340:(1905) which resolved the conflicts between classical mechanics and electromagnetism. 290: 274: 253: 241: 200:
for each point in space was just a mathematical construct. It was seen as untenable on
56: 393:
of a field theory which encodes the information of its allowed particle interactions.
248:
when postulating, after discovering that all the constituent materials of a human are
1182: 487: 464:
Faraday, Michael. "Experimental Researches in Electricity.--Twenty-Eighth Series."
414:
Faraday, Maxwell, and the Electromagnetic Field: How Two Men Revolutionized Physics
146: 122: 225:
drawing of a magnetic field from 1644. It shows the magnetic field of the Earth
578: 378: 249: 201: 156: 261:
were generated and reasoned qualitatively about these forces with force lines:
301:, a medium tha permeated all space that allowed light to propagate. He wrote 555: 373:
describes light as a self-propagating wave in the electromagnetic field, in
348: 160: 99: 389:. More detailed understanding of the framework is obtained by studying the 328:
attempted to prove that electromagnetic radiation were oscillations of a
27: 517: 473: 382: 87: 43:
had its origins in the 18th century in a mathematical formulation of
31:
Iron filings used to show the magnetic field lines of a bar magnet.
217: 168: 116: 26: 189: 130: 582: 436:
McMullin, Ernan. "The Origins of the Field Concept in Physics."
141:
The formal definition of gravitational force was introduced by
145:. The success of Newtonian physics since the publication of 466:
Philosophical Transactions of the Royal Society of London
289:
together led to a wave equation that propagated at the
59:
as a physical object, reasoning about lines of force.
252:, that if a human were set in a sufficiently strong 1097: 1061: 1018: 967: 931: 775: 621: 208:
Introduction of fields in electricity and magnetism
533: 447: 365:Fields become the fundamental object of study in 273:, in terms of the relations between magnetic and 488:"Why is Maxwell's Theory so hard to understand?" 172:divided by the square of their distance apart. 594: 257:that there was force filling the space where 47:, but it was seen as deficient as it implied 8: 568:: CS1 maint: multiple names: authors list ( 601: 587: 579: 516: 18:History of the philosophy of field theory 233:and illustrates his theory of magnetism. 536:An introduction to quantum field theory 401: 561: 143:Newton's law of universal gravitation 45:Newton's law of universal gravitation 7: 1053:Noisy intermediate-scale quantum era 407: 405: 229:attracting several round lodestones 167:showed in 1785 that the repulsive 25: 416:. Amherst, NY: Prometheus Press. 214:History of electromagnetic theory 1163: 1162: 446:Williams, Leslie Pearce (1966). 281:compiled all known equations of 90:without the need of a medium or 361:History of quantum field theory 133:is the source of an attractive 532:V., Schroeder, Daniel (1995). 1: 454:. New York, NY: Random House. 320:History of special relativity 316:History of general relativity 975:Cosmic microwave background 450:The Origins of Field Theory 326:Michelson–Morley experiment 165:Charles-Augustin de Coulomb 80:Michelson–Morley experiment 1210: 371:classical electromagnetism 358: 313: 211: 94:. Einstein also developed 1158: 295:electromagnetic radiation 343:Einstein also developed 336:developed his theory of 1110:Chandrasekhar–Eddington 1036:Golden age of cosmology 968:On specific discoveries 916:Lorentz transformations 375:quantum electrodynamics 82:, it became clear that 1041:Medieval Islamic world 784:Computational physics 726:Variational principles 653:Electrical engineering 412:Forbes, Nancy (2014). 377:light is the massless 307: 267: 259:electromagnetic fields 234: 138: 32: 1194:Philosophy of physics 1031:Golden age of physics 1026:Copernican Revolution 303: 263: 221: 127:classical gravitation 120: 84:electromagnetic waves 30: 1134:Relativity priority 989:Subatomic particles 949:Loop quantum gravity 938:Quantum information 887:Quantum field theory 687:Gravitational theory 381:particle called the 367:quantum field theory 186:action-at-a-distance 107:quantum field theory 49:action at a distance 1098:Scientific disputes 1084:Via Panisperna boys 985:Gravitational waves 932:Recent developments 663:Maxwell's equations 468:142 (1852): 25-56. 330:luminiferous aether 299:luminiferous aether 287:Maxwell's equations 279:James Clerk Maxwell 135:gravitational field 113:Inverse square laws 92:luminiferous aether 61:James Clerk Maxwell 1189:History of physics 1143:General relativity 1138:Special relativity 1079:Oxford Calculators 906:Special relativity 825:General relativity 610:History of physics 540:. Addison-Wesley. 391:Lagrangian density 345:general relativity 338:special relativity 293:. Thus explaining 235: 178:inverse-square law 174:AndrĂ©-Marie Ampère 139: 96:general relativity 76:special relativity 37:history of physics 33: 1176: 1175: 1150:Transfermium Wars 1069:Harvard Computers 894:Subatomic physics 867:Quantum mechanics 803:Superconductivity 794:Condensed matter 623:Classical physics 240:coined the term " 39:, the concept of 16:(Redirected from 1201: 1166: 1165: 1089:Women in physics 841:Nuclear physics 765:Perpetual motion 699:Material science 643:Electromagnetism 603: 596: 589: 580: 574: 573: 567: 559: 539: 529: 523: 522: 520: 508: 502: 501: 499: 497: 492: 486:Dyson, Freeman. 483: 477: 462: 456: 455: 453: 443: 437: 434: 428: 427: 409: 283:electromagnetism 271:electromagnetism 86:could travel in 65:electromagnetism 21: 1209: 1208: 1204: 1203: 1202: 1200: 1199: 1198: 1179: 1178: 1177: 1172: 1154: 1125:Joule–von Mayer 1093: 1057: 1014: 963: 927: 818:Big Bang theory 771: 670:Fluid mechanics 617: 607: 577: 560: 548: 531: 530: 526: 510: 509: 505: 495: 493: 490: 485: 484: 480: 463: 459: 445: 444: 440: 435: 431: 424: 411: 410: 403: 399: 363: 357: 334:Albert Einstein 322: 314:Main articles: 312: 275:electric fields 238:Michael Faraday 231:(I, K, L, M, N) 216: 210: 115: 72:Albert Einstein 53:Michael Faraday 23: 22: 15: 12: 11: 5: 1207: 1205: 1197: 1196: 1191: 1181: 1180: 1174: 1173: 1171: 1170: 1159: 1156: 1155: 1153: 1152: 1147: 1146: 1145: 1140: 1132: 1130:Shapley–Curtis 1127: 1122: 1120:Leibniz–Newton 1117: 1115:Galileo affair 1112: 1107: 1101: 1099: 1095: 1094: 1092: 1091: 1086: 1081: 1076: 1071: 1065: 1063: 1059: 1058: 1056: 1055: 1050: 1049: 1048: 1038: 1033: 1028: 1022: 1020: 1016: 1015: 1013: 1012: 1010:Speed of light 1007: 1006: 1005: 1000: 995: 987: 982: 977: 971: 969: 965: 964: 962: 961: 956: 954:Nanotechnology 951: 946: 945: 944: 935: 933: 929: 928: 926: 925: 924: 923: 918: 913: 903: 902: 901: 891: 890: 889: 884: 879: 874: 864: 863: 862: 857: 852: 847: 839: 834: 833: 832: 822: 821: 820: 815: 807: 806: 805: 800: 792: 791: 790: 781: 779: 777:Modern physics 773: 772: 770: 769: 768: 767: 762: 757: 752: 745:Thermodynamics 742: 741: 740: 730: 729: 728: 723: 713: 712: 711: 706: 696: 695: 694: 684: 683: 682: 677: 667: 666: 665: 660: 655: 650: 640: 639: 638: 627: 625: 619: 618: 608: 606: 605: 598: 591: 583: 576: 575: 546: 524: 503: 478: 457: 438: 429: 423:978-1616149420 422: 400: 398: 395: 387:bremsstrahlung 359:Main article: 356: 355:Quantum fields 353: 311: 308: 291:speed of light 254:magnetic field 242:magnetic field 223:RenĂ© Descartes 212:Main article: 209: 206: 114: 111: 57:magnetic field 24: 14: 13: 10: 9: 6: 4: 3: 2: 1206: 1195: 1192: 1190: 1187: 1186: 1184: 1169: 1161: 1160: 1157: 1151: 1148: 1144: 1141: 1139: 1136: 1135: 1133: 1131: 1128: 1126: 1123: 1121: 1118: 1116: 1113: 1111: 1108: 1106: 1105:Bohr–Einstein 1103: 1102: 1100: 1096: 1090: 1087: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1066: 1064: 1060: 1054: 1051: 1047: 1044: 1043: 1042: 1039: 1037: 1034: 1032: 1029: 1027: 1024: 1023: 1021: 1017: 1011: 1008: 1004: 1001: 999: 996: 994: 991: 990: 988: 986: 983: 981: 978: 976: 973: 972: 970: 966: 960: 959:String theory 957: 955: 952: 950: 947: 943: 940: 939: 937: 936: 934: 930: 922: 919: 917: 914: 912: 909: 908: 907: 904: 900: 897: 896: 895: 892: 888: 885: 883: 880: 878: 875: 873: 870: 869: 868: 865: 861: 858: 856: 853: 851: 848: 846: 843: 842: 840: 838: 835: 831: 828: 827: 826: 823: 819: 816: 814: 811: 810: 808: 804: 801: 799: 796: 795: 793: 789: 786: 785: 783: 782: 780: 778: 774: 766: 763: 761: 758: 756: 753: 751: 748: 747: 746: 743: 739: 736: 735: 734: 731: 727: 724: 722: 719: 718: 717: 714: 710: 709:Metamaterials 707: 705: 702: 701: 700: 697: 693: 690: 689: 688: 685: 681: 678: 676: 673: 672: 671: 668: 664: 661: 659: 656: 654: 651: 649: 646: 645: 644: 641: 637: 634: 633: 632: 629: 628: 626: 624: 620: 615: 611: 604: 599: 597: 592: 590: 585: 584: 581: 571: 565: 557: 553: 549: 547:9780201503975 543: 538: 537: 528: 525: 519: 518:gr-qc/0608018 514: 507: 504: 489: 482: 479: 475: 471: 467: 461: 458: 452: 451: 442: 439: 433: 430: 425: 419: 415: 408: 406: 402: 396: 394: 392: 388: 384: 380: 376: 372: 368: 362: 354: 352: 350: 346: 341: 339: 335: 331: 327: 321: 317: 309: 306: 302: 300: 296: 292: 288: 284: 280: 276: 272: 266: 262: 260: 255: 251: 247: 243: 239: 232: 228: 224: 220: 215: 207: 205: 203: 199: 195: 191: 187: 181: 179: 175: 170: 166: 162: 158: 154: 153: 148: 144: 136: 132: 128: 124: 119: 112: 110: 108: 103: 101: 97: 93: 89: 85: 81: 77: 73: 68: 66: 62: 58: 54: 50: 46: 42: 38: 29: 19: 1074:The Martians 738:Spectroscopy 680:Aerodynamics 658:Field theory 657: 535: 527: 506: 494:. Retrieved 481: 465: 460: 449: 441: 432: 413: 364: 342: 323: 304: 268: 264: 245: 236: 230: 226: 202:metaphysical 182: 150: 147:Isaac Newton 140: 123:Isaac Newton 104: 69: 55:treated the 34: 998:Higgs boson 379:gauge boson 277:. In 1865, 250:diamagnetic 157:electricity 98:, in which 51:. In 1852, 1183:Categories 1019:By periods 837:Geophysics 809:Cosmology 397:References 310:Relativity 246:Researches 1062:By groups 1046:Astronomy 882:Molecules 716:Mechanics 631:Astronomy 564:cite book 349:spacetime 244:" in his 161:magnetism 152:Principia 100:spacetime 1168:Category 993:timeline 980:Graphene 942:timeline 911:timeline 899:timeline 872:timeline 813:timeline 798:timeline 788:timeline 750:timeline 721:timeline 704:timeline 692:timeline 675:timeline 648:timeline 636:timeline 614:timeline 556:20393204 78:and the 1003:Neutron 860:Weapons 845:Fission 760:Entropy 198:current 35:In the 850:Fusion 755:Energy 733:Optics 554:  544:  474:108532 472:  420:  383:photon 194:charge 88:vacuum 41:fields 921:tests 877:Atoms 855:Power 830:tests 513:arXiv 496:6 May 491:(PDF) 470:JSTOR 196:, or 169:force 70:With 570:link 552:OCLC 542:ISBN 498:2017 418:ISBN 324:The 318:and 190:mass 159:and 131:mass 227:(D) 149:'s 125:'s 121:In 105:In 74:'s 1185:: 566:}} 562:{{ 550:. 404:^ 351:. 285:. 192:, 163:. 129:, 67:. 616:) 612:( 602:e 595:t 588:v 572:) 558:. 521:. 515:: 500:. 476:. 426:. 137:. 20:)

Index

History of the philosophy of field theory

history of physics
fields
Newton's law of universal gravitation
action at a distance
Michael Faraday
magnetic field
James Clerk Maxwell
electromagnetism
Albert Einstein
special relativity
Michelson–Morley experiment
electromagnetic waves
vacuum
luminiferous aether
general relativity
spacetime
quantum field theory

Isaac Newton
classical gravitation
mass
gravitational field
Newton's law of universal gravitation
Isaac Newton
Principia
electricity
magnetism
Charles-Augustin de Coulomb

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑