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The cosmological consequences of assumptions fly in the face of present day dogmas in cosmology: the universe is eternal; there is no such thing as the expansion of the universe and no such thing as a Big Bang; space is a hypersphere i.e. a three-dimensional sphere of fixed radius; the principle of
508:
The chronometric theory as described in this book is not a theory concerning the nature of the universe nor the behaviour of objects in it. Rather it ignores the effect of gravitational forces on these objects, postulates that astronomical bodies in it are at rest without explaining how this happens
31:
444:'s obituary article about Segal concludes: "... It is rare for a mathematician to produce a life work that at the time can be fully and confidently evaluated by no one, but the full impact of the work of Irving Ezra Segal will become known only to future generations."
492:
with an auxiliary real line for time. Spacetime cannot turn back on itself. At each point in the cosmos there is a convex future direction, meaning, "the future can never merge into the past", no spacetime curvature can close or loop.
332:, completed his undergraduate studies in just three years time, graduated with highest honors with a bachelor's degree in 1937, and was awarded the George B. Covington Prize in Mathematics. He was then admitted to
517:, in the chronometric view, "The observed blackbody... is simply the most likely disposition of remnants of light on a purely random basis... and is not at all uniquely indicative of a Big Bang."
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where he remained as a professor until his death in 1998. During his career he supervised 40 doctoral students — 15 at the
University of Chicago and 25 at M.I.T. He won three
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509:
and ascribes the redshift to a particular description of methods of measurement which is at variance with that used in theories such as general relativity.
496:
Segal reviewed redshift data to verify his cosmology. He claimed confirmation, but generally his chronometric cosmology has not found favor. For instance,
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energy conservation is reestablished; the redshift phenomenon is no
Doppler effect but is an effect of the curvature of space ... (page 3)
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Baez, J. C.; Segal, I. E.; Zhou, Z.; Kon, Mark A. (1993). "Introduction to algebraic and constructive quantum field theory".
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He concedes at the outset that Segal's cosmology is "generally ignored by astrophysicists", and that the model was first
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Leonard Gross and
William Segal, "Irving E. Segal", Biographical Memoirs of the National Academy of Sciences (2022)
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In 2005 A. Daigneault spoke on "Irving Segal's
Axiomatization of Spacetime and its Cosmological Consequences" in
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476:. “The inclusion of the Einstein temporal evolution among the fundamental symmetries gives rise to the
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592:. Lectures in Applied Mathematics, vol. 2. American Mathematical Soc. 1967; with an appendix by
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in 1948 where he served until 1960. In 1960 he joined the mathematics department at the
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634:. Grundlehren der mathematische Wissenschaften, vol. 228. Springer-Verlag. 2012-12-06.
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Statistically
Efficient Testing of the Hubble and Lundmark Laws on IRAS Galaxy Samples
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Irving Segal's
Axiomatization of Spacetime and its Cosmological Consequences
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For a list of 227 articles and 10 books to which Segal contributed, see the
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924:(1978). "On the Segal–Shale–Weil representation and harmonic polynomials".
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of the cosmos, according to Segal. Spacetime symmetry is expressed by the
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160:
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Maxwell's
Equations in the Einstein Universe and Chronometric Cosmology"
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Maxwell's
Equations in the Einstein Universe and Chronometric Cosmology
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Studies in
Applied Mathematics: a Volume Dedicated to Irving Segal
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288:. Early in his career Segal became known for his developments in
300:, in particular his innovation of the algebraic axioms known as
30:
1359:
Massachusetts
Institute of Technology School of Science faculty
1205:"Einstein's Static Universe: An Idea Whose Time Has Come Back?"
1036:
Introduction to Algebraic and Constructive Quantum Field Theory
724:
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang (2014-07-14).
431:
Introduction to Algebraic and Constructive Quantum Field Theory
401:
317:
488:
so Segal portrayed the spatial part of the cosmos as a large
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104:
405:
333:
36:
1364:
Members of the United States National Academy of Sciences
546:
114:
284:. He shares credit for what is often referred to as the
561:. Memoirs of the American Mathematical Society, no. 9.
464:
that motivates the expanding universe theory is due to
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Harvard University Department of Mathematics faculty
989:"Who's That Mathematician? Paul R. Halmos - Page 48"
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1126:Mathematical Cosmology and Extragalactic Astronomy
666:Mathematical cosmology and extragalactic astronomy
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502:Mathematical Cosmology and Extragalactic Astronomy
1258:
1162:"Standard Cosmology and Other Possible Universes"
1078:Obituary in Americal Mathematical Society Notices
1320:
692:
669:. Pure and Applied Mathematics Series, Vol. 68.
916:
1230:Habermann, Katharina; Habermann, Lutz (2006),
380:. He joined the mathematics department at the
1203:Daigneault, Aubert; Sangalli, Arturo (2001).
1133:Bulletin of the American Mathematical Society
886:"Sur certains groupes d'opérateurs unitaires"
723:
589:Mathematical problems of relativistic physics
558:Decompositions of operator algebras, I and II
1213:Notices of the American Mathematical Society
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744:1993: (with Nicoll, J.F., Wu, P., Zhou, Z.)
1118:
392:, in 1947, 1951 and 1967, and received the
1232:Introduction to Symplectic Dirac Operators
396:in 1981. He was an Invited Speaker of the
29:
1145:
901:
865:
447:
372:conducting research in ballistics at the
1201:, invited lecture at Budapest. See also
1038:by J. C. Baez, I. E. Segal, and Z. Zhou"
850:"Linear symmetries of free boson fields"
540:
398:International Congress of Mathematicians
1270:MacTutor History of Mathematics Archive
1321:
577:Lectures at the Boulder Summer Seminar
328:, at the age of 16. He was elected to
844:
554:
452:Segal provided an alternative to the
386:Massachusetts Institute of Technology
187:Massachusetts Institute of Technology
1354:20th-century American mathematicians
880:
993:Mathematical Association of America
13:
631:Revised & enlarged 2nd edition
312:Irving Ezra Segal was born in the
137:Gelfand–Naimark–Segal construction
14:
1380:
1252:
1166:Physics Before and After Einstein
867:10.1090/s0002-9947-1962-0137504-6
644:; pbk reprint of 1978 2nd edition
537:and is "supposedly discredited".
356:, working from 1941 to 1943 with
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433:(1992), which Segal coauthored.
340:degree in 1940. Segal taught at
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1154:
1147:10.1090/S0002-9904-1977-14356-5
1112:
1099:
968:"Irving Ezra Segal – Biography"
320:parents. He attended school in
286:Segal–Shale–Weil representation
133:Segal–Shale–Weil representation
1291:"Publications of Irving Segal"
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838:
811:Commutation theorem for traces
766:1997: "Cosmic time dilation",
730:. Princeton University Press.
354:Guggenheim Memorial Fellowship
280:known for work on theoretical
1:
1285:Mathematics Genealogy Project
1184:10.3233/978-1-58603-462-7-285
831:
581:American Mathematical Society
324:. In 1934 he was admitted to
1088:Segal, I.E, Zhou, Z. (1995)
535:proposed by Einstein in 1917
410:National Academy of Sciences
346:Institute for Advanced Study
307:
276:(1918–1998) was an American
7:
1339:Princeton University alumni
774:
555:Segal, Irving Ezra (1951).
515:cosmic microwave background
423:dedicated to Irving Segal.
10:
1385:
1369:20th-century American Jews
703:Princeton University Press
654:: CS1 maint: postscript (
605:: CS1 maint: postscript (
316:on September 13, 1918, to
1160:Aubert Daigneault (2005)
1095:, ApJS. Ser. 100, 307–324
768:The Astrophysical Journal
763:, ApJS. Ser. 100, 307–324
752:The Astrophysical Journal
458:expansion of the universe
267:
207:
195:
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153:
146:
141:Oscillator representation
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93:
70:
44:
28:
21:
1309:Memories of Irving Segal
1275:University of St Andrews
926:Inventiones Mathematicae
826:Symplectic spinor bundle
438:Lexington, Massachusetts
408:. He was elected to the
622:Integrals and operators
374:Aberdeen Proving Ground
1344:Yale University alumni
1168:, M.M. Capria editor,
854:Trans. Amer. Math. Soc
757:1995: (with Zhou, Z.)
531:
511:
486:closed timelike curves
472:and its extension the
448:Chronometric cosmology
440:, on August 30, 1998.
429:published a review of
390:Guggenheim Fellowships
256:W. Forrest Stinespring
16:American mathematician
1194:A. Daigneault (2005)
1128:by Irving Ezra Segal"
1032:Kon, Mark A. (1993).
549:external link below.
541:Selected publications
526:
506:
382:University of Chicago
344:, then he joined the
182:University of Chicago
1261:Robertson, Edmund F.
1109:, Ap. J. 482:L115-17
1107:Cosmic time dilation
691:and Zhengfang Zhou)
626:. McGraw-Hill. 1968.
498:Abraham H. Taub
368:Segal served in the
338:Doctor of Philosophy
326:Princeton University
290:quantum field theory
129:Segal–Bargmann space
101:Princeton University
1259:O'Connor, John J.;
1105:Segal, I.E., 1997,
1057:1993PhT....46l..43B
938:1978InMat..44....1K
711:1993PhT....46l..43B
480:...” But conformal
460:. The cosmological
946:10.1007/BF01389900
903:10.1007/BF02391012
803:Mathematics portal
342:Harvard University
216:Robert J. Blattner
55:September 13, 1918
1245:978-3-540-33420-0
1065:10.1063/1.2809125
816:Metaplectic group
719:10.1063/1.2809125
298:harmonic analysis
282:quantum mechanics
274:Irving Ezra Segal
271:
270:
263:Robert R. Kallman
260:Walter A. Strauss
208:Doctoral students
148:Scientific career
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1196:arXiv preprint,
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1164:, chapter 13 of
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1120:Taub, A. H.
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1006:Victor Guillemin
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789:Biography portal
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594:George W. Mackey
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482:compactification
417:Victor Guillemin
362:John von Neumann
197:Doctoral advisor
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1253:External links
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673:. 1976-02-19.
671:Academic Press
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474:Poincaré group
449:
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436:Segal died in
394:Humboldt Award
330:Phi Beta Kappa
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240:Ernest Michael
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1298:math.mit.edu
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1281:Irving Segal
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918:Kashiwara, M
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727:2014 reprint
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689:John C. Baez
687:1992: (with
665:
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613:1968: (with
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366:World War II
311:
273:
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212:John C. Baez
175:Institutions
147:
76:(1998-08-30)
23:Irving Segal
1334:1998 deaths
1329:1918 births
1140:: 705–711.
1124:"Review of
1034:"Review of
896:: 143–211.
860:: 149–167.
770:482:L115–17
513:As for the
484:introduces
421:festschrift
400:in 1966 in
248:David Shale
202:Einar Hille
161:Mathematics
1323:Categories
1051:(12): 43.
1021:012305480X
922:Vergne, M.
832:References
504:, saying
456:theory of
302:C*-algebra
294:functional
228:Abel Klein
51:1918-09-13
1170:IOS Press
954:121545402
890:Acta Math
846:Shale, D.
650:cite book
615:Ray Kunze
601:cite book
500:reviewed
466:curvature
419:edited a
412:in 1973.
364:. During
350:Princeton
308:Biography
236:Ray Kunze
224:Henry Dye
166:cosmology
82:Lexington
59:The Bronx
35:Segal in
1122:(1977).
932:: 1–47.
884:(1964).
882:Weil, A.
848:(1962).
775:See also
522:Budapest
490:3-sphere
462:redshift
454:Big Bang
415:In 1983
378:Maryland
63:New York
1307:(1999)
1283:at the
1220:: 9–16.
1053:Bibcode
973:May 20,
934:Bibcode
754:465–484
707:Bibcode
370:US Army
322:Trenton
292:and in
1242:
1175:
1019:
952:
734:
705:: 43.
701:(12).
677:
662:1976:
638:
585:1963:
575:1962:
565:
553:1951:
402:Moscow
318:Jewish
154:Fields
88:, U.S.
65:, U.S.
39:, 1970
1294:(PDF)
1208:(PDF)
1041:(PDF)
950:S2CID
352:on a
314:Bronx
1240:ISBN
1173:ISBN
1017:ISBN
975:2013
732:ISBN
675:ISBN
656:link
636:ISBN
607:link
563:ISBN
406:Nice
360:and
334:Yale
296:and
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