Discrete or continuous?: the quest for fundamental length in modern physics
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2015
|
Ausgabe: | First paperback edition |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis Klappentext |
Beschreibung: | xi, 267 Seiten Diagramme |
ISBN: | 9781107633698 9781107062801 |
Internformat
MARC
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250 | |a First paperback edition | ||
264 | 1 | |a Cambridge, United Kingdom |b Cambridge University Press |c 2015 | |
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Datensatz im Suchindex
_version_ | 1804176446494605312 |
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adam_text | R
! IX
1
7
7
9
13
20
27
31
35
37
37
39
44
49
52
54
54
56
63
83
88
vii
Contents
Preface
Introduction
Arguments from math
2.1 Outline
2.2 Zeno’s paradox of extension
2.3 Topology and the argument against collision
2.4 Geometry and the tile argument
2.5 Richer alternatives to the real line model
2.6 The physical Church-Turing thesis
2.7 Pure versus applied mathematics
Arguments from philosophy
3.1 Outline
3.2 Metaphysical motivations
3.3 Epistemology and the primacy of “length”
3.4 Is discreteness transcendental?
3.5 Enough with the “isms”
Electrodynamics, QED, and early QFT
4.1 Outline
4.2 Classical electrodynamics
4.3 From QM to QED
4.4 The rise of renormalization
4.5 Philosophical ramifications
viii Contents
5 Quantum gravity: prehistory 97
5.1 Outline 97
5.2 Early steps 98
5.3 Gravitons, measurability, and the Planck scale 107
5.4 Non-commutative geometry 112
5.5 (Re)enters gravity 118
5.6 Quantizing gravity - the philosophical debate 126
6 Einstein on the notion of length 141
6.1 Outline 141
6.2 Constructing the principles 142
6.3 The Swann-Einstein correspondence 149
6.4 Reading Einstein 156
6.5 Einstein and the constructive approach to STR 160
6.6 Geometry and dynamics, again 170
7 Quantum gravity: current approaches 1.71
7.1 Outline 171
7.2 String theory 174
7.3 Background independent strategies 181
7.4 Emergent gravity 193
7.5 On the “disappearance” of spacetime 194
8 The proof is in the pudding 201
8.1 Outline 201
8.2 The quest for quantum gravity phenomenology 203
8.3 Consistency proofs 208
8.4 The perils of innovation 213
8.5 There and back again 228
9 Coda 231
References 239
Index 264
DISCRETE OR CONTINUOUS?
The Quest for Fundamental Length in Modem Physics
The idea of infinity plays a crucial role in our understanding of the universe,
with the infinite spacetime continuum perhaps the best-known example - but is
spacetime really continuous? Throughout the history of science, many have felt
that the continuum model is an unphysical idealization, and that spacetime should
be thought of as “quantized” at the smallest of scales.
Combining novel conceptual analysis, a fresh historical perspective, and con-
crete physical examples, this unique book tells the story of the search for the
fundamental unit of length in modem physics, from early classical electrodynam-
ics to current approaches to quantum gravity. Original philosophical theses, with
direct implications for theoretical physics research, are presented and defended in
an accessible format that avoids complex mathematics. Blending history, philos-
ophy, and theoretical physics, this refreshing outlook on the nature of spacetime
sheds light on one of the most thought-provoking topics in modern physics.
am it hagar isan Associate Professor in the Department of History and Phi-
losophy of Science, Indiana University Bloomington, where he specializes in the
foundations of modern physics.
|
any_adam_object | 1 |
author | Hagar, Amit 1969- |
author_GND | (DE-588)1058611984 |
author_facet | Hagar, Amit 1969- |
author_role | aut |
author_sort | Hagar, Amit 1969- |
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building | Verbundindex |
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dewey-full | 530.11 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.11 |
dewey-search | 530.11 |
dewey-sort | 3530.11 |
dewey-tens | 530 - Physics |
discipline | Physik |
edition | First paperback edition |
format | Book |
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spelling | Hagar, Amit 1969- Verfasser (DE-588)1058611984 aut Discrete or continuous? the quest for fundamental length in modern physics Amit Hagar First paperback edition Cambridge, United Kingdom Cambridge University Press 2015 xi, 267 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lorentz-Transformation (DE-588)4653925-6 gnd rswk-swf Weltlinie (DE-588)4673152-0 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Weltlinie (DE-588)4673152-0 s Lorentz-Transformation (DE-588)4653925-6 s Raum-Zeit (DE-588)4302626-6 s Philosophie (DE-588)4045791-6 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092869&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092869&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Hagar, Amit 1969- Discrete or continuous? the quest for fundamental length in modern physics Lorentz-Transformation (DE-588)4653925-6 gnd Weltlinie (DE-588)4673152-0 gnd Philosophie (DE-588)4045791-6 gnd Raum-Zeit (DE-588)4302626-6 gnd |
subject_GND | (DE-588)4653925-6 (DE-588)4673152-0 (DE-588)4045791-6 (DE-588)4302626-6 |
title | Discrete or continuous? the quest for fundamental length in modern physics |
title_auth | Discrete or continuous? the quest for fundamental length in modern physics |
title_exact_search | Discrete or continuous? the quest for fundamental length in modern physics |
title_full | Discrete or continuous? the quest for fundamental length in modern physics Amit Hagar |
title_fullStr | Discrete or continuous? the quest for fundamental length in modern physics Amit Hagar |
title_full_unstemmed | Discrete or continuous? the quest for fundamental length in modern physics Amit Hagar |
title_short | Discrete or continuous? |
title_sort | discrete or continuous the quest for fundamental length in modern physics |
title_sub | the quest for fundamental length in modern physics |
topic | Lorentz-Transformation (DE-588)4653925-6 gnd Weltlinie (DE-588)4673152-0 gnd Philosophie (DE-588)4045791-6 gnd Raum-Zeit (DE-588)4302626-6 gnd |
topic_facet | Lorentz-Transformation Weltlinie Philosophie Raum-Zeit |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092869&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092869&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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