國立虎尾科技大學 |

Trans-Planckian physics and inflation = an introduction to renormalizable and background-free quantum gravity /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Trans-Planckian physics and inflation/ by Ken-ji Hamada.
其他題名:	an introduction to renormalizable and background-free quantum gravity /
作者:	Hamada, Ken-ji.
出版者:	Singapore :Springer Nature Singapore : : 2025.,
面頁冊數:	xiii, 230 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	https://doi.org/10.1007/978-981-96-3476-7
ISBN:	9789819634767

Trans-Planckian physics and inflation = an introduction to renormalizable and background-free quantum gravity /
Hamada, Ken-ji.

Trans-Planckian physics and inflationan introduction to renormalizable and background-free quantum gravity /[electronic resource] :by Ken-ji Hamada. - Singapore :Springer Nature Singapore :2025. - xiii, 230 p. :ill. (some col.), digital ;24 cm. - Fundamental theories of physics,v. 262365-6425 ;. - Fundamental theories of physics ;v.172..

Preface -- What quantum gravity should reveal -- Renormalizable quantum gravity -- Conformal invariance as background freedom -- Physical meaning of Hamiltonian constraint -- Renormalization by dimensional regularization -- BRST conformal algebra and physical states -- Quantum gravity inflation -- Localized massive excitation of quantum gravity -- What the cosmological constant problem is -- Amplitude reduction of fluctuations and primordial spectra -- Topology and quantum gravity -- Simplicial quantum gravity.

This book comprehensively describes recent developments in the research of renormalizable quantum gravity, focusing on its application to physics beyond the Planck scale, particularly in inflationary cosmology. It challenges the notion that the Planck scale is an impassable barrier, addressing issues such as singularity, renormalizability, unitarity, time, primordial fluctuations, and the cosmological constant. To describe the trans-Planckian world, it is necessary to break away from the view of graviton scattering and carry out the quantization of spacetime itself. Utilizing conformal field theory techniques to achieve background freedom, the book presents a renormalizable quantum theory of gravity that overcomes the Planck-scale wall. Historically, discussions on renormalizability of gravity declined due to ghost issues. However, ghosts are essential in gravitational systems where the total Hamiltonian/momentum vanishes strictly, for aspects such as cosmic entropy, the formation of the universe, and gravitational objects. Quantum gravity approaches known in recent years often break diffeomorphism invariance or sacrifice renormalizability to eliminate ghosts. In contrast, this book presents a novel attempt which maintains that these are guiding principles even in the trans-Planckian domain, but constrains ghosts to be unphysical. The renormalizability implies a new scale that leads to a quantum gravity inflation scenario with a spacetime phase transition as the Big Bang. This book offers fresh insights into the trans-Planckian physics for graduate students and researchers.

ISBN: 9789819634767

Standard No.: 10.1007/978-981-96-3476-7doiSubjects--Topical Terms:

786661
Mathematical Physics.

LC Class. No.: QC178

Dewey Class. No.: 530.143

Trans-Planckian physics and inflation = an introduction to renormalizable and background-free quantum gravity /
LDR:03224nam a2200337 a 4500 001 1162576
003 DE-He213
005 20250425130211.0
006 m d
007 cr nn 008maaau
008 251029s2025 si s 0 eng d
020 $a 9789819634767 $q (electronic bk.)
020 $a 9789819634750 $q (paper)
024 7 $a 10.1007/978-981-96-3476-7 $2 doi
035 $a 978-981-96-3476-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QC178
072 7 $a PHDV $2 bicssc
072 7 $a SCI033000 $2 bisacsh
072 7 $a PHDV $2 thema
082 0 4 $a 530.143 $2 23
090 $a QC178 $b .H198 2025
100 1 $a Hamada, Ken-ji. $3 1489393
245 1 0 $a Trans-Planckian physics and inflation $h [electronic resource] : $b an introduction to renormalizable and background-free quantum gravity / $c by Ken-ji Hamada.
260 $a Singapore : $c 2025. $b Springer Nature Singapore : $b Imprint: Springer,
300 $a xiii, 230 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Fundamental theories of physics, $x 2365-6425 ; $v v. 26
505 0 $a Preface -- What quantum gravity should reveal -- Renormalizable quantum gravity -- Conformal invariance as background freedom -- Physical meaning of Hamiltonian constraint -- Renormalization by dimensional regularization -- BRST conformal algebra and physical states -- Quantum gravity inflation -- Localized massive excitation of quantum gravity -- What the cosmological constant problem is -- Amplitude reduction of fluctuations and primordial spectra -- Topology and quantum gravity -- Simplicial quantum gravity.
520 $a This book comprehensively describes recent developments in the research of renormalizable quantum gravity, focusing on its application to physics beyond the Planck scale, particularly in inflationary cosmology. It challenges the notion that the Planck scale is an impassable barrier, addressing issues such as singularity, renormalizability, unitarity, time, primordial fluctuations, and the cosmological constant. To describe the trans-Planckian world, it is necessary to break away from the view of graviton scattering and carry out the quantization of spacetime itself. Utilizing conformal field theory techniques to achieve background freedom, the book presents a renormalizable quantum theory of gravity that overcomes the Planck-scale wall. Historically, discussions on renormalizability of gravity declined due to ghost issues. However, ghosts are essential in gravitational systems where the total Hamiltonian/momentum vanishes strictly, for aspects such as cosmic entropy, the formation of the universe, and gravitational objects. Quantum gravity approaches known in recent years often break diffeomorphism invariance or sacrifice renormalizability to eliminate ghosts. In contrast, this book presents a novel attempt which maintains that these are guiding principles even in the trans-Planckian domain, but constrains ghosts to be unphysical. The renormalizability implies a new scale that leads to a quantum gravity inflation scenario with a spacetime phase transition as the Big Bang. This book offers fresh insights into the trans-Planckian physics for graduate students and researchers.
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 672693
650 2 4 $a Cosmology. $3 579761
650 1 4 $a Classical and Quantum Gravity. $3 1366299
650 0 $a Quantum gravity. $3 672728
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Fundamental theories of physics ; $v v.172. $3 885722
856 4 0 $u https://doi.org/10.1007/978-981-96-3476-7
950 $a Physics and Astronomy (SpringerNature-11651)