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Geometry at the quantum scale = understanding the geometric language of relativistic quantum mechanics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry at the quantum scale/ by Marcos D. Maia, Edmundo M. Monte.
Reminder of title:	understanding the geometric language of relativistic quantum mechanics /
Author:	Maia, Marcos D.
other author:	Monte, Edmundo M.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 130 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Chapter 1 A Brief Review on Gauge Forces -- Chapter 2 Gravitation and Cosmology -- Chapter 3 Quantum Gravity -- Chapter 4 Renormalizable Einstein's Gravitation -- Chapter 5 The Renormalizable Einstein's Gravitation -- Chapter 6 Symmetry Mixing -- Chapter 7 The Equations of the Standard Model -- Chapter 8 The Relativistic Poincaré Conjecture -- Chapter 9 The Higgs Roulette -- Chapter 10 Quantum Black Holes at the LHC.
Contained By:	Springer Nature eBook
Subject:	Particles (Nuclear physics) -
Online resource:	https://doi.org/10.1007/978-3-031-61197-1
ISBN:	9783031611971

Geometry at the quantum scale = understanding the geometric language of relativistic quantum mechanics /
Maia, Marcos D.

Geometry at the quantum scaleunderstanding the geometric language of relativistic quantum mechanics /[electronic resource] :by Marcos D. Maia, Edmundo M. Monte. - Cham :Springer Nature Switzerland :2025. - xii, 130 p. :ill. (some col.), digital ;24 cm.

Chapter 1 A Brief Review on Gauge Forces -- Chapter 2 Gravitation and Cosmology -- Chapter 3 Quantum Gravity -- Chapter 4 Renormalizable Einstein's Gravitation -- Chapter 5 The Renormalizable Einstein's Gravitation -- Chapter 6 Symmetry Mixing -- Chapter 7 The Equations of the Standard Model -- Chapter 8 The Relativistic Poincaré Conjecture -- Chapter 9 The Higgs Roulette -- Chapter 10 Quantum Black Holes at the LHC.

This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brief summary of the four known fundamental forces, namely the three known gauge forces (the electromagnetic and the two nuclear forces) and the gravitational force. These chapters also summarize the main experimental results from high energy physics, including the implications of the existence of the Higgs particle discovered at the LHC, and the implications of recent astronomical observations. The subsequent chapters include quantum gravity based on the consequences of the't Hooft-Veltman renormalization theorem for gauge fields and the non-renormalization of Einstein's gravitational field of General Relativity. The main focus of the book is to show that the three gauge forces are defined in the quantum domain, while Einstein's gravitation remains an essentially classical interaction. However, the main implication of Einstein's reasoning is built into the Einstein-Hilbert action principle, which is independent of the source of gravitation. As such, the Einstein-Hilbert principle by itself does not depend on any specific source, leading to a gravitational field that is far more general than that defined by General Relativity, while retaining all its geometrical characteristics. This makes a key difference in the sense that all four fundamental interactions may now be defined in the same quantum domain. Einstein's classical theory of General Relativity becomes a particular case of the quantum gravitational field defined by the Einstein-Hilbert action. At the quantum scale, the direct sum of the resulting four geometries produces an 11-dimensional Riemannian geometry whose curvature defines a new quantum cosmology without hierarchies, so that all fundamental interactions contribute effectively to the evolution of the universe, a result that is of interest to high energy physicists, cosmologists, mathematicians, philosophers and all those who seek a plausible explanation for the physical world.

ISBN: 9783031611971

Standard No.: 10.1007/978-3-031-61197-1doiSubjects--Topical Terms:

535550
Particles (Nuclear physics)

LC Class. No.: QC793.29

Dewey Class. No.: 539.72

Geometry at the quantum scale = understanding the geometric language of relativistic quantum mechanics /
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300 $a xii, 130 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Chapter 1 A Brief Review on Gauge Forces -- Chapter 2 Gravitation and Cosmology -- Chapter 3 Quantum Gravity -- Chapter 4 Renormalizable Einstein's Gravitation -- Chapter 5 The Renormalizable Einstein's Gravitation -- Chapter 6 Symmetry Mixing -- Chapter 7 The Equations of the Standard Model -- Chapter 8 The Relativistic Poincaré Conjecture -- Chapter 9 The Higgs Roulette -- Chapter 10 Quantum Black Holes at the LHC.
520 $a This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brief summary of the four known fundamental forces, namely the three known gauge forces (the electromagnetic and the two nuclear forces) and the gravitational force. These chapters also summarize the main experimental results from high energy physics, including the implications of the existence of the Higgs particle discovered at the LHC, and the implications of recent astronomical observations. The subsequent chapters include quantum gravity based on the consequences of the't Hooft-Veltman renormalization theorem for gauge fields and the non-renormalization of Einstein's gravitational field of General Relativity. The main focus of the book is to show that the three gauge forces are defined in the quantum domain, while Einstein's gravitation remains an essentially classical interaction. However, the main implication of Einstein's reasoning is built into the Einstein-Hilbert action principle, which is independent of the source of gravitation. As such, the Einstein-Hilbert principle by itself does not depend on any specific source, leading to a gravitational field that is far more general than that defined by General Relativity, while retaining all its geometrical characteristics. This makes a key difference in the sense that all four fundamental interactions may now be defined in the same quantum domain. Einstein's classical theory of General Relativity becomes a particular case of the quantum gravitational field defined by the Einstein-Hilbert action. At the quantum scale, the direct sum of the resulting four geometries produces an 11-dimensional Riemannian geometry whose curvature defines a new quantum cosmology without hierarchies, so that all fundamental interactions contribute effectively to the evolution of the universe, a result that is of interest to high energy physicists, cosmologists, mathematicians, philosophers and all those who seek a plausible explanation for the physical world.
650 0 $a Particles (Nuclear physics) $3 535550
650 0 $a Quantum field theory. $3 523766
650 0 $a Gravitation. $3 535769
650 0 $a Geometry, Differential. $3 523835
650 1 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Classical and Quantum Gravity. $3 3538892
650 2 4 $a Particle Physics. $3 3538893
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Monte, Edmundo M. $3 3803222
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-61197-1
950 $a Physics and Astronomy (SpringerNature-11651)