scholarly journals A Model of Spacetime Dynamics with Embedded Quantum Objects

2017 ◽  
Vol 01 (03) ◽  
pp. 1750010
Author(s):  
Hans H. Diel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Building Blocks ◽  
Relativity Theory ◽  
Quantum Field ◽  
Dynamical Object ◽  
Discrete Spacetime ◽  
Proposed Model ◽  
Quantum Objects ◽  
Physical Objects

General relativity theory (GRT) tells us that (a) space and time should be viewed as an entity (called spacetime), (b) the spacetime of a world that contains gravitational objects should be viewed as curved, and (c) spacetime is a dynamical object with a dynamically changing extent and curvature. Attempts to achieve compatibility of GRT with quantum theory (QT) have typically resulted in proposing elementary units of spacetime as building blocks for the emergence of larger spacetime objects. In the present paper, a model of curved discrete spacetime is presented in which the basic space elements are derived from Causal Dynamical Triangulation. Spacetime can be viewed as the container for physical objects, and in GRT, the energy distribution of the contained physical objects determines the dynamics of spacetime. In the proposed model of curved discrete spacetime, the primary objects contained in spacetime are “quantum objects”. Other larger objects are collections of quantum objects. This approach results in an accordance of GRT and quantum (field) theory, while coincidently the areas in which their laws are in force are separated. In the second part of the paper, a rough mapping of quantum field theory to the proposed model of spacetime dynamics is described.

Propagators and commutators in general relativity

1962 ◽  
Vol 270 (1342) ◽  
pp. 342-345 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Relativity Theory ◽  
Quantum Field ◽  
General Relativity Theory ◽  
Free Fields

In this contribution, my purpose is to study a new mathematical instrument introduced by me in 1958-9: the tensor and spinor propagators. These propagators are extensions of the scalar propagator of Jordan-Pauli which plays an important part in quantum-field theory. It is possible to construct, with these propagators, commutators and anticommutators for the various free fields, in the framework of general relativity theory (see Lichnerowicz 1959 a, b, c , 1960, 1961 a, b, c ; and for an independent introduction of propagators DeWitt & Brehme 1960).

The Beginning of the Universe and of Time

1996 ◽  
Vol 26 (2) ◽  
pp. 169-189 ◽  
Author(s):  
Richard Swinburne
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Material Objects ◽  
Causal Powers ◽  
Quantum Field ◽  
Physical Objects ◽  
Physical Cosmology ◽  
The Universe

What does it mean to say that the Universe had a beginning? There are different ways of spelling this out. I shall develop them, consider the logical relations between them, and support one as best capturing our intuitive understanding of this notion. I shall then draw a conclusion about whether Time could (it is logically possible) have a beginning. Finally I shall consider, on my preferred understanding of what it is for the Universe to have a beginning, what physical cosmology can show about whether it did in fact have a beginning.I understand by a Universe, a system of substances temporally connected to each other. I understand by a substance a thing with causal powers or liabilities, that is able to act or be acted upon. Substances will thus include both material objects and any other physical objects there may be such as chunks of energy or the fluctuating ‘vacuum’ of quantum field theory, and immaterial objects, if there are any, such as souls and ghosts. I understand by two substances being temporally connected that they exist for periods of time which are either earlier than, overlap with, or are later than each other.

scholarly journals Emerging Quantum Fields Embedded in the Emergence of Spacetime

2018 ◽  
Author(s):  
Hans Diel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Causal Model ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Fields ◽  
Standard Quantum ◽  
Discrete Spacetime ◽  
Feynman Rules ◽  
Space Point

Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. At the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighbor space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points.  Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques  (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to  n > 3  in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.

scholarly journals Emerging Quantum Fields Embedded in the Emergence of Spacetime

2018 ◽  
Author(s):  
Hans Diel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Causal Model ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Fields ◽  
Standard Quantum ◽  
Discrete Spacetime ◽  
Feynman Rules ◽  
Space Point

Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. On the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighboring space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to n > 3 in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.

scholarly journals Emerging Quantum Fields Embedded in the Emergence of Spacetime

2018 ◽  
Author(s):  
Hans Diel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Causal Model ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Fields ◽  
Standard Quantum ◽  
Discrete Spacetime ◽  
Feynman Rules ◽  
Space Point

Based on a local causal model of the dynamics of curved discrete spacetime, a causal model of quantum field theory in curved discrete spacetime is described. At the elementary level, space(-time) is assumed to consists of interconnected space points. Each space point is connected to a small discrete set of neighbor space points. Density distribution of the space points and the lengths of the space point connections depend on the distance from the gravitational sources. This leads to curved spacetime in accordance with general relativity. Dynamics of spacetime (i.e., the emergence of space and the propagation of space changes) dynamically assigns "in-connections" and "out-connections" to the affected space points. Emergence and propagation of quantum fields (including particles) are mapped to the emergence and propagation of space changes by utilizing identical paths of in/out-connections. Compatibility with standard quantum field theory (QFT) requests the adjustment of the QFT techniques (e.g., Feynman diagrams, Feynman rules, creation/annihilation operators), which typically apply to three in/out connections, to n > 3 in/out connections. In addition, QFT computation in position space has to be adapted to a curved discrete space-time.

scholarly journals Hyperunified field theory and Taiji program in space for GWD

2018 ◽  
Vol 33 (31) ◽  
pp. 1844014 ◽  
Author(s):  
Yue-Liang Wu
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Gauge Symmetry ◽  
Laws Of Nature ◽  
Building Blocks ◽  
Space Time ◽  
Group Symmetry ◽  
Quantum Field ◽  
Hyper Space

In this paper, I present the recently established hyperunified field theory (HUFT)[Formula: see text] for all basic forces and elementary particles within the framework of gravitational quantum field theory (GQFT)[Formula: see text] in hyper-space–time. GQFT treats gravity as a gauge theory in the framework of quantum field theory to avoid the long term obstacle between general relativity and quantum mechanics. HUFT is built based on the guiding principle: the dimension of hyper-space–time correlates to intrinsic quantum numbers of basic building blocks of nature, and the action describing the laws of nature obeys the gauge invariance and coordinate independence, which is more fundamental than that proposed by Einstein for general relativity. The basic gravitational field is defined in biframe hyper-space–time as a bicovariant vector field, it is a gauge-type hyper-gravifield rather than a metric field. HUFT is characterized by a bimaximal Poincaré and hyper-spin gauge symmetry [Formula: see text] with a global and local conformal scaling invariance in biframe hyper-space–time. The gravitational origin of gauge symmetry is revealed through the hyper-gravifield that plays an essential role as a Goldstone-like field, which enables us to demonstrate the gauge-gravity and gravity-geometry correspondences and to corroborate the gravitational gauge-geometry duality with an emergent hidden general linear group symmetry [Formula: see text]. The Taiji Program in Space for the gravitational wave detection in China[Formula: see text] is briefly outlined.

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