scholarly journals On the Space–Time Uncertainty Relations of Liouville Strings and D-Branes

1997 ◽  
Vol 12 (27) ◽  
pp. 2029-2035 ◽  
Author(s):  
G. Amelino-Camelia ◽  
N. E. Mavromatos ◽  
John Ellis ◽  
D. V. Nanopoulos
Keyword(s):  
String Theory ◽  
Commutation Relation ◽  
Uncertainty Relation ◽  
Space Time ◽  
Uncertainty Relations ◽  
Time Uncertainty ◽  
Space And Time

Within a Liouville approach to noncritical string theory, we argue for a nontrivial commutation relation between space and time observables, leading to a nonzero space–time uncertainty relation δx δt>0, which vanishes in the limit of weak string coupling.

scholarly journals WHY THERE IS SOMETHING SO CLOSE TO NOTHING: TOWARDS A FUNDAMENTAL THEORY OF THE COSMOLOGICAL CONSTANT

2007 ◽  
Vol 22 (10) ◽  
pp. 1797-1818 ◽  
Author(s):  
VISHNU JEJJALA ◽  
DJORDJE MINIC
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Uncertainty Relation ◽  
Space Time ◽  
Large Size ◽  
Minkowski Space Time ◽  
The Universe ◽  
Canonical Quantum

The cosmological constant problem is turned around to argue for a new foundational physics postulate underlying a consistent quantum theory of gravity and matter, such as string theory. This postulate is a quantum equivalence principle which demands a consistent gauging of the geometric structure of canonical quantum theory. We argue that string theory can be formulated to accommodate such a principle, and that in such a theory the observed cosmological constant is a fluctuation about a zero value. This fluctuation arises from an uncertainty relation involving the cosmological constant and the effective volume of space–time. The measured, small vacuum energy is dynamically tied to the large "size" of the universe, thus violating naive decoupling between small and large scales. The numerical value is related to the scale of cosmological supersymmetry breaking, supersymmetry being needed for a nonperturbative stability of local Minkowski space–time regions in the classical regime.

scholarly journals SPACE–TIME UNCERTAINTY PRINCIPLE FROM BREAKDOWN OF TOPOLOGICAL SYMMETRY

1998 ◽  
Vol 13 (03) ◽  
pp. 203-209 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Uncertainty Principle ◽  
Uncertainty Relation ◽  
Space Time ◽  
Topological Quantum Field Theory ◽  
Time Interval ◽  
Quantum Field ◽  
Higher Symmetry ◽  
Time Uncertainty ◽  
Topological Quantum ◽  
Large N

Starting from topological quantum field theory, we derive space–time uncertainty relation with respect to the time interval and the spatial length proposed by Yoneya through breakdown of topological symmetry in the large-N matrix model. This work suggests that the topological symmetry might be an underlying higher symmetry behind the space–time uncertainty principle of string theory.

scholarly journals SPACE-TIME UNCERTAINTY AND NONCOMMUTATIVITY IN STRING THEORY

2001 ◽  
Vol 16 (05) ◽  
pp. 945-955 ◽  
Author(s):  
TAMIAKI YONEYA
Keyword(s):  
Quantum Mechanics ◽  
String Theory ◽  
Uncertainty Principle ◽  
Space Time ◽  
Field Theories ◽  
Time Uncertainty ◽  
Spatial Coordinates ◽  
Temporal And Spatial

We analyze the nature of space-time nonlocality in string theory. After giving a brief overview on the conjecture of the space-time uncertainty principle, a (semi-classical) reformulation of string quantum mechanics, in which the dynamics is represented by the noncommutativity between temporal and spatial coordinates, is outlined. The formalism is then compared to the space-time noncommutative field theories associated with nonzero electric B-fields.

scholarly journals Pointlike D-brane Dynamics and Space-Time Uncertainty Relation

1997 ◽  
Vol 78 (7) ◽  
pp. 1219-1222 ◽  
Author(s):  
Miao Li ◽  
Tamiaki Yoneya
Keyword(s):  
Uncertainty Relation ◽  
Space Time ◽  
Time Uncertainty

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

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