scholarly journals Space–time uncertainty relation from quantum and gravitational principles

2008 ◽  
Vol 666 (4) ◽  
pp. 371-375 ◽  
Author(s):  
Yi-Xin Chen ◽  
Yong Xiao
Keyword(s):  
Uncertainty Relation ◽  
Space Time ◽  
Time Uncertainty

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 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 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

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.

Examining the Role of Free Carrier Concentration on the Phonon Lifetimes in GaN Using Raman Spectroscopy

2007 ◽  
Author(s):  
Thomas Beechem ◽  
Samuel Graham
Keyword(s):  
Raman Spectroscopy ◽  
Thermal Performance ◽  
Uncertainty Relation ◽  
Free Carrier ◽  
Optical Phonons ◽  
Time Uncertainty ◽  
Longitudinal Phonon ◽  
Optical Modes ◽  
Carrier Interaction

The lifetimes of polar optical phonons are known to affect the electrical and thermal performance of gallium nitride (GaN) based devices. Utilizing the energy-time uncertainty relation, this study investigates these lifetimes using Raman spectroscopy for a series of samples having free carrier concentrations ranging from 1.24e18 to 3e17 cm−3. By measuring across the typical operating temperatures of these devices, the mechanisms responsible for scattering of 5 separate optical modes are elucidated. It is found that phonon-carrier interaction directly determines the lifetime of the polar optical A1(LO) mode while indirectly influencing the modes into which this longitudinal phonon decays, namely, E1 and A1(TO). Thus understanding the entire phonon energy cascade is vital both for management of the so called “hot phonon” effect as well as modeling of carrier-phonon interactions.

scholarly journals Exact energy–time uncertainty relation for arrival time by absorption

2012 ◽  
Vol 45 (18) ◽  
pp. 185301 ◽  
Author(s):  
Jukka Kiukas ◽  
Andreas Ruschhaupt ◽  
Piet O Schmidt ◽  
Reinhard F Werner
Keyword(s):  
Arrival Time ◽  
Uncertainty Relation ◽  
Time Uncertainty ◽  
Exact Energy

scholarly journals Derivation of the energy-time uncertainty relation

1994 ◽  
Vol 50 (2) ◽  
pp. 933-938 ◽  
Author(s):  
Donald H. Kobe ◽  
V. C. Aguilera-Navarro
Keyword(s):  
Uncertainty Relation ◽  
Time Uncertainty
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