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8,007
ON THE MINIMAL LENGTH OF SEMIGROUP PRESENTATIONS
"... Abstract. We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases. ..."
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Abstract. We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases.
Minimal Length Scale in Annihilation
, 907
"... Experimental data suggest the existence of a minimal length scale in annihilation process for the reaction e + e − → γγ(γ). Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition predicts, for an arbitrary gauge invariant lagrangian, the existence of a spinning charge ..."
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Experimental data suggest the existence of a minimal length scale in annihilation process for the reaction e + e − → γγ(γ). Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition predicts, for an arbitrary gauge invariant lagrangian, the existence of a spinning
Quantum Minimal Length and
, 1999
"... In this paper,we first give arguments supporting the idea that a B.T.Z black hole can face a transplanckian problem even when its mass is small. K.M.M quantum theory is applied to the Hawking evaporation of Schwarzchild and B.T.Z black holes.Working in the physically safe quasi position representati ..."
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representation, we argue that the oscillating term present in a previous analysis is removed so that actually one doesn’t need an average procedure.We expand the s wave function as the exponential of a series in the minimal length of the new quantum theory.This reduces an infinite order differential equation
Minimal Length Uncertainty and Exchanging Forces
"... Abstract: A geometrical analysis of exchanging forces is reported based on the minimal length uncertainty. It is shown that the range of exchanging forces receives a new correction. Key words: Exchanging forces Minimal length uncertainty Planck scale ..."
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Abstract: A geometrical analysis of exchanging forces is reported based on the minimal length uncertainty. It is shown that the range of exchanging forces receives a new correction. Key words: Exchanging forces Minimal length uncertainty Planck scale
Casimir Effect in the Presence of Minimal Lengths
, 2005
"... It is expected that the implementation of minimal length in quantum models leads to a consequent lowering of Planck’s scale. In this paper, using the quantum model with minimal length of Kempf et al [3], we examine the effect of the minimal lenght on the Casimir force between parallel plates. PACS n ..."
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It is expected that the implementation of minimal length in quantum models leads to a consequent lowering of Planck’s scale. In this paper, using the quantum model with minimal length of Kempf et al [3], we examine the effect of the minimal lenght on the Casimir force between parallel plates. PACS
Estimating the minimal length of Tardos code
"... Abstract. This paper estimates the minimal length of a binary probabilistic traitor tracing code. We consider the code construction proposed by G. Tardos in 2003, with the symmetric accusation function as improved by B. Skoric et al. The length estimation is based on two pillars. First, we consider ..."
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Cited by 16 (4 self)
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Abstract. This paper estimates the minimal length of a binary probabilistic traitor tracing code. We consider the code construction proposed by G. Tardos in 2003, with the symmetric accusation function as improved by B. Skoric et al. The length estimation is based on two pillars. First, we consider
On Minimal Length Factorizations of Finite Groups
, 2003
"... Logarithmic signatures are a special type of group factorizations, introduced as basic components of certain cryptographic keys. Thus, short logarithmic signatures are of special interest. We deal with the question of nding logarithmic signatures of minimal length in nite groups. In particular ..."
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Cited by 4 (0 self)
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Logarithmic signatures are a special type of group factorizations, introduced as basic components of certain cryptographic keys. Thus, short logarithmic signatures are of special interest. We deal with the question of nding logarithmic signatures of minimal length in nite groups
Large Extra Dimensions and the Minimal Length
, 2004
"... Large extra dimensions lower the Planck scale to values soon accessible. Motivated by String Theory, the models of large extra dimensions predict a vast number of new effects in the energy range of the lowered Planck scale, among them the production of TeV-mass black holes and gravitons. But not onl ..."
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. But not only is the Planck scale the energy scale at which effects of modified gravity become important. String Theory as well as non-commutative quantum mechanics suggest that the Planck length acts as a minimal length in nature, providing a natural ultraviolet cutoff and a limit to the possible resolution
Results 1 - 10
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