Abstract
Experimental data reveal with a 5σsignificance the existence of a characteristic minimal lengthle=1.57×10-17 cm at the scaleE=1.253TeV in the annihilation reactione+e-→γγ(γ). Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition predicts, for an arbitrary gauge invariant Lagrangian, the existence of spinning charged electromagnetic soliton asymptotically Kerr-Newman for a distant observer with the gyromagnetic ratiog=2. Its internal structure includes a rotating equatorial disk of de Sitter vacuum which has properties of a perfect conductor and ideal diamagnetic, displays superconducting behavior, supplies a particle with the finite positive electromagnetic mass related to breaking of space-time symmetry, and gives some idea about the physical origin of a minimal length in annihilation.
Highlights
The concept of a minimal length suggested by path-integral quantisation [1], string theory [2, 3], black hole physics [4], and quantum gravity [5, 6] has been introduced into quantum mechanics and quantum field theory through generalised uncertainty principle which restricts an accuracy Δl in measuring a particle position by a certain finite minimal length scale lm related to maximal resolution [7,8,9]
The increase of significance in our research is caused by the increase of statistics, since we used in our χ2 test the most extensive available data set.) To find a possible generic physical mechanism responsible for appearance of the minimal length in annihilation related to gravity without appealing to extra dimensions, we apply the results obtained in nonlinear electrodynamics coupled to gravity (NED-GR) for generic features of spinning electrically charged soliton asymptotically Kerr-Newman for a distant observer
Nonlinear electrodynamics coupled to gravity provides an effective cohesive force related to negative pressure
Summary
The concept of a minimal length suggested by path-integral quantisation [1], string theory [2, 3], black hole physics [4], and quantum gravity [5, 6] has been introduced into quantum mechanics and quantum field theory through generalised uncertainty principle which restricts an accuracy Δl in measuring a particle position by a certain finite minimal length scale lm related to maximal resolution [7,8,9] (for a review [10]). The increase of significance in our research is caused by the increase of statistics, since we used in our χ2 test the most extensive available data set.) To find a possible generic physical mechanism responsible for appearance of the minimal length in annihilation related to gravity without appealing to extra dimensions, we apply the results obtained in nonlinear electrodynamics coupled to gravity (NED-GR) for generic features of spinning electrically charged soliton asymptotically Kerr-Newman for a distant observer. Nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition (nonnegative density as measured along any timelike curve) predicts, for an arbitrary gauge invariant lagrangian, the existence of a spinning charged soliton (a regular finite-energy solution of the nonlinear field equations, localized in the confined region and holding itself together by its own self-interaction) asymptotically Kerr-Newman for a distant observer with the gyromagnetic ratio g = 2 [69].
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