Quantum Metrology: Towards an alternative definition for the meter

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Zois, Ioannis P.^1

Testing, Research and Standards Centre, Public Power Corporation, 9, Leontariou Street, Pallini, Athens

GR-153 51, Greece^1

关键词: Dirac operators;    K -cycle;    Keypoints;    Non-commutative geometry;    Quantum field theory;    Quantum metrology;    Quantum state;    Space time;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012067/pdf
DOI  :  10.1088/1742-6596/738/1/012067

来源: IOP

【 摘 要 】

The motivation for this work came from an attempt to give an alternative definition for the meter, the SI unit for measuring length. As a starting point towards this goal we present the underlying theory behind our approach which uses ideas from quantum field theory and non-commutative geometry, in particular the notion of an odd K-cycle which is based on the Dirac operator (and its inverse, the Dirac propagator). Using physics terminology, the key point in our strategy is this: instead of measuring ordinary length in space-time we measure the "algebraic (or spectral) length" in the space of quantum states of some fermion acted upon by the Dirac propagator.