Equivalence Principle and Geodesic De Broglie Waves ---The Role of Cosmological Zero-Point Fluctuation of Metric in the Generation of Mass Spectrum and in the Slowed Down Expansion of the Universe---

Details Equivalence Principle and Geodesic De Broglie Waves ---The Role of Cosmological Zero-Point Fluctuation of Metric in the Generation of Mass Spectrum and in the Slowed Down Expansion of the Universe--- Equivalence Principle and Geodesic De Broglie Waves ---The Role of Cosmological Zero-Point Fluctuation of Metric in the Generation of Mass Spectrum and in the Slowed Down Expansion of the Universe---

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970pthph..44..801h&link_type=abstract

Progress of Theoretical Physics, Vol. 44, No. 3, pp. 801-807

Physics

1

Scientific paper

An idea is proposed to construct the geodesic structure of space-time from quantized world lines of long-lived massive elementary particles (Nambu particles). It is postulated that quantized orbits of Nambu particles are indistinguishable from one another in the gravitational field so that the principle of weak equivalence holds for Nambu particles. Assuming that the geodesic postulate (stating that a world line is a geodesic) is valid for quantized world lines of Nambu particles, we arrive at a picture of wavelike geodesic tubes of radius ˜ 10-33 cm and wavelength ˜ 10-13 cm which can interfere with themselves. It is suggested that the wavelike geodesic is a consequence of the cosmological zero-point fluctuation of the quantized metric and that the Nambu's mass spectrum is a manifestation of the quantized fluctuating metric. The fluctuating metric is, however, made to be undetectable by Nambu particles owing to the gravitational Bohm-Aharonov effect which makes the wave mechanical diffraction of quantized geodesic lines disappear in regions surrounding the quantized fluctuation. The undetectability is also explained in terms of local compensation of the gravitational potential associated with the fluctuating metric by the ``rest energy of the wavelike geodesic''. It is conjectured that the uncompensated gravitational interaction between vibrating geodesics is responsible for the slowed down expansion of the universe during the period corresponding to the red shift z = 1.95 of the absorption lines in the quasar spectrum.

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