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On the geometry of the space-time and motion of the spinning bodies

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Trenčevski K.

Open Physics

2013

vol. 11

issue 3

296-316

In this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time and the reasons for its introduction are presented. Alongside the 3-dimensional space (S) the 3-dimensional space of spatial rotations (SR) is considered independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3 × 3 matrices in this 3+3+3-dimensional space. Special attention is dedicated for introduction and study of the space S × SR, which appears to be isomorphic to SO(3,ℝ) × SO(3,ℝ) or S 3 × S 3. The influence of the gravitational acceleration to the spinning bodies is considered. Some important applications of these results about spinning bodies are given, which naturally lead to violation of Newton’s third law in its classical formulation. The precession of the spinning axis is also considered.

Geodetic precession and frame dragging observed far from massive objects and close to a gyroscope

63%

Trenčevski K., Celakoska E.

Open Physics

2011

vol. 9

issue 3

654-661

Total precession (geodetic precession and frame dragging) depends on the velocity of each source of gravitation, which means that it depends on the choice of the coordinate system. We consider the latter as an anomaly specifically in the Gravity Probe B experiment, we investigated it and solved this anomaly. Thus, we proved that if our present expression for the geodetic precession is correct, then the frame dragging should be 25% less than its predicted value.

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2 Open Physics

1 2013

1 2011

2 Trenčevski K.

1 Celakoska E.

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On the geometry of the space-time and motion of the spinning bodies

Geodetic precession and frame dragging observed far from massive objects and close to a gyroscope