Time, gravity and the exterior angle of parallelism

摘要

Applying calculus to the horizontal and vertical unit hyperbolas we derive the obtuse exterior and the acute angel of parallelism formulas for the arc length of a unit circle. When the analogous arc length of a hyperbola is figured, we further define metric distance with radian measure. Employing a non-conventional velocity of light formula, we explain several aspects of physics with a logical geometry. The hyperbolic geometry Lobacevskii angle of parallelism is mathematically measured to agree with the physical measure, without using ht gravitational constant, but rather the electro- magnetic spectrum and geodesics.