![]() ![]() In the new gravitation, the photon’s equivalent gravitational acceleration is twice of the acceleration in Newton Gravitation. The new gravitation is simpler than the General Relativity. In the new gravitation, the energy is conserved. The space-time is flat in the new gravitation, not is curved. This difference can be a experimental test to distinguish which one is more realistic. But even under approximate weak gravity condition, if the orbit is not approximate circular, if the orbit has higher eccentricity, there exists obvious difference between the General Relativity and the new gravitation. The four classic experimental tests, the deflection of light by the sun, the precession of mercury, the red shift of light by the sun, the radar echo delay, are experimental tests to the new gravitation also. Under approximate weak gravity and approximate circular orbit condition, the new gravitation is equivalent to the General Relativity. The gravitational mass is only equivalent to the rest mass. But any particle can be affected by gravity. The particle can’t be the gravity source if the particle not has rest mass. In the new gravitation, the gravity source is only the rest mass, not energy. In the new gravitation, there only have inertial coordinates, not have non-inertial coordinates. In the new gravitation, there does not have gravitational acceleration. Equivalence principle is invalid in the new gravitation. In 5-dimensional space-time, there not have gravity. Gravity only exists in 4-dimensional space-time. The new gravity can be seen as some kind of symmetry. The new gravity is an extension to Lorentz symmetry. ![]() The gravity is an additional projection force of Lorentz symmetry. The Lorentz symmetry is a projection of particle-wave symmetry from 5-dimensional space-time into 4-dimensional space-time. Gravity is a projection force from 5-dimensional space-time into 4-dimensional space-time. ![]() The probability of the transition is peaked at Λ = 0.A new gravity theory. As an example, we analyze the case with the spin quantum number s = 2, for which we determine transition amplitude between initial and final state of the classical trajectory. Furthermore, the quantum version of the model is investigated and the quantum constraint is solved. In particular, the phase of recollapse appears, preventing the Universe from expanding to infinite volume. Analysis of the dynamics reveals that the compactness of the phase space leads to both UV and IR effects. The phase space is generalized to the spherical case, and the case of loop quantum cosmology is recovered in the cylindrical phase space limit. In the affine limit, the model reduces to the flat de Sitter cosmology. ![]() We investigate the procedure of compactification of the phase space on a minisuperspace gravitational model with two-dimensional phase space. The purpose of this article is to study the idea of generalizing the theory of gravity by compactification of the phase space. Because of this, field variables may tend to infinity, leading to appearance of singularities, which plague Einstein’s theory of gravity. The kinematical phase space of classical gravitational field is flat (affine) and unbounded. ![]()
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