The Duality of Time Theory, that results from the Single Monad Model of the Cosmos, explains how physical multiplicity is emerging from absolute (metaphysical) Oneness, at every instance of our normal time! This leads to the Ultimate Symmetry of space and its dynamic formation and breaking into the physical and psychical (supersymmetrical) creations, in orthogonal time directions. General Relativity and Quantum Mechanics are complementary consequences of the Duality of Time Theory, and all the fundamental interactions become properties of the new granular complex-time geometry, at different dimensions. - => Conference Talk - Another Conference [Detailed Presentation]
Complex-Time Geometry and Perpetual Creation of Space
Einstein Field Equations are a set of ten equations that describes the curvature of space-time due to the presence of mass and energy, and they are written in tensor form that simply equates the curvature with the energy and momentum:
The tensors here are written in abstract index notation using the two indexesand
that represent the four dimensions of space-time. The tensor
is the Ricci curvature tensor,
is the scaler curvature,
is the metric tensor, and
is the stress-energy tensor. The constant
is the cosmological constant which was added later as we shall mention below, and we shall discuss it further in section 9.21. The constants
and
, on the right side of the equation, are Newton’s gravitational constant, and the speed of light in vacuum, respectively. The left side of the equation is usually defined as Einstein tensor:
, which is a symmetric second-rank tensor that is a function of the metric
.
This relationship between the Einstein tensor and the metric tensor allows the equations to be written as a set of non-linear partial differential equations, whose solutions are the components of the metric tensor. However, exact solutions can not be found without further assumptions to simplify the analysis. Various solutions are tailored to model many gravitational phenomena, such as rotating black holes, expanding Universe, and gravitational waves.
The derivation of Einstein’s equations from an action allows for easy unification of General Relativity with other classical field theories, such as Maxwell theory of Electromagnetism, which are also formulated in terms of an action. In the process, the derivation from an action identifies a natural candidate for the source term coupling the metric to matter fields. Moreover, the action allows for the easy identification of conserved quantities through Noether’s theorem by studying the symmetries of the action.
In General Relativity, the action is usually assumed to be a functional of the metric and matter fields, and the connection is given by the Levi-Civita connection. The Palatini formulation of General Relativity assumes the metric and connection to be independent, which makes it possible to include fermionic matter fields with non-integral spin.
The Einstein equations in the presence of matter are given by adding the matter action to the Einstein-Hilbert action.
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I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!
By revealing the mystery of the connection between discreteness and contintuity, this novel understanding of the complex (time-time) geometry, will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures.
Enjoy reading...
Mohamed Haj Yousef
Check this detailed video presentation on "Deriving the Principles of Special, General and Quantum Relativity Based on the Single Monad Model Cosmos and Duality of Time Theory".
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