... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...
... onal space of uniform curvature, that is, elliptical space, Euclidean space, or hyperbolic space. It is normally written as a function of three spatial coordinates. In reduced-circumference POLAR COORDINATES the spatial metric has the form: (3.13) Here, , is a constant representing the cur ...
... ric properties of homogeneity and isotropy; Einstein’s field equations are only needed to derive the scale factor of the Universe as a function of time. This model is also called the Standard Model of modern cosmology, which is also associated with the further developed Lambda-CDM m ...
... ric properties of homogeneity and isotropy; Einstein’s field equations are only needed to derive the scale factor of the Universe as a function of time. This model is also called the Standard Model of modern cosmology, which is also associated with the further developed Lambda-CDM m ...
... nent of the metric can be time-dependent. The generic metric which meets these conditions is: (3.12) where ranges over a 3-dimensional space of uniform curvature, that is, elliptical space, Euclidean space, or hyperbolic space. It is normally written as a function of three spatial coordina ...
... mogeneity and isotropy of space, and assumes that the spatial component of the metric can be time-dependent. The generic metric which meets these conditions is: (3.12) where ranges over a 3- DIMENSIONAL SPACE of uniform curvature, that is, elliptical space, Euclidean space, or hyperbolic sp ...
... e exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...
... homogeneity and isotropy; Einstein’s field equations are only needed to derive the scale factor of the Universe as a function of time. This model is also called the Standard Model of MODERN COSMOLOGY , which is also associated with the further developed Lambda-CDM model, as described ...
... an be time-dependent. The generic metric which meets these conditions is: (3.12) where ranges over a 3-dimensional space of uniform curvature, that is, elliptical space, Euclidean space, or HYPERBOLIC SPACE . It is normally written as a function of three spatial coordinates. In reduced-circ ...
... cumference polar coordinates the spatial metric has the form: (3.13) Here, , is a constant representing the curvature of space, which may be taken to have units of length-2, and is like the Schwarzschild radius, as well as the other parameters, as we have seen in section 3.3 above. ...
... y one on a space-time that is spatially homogeneous and isotropic, but this is a geometric result that is not tied specifically to the equations of General Relativity. The FLRW metric is an EXACT SOLUTION of Einstein’s field equations which describes a homogeneous, isotropic, expand ...
... ate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...
, twice the modern kinetic energy. He realized that the total energy would be conserved in certain mechanical systems, so he considered it an innate motive characteristic of matter. Here too his thinking gave rise to another regrettable nationalistic dispute. His vis viva was seen as rivaling the conservation of momentum championed by Newton in England and by Descartes in France; hence academics in those countries tended to neglect Leibniz’s idea. In reality, both energy and momentum are conserved, so the two approaches are equally valid.
The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.
