Top Pages Related to: Hyperbolic Space
=> DUALITY OF TIME - 3.3.4 The FLRW Metric... 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 ...
=> TIME CHEST - 3.3.2 The Dynamic Creation of Dimensions... correspondence principle is fulfilled by the Duality of Time Theory, because the semi-Riemannian geometry on the real space R is a special approximation of this complex-time geometry on the hyperbolic space H, so General Relativity is produced when we consider space and matter to be coexis ...
=> THE DOT POSTULATE - Introduction... correspondence principle is fulfilled by the Duality of Time Theory, because the semi-Riemannian geometry on the real space R is a special approximation of this complex-time geometry on the hyperbolic space H, so General Relativity is produced when we consider space and matter to be coexis ...
=> Message from the Author... correspondence principle is fulfilled by the Duality of Time Theory, because the semi-Riemannian geometry on the real space R is a special approximation of this complex-time geometry on the hyperbolic space H, so General Relativity is produced when we consider space and matter to be coexis ...
=> ULTIMATE SYMMETRY - I.2.1 Fractals and Divergent Series... er to be able to square the circle in Euclidean geometry, we need to redefine space by taking into account the actual geometry of creation, or the genuinely-complex nature of time using the hyperbolic space, or the split-complex numbers. This is the only way we can calculate with fin ...
=> DUALITY OF TIME - Chapter III: Modern Physics and Cosmology... eld (1868-1951) using vector notation. As Poincaré already showed before, the standard Lorentz transformations become translations in imaginary time that can be expressed in terms of hyperbolic space. As we noticed above, however, this mathematical trick of using complex numbers doe ...
=> ULTIMATE SYMMETRY - II.1.3 The Fundamental Interactions... s we shall discuss in section IV.4.3, in the Duality of Time Theory, all fundamental interactions are manifestations of the genuinely-complex time-time geometry which produce a granular and hyperbolic space as a result of breaking the original symmetry of the three-dimensional Euclidean sp ...
=> DUALITY OF TIME - 7.3.1 The Problem of Infinity... er to be able to square the circle in Euclidean geometry, we need to redefine space by taking into account the actual geometry of creation, or the genuinely-complex nature of time using the hyperbolic space, or the split-complex numbers as explained in chapter V. This is the only way we ca ...
=> ULTIMATE SYMMETRY - About this Book... of super symmetry, being the symmetry of fermions, or physical particles, is defined by Lorentz transformation, but also with some essential modifications that reveal the granularity of the hyperbolic space where super symmetry is realized. The Duality of Time theory provides a clear trans ...
=> Temporal Numbers... uclidean geometry can efficiently describe existence in (three-dimensional) space at any instance of time, but without motion or change, i.e. without time! To describe the dynamic geometry, hyperbolic space is required. The reason why Euclidean or Hilbert spaces, even with Riemannian geome ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... eates the very structure of geometry, and it will be the gate for a new era in the history of science and philosophy. According to the “Duality of Time Theory”, which is based on the “ SINGLE MONAD MODEL ”, the whole cosmos, including space and what it contains of matter particles, i ...
... dations of physics and mathematics, because it delineates the very structure of geometry, and it will be the gate for a new era in the history of science and philosophy. According to the “ DUALITY OF TIME Theory”, which is based on the “Single Monad Model”, the whole cosmos, includi ...
... nstantaneous generation of matter particles and antiparticles, which then simultaneously repair and vanish into the past, just to be re-created again, perpetually. As we described in the “ ULTIMATE SYMMETRY ”, this perpetual and sequential dynamic formation causes the illusion of motion ...
... ually, as we have shown in the first three volumes of the Single Monad Model series, this genuine complex-time geometry provided elegant solutions to many persisting problems in physics and cosmology, including causality, non-locality, homogeneity, the arrow of time, the mass-gap, the cosm ...
... e and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... lativity in the early 19 th century, many other non-Euclidean geometries were introduced. The main motivation was the newly discovered relation between space and time, together termed as “space-time”, which implied that physical space itself is not uniform anymore, as it was treated in ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... lity, homogeneity, the arrow of time, the mass-gap, the cosmological constant, super-symmetry and matter-antimatter asymmetry, in addition to reconciling the inherent contradictions between GENERAL RELATIVITY and Quantum Mechanics, by providing the smooth link between “discreteness” an ...
... arrow of time, the mass-gap, the cosmological constant, super-symmetry and matter-antimatter asymmetry, in addition to reconciling the inherent contradictions between General Relativity and QUANTUM MECHANICS , by providing the smooth link between “discreteness” and “continuity”. The ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
... re. However, the Theory of Relativity, whether in its Special or General versions, and in its classical or modern formulations; although it showed that space and time are connected, via the speed of light, it did not explain the nature of this connection and how exactly does it affect the ...
... ded elegant solutions to many persisting problems in physics and cosmology, including causality, non-locality, homogeneity, the arrow of time, the mass-gap, the cosmological constant, super-symmetry and matter-antimatter asymmetry, in addition to reconciling the inherent contradictions bet ...
... time! This theory leads to the Ultimate Symmetry of Space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time. ...
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.
