=> TIME CHEST - 2.2.3 Temporality and Absolute Simultaneity... ws expressing the (deceitfully continuous) non-Euclidean space-time in terms of its granular Euclidean complex-time space, whose granularity is expressed through the intrinsic properties of hyperbolic numbers. In this manner, the dimensions of space are dynamically formed by the linear flo ...
=> DUALITY OF TIME - 5.3.4 Relativistic Energy-Momentum Relation... ation of the relativistic energy-momentum relation from the fundamental definition of momentum is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...
=> DUALITY OF TIME - 5.3.2 Deriving Lorentz Factor... l moving at this same real speed. Figure 5.3: The actual velocity is the modulus of split-complex velocity that combines the real speed with the imaginary velocity , calculated according to hyperbolic numbers, thus: , from which we can easily calculate Lorentz boost as . Lorentz boost is t ...
=> ULTIMATE SYMMETRY - III.2.9 Method IV (complex momentum and
energy-momentum relation)... of the relativistic energy-momentum relation from the fundamental definition of momentum is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...
=> ULTIMATE SYMMETRY - I.4.4 The Dynamic Formation of
Dimensions... w of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time , so the total complex time is: , as split-complex or hyperbolic numbers. We can also notice that the instantaneous velocity in the normal time is a ...
=> ULTIMATE SYMMETRY - I.4.3 The Duality of Time Postulate... (deceitfully continuous) non-Euclidean space-time in terms of its granular and fractal complex-time space, whose granularity and fractality are expressed through the intrinsic properties of hyperbolic numbers (), i.e. without invoking Riemannian geometry, as discussed further in section I. ...
=> ULTIMATE SYMMETRY - CHAPTER I: NORMAL SYMMETRY... I, General Relativity is the first approximation for inside observers, necessarily situated within the spatial dimensions, but since the Universe is evolving we need to describe it by hyperbolic numbers , from the time perspective. So General Relativity is valid every single instance ...
=> ULTIMATE SYMMETRY - IV.4.1 Hierarchy of Number Sets... exist in nature, or even the line of real numbers, except as a limit when we keep counting for infinity; itself is not any practical concept! Figure IV.10: The hierarchical structure of the hyperbolic number dimensions. The abstract three-dimensional space R 3 is only realized instantaneou ...
=> DUALITY OF TIME - 1.3 Complex-Time Geometry... ws expressing the (deceitfully continuous) non-Euclidean space-time in terms of its granular Euclidean complex-time space, whose granularity is expressed through the intrinsic properties of hyperbolic numbers. Read Other Books: The Single Monad Model of the Cosmos: Ibn Arabi' ...
=> THE DOT POSTULATE - Author Biography... acteristics of a wep test in a sounding-rocket payload. Classical and Quantum Gravity 29 (18), 184013. Rochon, D. and M. Shapiro (2004). On algebraic properties of bicomplex and hyperbolic numbers. Anal. Univ. Oradea, fasc. math 11 (71), 110. Rohrlich, F. (1990). An elem ...
=> THE DOT POSTULATE - Author Biography... acteristics of a wep test in a sounding-rocket payload. Classical and Quantum Gravity 29 (18), 184013. Rochon, D. and M. Shapiro (2004). On algebraic properties of bicomplex and hyperbolic numbers. Anal. Univ. Oradea, fasc. math 11 (71), 110. Rohrlich, F. (1990). An elem ...
=> THE DOT POSTULATE - Method IV (complex momentum and energy-momentum relation)... ion of the relativistic energy-momentum relation from the fundamental definition of momentum is based on the Duality of Time concept, by taking into account the complex nature of time, as hyperbolic numbers, which is why the contribution of the imaginary term appears here as negative in ...
=> TIME CHEST - 3.3.2 The Dynamic Creation of Dimensions... time-time space. In the real flow of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time, as split-complex or hyperbolic numbers. In reality, however, we can conceive of at least seven levels of time , which cu ...
=> THE DOT POSTULATE - 4. A Brief General Analysis:... (deceitfully continuous) non-Euclidean space-time in terms of its granular and fractal complex-time space, whose granularity and fractality are expressed through the intrinsic properties of hyperbolic numbers ( ), i.e. without invoking Riemannian geometry, as discussed further in section 5 ...
=> THE DOT POSTULATE - 5. The Dynamic Formation of Dimensions:... w of time, one frame of space is re-created in internal chronological sequence, that then appears as one instance of the imaginary time , so the total complex time is: , as split-complex or hyperbolic numbers. We can also notice that the instantaneous velocity in the normal time is alway ...
=> ULTIMATE SYMMETRY - I.4.5 The Genuinely-Complex Time-Time
Frame... or represent the inner real part of time : , and represents the outer imaginary time , so the total complex time is , where is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbers have been also called: tes ...
=> THE DOT POSTULATE - 5.1. The Genuinely-Complex Time-Time Frame:... inates: where or represent the inner real part of time : , and represents the outer imaginary time , so the total complex time is , where is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbers have been also called: tes ...
=> The Complex-Time Frame... r time coordinates: where or represent the inner real part of time: , and represents the outer imaginary time, so the total complex time is , where is the split-imaginary unit which defines hyperbolic numbers, thus: , and its modulus is . These hyperbolic numbers have been also called: tes ...
=> DUALITY OF TIME - 5.2 Dynamic Creation and Aether... motion on x-axis only, one frame of space is created in chronological sequence that then appears as one instance of the imaginary time , so the total complex time is: , as split-complex or hyperbolic number. This Duality of Time model brings back the same classical concept of aether but i ...
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.
