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The issue which the new ideas of these new books really raise with our culture, is not about whether they are true, since these new ideas identify a valid context for physical description, and whereas the current context for math and physics (2014) cannot do that, ie they cannot describe the stable properties of a general many-(but-few)-body system. Whereas the new ideas about math and physics can be used to solve the most fundamental problems about the physical world, in regard to understanding physical stability, a problem which the current descriptive context of math and physics (2014) cannot solve. That is, "what now, in 2014, passes for math and physics knowledge are delusions."* Yet these delusions are the ideas expressed in our propaganda-education system about math and physics. Rather The real issue, which these new ideas present to our culture, is about our cultural relation to "what is beyond the material world." That is, it is about our cultural representation of religion, or the spirit. In particular, in relation to the "previous knowledge humans needed to possess" in order to make Gobekli-tepe, Puma Punku, Stonehenge, etc, ie simply to be able to lift and position such large stones, as well as the understanding which is needed to go beyond the context of the material world, and into the context of all the ancient mythologies in regard to the ancient religious stories, etc etc *The current paradigm (in 2014) describes a general state of indefi nable randomness in which there is always "a chaotic transitioning process" which exists as random elementary-particle collisions, and which, supposedly, is perpetually occurring. Thus, their description of the wide range of the generally stable states of the many-(but-few)-body systems..., into which this "forever chaotically transitioning" process supposedly settles but explicit descriptions of this process do not exist. Instead their answer is that "such stable, many-(but-few)-body systems are too complicated to describe."
This book is an introduction to the simple math patterns that can be used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes, i.e., hyperbolic space-forms), the containment set has many dimensions, and these dimensions possess macroscopic geometric properties (where hyperbolic metric-space subspaces are modeled to be discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional so that the higher dimensions are not small), and it is a math context can also be used to model a life-form as a unified, high-dimension, geometric construct that generates its own energy and which has a natural structure for memory where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both (1) material systems and of (2) the metric-spaces, which contain the material systems where material is simply a lower dimension metric-space and where both material-components and metric-spaces are in resonance with (and define) the containing space.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
This book is about a fundamental re-organization of language which is used, in regard to describing the stable many-(but-few)-body spectral-orbital systems, from nuclei to planetary systems, which, now, have no valid descriptions, based on, what are called, the laws of physics. The current description, based on partial differential equations, results in: non-linear, non-commutative, and an improperly identified and improperly used random basis for physical description. The result is that the properties of stability, which are observed for these systems, have not been describable in such a context. On the other hand, the already identified math patterns of geometrization, along with E Noethers symmetries, which allow the stable set of discrete hyperbolic shapes to be identified with energy-spaces, as well as the many-dimensional structure in which these stable shapes (of any size) are defined, as identified by D Coxeter, are patterns which can be used to form a new context for physical description. This is what this book is about, forming such a new context, wherein, the stable many-(but-few)-body spectral system is formulated and accurately described, ie it is solved. In such a new context, partial differential equations come to play a subordinate role to stable shapes and their relation to defining a finite stable spectral-set, which is a property of the, new, many-dimensional containment-set, a property which determines which stable patterns can exist. But there are many social forces which oppose such a discussion. These opposing social forces are also discussed.t
This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.
Machine learning methods such as neural networks, non-linear dimensionality reduction techniques, random forests and others meet in this research topic with biomolecular simulations. The authors of eight articles applied these methods to analyze simulation results, accelerate simulations or to make molecular mechanics force fields more accurate.