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Escher's " angels and devils " drawing.  

Escher's " angels and devils " drawing.  

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In this work a conceptual basis for multidimensional physics (MD physics) is proposed. The new physics is based on the elastic model of multidimensional geometry [1]. Reality may be considered as the process of time evolution of holistic macro objects-elastic membranes. An embedded membrane in this multidimensional world will look different for the...

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... A possible candidate for the new conceptual basis is the elastic membrane concept introduced recently by the author (Egoyan, 2009(Egoyan, , 2012(Egoyan, , 2013. The theory is based on a new geometry which postulates that instead of being composed of points, spaces and surfaces are composed of dualistic objects -"point-connections": connections connect the points of the surface and create a metric -the distance between two points is the minimal number of connections needed to connect these points. ...
... The elastic membranes look different for internal and external observers: for the internal observers they are space-times we are used to, while from the point of view of the external observers they are material objectssurfaces with homogeneous material properties. For example, living organisms play the role of internal observers of the Universe, and at the same time they serve as external observers for two-dimensional (2D) membranes embedded into our Universe (Egoyan, 2012). ...
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In this work we show that our self-awareness and perception may be successfully explained using two dimensional holistic structures with closed topology embedded into our brains-elastic membranes. These membranes are able to preserve their structure during conscious processes. Their elastic oscillations may be associated with our perceptions, where the frequency of the oscillations is responsible for the perception of different colors, sounds and other stimuli, while the amplitude of the oscillations is responsible for the feeling of a distance. According to the model the squeezed regions of a membrane correspond to the brain zones involved into awareness and attention. The model may be useful for prediction, explanation and interpretation of various conscious phenomena.
... In this work a new solution to the hard problem of consciousness is proposed. The solution is based on the concept of elastic membrane introduced in the recent papers [1][2][3]. ...
... Undoubtedly the Penrose-Hameroff Orch OR model may be considered as a good theory for describing information processing mechanisms and holistic phenomena in the human brain [1][2][3]. The theory explains both physical and biological aspects of consciousness such as 1. ...
... The squeezed regions of the surface will correspond to the neuron's dendrites; regions corresponding to more active dendrites will be thicker. As it was shown in [3] this new geometry gives rise to a new multidimensional physics which considers reality as the process of time evolution of holistic macro objects -elastic membranes. An embedded membrane in this multidimensional world will look different for the external and internal observers: from the outside it will look like a material object with smooth infinitesimal geometry, while from the inside our Universe-like space-time fabric. ...
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In this work a new solution to the hard problem of consciousness using multidimensional approach [1-3] is proposed. It is shown that our perceptions may be interpreted as elastic oscillations of a two dimensional membrane with closed topology embedded in our brains. According to the model our universe is also a three dimensional elastic membrane embedded into the higher dimensional space-time. The model allows us to create a unified world picture where physical and perceptual aspects of the reality are complementary. We can observe our 2d self-membranes through our perceptions, which are encoded in elastic oscillations of the elastic membrane. According to the theory, elastic membranes occupy energetically favorable positions around microtubules involved into Orch OR. Elastic membranes responsible for qualia interact with our brains and provide them with information about the character of incoming stimuli (pleasant or unpleasant), they squeeze to preserve quantum coherent states producing pleasant perceptions and stretch to avoid unpleasant ones.
Conference Paper
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Most physical and mathematical theories such as Special and General Relativity theories, Quantum Mechanics and String theory are multidimensional, the number of dimensions in these theories being not fixed. The same thing may be said about geometrical and topological theories. All these theories do not require the number of dimensions to be equal to three. At the same time all these theories do not explain how spaces with different numbers of dimensions are embedded one into another, how the points of the embedded space differ from the points of the higher dimensional space and how we can define a metric on these spaces. In the present work we propose geometry which postulates that instead of being composed of points, spaces and surfaces are composed of dualistic objects - “point-connections”: connections connect the points of the surface and create a metric – the distance between two points is the minimal number of connections needed to connect these points. One-dimensional connections are closed lines, n-dimensional connections are compositions of (n-1)- dimensional connections. The theory is based on the idea introduced firstly in the smooth infinitesimal analysis according to which lines are composed of infinitesimally small linear segments. All the connections with the same number of dimensions are identical and form isotropic and homogeneous spaces. Obviously, we can assign two different metrics to the points of the embedded manifold – internal and external: the former measured from the position of the internal observer of the manifold and the latter from the position of the external observer from the higher dimensional space. The infinitesimal segments which form connections of the embedded manifold may be stretched along the infinitesimal segments of the connections of the higher dimensional space. This means that the embedded manifold can change its external metric without changing the internal one. This geometry has an intuitive and simple physical interpretation: manifolds may be associated with elastic membranes. The elastic membranes look different for internal and external observers: for the internal observers they are space-times we are used to, while from the point of view of the external observers they are material objects - surfaces with homogeneous material properties. Elementary particles are true multidimensional objects and may have different number of dimensions depending on the dimensionality of the membrane they live in. Elementary particles from the higher dimensional space cannot directly interact with particles living in the embedded elastic membrane; they interact with the embedded elastic membrane by exchanging the elastic energy with it. According to the theory the probabilistic character of Quantum Mechanics is a manifestation of higher dimensional elastic vibrations of the elastic membrane we live in (the Universe). The theory is in agreement with the experimentally proved phenomenon of quantum entanglement which points to the existence of “now” and the discovery of Higg’s boson which tells us that there is some underlying reality beyond the space-time. This approach may help us to use dimensional analogy and build a science consistent with our perceptions and imagination.