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Maurizio Iβα

@Dragonmaurizio • 7,107 subscribers

🔬Independent #Quantum researcher 🔭 #Skywatcher ⚛️ Regenerative #Energy Systems

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In General Relativity and Quantum Gravity, diffeomorphism often called diffeomorphism invariance or general covariance is an isomorphism of differentiable manifolds that defines the physical nature of spacetime. Rather than a mathematical tool, diffeomorphism is a smooth, bijective (invertible) mapping between two open sets where both the function and its inverse are continuously differentiable, ensuring that not only are the spaces homeomorphic (topologically equivalent), but they also share the same basic regarding calculus/differentiation. Diffeomorphism ensures that the equations of physics are independent of the coordinate system used, preserving the fluid structure of warped or deformed shapes without tearing, ripping, or creating holes. 🔗

In General Relativity and Quantum Gravity, diffeomorphism often called diffeomorphism invariance or general covariance is an isomorphism of differentiable manifolds that defines the physical nature of spacetime. Rather than a mathematical tool, diffeomorphism is a smooth, bijective (invertible) mapping between two open sets where both the function and its inverse are continuously differentiable, ensuring that not only are the spaces homeomorphic (topologically equivalent), but they also share the same basic regarding calculus/differentiation. Diffeomorphism ensures that the equations of physics are independent of the coordinate system used, preserving the fluid structure of warped or deformed shapes without tearing, ripping, or creating holes. 🔗

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The theory of higher order topological dynamics, which combines multilevel interactions between discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems such as the functions of the nervous system, the development of next-generation machine learning and the creation of advanced nodal processing algorithms. An important and unexpected collective behavior of signal processing in multilevel nodal networks has been observed to lead to a synchronization and diffusion of the irrotational and the solenoidal components of the systems revealing a deep relation of these mechanisms with the complexity of discrete topology. The perspective of the preliminary study linked here offers insights into how topology morphs dynamics, how dynamics stem from topology and how topology evolves dynamically. 🔗

The theory of higher order topological dynamics, which combines multilevel interactions between discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems such as the functions of the nervous system, the development of next-generation machine learning and the creation of advanced nodal processing algorithms. An important and unexpected collective behavior of signal processing in multilevel nodal networks has been observed to lead to a synchronization and diffusion of the irrotational and the solenoidal components of the systems revealing a deep relation of these mechanisms with the complexity of discrete topology. The perspective of the preliminary study linked here offers insights into how topology morphs dynamics, how dynamics stem from topology and how topology evolves dynamically. 🔗

40,749 просмотров

New Subquantum Informational Mechanics framework (NMSI). A radical mathematical shift in fundamental physics is introduced in the NMSI, inferring that information rather than energy or matter is the fundamental substrate of reality. The Universe isn’t expanding and doesn’t die thermally, the vacuum is not empty, but is an active medium composed of elementary units of information called infobits which self-organize through progressive compaction onto dynamically viable structures. The cosmic evolution is governed by optimal informational transport modeled upon a substrate called the Riemann Oscillatory Network (RON). The radical concept treats physical fields such as EM & gravity as emergent properties of a Coherent Logical Oscillator influenced by the Riemann zeta function (ζ) that governs the organization of space, time and mass. 🔗

New Subquantum Informational Mechanics framework (NMSI). A radical mathematical shift in fundamental physics is introduced in the NMSI, inferring that information rather than energy or matter is the fundamental substrate of reality. The Universe isn’t expanding and doesn’t die thermally, the vacuum is not empty, but is an active medium composed of elementary units of information called infobits which self-organize through progressive compaction onto dynamically viable structures. The cosmic evolution is governed by optimal informational transport modeled upon a substrate called the Riemann Oscillatory Network (RON). The radical concept treats physical fields such as EM & gravity as emergent properties of a Coherent Logical Oscillator influenced by the Riemann zeta function (ζ) that governs the organization of space, time and mass. 🔗

11,137 просмотров

In classical differential geometry the Ricci curvature is a unit of measure that defines the curvature of a manifold at a given point. It is expressed as the contraction of the Riemann tensor which equates the progressive curvature of a manifold. The Ricci curvature is essential in the study of Einstein field equations which relates the curvature of spacetime to the mass and its energy density. When studying #quantum field theory in curved spacetime, the Ricci curvature plays a vital role in the equations of motion for particles and fields, it’s specifically used to measure the curvature of the Fermi surface, which is a starting condition of electronic properties in the Hilbert space.

In classical differential geometry the Ricci curvature is a unit of measure that defines the curvature of a manifold at a given point. It is expressed as the contraction of the Riemann tensor which equates the progressive curvature of a manifold. The Ricci curvature is essential in the study of Einstein field equations which relates the curvature of spacetime to the mass and its energy density. When studying #quantum field theory in curved spacetime, the Ricci curvature plays a vital role in the equations of motion for particles and fields, it’s specifically used to measure the curvature of the Fermi surface, which is a starting condition of electronic properties in the Hilbert space.

34,646 просмотров

Unlocking Zero Point Energy. The Casimir effect is a spontaneous force which has potential applications as free source of energy. The effect can be manifesting as a repulsive tendency between two conductive plates in a vacuum environment or can be a phenomenon of attraction between the same plates. A number of characteristics determine the attraction or repellence. The current understanding of the Casimir effect is based on the interaction between the fluctuations in energy density of the vacuum and van der Waals forces at play. The vacuum is thought to be the primary driver in the dynamical effect while the van der Waals contributes to the attraction. Because the Casimir torque arise from the #quantum fluctuations of energy or, more precisely from the zero point energy of materials and their dependence on the boundary conditions of the electromagnetic fields, these kinetic forces can be tailored, this raises the intriguing possibility of exploiting it for free energy. 🔗

Unlocking Zero Point Energy. The Casimir effect is a spontaneous force which has potential applications as free source of energy. The effect can be manifesting as a repulsive tendency between two conductive plates in a vacuum environment or can be a phenomenon of attraction between the same plates. A number of characteristics determine the attraction or repellence. The current understanding of the Casimir effect is based on the interaction between the fluctuations in energy density of the vacuum and van der Waals forces at play. The vacuum is thought to be the primary driver in the dynamical effect while the van der Waals contributes to the attraction. Because the Casimir torque arise from the #quantum fluctuations of energy or, more precisely from the zero point energy of materials and their dependence on the boundary conditions of the electromagnetic fields, these kinetic forces can be tailored, this raises the intriguing possibility of exploiting it for free energy. 🔗

23,552 просмотров

⏳Time is but the main component of space which we measure in density. Inspired by John Wheeler’s famous description of gravity: “Matter tells space how to curve, and space tells matter how to move”, is here introduced the mathematical framework for the entropic principle, the newly conceived theory based on Quantum Relative Entropy (QRE). The #quantum operator under scrutiny establishes the fundamental links between statistical mechanics and gravity, explaining how the mass of simple and higher-order networks emerges from their topology and geometrical distribution. Numerical results provide the mass of random graphs and invariant scale free with catching insights on the discrete topological Dirac operator. 🔗

⏳Time is but the main component of space which we measure in density. Inspired by John Wheeler’s famous description of gravity: “Matter tells space how to curve, and space tells matter how to move”, is here introduced the mathematical framework for the entropic principle, the newly conceived theory based on Quantum Relative Entropy (QRE). The #quantum operator under scrutiny establishes the fundamental links between statistical mechanics and gravity, explaining how the mass of simple and higher-order networks emerges from their topology and geometrical distribution. Numerical results provide the mass of random graphs and invariant scale free with catching insights on the discrete topological Dirac operator. 🔗

18,449 просмотров

Evolution is not computable. It seems that life itself is proceeding toward a meta-law of increasing complexity. As the basic laws of physics result incomplete to provide all the answers to comprehend natural phenomena like biological evolution, novelties and abstraction. Scientists have proposed to use Functional Information Theory that supposedly promises a way to frame the exponential twists of all kinds of evolving systems. But turned out that to explain the degree of diversification, and convolutional outcome that the intelligent life is taking, isn’t a mathematical or a scientific problem but a philosophical one. Evolution isn’t computable. There are many more idiosyncratic pathways that the universe takes that do not follow the classical arrow of time imposed by the entropic principle. Although information itself may be a key to unlock unknown aspects, there might be a separate arrow in time able to define the increasing of complexity. Evolution is constantly creating not just new contextual knowledge but new possibilities for our consciousness to expand. At the same time the non computability issue touches the heart of what makes life so magical, unpredictable and rewarding. 🔗

Evolution is not computable. It seems that life itself is proceeding toward a meta-law of increasing complexity. As the basic laws of physics result incomplete to provide all the answers to comprehend natural phenomena like biological evolution, novelties and abstraction. Scientists have proposed to use Functional Information Theory that supposedly promises a way to frame the exponential twists of all kinds of evolving systems. But turned out that to explain the degree of diversification, and convolutional outcome that the intelligent life is taking, isn’t a mathematical or a scientific problem but a philosophical one. Evolution isn’t computable. There are many more idiosyncratic pathways that the universe takes that do not follow the classical arrow of time imposed by the entropic principle. Although information itself may be a key to unlock unknown aspects, there might be a separate arrow in time able to define the increasing of complexity. Evolution is constantly creating not just new contextual knowledge but new possibilities for our consciousness to expand. At the same time the non computability issue touches the heart of what makes life so magical, unpredictable and rewarding. 🔗

15,809 просмотров

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🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.
0:29
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🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.

Maurizio Iβα

76,466 просмотров • 1 год назад

The theory of higher order topological dynamics, which combines multilevel interactions between discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems such as the functions of the nervous system, the development of next-generation machine learning and the creation of advanced nodal processing algorithms. An important and unexpected collective behavior of signal processing in multilevel nodal networks has been observed to lead to a synchronization and diffusion of the irrotational and the solenoidal components of the systems revealing a deep relation of these mechanisms with the complexity of discrete topology. The perspective of the preliminary study linked here offers insights into how topology morphs dynamics, how dynamics stem from topology and how topology evolves dynamically. 🔗
0:20
Dragonmaurizio's profile picture

The theory of higher order topological dynamics, which combines multilevel interactions between discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems such as the functions of the nervous system, the development of next-generation machine learning and the creation of advanced nodal processing algorithms. An important and unexpected collective behavior of signal processing in multilevel nodal networks has been observed to lead to a synchronization and diffusion of the irrotational and the solenoidal components of the systems revealing a deep relation of these mechanisms with the complexity of discrete topology. The perspective of the preliminary study linked here offers insights into how topology morphs dynamics, how dynamics stem from topology and how topology evolves dynamically. 🔗

Maurizio Iβλἄ

40,749 просмотров • 1 год назад

🧠 A Beautiful loop: An active inference theory of consciousness. Many psychological, philosophical and scientific approaches have posited that loops, recursion, and reflective broadcasting are somehow central to the emergence of consciousness in hierarchical complex apparatus such as the nervous system. The geometrodynamics of the experiential reality model itself continuously looping and conforming its own existence. The capacity to reiterate the cognitive process in a variety of states like attention, metacognition, sleep, lucidity, meditation and psychedelic is the cornerstone for the emergence of consciousness. In this scientific study are proposed three conditions necessary to the functionality of self awareness. 1st) Generative World Model Epistemic Field. This model represents the brain's internal representation of the world, which is continuously updated throughout sensory inputs and prior knowledge. 2nd) Inferential Competition Determining Conscious Content. The inferential competition is necessary for determining what becomes conscious and why it’s coherent. This competition arises from the brain's attempt to resolve uncertainty and ambiguity in its internal models. 3d) Epistemic Depth Recursive and Widespread Sharing. The epistemic depth refers to the recursive and widespread sharing of the epistemic field throughout the hierarchical structure, and it’s a fundamental component for consciousness. 🔗
0:35
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🧠 A Beautiful loop: An active inference theory of consciousness. Many psychological, philosophical and scientific approaches have posited that loops, recursion, and reflective broadcasting are somehow central to the emergence of consciousness in hierarchical complex apparatus such as the nervous system. The geometrodynamics of the experiential reality model itself continuously looping and conforming its own existence. The capacity to reiterate the cognitive process in a variety of states like attention, metacognition, sleep, lucidity, meditation and psychedelic is the cornerstone for the emergence of consciousness. In this scientific study are proposed three conditions necessary to the functionality of self awareness. 1st) Generative World Model Epistemic Field. This model represents the brain's internal representation of the world, which is continuously updated throughout sensory inputs and prior knowledge. 2nd) Inferential Competition Determining Conscious Content. The inferential competition is necessary for determining what becomes conscious and why it’s coherent. This competition arises from the brain's attempt to resolve uncertainty and ambiguity in its internal models. 3d) Epistemic Depth Recursive and Widespread Sharing. The epistemic depth refers to the recursive and widespread sharing of the epistemic field throughout the hierarchical structure, and it’s a fundamental component for consciousness. 🔗

Maurizio Iβλἄ

18,220 просмотров • 1 год назад

Entropy Export is a concept invisibly embedded in both classical physics and #QuantumMechanics alike. When a system rotates, it creates an entropic gradient where the value is lower near the axis of rotation and higher near the periphery. This scalar unit of decreasing or increasing drives entropy-exporting mechanisms such as heat transfer, particle transport, entanglement and information processing. Entropic Export is the primary factor that allows the conservation of angular momentum by satisfying the 2d law of thermodynamics. In a closed system the number of revolutions around a central axis remain in a state of constant equilibrium over time unless acted upon by an external force. On a different note, rotating objects exhibit continuity of rhythm, harmony in the spacetime and symmetry in motion, elements that strongly resonate within our striatum pattern recognition wired into the medial orbitofrontal cortex (mOFC). Animation by Nikki H Nguyen
0:20
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Entropy Export is a concept invisibly embedded in both classical physics and #QuantumMechanics alike. When a system rotates, it creates an entropic gradient where the value is lower near the axis of rotation and higher near the periphery. This scalar unit of decreasing or increasing drives entropy-exporting mechanisms such as heat transfer, particle transport, entanglement and information processing. Entropic Export is the primary factor that allows the conservation of angular momentum by satisfying the 2d law of thermodynamics. In a closed system the number of revolutions around a central axis remain in a state of constant equilibrium over time unless acted upon by an external force. On a different note, rotating objects exhibit continuity of rhythm, harmony in the spacetime and symmetry in motion, elements that strongly resonate within our striatum pattern recognition wired into the medial orbitofrontal cortex (mOFC). Animation by Nikki H Nguyen

Maurizio Iβλἄ

16,984 просмотров • 1 год назад

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