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𝓜𝒂𝒖𝒓𝒊𝔃𝒊𝒐 𝗜𝒃𝛼

@Dragonmaurizio • 7,844 subscribers

🔬Independent #Quantum researcher. 🔭#Skywatcher. ⚡️Generative & Regenerative #Energy Systems.

Shorts

☍ The Ouroboros as a function of the form. Under mathematical laws, lambda calculus, and space phase geometry, the Ouroboros principle is translated into self referential recursive cycle and fixed point closure, outlining a function operating on itself, expressed by the equation 𝒻(𝒻) = 𝒻. The formula simply yields the process where the output becomes input without escaping the system. This logic relies on distinctions that point back to the observer, creating a self-containing universe of rules. Systems theory uses the Ouroboros to describe feedback loops where not only the result regulates the hierarchical structure itself, but also signifies immutability and independence from external interference. In theoretical biology the Ouroboros is strictly related to the autopoiesis function of self procreation in which living networks preserve themselves through internal circular regeneration. 🔗

☍ The Ouroboros as a function of the form. Under mathematical laws, lambda calculus, and space phase geometry, the Ouroboros principle is translated into self referential recursive cycle and fixed point closure, outlining a function operating on itself, expressed by the equation 𝒻(𝒻) = 𝒻. The formula simply yields the process where the output becomes input without escaping the system. This logic relies on distinctions that point back to the observer, creating a self-containing universe of rules. Systems theory uses the Ouroboros to describe feedback loops where not only the result regulates the hierarchical structure itself, but also signifies immutability and independence from external interference. In theoretical biology the Ouroboros is strictly related to the autopoiesis function of self procreation in which living networks preserve themselves through internal circular regeneration. 🔗

29,190 次观看

Physical realities beyond the Standard Model. Exploring how fundamental particles like neutrinos and electrons emerge from deeper sub-quantum geometries using advanced quaternionic frameworks. Quaternion-Bola Torque; a quaternionic 4D non-commutative mathematical model which yields helicity eigenspinors with definite spin states for Dirac neutrino eigenstates. 🔗 Min_Mass Quantum Core; a premise for elementary excitations built upon or originate from a fundamental, irreducible minimal mass threshold (or a ground-state vacuum). 🔗 River-of-Influence Geometry; a topological quantum information construct, such as quantum Fisher information or Berry curvature, where local states of matter and charge transport are defined by the surrounding vacuum's properties. 🔗

Physical realities beyond the Standard Model. Exploring how fundamental particles like neutrinos and electrons emerge from deeper sub-quantum geometries using advanced quaternionic frameworks. Quaternion-Bola Torque; a quaternionic 4D non-commutative mathematical model which yields helicity eigenspinors with definite spin states for Dirac neutrino eigenstates. 🔗 Min_Mass Quantum Core; a premise for elementary excitations built upon or originate from a fundamental, irreducible minimal mass threshold (or a ground-state vacuum). 🔗 River-of-Influence Geometry; a topological quantum information construct, such as quantum Fisher information or Berry curvature, where local states of matter and charge transport are defined by the surrounding vacuum's properties. 🔗

34,178 次观看

🫯 A conflicting physical ontology ! One of the strangest properties in particle physics is the spin. The term spin is a historical misnomer. Electrons (𝑒⁻) do not physically rotate like a spinning top or a globe. Spin is a fundamental quantum property known as intrinsic angular momentum which exists as an inherent characteristic of the particle, much like its mass or electric charge. In quantum mechanics, electrons are treated as fundamental point-like particles with zero size, making the concept of physical 3D rotation nonsensical. A rotating electrical charge creates a magnetic field. An electron naturally possesses its own detectable magnetic field. Even though the electron isn't physically spinning, it acts exactly as if it were because of that. Moreover the spin of an 𝑒⁻ has orientation. As 𝑒⁻ carry a negative electric charge, their inherent spin turns them into tiny bar magnets. Two possible orientations exist in the natural state of the 𝑒⁻, spin up and spin down. When measured along a specific direction (called the z-axis) the 𝑒⁻ can only display one of the two orientation state, up or down. But the strangeness goes a bit further; when an 𝑒⁻ is misplaced or removed from its own orbit, it takes two full circles (720°) to return to its original quantum state. The spin isn’t motion, it’s an undeniable static, resilient force of this elementary particle, listed as one the fundamental constant of nature. 🔗

🫯 A conflicting physical ontology ! One of the strangest properties in particle physics is the spin. The term spin is a historical misnomer. Electrons (𝑒⁻) do not physically rotate like a spinning top or a globe. Spin is a fundamental quantum property known as intrinsic angular momentum which exists as an inherent characteristic of the particle, much like its mass or electric charge. In quantum mechanics, electrons are treated as fundamental point-like particles with zero size, making the concept of physical 3D rotation nonsensical. A rotating electrical charge creates a magnetic field. An electron naturally possesses its own detectable magnetic field. Even though the electron isn't physically spinning, it acts exactly as if it were because of that. Moreover the spin of an 𝑒⁻ has orientation. As 𝑒⁻ carry a negative electric charge, their inherent spin turns them into tiny bar magnets. Two possible orientations exist in the natural state of the 𝑒⁻, spin up and spin down. When measured along a specific direction (called the z-axis) the 𝑒⁻ can only display one of the two orientation state, up or down. But the strangeness goes a bit further; when an 𝑒⁻ is misplaced or removed from its own orbit, it takes two full circles (720°) to return to its original quantum state. The spin isn’t motion, it’s an undeniable static, resilient force of this elementary particle, listed as one the fundamental constant of nature. 🔗

22,933 次观看

🎺 The Gabriel's Horn also known as the Torricelli's Trumpet is a mind bending geometric paradox where an infinitely long shape encloses a strictly finite volume with an infinitely large surface area. The reason for the juxtaposition lies in the different mathematical rules used to calculate 3D volumes vs 2D surface areas when dealing with exponential quantities to infinity. As the horn stretches out infinitely, its opening gets so narrow that it becomes smaller than the width of a single atom. But the paradox exists only in theoretical math, in the physical world an enclosed volume is proportional to the surface that bounds it. 🔗

🎺 The Gabriel's Horn also known as the Torricelli's Trumpet is a mind bending geometric paradox where an infinitely long shape encloses a strictly finite volume with an infinitely large surface area. The reason for the juxtaposition lies in the different mathematical rules used to calculate 3D volumes vs 2D surface areas when dealing with exponential quantities to infinity. As the horn stretches out infinitely, its opening gets so narrow that it becomes smaller than the width of a single atom. But the paradox exists only in theoretical math, in the physical world an enclosed volume is proportional to the surface that bounds it. 🔗

25,272 次观看

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. 🔗

29,093 次观看

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 次观看

The Thomas attractor is a mathematical concept in dynamical systems theory representing a type of chaotic space phase that exhibits cyclic symmetry. It was named after René Thomas, the mathematician who introduced it in 1979. The system is strictly related to the Lorenz attractor another famous chaotic evolutionary space manifold. The 3D Thomas attractor is represented by the combination of three differential equations where the symmetry is invariant under rotations of 120° (or 2π/3 radians) around the x y z axis which are the space coordinates, plus μ (mu) that is a parameter controlling the behavior. The attractor is characterized by a chaotic tendency and it’s sensitive to initial conditions, meaning that as μ increases, the motion undergoes period-doubling bifurcations leading to chaos. A good visualization of this spacetime manifold is a twisted, spiral-shaped structure with 3-fold symmetry where each spiral arm is symmetric with respect to the central axis, like the one displayed below. The chaotic evolution of this attractor demonstrates the geometric beauty and complexity of unpredictable systems.

The Thomas attractor is a mathematical concept in dynamical systems theory representing a type of chaotic space phase that exhibits cyclic symmetry. It was named after René Thomas, the mathematician who introduced it in 1979. The system is strictly related to the Lorenz attractor another famous chaotic evolutionary space manifold. The 3D Thomas attractor is represented by the combination of three differential equations where the symmetry is invariant under rotations of 120° (or 2π/3 radians) around the x y z axis which are the space coordinates, plus μ (mu) that is a parameter controlling the behavior. The attractor is characterized by a chaotic tendency and it’s sensitive to initial conditions, meaning that as μ increases, the motion undergoes period-doubling bifurcations leading to chaos. A good visualization of this spacetime manifold is a twisted, spiral-shaped structure with 3-fold symmetry where each spiral arm is symmetric with respect to the central axis, like the one displayed below. The chaotic evolution of this attractor demonstrates the geometric beauty and complexity of unpredictable systems.

31,712 次观看

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 次观看

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🔈An acoustic levitation motor is an advanced device that uses high-frequency sound waves to lift an object in the air without moving parts. Unlike traditional motors that use gears, shafts, or magnetic fields to generate a rotational force, an acoustic levitation device uses sound pressure. The motor is composed by a “rotor” and a stationary base that contains ultrasonic transducers emitting very low pitch sound in the range of 30 kHz. For the effect of the vibration the rotor oscillates very fast, trapping a microscopic layer of air (called a squeeze film) between itself and the body of the craft. The high-frequency acoustic pressure creates an upward force that counters gravity, making the object floating like a weightless bearing. By shifting the frequency into structural traveling waves across the surface, the motor pushes air in a specific circular direction, creating a vortex that rotates the floating object. 🔗
0:20
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🔈An acoustic levitation motor is an advanced device that uses high-frequency sound waves to lift an object in the air without moving parts. Unlike traditional motors that use gears, shafts, or magnetic fields to generate a rotational force, an acoustic levitation device uses sound pressure. The motor is composed by a “rotor” and a stationary base that contains ultrasonic transducers emitting very low pitch sound in the range of 30 kHz. For the effect of the vibration the rotor oscillates very fast, trapping a microscopic layer of air (called a squeeze film) between itself and the body of the craft. The high-frequency acoustic pressure creates an upward force that counters gravity, making the object floating like a weightless bearing. By shifting the frequency into structural traveling waves across the surface, the motor pushes air in a specific circular direction, creating a vortex that rotates the floating object. 🔗

𝓜𝒂𝒖𝒓𝒊𝔃𝒊𝒐 𝗜𝒃𝛼

15,506 次观看 • 1 个月前

🌀 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
Dragonmaurizio's profile picture

🌀 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 𝗜𝒃𝛼

76,671 次观看 • 2 年前

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 次观看 • 1 年前

🧠 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
Dragonmaurizio's profile picture

🧠 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 𝗜𝒃𝛼

18,397 次观看 • 1 年前

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 .
0:20
Dragonmaurizio's profile picture

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 .

𝓜𝒂𝒖𝒓𝒊𝔃𝒊𝒐 𝗜𝒃𝛼

18,149 次观看 • 1 年前

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