The magnetic dipole field geometry of subatomic elementary particles like the electron differs from the classical macroscopic field imprint of a bar magnet. It resembles more like an eight figure or else joint double quantum-dots instead of the classical, spherical more uniform field of a bar magnet. This actual subatomic quantum magnetic field of an electron at rest, is called Quantum Magnet or else a Magneton. It is today verified experimentally by quantum magnetic field imaging methods and sensors like SQUID scanning magnetic microscopy of ferromagnets and also seen in Bose-Einstein Condensates (BEC) quantum ferrofluids experiments. Normally, a macroscale bar magnet should behave like a relative giant Quantum Magnet with identical magnetic dipole field imprint since all of its individual magnetons collectively inside the material, dipole moments are uniformly aligned forming the total net field of the magnet. However due to Quantum Decoherence (QDE) phenomenon at the macroscale and macroscopic magnetic field imaging sensors limitations which cannot pickup these rapid quantum magnetization fluctuations, this field is masked and not visible at the macroscale. By using the relative inexpensive submicron resolution Ferrolens quantum magnetic optical superparamagnetic thin film sensor for field real time imaging and method we have researched in our previous publications, we can actually make this net magneton field visible on macroscale magnets. We call this net total field herein, Quantum Field of Magnet (QFM) differentiating it therefore from the field of the single subatomic magneton thus quantum magnet. Additionally, the unique potential of the Ferrolens device to display also the magnetic flux lines of this macroscopically projected giant Magneton gives us the opportunity for the first time to study the individual magnetic flux lines geometrical pattern that of a single subatomic magneton. We describe this particular magnetic flux of the magneton observed, quantum magnetic flux. Therefore an astonishing novel observation has been made that the Quantum Magnetic Field of the Magnet-Magneton (QFM) consists of a dipole vortex shaped magnetic flux geometrical pattern responsible for creating the classical macroscopic N-S field of magnetism as a tension field between the two polar quantum flux vortices North and South poles. A physical interpretation of this quantum decoherence mechanism observed is analyzed and presented and conclusions made showing physical evidence of the quantum origin irrotational and therefore conservative property of magnetism and also demonstrating that ultimately magnetism at the quantum level is an energy dipole vortex phenomenon.
The magnetic dipole field geometry of subatomic elementary particles like the electron differs from the classical macroscopic field imprint of a bar magnet. It resembles more like an eight figure or else joint double quantum-dots instead of the classical, spherical more uniform field of a bar magnet. This actual subatomic quantum magnetic field of an electron at rest, is called Quantum Magnet or else a Magneton. It is today verified experimentally by quantum magnetic field imaging methods and sensors like SQUID scanning magnetic microscopy of ferromagnets and also seen in Bose-Einstein Condensates (BEC) quantum ferrofluids experiments. Normally, a macroscale bar magnet should behave like a relative giant Quantum Magnet with identical magnetic dipole field imprint since all of its individual magnetons collectively inside the material, dipole moments are uniformly aligned forming the total net field of the magnet. However due to Quantum Decoherence (QDE) phenomenon at the macroscale and macroscopic magnetic field imaging sensors limitations which cannot pickup these rapid quantum magnetization fluctuations, this field is masked and not visible at the macroscale. By using the relative inexpensive submicron resolution Ferrolens quantum magnetic optical superparamagnetic thin film sensor for field real time imaging and method we have researched in our previous publications, we can actually make this net magneton field visible on macroscale magnets. We call this net total field herein, Quantum Field of Magnet (QFM) differentiating it therefore from the field of the single subatomic magneton thus quantum magnet. Additionally, the unique potential of the Ferrolens device to display also the magnetic flux lines of this macroscopically projected giant Magneton gives us the opportunity for the first time to study the individual magnetic flux lines geometrical pattern that of a single subatomic magneton. We describe this particular magnetic flux of the magneton observed, quantum magnetic flux. Therefore an astonishing novel observation has been made that the Quantum Magnetic Field of the Magnet-Magneton (QFM) consists of a dipole vortex shaped magnetic flux geometrical pattern responsible for creating the classical macroscopic N-S field of magnetism as a tension field between the two polar quantum flux vortices North and South poles. A physical interpretation of this quantum decoherence mechanism observed is analyzed and presented and conclusions made showing physical evidence of the quantum origin irrotational and therefore conservative property of magnetism and also demonstrating that ultimately magnetism at the quantum level is an energy dipole vortex phenomenon.
First publication: 15 July 2025 This research introduces an experimental methodology capable of revealing geometrical structures corresponding to spherical harmonics within macroscopic magnetic fields , making visible field configurations that have never before been experimentally observed in the real world. Atomic orbitals represent some of the most recognizable geometrical structures emerging from quantum mechanics. They arise as solutions of the Schrödinger equation for the hydrogen atom and are mathematically described by spherical harmonics . In modern physics these structures are traditionally interpreted as probability distributions associated with the quantum state of the electron, rather than as spatial geometries directly observable at the macroscopic scale. In this work, a three-dimensional experimental visualization of structures isomorphic to atomic orbitals is presented for the first time. These structures are obtained through the detection and spatial mapping of magnetic field configurations using Hall-effect sensors. The experimental method employs a bipolar Hall sensor operating in dynamic scanning mode while maintaining a constant angular orientation relative to the magnetic source. This measurement configuration introduces a different observational framework compared to conventional representations of magnetic fields derived directly from Maxwell’s equations. When the magnetic field is explored by explicitly considering dipole-dipole interactions and by maintaining a fixed sensor orientation during spatial scanning , the measurements correspond to local projections of the magnetic field along a constant angular direction. The spatial reconstruction of these projections reveals three-dimensional field structures that exhibit a remarkable correspondence with the spherical harmonic geometries associated with the atomic orbitals of the hydrogen atom . These configurations do not normally appear in standard visualizations of magnetic fields, such as field lines or equipotential surfaces, because their emergence requires a measurement approach capable of highlighting the angular components of dipolar interactions. From this observation derives the title of the research. The structures observed in this work coincide with forms historically associated exclusively with the quantum solutions of the Schrödinger equation for the hydrogen atom. However, in this context they emerge as measurable geometric configurations of a macroscopic magnetic field , suggesting the existence of a structural relationship between these two physical descriptions. The research has also been deliberately structured to provide interpretations consistent with both classical mechanics and quantum mechanics , offering the reader multiple theoretical perspectives. By using the classical geometry of magnetic fields as an interpretative framework, several concepts typically associated with quantum mechanics acquire an unexpectedly intuitive and geometrically rational representation. This approach allows the exploration of possible structural connections between the probabilistic formalism of quantum mechanics and geometric patterns emerging from observable macroscopic physical fields , offering an alternative interpretative perspective on the relationship between classical physics and quantum phenomena. The work also includes a fully replicable experimental methodology for generating and visualizing these structures by scanning one or more permanent magnets using Hall sensors, effectively providing a procedure comparable to a form of three-dimensional magnetic tomography ("Magnetic CT Scan") . Official DOI: https://doi.org/10.5281/zenodo.15936280 A Professionally Printed Edition is also available on Amazon: MAGNETIC ORBITALS
First publication: 15 July 2025 This research introduces an experimental methodology capable of revealing geometrical structures corresponding to spherical harmonics within macroscopic magnetic fields , making visible field configurations that have never before been experimentally observed in the real world. Atomic orbitals represent some of the most recognizable geometrical structures emerging from quantum mechanics. They arise as solutions of the Schrödinger equation for the hydrogen atom and are mathematically described by spherical harmonics . In modern physics these structures are traditionally interpreted as probability distributions associated with the quantum state of the electron, rather than as spatial geometries directly observable at the macroscopic scale. In this work, a three-dimensional experimental visualization of structures isomorphic to atomic orbitals is presented for the first time. These structures are obtained through the detection and spatial mapping of magnetic field configurations using Hall-effect sensors. The experimental method employs a bipolar Hall sensor operating in dynamic scanning mode while maintaining a constant angular orientation relative to the magnetic source. This measurement configuration introduces a different observational framework compared to conventional representations of magnetic fields derived directly from Maxwell’s equations. When the magnetic field is explored by explicitly considering dipole-dipole interactions and by maintaining a fixed sensor orientation during spatial scanning , the measurements correspond to local projections of the magnetic field along a constant angular direction. The spatial reconstruction of these projections reveals three-dimensional field structures that exhibit a remarkable correspondence with the spherical harmonic geometries associated with the atomic orbitals of the hydrogen atom . These configurations do not normally appear in standard visualizations of magnetic fields, such as field lines or equipotential surfaces, because their emergence requires a measurement approach capable of highlighting the angular components of dipolar interactions. From this observation derives the title of the research. The structures observed in this work coincide with forms historically associated exclusively with the quantum solutions of the Schrödinger equation for the hydrogen atom. However, in this context they emerge as measurable geometric configurations of a macroscopic magnetic field , suggesting the existence of a structural relationship between these two physical descriptions. The research has also been deliberately structured to provide interpretations consistent with both classical mechanics and quantum mechanics , offering the reader multiple theoretical perspectives. By using the classical geometry of magnetic fields as an interpretative framework, several concepts typically associated with quantum mechanics acquire an unexpectedly intuitive and geometrically rational representation. This approach allows the exploration of possible structural connections between the probabilistic formalism of quantum mechanics and geometric patterns emerging from observable macroscopic physical fields , offering an alternative interpretative perspective on the relationship between classical physics and quantum phenomena. The work also includes a fully replicable experimental methodology for generating and visualizing these structures by scanning one or more permanent magnets using Hall sensors, effectively providing a procedure comparable to a form of three-dimensional magnetic tomography ("Magnetic CT Scan") . Official DOI: https://doi.org/10.5281/zenodo.15936280 A Professionally Printed Edition is also available on Amazon: MAGNETIC ORBITALS
First publication: 15 July 2025 This research introduces an experimental methodology capable of revealing geometrical structures corresponding to spherical harmonics within macroscopic magnetic fields , making visible field configurations that have never before been experimentally observed in the real world. Atomic orbitals represent some of the most recognizable geometrical structures emerging from quantum mechanics. They arise as solutions of the Schrödinger equation for the hydrogen atom and are mathematically described by spherical harmonics . In modern physics these structures are traditionally interpreted as probability distributions associated with the quantum state of the electron, rather than as spatial geometries directly observable at the macroscopic scale. In this work, a three-dimensional experimental visualization of structures isomorphic to atomic orbitals is presented for the first time. These structures are obtained through the detection and spatial mapping of magnetic field configurations using Hall-effect sensors. The experimental method employs a bipolar Hall sensor operating in dynamic scanning mode while maintaining a constant angular orientation relative to the magnetic source. This measurement configuration introduces a different observational framework compared to conventional representations of magnetic fields derived directly from Maxwell’s equations. When the magnetic field is explored by explicitly considering dipole-dipole interactions and by maintaining a fixed sensor orientation during spatial scanning , the measurements correspond to local projections of the magnetic field along a constant angular direction. The spatial reconstruction of these projections reveals three-dimensional field structures that exhibit a remarkable correspondence with the spherical harmonic geometries associated with the atomic orbitals of the hydrogen atom . These configurations do not normally appear in standard visualizations of magnetic fields, such as field lines or equipotential surfaces, because their emergence requires a measurement approach capable of highlighting the angular components of dipolar interactions. From this observation derives the title of the research. The structures observed in this work coincide with forms historically associated exclusively with the quantum solutions of the Schrödinger equation for the hydrogen atom. However, in this context they emerge as measurable geometric configurations of a macroscopic magnetic field , suggesting the existence of a structural relationship between these two physical descriptions. The research has also been deliberately structured to provide interpretations consistent with both classical mechanics and quantum mechanics , offering the reader multiple theoretical perspectives. By using the classical geometry of magnetic fields as an interpretative framework, several concepts typically associated with quantum mechanics acquire an unexpectedly intuitive and geometrically rational representation. This approach allows the exploration of possible structural connections between the probabilistic formalism of quantum mechanics and geometric patterns emerging from observable macroscopic physical fields , offering an alternative interpretative perspective on the relationship between classical physics and quantum phenomena. The work also includes a fully replicable experimental methodology for generating and visualizing these structures by scanning one or more permanent magnets using Hall sensors, effectively providing a procedure comparable to a form of three-dimensional magnetic tomography ("Magnetic CT Scan") . Official DOI: https://doi.org/10.5281/zenodo.15936280 A Professionally Printed Edition is also available on Amazon: MAGNETIC ORBITALS
First publication: 15 July 2025 This research introduces an experimental methodology capable of revealing geometrical structures corresponding to spherical harmonics within macroscopic magnetic fields , making visible field configurations that have never before been experimentally observed in the real world. Atomic orbitals represent some of the most recognizable geometrical structures emerging from quantum mechanics. They arise as solutions of the Schrödinger equation for the hydrogen atom and are mathematically described by spherical harmonics . In modern physics these structures are traditionally interpreted as probability distributions associated with the quantum state of the electron, rather than as spatial geometries directly observable at the macroscopic scale. In this work, a three-dimensional experimental visualization of structures isomorphic to atomic orbitals is presented for the first time. These structures are obtained through the detection and spatial mapping of magnetic field configurations using Hall-effect sensors. The experimental method employs a bipolar Hall sensor operating in dynamic scanning mode while maintaining a constant angular orientation relative to the magnetic source. This measurement configuration introduces a different observational framework compared to conventional representations of magnetic fields derived directly from Maxwell’s equations. When the magnetic field is explored by explicitly considering dipole-dipole interactions and by maintaining a fixed sensor orientation during spatial scanning , the measurements correspond to local projections of the magnetic field along a constant angular direction. The spatial reconstruction of these projections reveals three-dimensional field structures that exhibit a remarkable correspondence with the spherical harmonic geometries associated with the atomic orbitals of the hydrogen atom . These configurations do not normally appear in standard visualizations of magnetic fields, such as field lines or equipotential surfaces, because their emergence requires a measurement approach capable of highlighting the angular components of dipolar interactions. From this observation derives the title of the research. The structures observed in this work coincide with forms historically associated exclusively with the quantum solutions of the Schrödinger equation for the hydrogen atom. However, in this context they emerge as measurable geometric configurations of a macroscopic magnetic field , suggesting the existence of a structural relationship between these two physical descriptions. The research has also been deliberately structured to provide interpretations consistent with both classical mechanics and quantum mechanics , offering the reader multiple theoretical perspectives. By using the classical geometry of magnetic fields as an interpretative framework, several concepts typically associated with quantum mechanics acquire an unexpectedly intuitive and geometrically rational representation. This approach allows the exploration of possible structural connections between the probabilistic formalism of quantum mechanics and geometric patterns emerging from observable macroscopic physical fields , offering an alternative interpretative perspective on the relationship between classical physics and quantum phenomena. The work also includes a fully replicable experimental methodology for generating and visualizing these structures by scanning one or more permanent magnets using Hall sensors, effectively providing a procedure comparable to a form of three-dimensional magnetic tomography ("Magnetic CT Scan") . Official DOI: https://doi.org/10.5281/zenodo.15936280 A Professionally Printed Edition is also available on Amazon: MAGNETIC ORBITALS
Microscopic imaging of local magnetic fields provides a window into the organizing principles of complex and technologically relevant condensed-matter materials.However, a wide variety of intriguing strongly correlated and topologically nontrivial materials exhibit poorly understood phenomena outside the detection capability of state-of-the-art high-sensitivity high-resolution scanning probe magnetometers.We introduce a quantum-noise-limited scanning probe magnetometer that can operate from room-to-cryogenic temperatures with unprecedented dc-field sensitivity and micron-scale resolution.The Scanning Quantum Cryogenic Atom Microscope (SQCRAMscope) employs a magnetically levitated atomic Bose-Einstein condensate (BEC), thereby providing immunity to conductive and blackbody radiative heating.The SQCRAMscope has a field sensitivity of 1.4 nT per resolution-limited point (approximately 2 μm) or 6 nT= ffiffiffiffiffiffi Hz p per point at its duty cycle.Compared to point-by-point sensors, the long length of the BEC provides a naturally parallel measurement, allowing one to measure nearly 100 points with an effective field sensitivity of 600 pT= ffiffiffiffiffiffi Hz p for each point during the same time as a point-by-point scanner measures these points sequentially.Moreover, it has a noise floor of 300 pT and provides nearly 2 orders of magnitude improvement in magnetic flux sensitivity (down to 10 -6 Φ 0 = ffiffiffiffiffiffi Hz p ) over previous atomic probe magnetometers capable of scanning near samples.These capabilities are carefully benchmarked by imaging magnetic fields arising from microfabricated wire patterns in a system where samples may be scanned, cryogenically cooled, and easily exchanged.We anticipate the SQCRAMscope will provide charge-transport images at temperatures from room temperature to 4 K in unconventional superconductors and topologically nontrivial materials.
Have the shapes of atomic orbitals ever been observed in the real world? This research presents the first experimental three-dimensional visualization of atomic orbital geometries. By employing a bipolar Hall sensor in dynamic mode at a constant angle, magnetic field configurations were detected that are consistent - down to the finest detail - with the solutions of the Schrödinger equation for the hydrogen atom. The results suggest a structural connection between the probabilistic concepts of quantum mechanics and observable macroscopic phenomena, proposing a new paradigm for unifying classical and quantum physics. The entire work also provides a replicable guide for generating magnetic orbitals , thus offering a precise method for the potential control of matter at the subatomic level, through the construction of a "Magnetic Map of Matter" - usable here, in our world. Original DOI and Supplementary Material on Zenodo - 2025-07-15: https://doi.org/10.5281/zenodo.15936280