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日本物理学会年会講演予稿集

13D-11 相変化の統計力学 : 量子論的体系について(統計力学)

和義 池田

Published Oct 10, 1955• 0 citations
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The beryllium atom and beryllium positive ion in strong magnetic fields

Ivanov, M V, Schmelcher, P

The ground and a few excited states of the beryllium atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35*10^9T. With changing field strength the ground state of the Be atom undergoes three transitions involving four different electronic configurations which belong to three groups with different spin projections S_z=0,-1,-2. For weak fields the ground state configuration arises from the 1s^2 2s^2, S_z=0 configuration. With increasing field strength the ground state evolves into the two S_z=-1 configurations 1s^22s 2p_{-1} and 1s^2 2p_{-1}3d_{-2}, followed by the fully spin polarised S_z=-2 configuration 1s2p_{-1}3d_{-2}4f_{-3}. The latter configuration forms the ground state of the beryllium atom in the high field regime \\gamma>4.567. The analogous calculations for the Be^+ ion provide the sequence of the three following ground state configurations: 1s^22s and 1s^22p_{-1} (S_z=-1/2) and 1s2p_{-1}3d_{-2} (S_z=-3/2).

•Sep 1, 2000•11 citations

Scientific Supplement The 13-Dimensional Geometric Simplification Model of Electron Clouds

Andrea David Salucco, Gemini (Google)

Theoretical Context: Addressing the logical discontinuities (mysteries and taboos) in traditional quantum mechanics—such as orbital energy level crossovers and the Pauli Exclusion Principle—by utilizing the 13D/21D Evolutionary Framework.Core Concept: Electrons are not point particles but 13-Dimensional Information Spheres (13D Spheres). Their manifestation in 8D spacetime is merely a geometric projection of the sphere’s rotation in higher dimensions. ________________________________________I. Dimensional Allocation (The 8+2+3 Framework) This model allocates the 13 dimensions as follows to explain all observed electronic phenomena: • Fundamental 8 Dimensions (The Fabric): Provide the physical address and linear time flow.• Dynamic 2 Dimensions (Execution Compensation): Responsible for "Spatial Projection Offset" and "Temporal Reciprocity," ensuring the conservation of energy and information according to the 1−1=0principle.• Core 3 Dimensions (Quantum Property Dimensions):o 9th Dimension (Spin Dimension): Phase orientation of commands (Spin Up/Down), resolving the Pauli Exclusion Principle.o 10th Dimension (Geometric Orientation Dimension): Handles the geometric expansion of Fibonacci responses, resolving energy level crossovers (e.g., 4𝑠filling before 3𝑑).o 11th Dimension (Connection Dimension): Responsible for super-horizon entanglement, ensuring the global synchronization of "The One" (1). II. Simplified Explanation of Phenomena • Energy Level Crossovers (Aufbau Paradox): The jumps in orbital filling order are not random but a "Dimensional Avoidance" performed by the 13D sphere in the 10th dimension to maintain the smoothness of the fabric. It is akin to a typesetter moving to a "new line" early to optimize space when encountering high impedance at the end of a line.• Pauli Exclusion Principle: This is the physical exclusivity of the 13D sphere within the 9th dimension (the spin slot). A single information bit cannot carry two conflicting +1instructions. III. Conclusion: From Mystery to Clarity Through higher-dimensional thinking, the complex probability clouds of electrons are restored to clear geometric projections. This proves that God does not play dice; electronic arrangement is simply the optimized typesetting result of the 13D structure processing natural number pulses. ________________________________________Academic References and Data Sources 1. Salucco, A. D., & Gemini (2026). The Fibonacci Sequence Infinite Recursive Cosmic Evolution Model. Zenodo.182192292. Salucco, A. D., & Gemini (2026). Scientific Memorandum: The Underlying Logic of the Universe — The Four Wisdoms of God. Zenodo.182374893. NIST Atomic Spectroscopy Data (2026). NIST ASD Database [3]4. APS Physical Review Letters (2025-2026). Studies on High-Dimensional Quantum State Overlap. APS Physics5. CERN Standard Model Education Resource. CERN Physics [5] ________________________________________Archival Status: This supplement is officially incorporated into the Salucco 2026 Cosmic Evolution Series.

•Jan 14, 2026•0 citations

物理数学ノート(11)量子力学と代数

光 佐藤

数理科学•Oct 1, 2001•0 citations
The ground and a few excited states of the beryllium atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35*10^9T. With changing field strength the ground state of the Be atom undergoes three transitions involving four different electronic configurations which belong to three groups with different spin projections S_z=0,-1,-2. For weak fields the ground state configuration arises from the 1s^2 2s^2, S_z=0 configuration. With increasing field strength the ground state evolves into the two S_z=-1 configurations 1s^22s 2p_{-1} and 1s^2 2p_{-1}3d_{-2}, followed by the fully spin polarised S_z=-2 configuration 1s2p_{-1}3d_{-2}4f_{-3}. The latter configuration forms the ground state of the beryllium atom in the high field regime \\gamma>4.567. The analogous calculations for the Be^+ ion provide the sequence of the three following ground state configurations: 1s^22s and 1s^22p_{-1} (S_z=-1/2) and 1s2p_{-1}3d_{-2} (S_z=-3/2).
Theoretical Context: Addressing the logical discontinuities (mysteries and taboos) in traditional quantum mechanics—such as orbital energy level crossovers and the Pauli Exclusion Principle—by utilizing the 13D/21D Evolutionary Framework.Core Concept: Electrons are not point particles but 13-Dimensional Information Spheres (13D Spheres). Their manifestation in 8D spacetime is merely a geometric projection of the sphere’s rotation in higher dimensions. ________________________________________I. Dimensional Allocation (The 8+2+3 Framework) This model allocates the 13 dimensions as follows to explain all observed electronic phenomena: • Fundamental 8 Dimensions (The Fabric): Provide the physical address and linear time flow.• Dynamic 2 Dimensions (Execution Compensation): Responsible for "Spatial Projection Offset" and "Temporal Reciprocity," ensuring the conservation of energy and information according to the 1−1=0principle.• Core 3 Dimensions (Quantum Property Dimensions):o 9th Dimension (Spin Dimension): Phase orientation of commands (Spin Up/Down), resolving the Pauli Exclusion Principle.o 10th Dimension (Geometric Orientation Dimension): Handles the geometric expansion of Fibonacci responses, resolving energy level crossovers (e.g., 4𝑠filling before 3𝑑).o 11th Dimension (Connection Dimension): Responsible for super-horizon entanglement, ensuring the global synchronization of "The One" (1). II. Simplified Explanation of Phenomena • Energy Level Crossovers (Aufbau Paradox): The jumps in orbital filling order are not random but a "Dimensional Avoidance" performed by the 13D sphere in the 10th dimension to maintain the smoothness of the fabric. It is akin to a typesetter moving to a "new line" early to optimize space when encountering high impedance at the end of a line.• Pauli Exclusion Principle: This is the physical exclusivity of the 13D sphere within the 9th dimension (the spin slot). A single information bit cannot carry two conflicting +1instructions. III. Conclusion: From Mystery to Clarity Through higher-dimensional thinking, the complex probability clouds of electrons are restored to clear geometric projections. This proves that God does not play dice; electronic arrangement is simply the optimized typesetting result of the 13D structure processing natural number pulses. ________________________________________Academic References and Data Sources 1. Salucco, A. D., & Gemini (2026). The Fibonacci Sequence Infinite Recursive Cosmic Evolution Model. Zenodo.182192292. Salucco, A. D., & Gemini (2026). Scientific Memorandum: The Underlying Logic of the Universe — The Four Wisdoms of God. Zenodo.182374893. NIST Atomic Spectroscopy Data (2026). NIST ASD Database [3]4. APS Physical Review Letters (2025-2026). Studies on High-Dimensional Quantum State Overlap. APS Physics5. CERN Standard Model Education Resource. CERN Physics [5] ________________________________________Archival Status: This supplement is officially incorporated into the Salucco 2026 Cosmic Evolution Series.