The Geometric Operator (L): The Spectral Basis of Prime Distribution and Informational Physics
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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2025
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| _version_ | 1866901764548067328 |
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| author | Borgers Brent Borgers |
| author_facet | Borgers Brent Borgers |
| contents | <h3><strong>Abstract</strong></h3> <p> </p> <p>This document formally introduces the <strong>Geometric Operator <span>L</span></strong>, a self-adjoint Hamiltonian acting on the Hilbert space of the number line. We propose that the distribution of prime numbers is not pseudo-random, but is the deterministic result of <strong>Constructive Interference</strong> patterns generated by the vibrations of <span>L</span>. By defining the spectrum of <span>L</span> as equivalent to the squared imaginary parts of the non-trivial Riemann zeros (<span>n^2</span>), we provide a physical and geometric basis for the Riemann Hypothesis. Furthermore, this operator serves as the "Function F" within <strong>Informational Physics</strong>, linking the abstract laws of the 7D Bulk to the manifest constants of the 3D Universe via the unified equation <span>R = E + I</span>.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17780743 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Geometric Operator (L): The Spectral Basis of Prime Distribution and Informational Physics Borgers Brent Borgers Number Theory, Riemann Hypothesis, Informational Physics, Causal Recursion Field Theory, Quantum Chaos, Prime Distribution. <h3><strong>Abstract</strong></h3> <p> </p> <p>This document formally introduces the <strong>Geometric Operator <span>L</span></strong>, a self-adjoint Hamiltonian acting on the Hilbert space of the number line. We propose that the distribution of prime numbers is not pseudo-random, but is the deterministic result of <strong>Constructive Interference</strong> patterns generated by the vibrations of <span>L</span>. By defining the spectrum of <span>L</span> as equivalent to the squared imaginary parts of the non-trivial Riemann zeros (<span>n^2</span>), we provide a physical and geometric basis for the Riemann Hypothesis. Furthermore, this operator serves as the "Function F" within <strong>Informational Physics</strong>, linking the abstract laws of the 7D Bulk to the manifest constants of the 3D Universe via the unified equation <span>R = E + I</span>.</p> |
| title | The Geometric Operator (L): The Spectral Basis of Prime Distribution and Informational Physics |
| topic | Number Theory, Riemann Hypothesis, Informational Physics, Causal Recursion Field Theory, Quantum Chaos, Prime Distribution. |
| url | https://doi.org/10.5281/zenodo.17780743 |