Sparad:
| Huvudupphovsmän: | , |
|---|---|
| Materialtyp: | Recurso digital |
| Språk: | |
| Publicerad: |
Zenodo
2026
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| Länkar: | https://doi.org/10.5281/zenodo.19650921 |
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Innehållsförteckning:
- <p>We propose a fundamental principle: the expansion degree of any physical field —<br>the ability of its energy to propagate away from the source — is determined by the<br>oscillation frequency of the source. Starting from an oscillating electric dipole in<br>vacuum, we derive an exact expression for the expansion degree<br>ℰ (f)=(f/f0)3/[1+(f/f0)3], where f0=c/(2πa) is the characteristic frequency determined by<br>the source size a. Numerical integration confirms that the near-field stored energy is<br>frequency-independent, while the radiated power scales as ω4. The result is<br>generalized to arbitrary multipole order l, yielding ℰ (f)=(f/f0)2l+1/[1+(f/f0)2l+1],<br>unifying monopole, dipole, quadrupole, and gravitational radiation[1,4]. We then<br>construct a non-local unified field equation ▫Φ+μ2ℰ−1Φ=ρ, where ℰ−1 introduces a<br>frequency-dependent modification that smoothly interpolates between low-frequency<br>bound states (near field) and high-frequency radiation (far field). The model is<br>extended to lossy dielectrics, yielding a predicted peak in expansion degree versus<br>distance. Applications to gravitational waves predict a quintic frequency scaling<br>ℰ GW∝f5, and the cosmological constant is interpreted as zero-frequency geometric<br>expansion . Five testable predictions are provided, some of which can be tested in<br>current experiments, while others point to future higher-energy scales.</p>