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| Formato: | Recurso digital |
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Zenodo
2025
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| Acceso en línea: | https://doi.org/10.5281/zenodo.17443715 |
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- <p>This paper presents a new formulation of <em>universal invariance</em> through the <strong>Tempo Field of Rupture–Containment Cosmology (RCC)</strong> — a medium-scaling extension of relativity that replaces geometric curvature with a physically measurable field of temporal tension.<br>Where Einstein’s General Relativity encodes rate differences as spacetime curvature, RCC interprets them as gradients in a continuous scalar medium, linking the local tempo of physical processes to the tension of the underlying substrate.</p> <p>The framework preserves all verified predictions of relativity while providing a dynamic explanation for large-scale phenomena such as <strong>cosmological redshift</strong> and the <strong>Hubble tension</strong>.<br>RCC introduces a scalar field, $\varepsilon(x)$, whose relaxation defines the local tempo $\tau(x) = 1 + \kappa \varepsilon(x)$, ensuring exact Lorentz invariance within each local frame ($\tau = 1$) and lawful co-scaling of dimensional rates across regions ($\nabla\tau \neq 0$).<br>The result is a <strong>tempo-covariant universe</strong>, where invariance of law form is maintained while time, length, and light speed co-scale with the medium’s state.</p> <p>The paper unites insights from <strong>Einstein’s geometric invariance</strong>, <strong>Bohr’s relational contextuality</strong>, and <strong>Noether’s conservation symmetries</strong>, offering a physical completion of relativity in which time becomes a measurable field rather than a coordinate parameter.<br>It proposes new empirical pathways — from GPS-based clock comparisons to deep-field redshift mapping — to test the gradient of $\tau(x)$ and reinterpret the Hubble constant as a direct measure of cosmic medium relaxation.</p>