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| Format: | Recurso digital |
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Zenodo
2025
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| Accés en línia: | https://doi.org/10.5281/zenodo.17393573 |
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- <p><strong>Description :</strong></p> <p> </p> <blockquote>In the <em>Membrane Theory</em> framework, the concept of breathing was first introduced as the intrinsic oscillation of particles—a rhythmic collapse and expansion stabilizing existence within a discrete space lattice. In this fourth work, breathing is elevated from a local property of matter to the expression of a higher breathing geometry: a universal oscillatory continuum whose two orthogonal projections appear as relativity and coherence. Space is shown to be a dynamic, energetic medium whose contraction and expansion define both the structure and the limits of all physical law.</blockquote> <blockquote>Two fundamental postulates are established: the <span><strong>Breathing Principle</strong></span>, describing the rhythmic alternation of lattice contraction and void expansion, and the <span><strong>Energetic-Space Principle</strong></span>, defining space as an active continuum that stores and transmits energy. Their consequence, the unifying operator equation <span>(\mathcal D+\mathcal V)\Phi=\lambda\Phi</span>, yields both the relativistic invariant <span>c</span> and a new coherence invariant <span>\tau_V</span>, joining relativity and quantum mechanics within one geometry of breathing space.</blockquote> <blockquote>The paper introduces the Cτ-space (Riemann-sphere) geometry, demonstrates the role of breathing momentum and residue quantization, and links the macroscopic continuum to its Planck-scale lattice origin. Relativity and quantum coherence emerge as orthogonal harmonics of the same universal rhythm—two faces of the breathing equilibrium of space.</blockquote>