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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19656414 |
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- <h2>Description:</h2> <p>This work proposes a <strong>testable and conceptually unified framework</strong> for early-universe cosmology based on the principle of the <strong>infinite gap (ε∞)</strong>—a fundamental distinction between ideal mathematical limits and physically realizable quantities.</p> <p>Within this framework, cosmological singularities are not treated as physical states but as <strong>unattainable limits</strong>, leading naturally to a <strong>non-singular bounce scenario</strong>. By introducing a minimal quadratic correction to the Friedmann dynamics, the model predicts a bounded energy density (ρ ≤ ρmax), replacing the Big Bang singularity with a smooth transition between contraction and expansion.</p> <p>A key strength of this approach is its <strong>direct observational relevance</strong>. The model generates <strong>distinct, falsifiable predictions</strong>, including:</p> <ul> <li> <p>A <strong>systematic suppression</strong> of the primordial power spectrum at large scales, consistent with existing CMB anomalies,</p> </li> <li> <p><strong>Oscillatory signatures</strong> imprinted by pre-bounce physics, offering a potential smoking gun for non-singular cosmologies,</p> </li> <li> <p>A <strong>naturally reduced tensor-to-scalar ratio</strong>, aligning with current observational bounds without fine-tuning.</p> </li> </ul> <p>Unlike many alternative early-universe models, this framework does not rely on speculative fields or complex mechanisms but emerges from a <strong>minimal modification grounded in a deeper interpretational principle</strong>.</p> <p>Beyond phenomenology, the infinite gap ε∞ provides a <strong>foundational reinterpretation of physical law</strong>, suggesting that the structure of reality is intrinsically constrained by the limits of representation. In this view, cosmology becomes a bridge between mathematical idealization and measurable physics.</p> <p>This work establishes a <strong>clear pathway toward observational verification</strong>, making it relevant for current and next-generation probes of the cosmic microwave background and large-scale structure. It thus contributes both a <strong>testable model</strong> and a <strong>conceptual advance</strong> in our understanding of the early universe.</p> <h2><strong>Keywords: </strong></h2> <p>Non-Singular Cosmology, Bounce Universe, Infinite Gap ε∞, Early Universe Physics, Modified Friedmann Equation, Primordial Power Spectrum, CMB Anomalies, Quantum Cosmology, Cosmological Perturbations, Inflation Alternatives</p> <h2> </h2> <ul> <li> <p><strong>References:</strong></p> <ul> <li> <p>Planck Collaboration (2018)</p> </li> <li> <p>Ashtekar & Singh (Loop Quantum Cosmology)</p> </li> <li> <p>Brandenberger & Peter (Bouncing Cosmologies)</p> </li> </ul> </li> </ul> <h2> </h2> <ul> <li> <p><strong>Cosmology</strong></p> </li> <li> <p><strong>Theoretical Physics</strong></p> </li> <li> <p><strong>Astrophysics</strong></p> </li> <li> <p><strong>Quantum Gravity</strong></p> </li> </ul> <h2> <strong>Creators:</strong></h2> <p>Taoussi Ayoub</p> <h2><strong>Notes :</strong></h2> <p>This work is part of an ongoing research program exploring the physical implications of the infinite gap ε∞ as a foundational principle in physics.</p> <h2> </h2>