Relativity and Cosmology

    

The Matryoshka Universe: An Investigation Into 4-Sphere Cosmology

Authors: Philip Carmichael

We propose a cosmological model in which the universe is described as a 4-sphere: a non-Euclidean, inwardly expanding spacetime geometry. In this framework, past states of the universe are represented by concentric shells surrounding the central present, like nested Matryoshka dolls with increasing internal volume. Time flows radially inward from the Cosmic Microwave Background (CMB) toward the present, resolving the horizon problem geometrically and reframing redshift as a consequence of progressive curvature rather than accelerating expansion. The model suggests that entanglement arises from global geometric constraints, not nonlocal signaling, and that inertial frames comoving with the CMB may be physically privileged. While the model is presented conceptually, it invites further mathematical development and may offer insights into dark energy, the Hubble tension, and the structure of spacetime itself.

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[v1] 2025-04-28 20:35:56

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