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Part I

6. Singularities Do Not Occur, at the Big Bang or Anywhere Else

BFUT Paper 26 derives the actual physical mechanism that prevents a true singularity from forming under any circumstances. Compression of the substrate away from its equilibrium density rho_s generates a restoring pressure that grows linearly with the deviation, P_restore = (rho_s over 4) times (rho minus rho_s), and at higher densities a further, superlinear repulsion term, P_repulsion = 3C times rho squared, becomes dominant and grows faster than any finite inward gravitational pressure could ever overcome. Collapse terminates when this combined restoring pressure equals the inward force, at a finite maximum density asymptote, not at infinity. Not only did a singularity not occur at the Big Bang, because the Big Bang itself did not occur; this mechanism rules out a true singularity forming anywhere, including inside black holes, where observed properties remain fully consistent with a finite-density core, not the standard singular one [P26].

Source papers: P26

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