Introducing the Pointon: A Heuristic Model for the Holographic Encoding of the Universe from First Principles

Mathematics – Logic

Scientific paper

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Scientific paper

Contraction of a cyclic (3+1)d universe is described topologically as the collapse of 3-sphere to a ``pointon.'' A spinning universal energy quantum, characterized by an anti-symmetric relativistic angular momentum 6-tensor, M^ab. Holographic duals over fractal dimensions persist via spin-spin-spin couplings as r->0. A self-referential proper frame preserves continuity and causality, with t'Hooft conditions shown in equivalence classes of pointonic degrees of freedom, quantized temporally as f(nπ)-1 at first principles. A spin operator, S, and propagator (generator), ξ^abc, with recursive self-referential coefficient, Ae^iln(i), and coupling constant, α´, where A is a complex number. Recursive cycling over O(3) spin symmetry can describe generally covariant operations on a universal wavefunction. Unwinding of successive rotations of pointon's ``effective'' angular momentum characterized as Markovian quanta over Hausdorff fractal topology, ``act-ing'' over temporal units, per 2π rotation, and helicity of proper frame governed by the self-backreaction,. ``Effective'' indicating normalization of, , per cost in entropy, kB. Paths of least action for pointon's unwinding to spontaneous symmetry-breaking, from discrete non-interacting regime to surface area maximizing tetron (topological tetrahedroid) regime -> rapid expansion. Duals of ``effective'' informational action and angular momentum transform to linear momentum, mass-energy, and quasi- and virtual bound-state of spacetime fabric.

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