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Swartz, P.D. (2025) The Geometry of Anti-Causal Spacetime: Photon-Tachyon Duality, Complex Curvature, and a Time-Symmetric Cosmological Framework. Journal of High Energy Physics, Gravitation and Cosmology, 11, 1311-1332.
https://doi.org/10.4236/jhepgc.2025.114082

has been cited by the following article:

• TITLE: The Hyperflower: Strange Attractors in Complex Hilbert Space Cosmology

  AUTHORS: Peter D. Swartz

  KEYWORDS: Black Holes, White Holes, Big Bang, Hilbert Space, Chaos Theory, Strange Attractors, Lorenz Systems

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.11 No.4, October 22, 2025

  ABSTRACT: This paper presents a novel extension of cosmological dynamics into a complex Hilbert space, where trajectories in spacetime are influenced by dual attractors—one causal, one anticausal—embedded in a complexified manifold. Motivated by recent proposals that interpret black holes as sources of tachyonic emissions flowing backward through time, we construct a mathematical formalism using complex-valued time coordinates, Lagrangian field theory, and chaotic attractor models generalized to infinite dimensional settings. This framework offers a unifying picture of entropy balance, and black hole information conservation, with testable implications for cosmic structure and future observables.