TITLE:
The Geometry of Anti-Causal Spacetime: Photon-Tachyon Duality, Complex Curvature, and a Time-Symmetric Cosmological Framework
AUTHORS:
Peter Daniel Swartz
KEYWORDS:
Black Holes, Big Bang, Quantum Entanglement, Wavefunction Collapse, Dark Matter, Dark Energy
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.11 No.4,
September
26,
2025
ABSTRACT: We propose a novel extension of general relativity and quantum field theory in which spacetime is treated as a complexified manifold containing both causal (real-time) and anti-causal (imaginary-time) components. Within this framework, black holes act as phase boundaries between forward-traveling photon states and backward-traveling tachyon states, facilitating a global time-symmetric flow of information and entropy. We construct a Lagrangian model in which tachyons arise as imaginary-mass solutions coupled to anti-causal curvature fields, and we derive modified Einstein field equations with both real and imaginary stress-energy sources. This formalism provides a geometric interpretation of entanglement collapse, avoids singularities via photon-tachyon phase transitions, and naturally accounts for dark matter and dark energy as anti-causal mass contributions flowing toward the Big Bang. We present specific observational predictions—including evolving features in the CMB, curvature anomalies near black holes, and entanglement decoherence at cosmological scales—and suggest avenues for testing this model via gravitational lensing, high-energy astrophysics, and entanglement interferometry. Our findings support the idea that the universe is globally time-symmetric, with causality and anti-causality jointly embedded in the complex geometry of spacetime.