Engineering Macroscopic Wormholes via Planck-Scale Quantum Backreaction

This paper proposes a novel mechanism for closed timelike curve (CTC) formation without violating the null energy condition (NEC). By leveraging Planck-scale quantum gravitational effects, we engineer transient wormholes stabilized by quantum coherence rather than exotic matter. Our model utilizes entangled spacetime geometries to create self-consistent time loops, avoiding Hawking's chronology protection mechanism. Rigorous mathematical analysis confirms that vacuum polarization divergences are suppressed through metric fluctuations at the Planck scale (P). Numerical simulations demonstrate macroscopic scalability via Bose-Einstein condensate amplification. The framework resolves grandfather paradoxes through Deutsch's quantum consistency conditions and exhibits experimental signatures in cosmological inflation scenarios. This work establishes a viable pathway for macroscopic time travel without exotic matter, redefining fundamental limits in general relativity and quantum gravity.