Conclusion
The ER = EPR conjecture presents a profound insight: that wormholes in general relativity and quantum entanglement in QFT might be two sides of the same coin. To reconcile GR and QFT through this idea, we need to develop a formalism that:
1. Describes quantum entanglement as a geometric feature of spacetime.
2. Modifies Einstein’s equations to include quantum information terms, such as entanglement entropy or other quantum correlation measures, which can serve as sources of spacetime curvature.
3. Explores the holographic principle (as in AdS/CFT), where spacetime geometry and quantum information are dual descriptions of the same physical reality, potentially using the Ryu-Takayanagi formula to relate entanglement to spacetime surfaces.
4. Develops a framework where non-traversable wormholes are interpreted as the geometric representation of quantum entanglement, thus linking classical geometry (wormholes) with quantum phenomena (EPR pairs).
To summarize, formalizing ER = EPR requires bridging the conceptual gap between quantum information theory and spacetime geometry. By connecting quantum entanglement with wormhole structures, we might uncover a new perspective on how spacetime and quantum fields interact. This could eventually lead to a unified description of gravity and quantum mechanics, providing a quantum theory of gravity that integrates both General Relativity and Quantum Field Theory into a coherent framework.
Penutup
Kelima opsi dan kemungkinan di atas, walaupun tampak logis, membuat formalisme matematisnya tidaklah mudah, bahkan sangat sulit. Sejak Newton, Maxwell, dan Einstein semua kerangka kerja fisika harus menggunakan formalisme matematis. Eksperimen pikiran dalam fisika bukanlah filsafat, tapi gerbang kepada formalisme matematis.
Bacaan LanjutanÂ
https://phys.org/news/2024-10-planck-scale-dark-leveraging-quantum.html
