ABSTRACT
This paper develops a novel theoretical framework connecting twisted spectral triples to emergent phenomena in cosmology, proposing a natural algebraic mechanism for addressing the Lorentzian signature problem and offering new perspectives on dark energy as an emergent phenomenon.
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Key findings
Twisted spectral triples provide a mechanism for Lorentzian signature emergence.
The framework suggests cosmological features may arise from intrinsic noncommutativity of space-time.
Proposes experiments for validation and a risk analysis for quantum cosmology.
Limitations & open questions
The transition between Riemannian and Lorentzian signatures remains an open question.
Further research is needed to fully understand the role of modular automorphism in cosmological time evolution.