The growth of Krylov spread complexity in black hole interiors has been found to exhibit quadratic behavior, as demonstrated through a partition-function construction for thermofield-double states1. This discovery provides a crucial step forward in understanding the holographic complexity of black holes beyond the limitations of 2d dilaton gravity. By leveraging a dimension-independent boundary reconstruction from semiclassical holographic partition functions, researchers have made significant progress in quantifying the growth of black-hole interiors. The implications of this breakthrough extend far beyond the realm of theoretical physics, as the principles underlying Krylov spread complexity may have applications in fields such as quantum computing and cybersecurity. As state-aligned threat activity continues to escalate, the geopolitical implications of such advancements cannot be overstated, making it essential for practitioners to stay informed about the latest developments in this field.
The quadratic growth of Krylov spread complexity in the BTZ black hole
⚠️ Critical Alert
Why This Matters
State-aligned threat activity raises the calculus from criminal to geopolitical — implications extend beyond the immediate target.
References
- Anonymous. (2026, August 10). The quadratic growth of Krylov spread complexity in the BTZ black hole. arXiv Quantum Physics. https://arxiv.org/abs/2608.09922v1
Original Source
arXiv Quantum Physics
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