99.9...% of the SU(2) BFSS ground state
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arXiv: 2611.09837v1 · Summary page
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A tightly bounded foothold in matrix quantum gravity
The BFSS matrix model offers a setting for studying connections between quantum mechanics and gravity. A new calculation constructs an extraordinarily accurate approximation to its ground state for the SU(2) case. The key is an auxiliary operator that matches the Hamiltonian on ground states but has a spectral gap, together with representation theory that drastically reduces the calculation’s size.
The authors compute the variational basis’s inner products exactly and establish rigorous bounds on both energy and overlap with the ground-state subspace. Their state also reproduces the predicted large-distance behavior of the radial probability distribution, including its coefficient, from a three-graviton amplitude. That agreement makes this more than a numerical approximation: it connects a controlled quantum-mechanical calculation with a specific gravitational prediction.
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