An operator-frame principal bundle with an Ehresmann connection yields a quantum geometric tensor that remains analytic across vacuum-instability phase transitions where conventional state-space geometry fails.
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A unified framework for functional theories of quantum systems is introduced via scopes of observables and fixed Hamiltonian parts, enabling general proofs of universal functionals, convexity, differentiability, representability, and Hohenberg-Kohn-type uniqueness across variants.
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Operator-frame geometry of non-compact quantum systems with frame-vacuum phase transitions
An operator-frame principal bundle with an Ehresmann connection yields a quantum geometric tensor that remains analytic across vacuum-instability phase transitions where conventional state-space geometry fails.
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Unified Framework for Functional Theories of Quantum Systems
A unified framework for functional theories of quantum systems is introduced via scopes of observables and fixed Hamiltonian parts, enabling general proofs of universal functionals, convexity, differentiability, representability, and Hohenberg-Kohn-type uniqueness across variants.