Murillo Fonseca

Exponential Quantum Schrödinger Potentials with Subdominant Corrections and the Hilbert–Pólya Problem: Extended Spectral No-Go Theorems

This work investigates half-line quantum Schrödinger operators with a dominant exponential potential and real subdominant corrections in the context of the Hilbert–Pólya problem. It extends an earlier exact spectral no-go result for purely exponential potentials to a substantiall...

Exponential Quantum Schrödinger Potentials and the Hilbert–Pólya Problem: An Exact Spectral No-Go

This work investigates a family of one-dimensional quantum Schrödinger operators with purely exponential confining potentials as candidates within the Hilbert–Pólya program. The analysis shows that matching the leading spectral counting behavior associated with the Riemann zeros...

Exponential Quantum Schrödinger Potentials and the Hilbert–Pólya Problem: An Exact Spectral No-Go

This work investigates a family of one-dimensional quantum Schrödinger operators with purely exponential confining potentials as candidates within the Hilbert–Pólya program. The analysis shows that matching the leading spectral counting behavior associated with the Riemann zeros...

Casimir-Robin Backreaction between Positive Anti-de Sitter (AdS4) Branes: A Semiclassical No-Go for a Static Five-Dimensional Wormhole

This preprint investigates the semiclassical backreaction generated by the Casimir effect for massless conformally coupled scalar fields confined between two positive AdS4 branes with local Robin boundary conditions in a five-dimensional Einstein-gravity background. The detuned A...

Quantum Vacuum Fluctuations in the Interbrane Bulk and the Insufficiency of Q-balls to Sustain Pentadimensional Wormholes

This research provides a rigorous semiclassical analysis of five-dimensional interbrane models within the Randall–Sundrum II framework. The study addresses the energetic stability and physical traversability of Lorentzian wormholes sustained by quantum vacuum fluctuations. The ma...

Quantum Vacuum Fluctuations in the Interbrane Bulk and the Insufficiency of Q-balls to Sustain Pentadimensional Wormholes

This research provides a rigorous semiclassical analysis of five-dimensional interbrane models within the Randall–Sundrum II framework. The study addresses the energetic stability and physical traversability of Lorentzian wormholes sustained by quantum vacuum fluctuations. The ma...