arXiv subjects

Shoshauna Gauvin

Publications and source records attributed to Shoshauna Gauvin.

3 recordsLinked to original sources

arXiv2026

Pinched Multi Affine Geometry and Confinement: Describing the Yang-Mills Mass Gap

We give physical gap certificates for regulated Yang-Mills Hamiltonians and conditional continuum-transfer criteria. At fixed spatial cutoff, the physical $SU(3)$ Hamiltonian has a volume-independent gap of at least $8a/3$ for magnetic/electric ratio $b/a\le1/648$, with a thermodynamic ground state and a surviving finite-energy Wilson excitation. Its centered two-point autocorrelations have positive spectral representations; on the stated periodic cubes, every positive magnetic coupling gives the elementary plaquette at least two active energies. Quantum relative entropy identifies the physical energy form, while exact elimination retains the dynamical memory of discarded modes. We derive volume- and exterior-uniform vacuum score bounds, construct compatible finite hierarchies, and give summability and spectral-tightness criteria for limiting dynamics and surviving observables. Pinching motivates a conditional tube-energy balance; its use for an infrared gap requires uniform comparison with the complete vacuum-subtracted quantum energy after relaxation, including control of local low modes and localization errors. The remaining inputs include uniform infrared and shell estimates, local vacuum comparison rates, and relativistic field reconstruction. The interacting four-dimensional construction, nontrivial renormalized local fields and a uniform physical mass gap remain unproved.

physics.gen-ph↗

arXiv2026

Dual Affine Connections, Legendre Transforms, and Black Hole Thermodynamics

We bound finite quantum information loss and black-hole entropy increments using a positive scalar response and its variation. On Hessian branches, the integrated cubic norm equals the total variation of logarithmic response. We derive an explicit optimal asymmetry bound under simultaneous response-range and affine logarithmic-slope constraints, including nonmonotone responses; full Legendre duality gives an invariant certificate. For nested intervals in a thermal two-dimensional conformal field theory, known infinite-line modular data express restriction loss as an exact Bregman divergence in temperature squared. We prove complete monotonicity and strict log-convexity of its response. At any fixed positive temperature-squared step, the directed asymmetry uniquely identifies the thermal offset within this family, independently of central charge. This yields attained inverse intervals, a consistency test across accessible fractions and certified Legendre-dual budgets. A benchmark improves the range-only bound by $24.6\%$ and the slope-only bound with the same budget by $2.73\%$. The semiclassical planar Bañados-Teitelboim-Zanelli interpretation concerns exterior thermal scales. For uncertain thermodynamic responses, classical expectation optimization gives sharp entropy constraints at fixed energy increment. In an asymptotically flat Einstein-Maxwell spacetime with a finite cavity, we prove a uniform response envelope for $|q|/R\le0.1$ on a specified matched large-horizon branch. The exact family gives charge ordering, unique charge-magnitude inference and an entropy test that rejects a response-band-compatible pair with admissible energy. Sharpness concerns the stated response classes; no microstate or dissipative dynamics is inferred.

physics.gen-ph↗

arXiv2026

A Multi Affine Geometric Framework for Quantum Nonlocality. Unifying Berry Phases, Entanglement, and Coherence

We relate Berry-phase control and retained entropy geometry to recoverable coherence, entanglement, and Clauser-Horne-Shimony-Holt (CHSH) correlations. For a depolarized Bell pair subject to recorded phase noise, we determine exact CHSH optima when Bob retains his record and when he compresses it with his qubit into one qubit by any deterministic quantum channel. Some records preserve a violation that every such compression loses. The retained transverse metric gives sharp resource intervals. Nevertheless, for every finite derivative order, two finite readouts of the same noise can match all pulled-back monotone-metric and relative-entropy derivatives at faithful diagonal inputs while giving opposite recovered CHSH outcomes. Complete transverse entropy response determines the reliability law. A finite transitionless Berry loop realizes the channel; zero-expectation conditional control errors give a quadratic reduced-channel accuracy certificate. Transport, thermal, and accelerated-detector applications specialize established channel criteria under explicit preparation and accuracy assumptions. These model-dependent certificates supply neither a universal entanglement lifetime nor a detector-independent acceleration bound.

quant-ph↗