Universidad Autónoma de Santo Domingo

The Informational Numerical Space: energetic coherence and causal structure

We propose the Informational Numerical Space (ENI), a physico-mathematical structure whose elementary object is a four-component informational state (λ, τ, σ, ι), where λ is an informational spatial scale, τ an informational temporal scale, σ a discrete causal role, and ι a norma...

The critical exponent Alpha_ℙ of the Alpha family over the primes

For k > 0 let S(k) = Σ_p 1/(p (log p)^k). We prove that S is real-analytic and strictly convex on (0, ∞) and has a unique minimizer k_ℙ, with three equivalent characterizations: variational, as an exact balance between the negative atom at p = 2 and the primes p ≥ 3, and as an ex...

The Dense Divisor Model over F_q[t]: Exact identities, the absence of faces, and the location of the selector problem

This working note transfers the dense divisor model of the author's Parts I and II to the polynomial ring 𝔽_q[t], in order to separate the arithmetic features of the model from artefacts of the real place. Over 𝔽_q[t] the single-variable Selberg–Delange identity is exact, the lat...

Minor-Arc Cancellation for the Dense Reciprocal Transform: A Complete Non-Local Theorem after Canonical Local-Conductor Extraction

This preprint proves a complete non-local theorem for the centered reciprocal defect arising from a dense two-dimensional lattice decomposition. The central structural ingredient is an exact GCD-contraction identity. If g=(h,r)g=(h,r), r=gqr=gq, and H=h/gH=h/g, then every gcd-res...

The Dense Divisor Local Tower and Face-Residue Cancellation: A Downstream Companion to the AM-TRD Non-Local Theorem

This companion preprint develops the application-specific local analysis associated with the dense divisor model underlying the AM-TRD non-local theorem. The paper is deliberately separated from the autonomous AM-TRD result and has a different epistemic status. Whereas the non-lo...

The M_R Family: Gaussian Regularization of the Prime Alpha Family, Geometry of Zeros, Arithmetic Structure, and Thermal Laws

We introduce the M_R family of logarithmically weighted prime series as a Gaussian regularization of the prime Alpha family. The paper develops its joint holomorphy, exact differential hierarchy, vertical heat equation, Gaussian semigroup, Mellin and Laplace transforms, positivit...

Management of metastatic spinal disease in low- and middle-income countries: an international survey of practices and challenges in Latin America

Spinal metastases impose urgent diagnostic and therapeutic demands; however, evidence from low- and middle-income countries (LMICs) in Latin America is sparse. We aimed to characterize real-world practices, access gaps, and priorities to in-form context-adapted guidelines. We con...

Accretion disks in Schwarzschild-MOG and Kerr-MOG backgrounds: MOG parameter in terms of observational quantities

Abstract We apply a general relativistic framework to static and rotating black hole solutions in Scalar–Tensor–Vector Gravity or modified gravity (MOG). Our results yield exact analytic, closed-form relations expressing the mass M , the MOG coupling parameter $$\alpha $$ <mml:ma...

A Moving-Cut Correction to the Huang–Li Conditional Goldbach Argument: Consequences for Diagonal Möbius-Twisted Elliott–Halberstam Hypotheses

This note identifies and repairs a moving-cut omission in the large-divisor rearrangement used in Huang and Li's conditional argument for the binary Goldbach conjecture. Under the substitution k=(N−n)/d, the condition d>α becomes k<(N−n)/α; after reversing the order of summation,...

Orbital Decomposition of the Wronskian and Orbital Vandermonde Polynomials

This paper introduces an orbital decomposition of the Wronskian determinant induced by the right action of the cyclic subgroup CnC_nCn on the symmetric group SnS_nSn. For functions f1,…,fnf_1,\ldots,f_nf1,…,fn of class Cn−1C^{n-1}Cn−1 on an interval, the n!n!n! terms in the Leibn...

Violence, Stigma, and Moral Injury in Nursing During the COVID‐19 Pandemic: A Qualitative Analysis From 18 Countries in Latin America and the Caribbean

Workplace violence against nurses and midwives intensified during the COVID-19 pandemic, exposing and amplifying longstanding structural marginalization in health systems across Latin America. This study analyzes how different forms of violence were experienced and described by n...