Daniel Avilés Hurtado

Plausibility and Truth: Towards a Framework for the Life Cycle of Scientific Theories

Exploration produces speculation, and the word ``speculation'' is commonly used as a verdict rather than as a description. The same label is applied to general relativity before the eclipse of 1919 and to an invisible dragon that leaves every instrument silent. This paper, a sequ...

The Underestimated Relatives. From Electron Architecture to a Vortical Family Grammar

This article extends the vortical partiwave ontology from the electron to a broader family of quantum relatives: the positron, proton, neutron, neutrino, and mesons. Starting from a comparative anatomy organised around three levels---knotter, vortices, and whole architecture---we...

The Electron Under Questioning: g$-$2, the Fine-Structure Constant and the Anatomy of an Anomaly

The magnetic moment of the electron exceeds the value predicted by Dirac's equation by about one part in a thousand, a number now measured to thirteen significant digits and reproduced by quantum electrodynamics with legendary precision. This article reopens the file in two voice...

The Underestimated Relatives. From Electron Architecture to a Vortical Family Grammar

This article extends the vortical partiwave ontology from the electron to a broader family of quantum relatives: the positron, proton, neutron, neutrino, and mesons. Starting from a comparative anatomy organised around three levels---knotter, vortices, and whole architecture---we...

Curiosities of the D Function: Playing with a New Toy

A new mathematical tool is best known by playing with it. The D function, $D_A(s)=\sum_n(a_{n+1}-a_n)\,a_n^{-s}$, was introduced to read the staircase of the primes. Here we apply it to things far beyond its purpose, and listen to what it says. A sequence that swings ever more vi...

Opening Combinatorial Possibilities for Goldbach's Conjectures: The Three-Prime Difference Theorem

Goldbach's conjecture asks whether every even number is a sum of two primes. We examine the same question through differences. Every even number, including $2$, appears to be a difference of two primes in two families: with one prime below the number and one above, a family that...

Opening Combinatorial Possibilities for Goldbach's Conjectures: The Three-Prime Difference Theorem

Goldbach's conjecture asks whether every even number is a sum of two primes. We examine the same question through differences. Every even number, including $2$, appears to be a difference of two primes in two families: with one prime below the number and one above, a family that...

Heisenberg's Electron. From Point Location to Bivortical Region

This article continues the bivortical ontology of The Electron as a Double Vortex, concentrating on the uncertainty relations. Its central claim is direct: the position--momentum and energy--time relations are entirely true --- and entirely logical --- for an extended structure....

Qualitative Mathematics: First Supplement. A Grammar That Keeps Growing

This supplement extends the qualitative mathematics introduced in Billions and Billions of Universes. It brings together functional transparency, convergence and divergence, directional coupling, bounds and thresholds, narrowing and widening, deflection, chirality, loops and recu...

Qualitative Mathematics: First Supplement. A Grammar That Keeps Growing

This supplement extends the qualitative mathematics introduced in Billions and Billions of Universes. It brings together functional transparency, convergence and divergence, directional coupling, bounds and thresholds, narrowing and widening, deflection, chirality, loops and recu...

The Power of the Dreaming. A Study on the Role of Time in Physics

This paper presents a philosophical thought experiment concerning the physical definition of power, P = W/t. Rather than treating time as a homogeneous and purely metric interval, it asks how the concept of power changes when examined through a relational temporality inspired by...

The Power of the Dreaming. A Study on the Role of Time in Physics

This paper presents a philosophical thought experiment concerning the physical definition of power, P = W/t. Rather than treating time as a homogeneous and purely metric interval, it asks how the concept of power changes when examined through a relational temporality inspired by...

The Compton Effect. A Tale of Two Encounters

The Compton effect is conventionally represented as a collision between a photon and an electron, with the observed wavelength shift determined by energy--momentum conservation and scattering geometry. This article revisits the event from a complementary perspective. Beginning fr...

Coherence Vortices. A Mathematical Grammar for Post-Critical Emergence

Complex systems approaching a critical transition are often studied through the mechanisms that constrain, destabilise, or collapse their previous organisation. This article examines the complementary question: how does a new collective regime become organised after the critical...

Coherence Vortices. A Mathematical Grammar for Post-Critical Emergence

Complex systems approaching a critical transition are often studied through the mechanisms that constrain, destabilise, or collapse their previous organisation. This article examines the complementary question: how does a new collective regime become organised after the critical...