Néstor E Ramos

The Hyperfine Structure (21-cm Line) as Discrete Phase-Locking: Replacing Magnetic Dipoles with Hardware Clock Incompatibility

The astrophysical 21-cm hyperfine line of hydrogen is traditionally described as the energy splitting arising from the continuous magnetic dipole-dipole interaction between the electron and proton spins. In this paper, we expose a fundamental methodological trap in digital physic...

Dissolving the EPR Paradox: Quantum Entanglement as Topological Non-Separability in a Discrete Substrate

Quantum entanglement remains the most contentious phenomenon in modern physics, famously described by Einstein as "spooky action at a distance." The standard interpretation relies on the instantaneous collapse of a non-local wave function, a mechanism that blatantly challenges th...

The Relativistic Orange vs. The Electron: Topological Complexity and the Hardware Limits of Special Relativity

The question of whether a macroscopic bound object (e.g., a 150-gram orange) can be accelerated to relativistic speeds (e.g., 0.8) remains an untested assumption in modern physics. The mainstream view asserts that such acceleration is merely an engineering problem, extrapolating...

Navier-Stokes Without Infinity: A Structural Argument for the Dissolution of the Millennium Problem

The Navier-Stokes existence and smoothness problem asks whether smooth solutions of the incompressible Navier-Stokes equations in three dimensions can develop finite-time singularities. The Clay Mathematics Institute lists this as one of seven Millennium Prize Problems. We argue...

Emergent Spacetime, Dark Sectors, and the Boundaries of Algebraic Derivation in Computational Finitism

This is the third paper in a three-part series on the electron in Computational Finitism. The first two papers [Ramos N.E. (2026) The Electron in Computational Finitism and Derivation of the Electron] derived five properties of the electron from a specific 9-dimensional Fano-TRB...

Derivation of the Electron from the Fano-TRB Substrate: Five Rigorous Results

We derive five properties of the electron from the specific discrete substrate of Computational Finitism: the fine-structure constant α = 1/137, the 12-vertex icosahedral shell, the 13-fold twist of the Möbius topology, spin-1/2, and the Zitterbewegung frequency. The substrate is...

The Electron as an Octonionic Möbius Defect: An Algebraic Derivation Within Computational Finitism and an Evaluation of Competing Geometric Models

H. H. Otto (2026) has proposed using artificial intelligence to evaluate competing geometric models of electron structure and identify the most probable one. We argue that evaluation requires ground truth, not comparison. Computational Finitism provides this: a finite Modulo-9 ca...

The Scalar Wall: A Negative Result on Modulo-9 Cellular Automata and the Necessity of Octonionic Operations in Computational Finitism

We document a systematic negative result: scalar Modulo-9 cellular automata, regardless of dimensionality, weighting, or update rule, cannot produce two essential features of the electron: chirality and localized defects. Twenty distinct simulations were run across 1D, 2D, and 4D...

The Scalar Wall: A Negative Result on Modulo-9 Cellular Automata and the Necessity of Octonionic Operations in Computational Finitism

We document a systematic negative result: scalar Modulo-9 cellular automata, regardless of dimensionality, weighting, or update rule, cannot produce two essential features of the electron: chirality and localized defects. Twenty distinct simulations were run across 1D, 2D, and 4D...

Computational Finitism in Evolutionary Biology: Three Axes of Discrete Dynamics

Classical evolutionary biology relies on continuous mathematics and infinite population assumptions that obscure the discrete, computational nature of biological systems. We present a finitism framework for evolutionary biology based on three fundamental axes: (1) Evolution as Al...

Computational Finitism in Evolutionary Biology: Three Axes of Discrete Dynamics

Classical evolutionary biology relies on continuous mathematics and infinite population assumptions that obscure the discrete, computational nature of biological systems. We present a finitism framework for evolutionary biology based on three fundamental axes: (1) Evolution as Al...

The End of the Thermodynamic Limit: Finite Statistical Mechanics and Emergent Phase Transitions in a Discrete Substrate

Standard statistical mechanics and continuum thermodynamics rely entirely on the Thermodynamic Limit, the assumption that the number of particles → ∞ and volume → ∞ , to explain sharp phase transitions and macroscopic equilibrium. We propose a radical ontological shift: macroscop...

The Arithmetic Arrow of Time: Entropy as Deterministic Information Loss in a Finite Alphabet

The Second Law of Thermodynamics dictates that entropy in an isolated system always increases (), giving rise to the "Arrow of Time." In standard physics, this is a statistical phenomenon: systems evolve toward macrostates with a higher number of microstates (Boltzmann). We propo...

The Arithmetic Arrow of Time: Entropy as Deterministic Information Loss in a Finite Alphabet

The Second Law of Thermodynamics dictates that entropy in an isolated system always increases (), giving rise to the "Arrow of Time." In standard physics, this is a statistical phenomenon: systems evolve toward macrostates with a higher number of microstates (Boltzmann). We propo...

Emergent Randomness and the Anatomy of Deterministic Decay in Computational Finitism

Standard Quantum Mechanics posits that randomness is ontological, a fundamental feature of reality where outcomes (such as radioactive decay or wave function collapse) are governed by irreducible probabilities (the Born rule). In this paper, we challenge this paradigm through the...