Herman Jahzeel Martinez Suazo

Discrete Ricci Flow and Inflofluid Dynamics: A Purely Discrete Metric Approach to NP Combinatorial Complexity

The analogy of the "River of information" is not enough to solve the P vs NP problem, only gives you the clue to solve it, in this paper I use the discrete ricci flow to model any NP problem, in a discrete topology, without any regulator, pure discrete mathematics.

The Master Operator Framework: Algebraic Wave Splitting, 4-Term Potential-Vortical Decomposition, and Spectral Solution of Master Equations

This paper was designed to explain better the wave split operator, at the beginning used in the physical space, later on in the spectral space by using Fourier transform. This to explain how the master operator is applied across all my papers.

The Master Operator Framework: Spectral Decomposition, Micro-Wave Splitting, and Exact Mode Isolation

This paper was designed to explain better the wave split operator, at the beginning used in the physical space, later on in the spectral space by using Fourier transform. This to explain how the master operator is applied across all my papers.

A Topological-Arithmetic Framework for Fluid Transport: Modulo-9 Sieves, Master Operators, and Spectral Zeta Mapping

This paper was designed to provide an example, simpler and comprenhensive of the discrete regularization (discrete-continuum). How to apply the master operator, then how to regularize with the L-function mapping and for last how the discrete-continuum topology appears naturally....

Theoretical Framework of the Compressible and Incompressible Maxwell–Navier–Stokes Systems: Non-Dimensional Analysis, Euler–Stokes Dualities, and Modern Field Analogies

Here I explain the incompressible and compressible behavior of the Maxwell-Navier-Stokes equations, for electromagnetic fluids like plasmas, that by analogy all of them work like a fluid, studying all regimes, without using the potential-vortical decomposition and spectral decomp...

Discrete-Continuum Topology and the Hodge Conjecture: A Compressible Maxwell-Navier-Stokes and Modulo-9 Sieve Framework

Here I show my solution to the Hodge Conjecture using my framework and ansatz formulation.

Discrete-Continuum Topology and the Hodge Conjecture: A Compressible Maxwell-Navier-Stokes and Modulo-9 Sieve Framework

Here I show my solution to the Hodge Conjecture using my framework and ansatz formulation.

A Unified Framework of Discrete-Continuum Topology, Arithmetic Sieves, and Compressible Field Dynamics on Simply Connected Manifolds

I will like to show the discrete continuum as a special case of the ricci flow, is behaving the same way. This is my last paper, this is my personal research, and all the papers together are something I have worked for several years, I hope you like it, and contribute by enhancin...

CMNS FRAMEWORK: UNIFIED MASTER ACTION, VARIATIONAL BRIDGES, AND DISPERSIVE WAVE LIMITS

In this one we just use the master action to model the dispersive limits of the master wave, with this we can say without doubts that the framework is a complete bridge, between Hydrodynamics, Electrodynamics and finally the Quantum Mechanics.

A RIGOROUS DISCRETE-CONTINUUM PROOF FRAMEWORK FOR P = NP

This is my idea about the P vs NP problem, but the same analogy, but applied to computer sciences.

CMNS FRAMEWORK: DERIVING QUANTUM, FLUID, AND ELECTRODYNAMIC LIMITS FROM A MASTER ACTION

To close the framework and make it a bridge between Hydrodynamics, Electrodynamics and Quantum Mechanics. This is the asymptotic modelling of the limits of matter and energy.

CMNS FRAMEWORK: DERIVING QUANTUM, FLUID, AND ELECTRODYNAMIC LIMITS FROM A MASTER ACTION

To close the framework and make it a bridge between Hydrodynamics, Electrodynamics and Quantum Mechanics. This is the asymptotic modelling of the limits of matter and energy.

CMNS FRAMEWORK: UNIFIED MASTER ACTION, VARIATIONAL BRIDGES, AND DISPERSIVE WAVE LIMITS

In this one we just use the master action to model the dispersive limits of the master wave, with this we can say without doubts that the framework is a complete bridge, between Hydrodynamics, Electrodynamics and finally the Quantum Mechanics.

Unification of Light and Dark Holes via the Compressible Maxwell-Navier-Stokes Continuum: An Analogue Gravity Framework

Here I explain the link between light and Dark Holes.

Unification of Light and Dark Holes via the Compressible Maxwell-Navier-Stokes Continuum: An Analogue Gravity Framework

Here I explain the link between light and Dark Holes.

Theoretical Framework of the Compressible and Incompressible Maxwell–Navier–Stokes Systems: A Potential-Vortical Field Decomposition and Hydrodynamic Duality

Here I explain the incompressible and compressible behavior of the Maxwell-Navier-Stokes equations, for electromagnetic fluids like plasmas, that by analogy works like a fluid.

Unified Field Mechanics via Complex Fluid Dynamics: Modulo-9 Arithmetic Sieve Regularization, Proca Electrodynamics, and Emergent Logarithmic Gravity

A special solution of the Maxwell-Navier-Stokes equation, using the analogy of a compressible fluid. Here I introduce the term "Quantum Aether".

Theoretical Framework of the Compressible and Incompressible Maxwell–Navier–Stokes Systems: A Potential-Vortical Field Decomposition and Hydrodynamic Duality

Here I explain the incompressible and compressible behavior of the Maxwell-Navier-Stokes equations, for electromagnetic fluids like plasmas, that by analogy works like a fluid.

Unified Field Mechanics via Complex Fluid Dynamics: Modulo-9 Arithmetic Sieve Regularization, Proca Electrodynamics, and Emergent Logarithmic Gravity

A special solution of the Maxwell-Navier-Stokes equation, using the analogy of a compressible fluid. Here I introduce the term "Quantum Aether".

A Dual-Phase Potential–Vortical Decomposition for Hydrodynamics: Explicit Real/Imaginary Splits, Electrodynamic Isomorphisms, Poynting Energy Fluxes, and Global Regularity

In this version I decided to include a proof and also some important remarks. The Potential Field and the Vortical Field are two parts of the same physics. Also, on this new version I include the analogies and comparisons (Isomorphism) with the electromagnetic theory.