Juan F . González - Profile on Academia.edu (original) (raw)

Papers by Juan F . González

Some solved problems in String Theory, from my Master Course 2010 in Theoretical Physics.

Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understo... more Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understood as effective field theories only valid up to some energy (length) scale, where new physics is expected to appear. We review the framework of extended relativity (ER) in Clifford spaces (C-spaces), summarizing some of its concepts, methods and results. We also discuss likely links of this approach with other relativities (OR), beyond GR and SM theories, recent ideas from emergent spacetime (ES) and quantum entanglement (QE), in search for quantum gravity (QG) and unification (U). Finally, we explore and expose the need to go even beyond ER, and the challenges it poses, from both experimental and theoretical sides.

The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical pe... more The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical perspective. It emphasizes the Lagrangian and variational or functional formalism, using basic tools of differential and integral analysis. Finally, some examples and applications in Theoretical Physics are indicated, and the intuitive meaning of both theorems is explained. Finally, possible generalizations and extensions of the theorem are suggested, as well as a mention of the formalism of jets and differential forms that makes it possible to generalize these theorems with a coordinate-free language.

Notas personales de Mecánica Clásica, con algunos añadidos.

Some constants of physmatics.

Temperatura de Planck: θ P = 1,416784(16)•10 32 K. Escala de temperatura más alta posible, para l... more Temperatura de Planck: θ P = 1,416784(16)•10 32 K. Escala de temperatura más alta posible, para la que se hipotetiza se disuelve el propio espaciotiempo en los constituyentes que posea.

We present a teaching unit on the International Year of Astronomy 2009, Atomic Physics and the as... more We present a teaching unit on the International Year of Astronomy 2009, Atomic Physics and the astronomical rôle of the chemical elements in the Periodic Table.

Mis principios de pensamiento lógico y emocional.

We review the Schwinger's mechanism and explain its theoretical and experimental importance. We e... more We review the Schwinger's mechanism and explain its theoretical and experimental importance. We expose shortly the current status of the experimental searches and revisit the main formulae, concepts and the right interpretation of this non-perturbative effect in 4d QED. The generalizations to lower and higher dimensional QED formulae are also provided and discussed in terms of polylogarithms.

Cosmovisiones en el siglo XXI.

Ejercicios y notas de un curso de Física de Altas Energías (de partículas) y Cosmología.

Notes on the History of Mathematics, in Spanish!

Summary of the ultimate unification, behind Physics: Physmatics and Physchematics.

Invited contribution to the Spanish newsletter La Gaceta de la RSEM, section El diablo de los núm... more Invited contribution to the Spanish newsletter La Gaceta de la RSEM, section El diablo de los números. Covered topics: links and connections between Number Theory and Physics.

Of the few people who deserve thanks, some are particularly prominent. First of all, I thank to t... more Of the few people who deserve thanks, some are particularly prominent. First of all, I thank to the Master POP coordinators Juan Terrón Cuadrado and Carlos Pena Ruano. Life is complex for everyone. Everywhere, everytime and specially in a global crisis time. Likely, they do not know how much important they have been for the support they have provided me in the last two years. The warmest and deepest gratitude they will always deserve from my part. I am not forgetting their comprenhension, since there are no words for their kindness and disposition to attend me when I went to their offices. I am also in debt with my Master Thesis Advisor, Michele Maltoni. He introduced me to the neutrino and gave me a highly non-trivial and important topic for this thesis. He also offered me with this work the opportunity of learning lot of things and physics I did not know before. I remark that neutrinos are a very competitive area (like other branches of High Energy Physics) and so, it is hard and needs full time dedication that my present life offers me only occasionally. I would remark his passion and expertise, his spirit in spite of the weakly interacting particle that the author of the present work is. If we agree that knowledge measures how much stuff we ignore, I can safely say I ignore less about neutrinos right now. And it is due to him too. Finally, I would like to add a special thanks to my closest friends, those who know who they are. They are that kind of friends who understand how much I love physics, mathematics and science, those who know why I am doing right now this type of work and study, instead of going out like a common daily life person. I dedicate this thesis to all these people, those people who really appreciate and love me and those who have supported me even when I was hidden, invisible and missing, out of this world, though just as I have ever been.

Some aspects of neutrino phenomenology. My M.Sc. talk.

We propose an explanation of OPERA result in terms of a known general relativistic GPS physics, a... more We propose an explanation of OPERA result in terms of a known general relativistic GPS physics, a term called the eccentricity correction. We review the origin and interpretation of such a term in General Relativity. Further comments and suggestions in order to test our proposal are given. We claim that we have not exhausted yet every possible explanation of OPERA data, and then, before considering new physics models that are in tension with other observations, we should try to understand what current theories say. New physics is unlikely the right response, but we do not exclude it if new experiments and data analyses are done and the anomaly persists. However, we should firstly agree if every possible explanation with well established theories are in tension with data and if it has been precisely done. The ultimate fate of this proposal will be elucidated via a forthcoming MINOS experiment and a remake of the CERN to Gran Sasso experiment using an alternative syncronization method...

Concentración química, ejercicio aplicado con alcohol.

My master thesis talk on neutrino phenomenology

My master thesis on theoretical physics, in particular, on neutrino phenomenology.

Some solved problems in String Theory, from my Master Course 2010 in Theoretical Physics.

Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understo... more Despite their success, General Relativity (GR) and the Standard Model (SM) are currently understood as effective field theories only valid up to some energy (length) scale, where new physics is expected to appear. We review the framework of extended relativity (ER) in Clifford spaces (C-spaces), summarizing some of its concepts, methods and results. We also discuss likely links of this approach with other relativities (OR), beyond GR and SM theories, recent ideas from emergent spacetime (ES) and quantum entanglement (QE), in search for quantum gravity (QG) and unification (U). Finally, we explore and expose the need to go even beyond ER, and the challenges it poses, from both experimental and theoretical sides.

The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical pe... more The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical perspective. It emphasizes the Lagrangian and variational or functional formalism, using basic tools of differential and integral analysis. Finally, some examples and applications in Theoretical Physics are indicated, and the intuitive meaning of both theorems is explained. Finally, possible generalizations and extensions of the theorem are suggested, as well as a mention of the formalism of jets and differential forms that makes it possible to generalize these theorems with a coordinate-free language.

Notas personales de Mecánica Clásica, con algunos añadidos.

Some constants of physmatics.

Temperatura de Planck: θ P = 1,416784(16)•10 32 K. Escala de temperatura más alta posible, para l... more Temperatura de Planck: θ P = 1,416784(16)•10 32 K. Escala de temperatura más alta posible, para la que se hipotetiza se disuelve el propio espaciotiempo en los constituyentes que posea.

We present a teaching unit on the International Year of Astronomy 2009, Atomic Physics and the as... more We present a teaching unit on the International Year of Astronomy 2009, Atomic Physics and the astronomical rôle of the chemical elements in the Periodic Table.

Mis principios de pensamiento lógico y emocional.

We review the Schwinger's mechanism and explain its theoretical and experimental importance. We e... more We review the Schwinger's mechanism and explain its theoretical and experimental importance. We expose shortly the current status of the experimental searches and revisit the main formulae, concepts and the right interpretation of this non-perturbative effect in 4d QED. The generalizations to lower and higher dimensional QED formulae are also provided and discussed in terms of polylogarithms.

Cosmovisiones en el siglo XXI.

Ejercicios y notas de un curso de Física de Altas Energías (de partículas) y Cosmología.

Notes on the History of Mathematics, in Spanish!

Summary of the ultimate unification, behind Physics: Physmatics and Physchematics.

Invited contribution to the Spanish newsletter La Gaceta de la RSEM, section El diablo de los núm... more Invited contribution to the Spanish newsletter La Gaceta de la RSEM, section El diablo de los números. Covered topics: links and connections between Number Theory and Physics.

Of the few people who deserve thanks, some are particularly prominent. First of all, I thank to t... more Of the few people who deserve thanks, some are particularly prominent. First of all, I thank to the Master POP coordinators Juan Terrón Cuadrado and Carlos Pena Ruano. Life is complex for everyone. Everywhere, everytime and specially in a global crisis time. Likely, they do not know how much important they have been for the support they have provided me in the last two years. The warmest and deepest gratitude they will always deserve from my part. I am not forgetting their comprenhension, since there are no words for their kindness and disposition to attend me when I went to their offices. I am also in debt with my Master Thesis Advisor, Michele Maltoni. He introduced me to the neutrino and gave me a highly non-trivial and important topic for this thesis. He also offered me with this work the opportunity of learning lot of things and physics I did not know before. I remark that neutrinos are a very competitive area (like other branches of High Energy Physics) and so, it is hard and needs full time dedication that my present life offers me only occasionally. I would remark his passion and expertise, his spirit in spite of the weakly interacting particle that the author of the present work is. If we agree that knowledge measures how much stuff we ignore, I can safely say I ignore less about neutrinos right now. And it is due to him too. Finally, I would like to add a special thanks to my closest friends, those who know who they are. They are that kind of friends who understand how much I love physics, mathematics and science, those who know why I am doing right now this type of work and study, instead of going out like a common daily life person. I dedicate this thesis to all these people, those people who really appreciate and love me and those who have supported me even when I was hidden, invisible and missing, out of this world, though just as I have ever been.

Some aspects of neutrino phenomenology. My M.Sc. talk.

We propose an explanation of OPERA result in terms of a known general relativistic GPS physics, a... more We propose an explanation of OPERA result in terms of a known general relativistic GPS physics, a term called the eccentricity correction. We review the origin and interpretation of such a term in General Relativity. Further comments and suggestions in order to test our proposal are given. We claim that we have not exhausted yet every possible explanation of OPERA data, and then, before considering new physics models that are in tension with other observations, we should try to understand what current theories say. New physics is unlikely the right response, but we do not exclude it if new experiments and data analyses are done and the anomaly persists. However, we should firstly agree if every possible explanation with well established theories are in tension with data and if it has been precisely done. The ultimate fate of this proposal will be elucidated via a forthcoming MINOS experiment and a remake of the CERN to Gran Sasso experiment using an alternative syncronization method...

Concentración química, ejercicio aplicado con alcohol.

My master thesis talk on neutrino phenomenology

My master thesis on theoretical physics, in particular, on neutrino phenomenology.

Breve introducción a la Mecánica Cuántica y la Computación cuántica.

Teaching Physics with Physmatics, English version with some Spanish/English bilingual addenda.

XXXI Encuentro Ibérico de Enseñanza y Divulgación de la Física. Murcia, 11-13, Julio 2022. Bienal... more XXXI Encuentro Ibérico de Enseñanza y Divulgación de la Física. Murcia, 11-13, Julio 2022. Bienal de la RSEF, 2022.

Introduction To C-space Relativity.

Charla sobre el producto vectorial (ESO/Bachillerato).

Charla de la Tabla Periódica.

SETI: what and how?, 2016

Part(V) of and old talk for a Master course subject. Topic: methods and ideas for SETI.

Cosmic numbers and Physmatics: bilingual talk.

Mujeres en Ciencia (Física, Química y Matemáticas), 2020

Charla de mujeres en la Física y Química, dada el 11F en un IES.

Extragalactic astrophysics and cosmology: the neutrino window and beyond Extragalactic astrophysi... more Extragalactic astrophysics and cosmology: the neutrino window and beyond Extragalactic astrophysics and cosmology: the neutrino window and beyond Juan F. González. Máster de Astronomía y Astrofísica. 2015-16 VIU Juan F. González. Máster de Astronomía y Astrofísica. 2015-16 VIU ("Brevísima" introducción a la Astronomía de neutrinos y astropartículas) ("Brevísima" introducción a la Astronomía de neutrinos y astropartículas)

Buscando la unidad y fundamento universal, Jenófanes de Colofón afirmó que la unidad de todas las... more Buscando la unidad y fundamento universal, Jenófanes de Colofón afirmó que la unidad de todas las cosas se basaba en el agua y la tierra. Funda la escuela de Elea. Critica la sociedad y la religión. Su relativización de las creencias fue un primer paso en el avance del pensamiento racional.

Figura: Ouroboros, la serpiente cósmica que encierra las escalas del Universo. Algunas preguntas ... more Figura: Ouroboros, la serpiente cósmica que encierra las escalas del Universo. Algunas preguntas sin respuesta actualmente.

Personal talk given at a local Science Club

IARD 2016 talk about Extended Relativity and beyond.

From TAE, a short unpublished work about Large Extra Dimensions and tests at the LHC with CMS. Wi... more From TAE, a short unpublished work about Large Extra Dimensions and tests at the LHC with CMS. With Daniel Fernández Moreno and Alejandro Barranco.

Introducción a la dualidad electrognética para principiantes.

A short introduction to duality in (3+1)d via Maxwell equations for undergraduates and advanced g... more A short introduction to duality in (3+1)d via Maxwell equations for undergraduates and advanced graduated is given by these class notes. We demonstrate that fixed the duality mixing angle, we can write always the Maxwell equations in the electric world, and magnetic charges can be hidden and unobservable. The Faraday's law is theoretically derived from the existence of magnetic charges and currents in theoretically dual Maxwell equations. We review the appearance of more general magnetic monopoles in GUT theories, supersymmetry, and gravitational theories. We also introduce the existence of particles with both magnetic and electric charges, called dyons, and the Dirac quantization condition and some generalizations in string theory and M-theory. Finally, we briefly discuss about the experimental searches of magnetic monopoles and dyons, and their cosmological and particle physics relevance. Even when these results are not new, we provide bits of previously unconnected results and formulae more scattered in the literature, from a bottom-up approach useful for students and researchers.

Gravitational waves: yummy pieces, 2023

We provide an elementary introduction to black holes, gravitational waves and what lies behind them.

Complementos de Matemáticas y Física

Texto libre sobre la desaparición de la penúltima revista física de Ciencia en España, Investigac... more Texto libre sobre la desaparición de la penúltima revista física de Ciencia en España, Investigación y Ciencia. Opiniones personales mías.

The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical pe... more The theorems stated and proven by Emmy Noether are reviewed from a historical and mathematical perspective. It emphasizes the Lagrangian and variational or functional formalism, using basic tools of differential and integral analysis. Finally, some examples and applications in Theoretical Physics are indicated, and the intuitive meaning of both theorems is explained. Finally, possible generalizations and extensions of the theorem are suggested, as well as a mention of the formalism of jets and differential forms that makes it possible to generalize these theorems with a coordinate-free language.

An informative vision of the cosmic background of microwaves (photons), neutrinos and gravitons i... more An informative vision of the cosmic background of microwaves (photons), neutrinos and gravitons is presented, as well as a speculation about other possible cosmic backgrounds. Its relevance in Physics, Astrophysics and Cosmology is indicated from a simplified intuitive physical and mathematical point of view.

Se revisan los teoremas enunciados y demostrados por Emmy Noether desde una perspectiva histórica... more Se revisan los teoremas enunciados y demostrados por Emmy Noether desde una perspectiva histórica y matemática. Se hace énfasis en el formalismo lagrangiano y variacional o funcional, usando herramientas básicas del análisis diferencial e integral. Se indican finalmente algunos ejemplos y aplicaciones en la Física Teórica, y se explica el significado intuitivo de ambos teoremas. Finalmente, se sugieren las posibles generalizaciones y extensiones del teorema, así como una mención al formalismo de jets y de formas diferenciales que hace posible la generalización de estos teoremas con un lenguaje libre de coordenadas.

Los fondos cósmicos del Universo, 2022

Se presenta una visión divulgativa del fondo cósmico de microondas(fotones), neutrinos y de gravi... more Se presenta una visión divulgativa del fondo cósmico de microondas(fotones), neutrinos y de gravitones, así como una especulación sobre otros fondos cósmicos posibles. Se indica su relevancia en Física, Astrofísica y Cosmología desde un punto de vista físico y matemático intuitivo simplificado.

A programm of research and a Ph.D project are proposed. The fundamental issue beyond every freque... more A programm of research and a Ph.D project are proposed. The fundamental issue beyond every frequently asked question in physics is presented. The programm is based on take into account the different proposals and trials and putting them together in a global view. These previous theories are very briefly classified and explained. Finally, I describe my research programm according to these thoughts. Undone. Unpublished.

The fundamental issues beyond every frequently asked question in physics are presented. A truly u... more The fundamental issues beyond every frequently asked question in physics are presented. A truly unified field theory should be built based taking into account the different proposals and trials, putting them together in a global view. These previous theories are very briefly classified and explained. Finally, I describe how a unified field theory should be found according to these thoughts.

Resumen del tema de El átomo y modelos atómicos para nivel ESO(introducción a Bachillerato)

Se resume el cálculo de la energía total electrostática (campo y potencial) para una esfera unifo... more Se resume el cálculo de la energía total electrostática (campo y potencial) para una esfera uniformente cargada y una corteza esférica hueca, también en el caso gravitacional por semejanza. Se comenta el límite de infinitas dimensiones y que el concepto de densidad de energía es ambiguo o mal definido, en contraste al de energía total eléctrostática (gravitacional).

Un resumen moderno de la Tabla Periódica, desde la Física Nuclear y la Física Cuántica, hasta el ... more Un resumen moderno de la Tabla Periódica, desde la Física Nuclear y la Física Cuántica, hasta el estado actual, circa 2022, y más allá. Extensiones de la Tabla Periódica, el Modelo Estándard y el Modelo Cosmológico Estándar son también comentados.

Documento de cálculo de anulación del: 1) Campo eléctrico y potencial de 2 cargas puntuales de ig... more Documento de cálculo de anulación del:

1. Campo eléctrico y potencial de 2 cargas puntuales de igual o de diferente signo.
2. Campo gravitacional y potencial de 2 masas puntuales.
3. Campo magnético de dos corrientes muy largas paralelas de igual o de diferente signo.

We review the Schwinger's mechanism and explain its theoretical and experimental importance. We e... more We review the Schwinger's mechanism and explain its theoretical and experimental importance. We expose shortly the current status of the experimental searches and revisit the main formulae, concepts and the right interpretation of this non-perturbative effect in 4d QED. The generalizations to lower and higher dimensional QED formulae are also provided and discussed in terms of polylogarithms.

Física y Química: lo que hay que saber en la ESO y Bachillerato

Complementos breves sobra partículas subatómicas y modelos atómicos.

Ejercicios de formulación orgánica seleccionados.

Conceptos de Física General, preuniversidad y grado (principiantes).

A summary of preuniversitary physics and graduate basic general physics

String Theory exercises from my Master Course in Theoretical Physics, 2010.

Un día entras a una clase de astronomía o de Física, y tu profesor te habla de la galaxia de Andr... more Un día entras a una clase de astronomía o de Física, y tu profesor te habla de la galaxia de Andrómeda. Entonces, te encuentras la siguiente pregunta en la pizarra: "¿Cuál es la velocidad radial de la galaxia M31 con respecto a nuestra galaxia?" Ya habías aprendido que la velocidad radial significa la velocidad en línea recta hacia o desde algo, por lo que el desafío es descubrir qué tan rápido se está moviendo M31, también conocida como la galaxia de Andrómeda, hacia o desde nuestra galaxia natal, la Vía Láctea. Como motivación extra, una vez que todos estén en clase, su profesor dice que la primera persona que resuelva esta pregunta usando experimentos y datos astronómicos (en lugar de buscar la respuesta en Internet o en un libro) quedará exenta de los exámenes por el resto del año. Su profesor le dice que los recursos que puede utilizar incluyen el equipo de introducción a la Astronomía de la Universidad (por ejemplo, un telescopio óptico), los apuntes de clase, así como datos astronómicos disponibles impresos y en línea. Utilice su comprensión de las leyes de la física para seleccionar un experimento que le ayudará a encontrar la respuesta.

Black Holes and Cygnus X-1

Gravitational field assignment.

Acerca de ciertas teorías topológicas.

About certain topological theories.

Homeword about a star orbiting the center of the Milky Way.

Assignment on Hubble's law and the Doppler effect.

Homework on the Higgs boson, GeV, the atomic mass unit and the iodine atom.

Assignment about exoplanets and detection methods, with examples.

Homework about neutrinos, beta decay and radioactivity.

Homework on starsails and the Starshot project.

Homework about the first gravitational wave detection (version 2).

Assignment for students of physics about the first gravitational wave. Educational resource.

Transparencias de mis apuntes de Formulación Orgánica. Editados.

Se analiza el exosistema K2-239. Guía de ejemplo útil para trabajos de ESO y Bachillerato (preuni... more Se analiza el exosistema K2-239. Guía de ejemplo útil para trabajos de ESO y Bachillerato (preuniversitario o universitario).

Entrevista sobre el cambio climático.

Formulario de Química, 2ºBachillerato.

The present book discusses, among other things, various quantization phenomena found in Astrophys... more The present book discusses, among other things, various quantization phenomena found in Astrophysics and some related issues including Brownian Motion. With recent discoveries of exoplanets in our galaxy and beyond, this Astrophysics quantization issue has attracted numerous discussions in the past few years. Most chapters in this book come from published papers in various peer-reviewed journals, and they cover different methods to describe quantization, including Weyl geometry, Supersymmetry, generalized Schrödinger, and Cartan torsion method. In some chapters Navier-Stokes equations are also discussed, because it is likely that this theory will remain relevant in Astrophysics and Cosmology While much of the arguments presented in this book are theoretical, nonetheless we recommend further observation in order to verify or refute the propositions described herein. It is of our hope that this volume could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. The present book is also intended for young physicist and math fellows who perhaps will find the arguments described here are at least worth pondering.