Once upon a time there was a pendulum 1st Edition by Gracia Arredondo 9788409121083 8409121085

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Product details:

ISBN 10: 8409121085

ISBN 13: 9788409121083

Author: Gracia Arredondo

This book presents the geometric structure of the Higgs field, the geometry that is beyond the standard model based on a modification of the structure that appears in Escher ́s Waterfall. The proposed structure is also a way to draw and visualize the since long time held idea that spacetime is quantized. It brings harmony between two colliding worlds in physics, general relativity and quantum mechanics. There is a geometric representation of the quarks, the leptons and the four types of gauge bosons, the weak isospin and the geometry and algebra of many interactions and decays. The values of the Weinberg angle, the Cabibbo angle and the parameters of the CKM matrix are also given by the structure, as well as the geometry of special relativity, the tensors of general relativity, the measurement problem, the uncertainty principle, the second law of thermodynamics, neutrino oscillation and the PMNS matrix. All the free parameters of the standard model find their precise values in the proposed structure. The fundamental constants -the gravitational constant, Boltzmann constant, Planck ́s constant and the vacuum permittivity- are related by the golden ratio. The second part is a description of the program that controls the perfectly symmetric distribution of the prime numbers among the natural numbers.
The third part connects the natural numbers and the primes with the structure described in the first part

Table of contents:

First part: Geometry beyond the standard model: Escher ́s Waterfall 

Part I: The Geometry of the Elementary Particles
Chapter 1: Introduction
Chapter 2: Matrix Representation
Chapter 3: Antimatter
Chapter 4: Weak Isospin
Chapter 5: Conservation of Angular Momentum
Chapter 6: Symmetry
Chapter 7: The Gauge Bosons
Chapter 8: Examples of Decays and Interactions
Chapter 9: The Weinberg Angle (θw)
Chapter 10: The Cabibbo Angle (θc)
Chapter 11: The CKM Matrix
Chapter 12: The Angles of the Three Generations

Part II: Geometry of Relativity and of Some Other Questions in Physics
Chapter 1: CPT. Duality of the Structure
Chapter 2: Intrinsic Parity
Chapter 3: The Arrow of Time
Chapter 4: Linking Basic Units. Velocity
Chapter 5: Frame Time and Proper Time in Different Inertial Frames
Chapter 6: The Relativity of Simultaneity
Chapter 7: Energy, Momentum and Mass
Chapter 8: The Mass of the Fermions
Chapter 9: Dark Matter and Dark Energy
Chapter 10: The Cosmological Constant
Chapter 11: The Flatness Problem
Chapter 12: Energy Levels and the Primes
Chapter 13: Lorentz Transformations
Chapter 14: Momenergy
Chapter 15: Parametric Equations
Chapter 16: Tidal Forces
Chapter 17: The Stress-Energy Tensor
Chapter 18: The Weyl Tensor
Chapter 19: Gravity and Entropy Gradients
Chapter 20: The Ricci Tensor
Chapter 21: Neighbouring Units: Gravity in Action
Chapter 22: What Happens Behind the Scenes
Chapter 23: The 8πG Factor. Spherical Objects
Chapter 24: Spherical Object Collapsing to Form a Black Hole
Chapter 25: Geometric Interpretation of the Uncertainty Principle
Chapter 26: Geometry of the Measurement Problem
Chapter 27: The Infrared Cut-off and the Ultraviolet Cut-off
Chapter 28: Temperature and the Boltzmann Constant
Chapter 29: The Second Law of Thermodynamics
Chapter 30: Neutrino Oscillation and the PMNS Matrix
Chapter 31: The Vacuum Expectation Value, the Coupling Constants, the Mass of the Top
Chapter 32: The Interactions and the Golden Ratio
Chapter 33: The Hidden Transactions within the Golden Ratio
Chapter 34: The Gate
Chapter 35: A Possible Geometric Representation of the Space Axes for Other Universes
Chapter 36: Range of the Interactions
Chapter 37: Table with the Main Values Obtained from the Structure
Chapter 38: The Naturalness Problem

Second Part: The Symmetry of the Prime Numbers
Chapter 1: The Program of the Primes
Chapter 2: The Twin Primes
Chapter 3: Chained Symmetries for the Even Numbers
Chapter 4: Program of the Odd Composite Numbers

Third Part: The Prime Numbers in the Structure
Chapter 1: The Natural Numbers and the Energy Levels. The Primes
Chapter 2: The Goldbach’s Conjecture and Particle Physics
Chapter 3: The Primes and the Riemann Curvature Tensor

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