Chapter 1. Probability
1.1: Quantum Framework (QF)
Quantum field theory was invented in the 1930s and matured in the 1940s and 1950s. It is the pinnacle of human intellectual achievement in the 20th century. It has passed the scrutiny of the most arduous experiments. It is able to explain the beginning of the biggest objects, the universe, and the properties of the smallest particles: the atomic nucleus, pions, and quarks. It is obvious that it should be able to explain objects of all sizes in the universe. So how can we do it?
We need to extract some general features of quantum field theory so that it can be applied easily to all subjects in our universe. We propose that there are seven features of quantum field theory that are universal. We call them our quantum framework (QF). Here, we specifically apply quantum framework (QF) to classical mechanics. Then, they become the seven important aspects of classical mechanics. To be even more specific, we apply these seven QF to the case of small oscillations in classical mechanics. The seven features of QF are:
(1) Probability
(2) Duality
(3) Three Ways of Influencing an Object
(4) Four Macroscopic Variables
(5) Five Fundamental Variables
(6) Six Symmetries
(7) Seven Action S
By going through the simple example of small oscillations, we intend to illustrate the most fundamental and the most profound aspects of modern physics. We also use three simple examples to illustrate the practical situations of small oscillations apparent to everyone:
(1) The Experiment of a Pendulum
(2) The Grandfather Clock
(3) A Swing in a Playground for Kids
1.1: Quantum Framework (QF)
Quantum field theory was invented in the 1930s and matured in the 1940s and 1950s. It is the pinnacle of human intellectual achievement in the 20th century. It has passed the scrutiny of the most arduous experiments. It is able to explain the beginning of the biggest objects, the universe, and the properties of the smallest particles: the atomic nucleus, pions, and quarks. It is obvious that it should be able to explain objects of all sizes in the universe. So how can we do it?
We need to extract some general features of quantum field theory so that it can be applied easily to all subjects in our universe. We propose that there are seven features of quantum field theory that are universal. We call them our quantum framework (QF). Here, we specifically apply quantum framework (QF) to classical mechanics. Then, they become the seven important aspects of classical mechanics. To be even more specific, we apply these seven QF to the case of small oscillations in classical mechanics. The seven features of QF are:
(1) Probability
(2) Duality
(3) Three Ways of Influencing an Object
(4) Four Macroscopic Variables
(5) Five Fundamental Variables
(6) Six Symmetries
(7) Seven Action S
By going through the simple example of small oscillations, we intend to illustrate the most fundamental and the most profound aspects of modern physics. We also use three simple examples to illustrate the practical situations of small oscillations apparent to everyone:
(1) The Experiment of a Pendulum
(2) The Grandfather Clock
(3) A Swing in a Playground for Kids
