The world appears smooth and continuous because we are not sensitive to the small scale microworld of the quanta
Einstein's Relativity Theory is at odds with quantum physics because Einstein's theory works at a macroscopic level, while quantum physics works at an atomic level, and things at the atomic level work differently from the macroscopic level.
The common way to divide physics into two parts where one is 'Modern Physics' has the other part as 'Classical Physics' (not 'Early Physics'). 'Early Physics' is not a widely-used expression though it might be considered the work of the ancient Greeks. 'Classical Physics' will be assumed hereon. Classical physics is the common (and often relatively common-sense) physics that we observe around us. It is the physics of televisions and refrigerators and rainbows and air planes. It explains the orbit of the Earth around the Sun and why the sky is blue and how engines and microwave cookers and bicycles and anti-lock brakes work. The fundamentals of electronics and semiconductor and computer technologies (but not the fine details) can be derived using classical physics. Much of the basic operation of lasers and the fibre-optics technologies (but again not the fine details) can also be explained by classical physics. Traditionally, physicists consider the main branches of classical physics to be mechanics (motion), electromagnetism (electricity and magnetism), optics (light, lenses, waves, propagation) and thermodynamics (heat, order and entropy). Note that in principle, optics could be included in the electromagnetism branch but it is generally understood to be important enough to be considered a separate one. Modern physics began to appear around 1900 when phenomena started to be observed that classical physics could describe, but only quite approximately. A notable year was 1905 when Albert Einstein published his paper on what we now call Special Relativity. Later he presented a generalisation of it, aptly enough called General Relativity. This was followed in the 1920s by even more astounding - and profoundly different - work by Schrödinger and Heisenberg that led to what we now call Quantum Physics. These - Quantum Physics and General Relativity - are considered the two main branches of modern physics. In a paragraph above classical physics was described as the common (and often relatively common-sense) physics. Modern physics, though, describes 'worlds' that are not at all common (and are often very counter intuitive) for us. General relativity typically starts to give results that are significantly different from classical physics (Newtonian mechanics) only when masses are many times that of our Sun or velocities are a significant part of the speed of light. Quantum physics - which is notoriously difficult to intuit - often only gives different results from classical physics when the spatial scales are tiny; that is when we are considering particles or systems the size of small molecules or atoms or smaller. In fact, through recent efforts it is possible to absorb all of classical physics into general relativity. It is also possible now to absorb all of classical physics into quantum physics. However the distinguishing parts of General Relativity and Quantum Physics continue to stand apart and seem difficult to absorb into a unified theory. String theories are some of the most promising recent efforts at the unification and some are candidates for a Theory of Everything (TOE) in physics. While the applications of modern physics are in some ways still in their infancy, General relativity has given us a much richer understanding of the Universe than classical physics gave us. Quantum physics has been important in the development and refinement of the electronics, computer and information technologies. Both are providing us with a greater understanding of the Universe, perhaps while reminding us, with their often counter-intuitive perspectives, that things in this world may not always be the way that they initially seem to be ... That 'truth' can be more wonderful and seem vastly more imaginative than fiction. DonB
Quantization of energy typically only becomes noticeable at very small scales, such as the atomic and subatomic level due to the principles of quantum mechanics. At larger scales, such as in everyday observations, the effects of quantization are averaged out over many particles and energies, making them appear continuous.
Scientists explain the phenomenon of particles popping in and out of existence through the concept of quantum fluctuations. In the quantum world, particles can briefly appear and disappear due to the inherent uncertainty and fluctuations in energy levels. This phenomenon is a fundamental aspect of quantum mechanics and is supported by experimental evidence.
Some quantum theories suggest that particles can briefly appear and disappear due to quantum fluctuations in the vacuum. This phenomenon is known as "quantum fluctuation" and has been supported by various experiments. However, it is important to note that these virtual particles cannot be directly observed and have a very short existence.
Yes, it does "appear" to be continuous, by the simple fact that it is continuous for all values of the input.
Einstein's Relativity Theory is at odds with quantum physics because Einstein's theory works at a macroscopic level, while quantum physics works at an atomic level, and things at the atomic level work differently from the macroscopic level.
The past continuous tense is: was/were appearing.
the study of the very small scale of particles, such as atoms and subatomic particles. Quantum mechanics deals with the fundamental behavior of these particles, including phenomena like superposition and entanglement, while quantum physics encompasses the broader study of quantum phenomena and their applications.
yes it is a continuous function.
The Tao of Physics was a book that came out in the mid-late 90's (not positive on a date off hand) that attempted to draw parallels between some of the discoveries in quantum physics and string theory and new-ageism/eastern philosophy (like Taoism). There are a few things in quantum which, at a superficial level DO appear at least semi-mystical or supernatural, but in the last few years, even the author has refuted his original premises.
In physics, the concept of creating something from nothing is not supported. In various theories, the creation of matter or energy typically involves pre-existing elements or processes. However, some theories in quantum physics suggest that particles can spontaneously appear and disappear in a vacuum due to fluctuations in energy levels.
nothing, they appear to contradict each other.
None is part of the other, but the two are closely related. Lots of practical applications of math appear, precisely, in physics.
It has been in continuous production since 1792
Continuous Break.
The common way to divide physics into two parts where one is 'Modern Physics' has the other part as 'Classical Physics' (not 'Early Physics'). 'Early Physics' is not a widely-used expression though it might be considered the work of the ancient Greeks. 'Classical Physics' will be assumed hereon. Classical physics is the common (and often relatively common-sense) physics that we observe around us. It is the physics of televisions and refrigerators and rainbows and air planes. It explains the orbit of the Earth around the Sun and why the sky is blue and how engines and microwave cookers and bicycles and anti-lock brakes work. The fundamentals of electronics and semiconductor and computer technologies (but not the fine details) can be derived using classical physics. Much of the basic operation of lasers and the fibre-optics technologies (but again not the fine details) can also be explained by classical physics. Traditionally, physicists consider the main branches of classical physics to be mechanics (motion), electromagnetism (electricity and magnetism), optics (light, lenses, waves, propagation) and thermodynamics (heat, order and entropy). Note that in principle, optics could be included in the electromagnetism branch but it is generally understood to be important enough to be considered a separate one. Modern physics began to appear around 1900 when phenomena started to be observed that classical physics could describe, but only quite approximately. A notable year was 1905 when Albert Einstein published his paper on what we now call Special Relativity. Later he presented a generalisation of it, aptly enough called General Relativity. This was followed in the 1920s by even more astounding - and profoundly different - work by Schrödinger and Heisenberg that led to what we now call Quantum Physics. These - Quantum Physics and General Relativity - are considered the two main branches of modern physics. In a paragraph above classical physics was described as the common (and often relatively common-sense) physics. Modern physics, though, describes 'worlds' that are not at all common (and are often very counter intuitive) for us. General relativity typically starts to give results that are significantly different from classical physics (Newtonian mechanics) only when masses are many times that of our Sun or velocities are a significant part of the speed of light. Quantum physics - which is notoriously difficult to intuit - often only gives different results from classical physics when the spatial scales are tiny; that is when we are considering particles or systems the size of small molecules or atoms or smaller. In fact, through recent efforts it is possible to absorb all of classical physics into general relativity. It is also possible now to absorb all of classical physics into quantum physics. However the distinguishing parts of General Relativity and Quantum Physics continue to stand apart and seem difficult to absorb into a unified theory. String theories are some of the most promising recent efforts at the unification and some are candidates for a Theory of Everything (TOE) in physics. While the applications of modern physics are in some ways still in their infancy, General relativity has given us a much richer understanding of the Universe than classical physics gave us. Quantum physics has been important in the development and refinement of the electronics, computer and information technologies. Both are providing us with a greater understanding of the Universe, perhaps while reminding us, with their often counter-intuitive perspectives, that things in this world may not always be the way that they initially seem to be ... That 'truth' can be more wonderful and seem vastly more imaginative than fiction. DonB