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CRC Press eBooks

Quantum Mechanics

Richard R. Hamming

Published Oct 28, 1997• 0 citations
Publisher

Abstract

Most physicists currently believe they have the basic description of the universe [though they currently admit 90% to 99% of the universe is in the form of “dark matter” of which they know nothing except it has gravitational attraction]. You should realize in all of science there are only descriptions of how things happen and nothing about why they happen. Newton gave us the formula for how gravity worked, and he made no hypotheses as to what gravity really was, nor through what medium it worked, let alone why it worked. Indeed, he did not believe in “action at a distance”.

DOI
10.1201/9781482283198-30

Related papers

A Survivor’s Guide to Quantum Physics

Jean Louis Van Belle

As a pointer, and a service to other amateur physicists, I thought it would be useful to sum up the main pitfalls and discoveries I stumbled upon while working my way through Feynman’s Lectures. I call it a Survivor’s Guide to Quantum Physics because – at times – it did feel like going through a jungle, or wading through deep water, or climbing a mountain for which there is no map. Indeed, while there is a tendency to present quantum physics as a coherent set of principles and theory, it is not. At best, it is a toolbox with some novel mathematical techniques, approaches and models. At worst, it tries to present itself as an alternative to classical physics, which it is not. Quantum physics is, in essence, a combination of Maxwell’s equations and the Planck-Einstein relation. That is it. Nothing more. Nothing less. In the QED sector, at least. The one and only quantum is Planck’s quantum of (physical) action, and its physical dimension – a force times a distance times a period (cycle time) – is, unfortunately, not always well understood by those who are supposed to understand it – which is why there is a lot of nonsense around. In short, we hope this short paper might help you to avoid the mistakes I made, and that is to waste time on things you should not waste time on: stuff that is not useful, or plain wrong even. And then I will also try to highlight the little shortcuts or visualizations that may help you to get a much more intuitive grasp of things.

•Oct 1, 2020•0 citations

The Quantum as Backwards Time, and How This Permits a First-Ever Working Algebraic Quantum Gravity

Jonathan Deutsch

ABSTRACT THE QUANTUM AS BACKWARDS TIME, AND HOW THIS PERMITS A FIRST-EVER WORKING ALGEBRAIC QUANTUM GRAVITY By Jonathan Deutsch Backwards time is inferred to exist from the superluminal implications of the universe’s proven non-locality. It exists as well in the standard quantum-mechanical formalism as an “advanced solution” to the Schrodinger wave equation. Regrettably, backwards time is ignored by most physicists, students, and by the general public. Very, very recently, however, careful experiments performed in Europe have confirmed the existence of backwards time in certain quantum situations. But nature makes absolutely no distinction at all between the quantum and the classical realms! Therefore, it won’t be long before backwards time is experimentally confirmed for you and I. We begin by creating and then using three original postulates: 1)The deBroglie wavelength (in centimeters) associated with the proton is really equal to –1. 2)The mass of the proton (in grams) is really equal to +1. 3)The time (In seconds) it takes light to travel the deBroglie wavelength associated with the proton is really equal to i, the square root of –1. With these three postulates, we demonstrate that the quantum, h, could really be a unit of backwards time. The inscrutability of quantum mechanics would then be seen as entirely due to the inscrutability of backwards time. We then combine Newton’s equation for universal gravity with the three postulates to create the first algebraic equation for quantum gravity that works for planets, quanta and everything in-between. The new gravity equation contains four elements: 1)The tiny quantum, h 2)The minute deBroglie wavelength associated with the proton 3)The miniscule time it takes light to travel that distance 4)A variable - - a coefficient for h - - that’s actually composite “quantum Newton”! We then demonstrate that this new equation magically reproduces, exactly, Newton’s classical gravity results! We begin to realize that the quantum, h, lies hidden in EVERY classical equation - - gravity, electromagnetism, etc. Therefore, classical physics becomes fully quantized too, uniting for the first time the very large - - classical physics, including gravity - - with the very small - - quantum physics - - into one essentially indivisible whole. We conclude by seeing that spacetime is the universe’s prime mover. Though invisible, it is physically real and powerful enough to create all the matter and all the gravity in the entire universe. What’s thought of as the geometric backdrop for matter is really the creator of it as well. Matter affects (warps) spacetime causatively in the forwards time-direction in Einstein’s General Relativity. And spacetime affects (creates) matter in the backwards time-direction equally significantly. Thus, a completely new window to understanding matter and gravity is opened up to us. But the outstanding feature of all this is backwards time - - a healing backwards time. Does the omnipresent existence of backwards time hold out any hope that we can get younger as we age? We strongly believe that such is the case, both quantumly and at the human, macro level. Older and younger simultaneously IS very quantum-like, after all. Could they somehow be EQUIVALENT? Again, we strongly believe that the answer is in the affirmative, and is mathematically provable! I encourage readers to respond in the Disqus comment section on the Abstract page. Or contact me personally at spqrwin@outlook.com. I will reply to all. My next article, to be published in March or April, intends to remove quantum contradictions by proving that supposed opposites are really identical. KEYWORDS Advanced solution: a backwards-time solution Backwards time: time running in reverse, from present to past; future to present; or future to past. This can be continuously, or discontinuously - - i.e., JUMPING to a much earlier time. c: the speed of light Classical physics: the science and mathematics of relatively large entities - - e.g., apples, people and planets. It also includes electromagnetism (See Entry.) Coefficient: the number (amount) of something, e.g., for 5 quanta (5h), the number “5”. A coefficient needn’t be a whole number, but it is, or should be, a positive number. deBroglie wavelength: the wavelength associated with every particle, according to Prince Louis deBroglie, famous 20th-century theoretical quantum physicist. Whether or not this deBroglie wavelength is physically real or not is a matter of some dispute, but the consensus leans toward the negative. Electromagnetism: the classical science of visible light and of invisible rays such as X-rays, infrared rays and ultraviolet rays. Electromagnetism has a quantum counterpart. General Relativity: Einstein’s theory of gravity (See the Entry for Gravity.) Its two essential ideas are: 1)Gravity is acceleration, not a force. 2)Gravity is matter warping (curving) spacetime, rather than “spooky action at a distance” - - one piece of matter affecting another without touching it. Gravity: for Newton, the attractive force between any two pieces of matter. For Einstein, it’s the warping (curving) of spacetime, caused by the presence of matter. h: the quantum of action, also known as Planck’s constant. It is absolutely central to all of quantum physics. Newton’s equation for universal gravity: the product of the two masses involved, divided by the square of the distance between them, multiplied by the strength of gravity. Non-locality: the proven fact that our world is supported by an invisible reality which links all points in space, making extremely large distances seem “on top of each other” - - i.e., very small. This means that SOME form of communication faster than light-speed exists, implying that backwards time exists for our whole universe. Non-locality does not diminish with distance. Postulate: an assumption, at least initially unproven. Our theory contains just four - - all eventually proven true. Quantized: measured in quanta - - i.e., in units of h (See Entry for h.) - - measured discontinuously, in little “chunks” or “packets”. Quantum gravity: the as-yet unaccomplished union of Einstein’s theory of gravity - - General Relativity - - and quantum mechanics. We firmly believe that our theory takes a huge first step in this direction. Quantum mechanics: that area of quantum physics which deals with the motion of extremely small subatomic particles. Quantum physics: the science and mathematics of very small subatomic particles - - e.g., protons, electrons, neutrons and neutrinos - - and their antiparticles. Schrodinger’s wave equation: the quantum mechanics equation that many physicists consider to be the only physical reality in the universe. Some physicists even believe that THIS is not physically real either. Superluminal: faster than light-speed. Unitless: a “pure” number - - e.g., 20.5 - - as opposed to 20.5 CENTIMETERS, in units Universal G: the strength of gravity - - a universal constant Variable: an entity with two or more possible values, as opposed to a constant which has one value. Variables are heavily used in algebra.

•Feb 1, 2018•0 citations

A philosopher looks at quantum mechanics

Hilary Putnam

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It has become ever more clear over the past 70 years that reality is best described by a theory that no one fully understands and which cannot be applied to most everyday phenomena. Quantum theory has been subjected to many stringent tests and all of its predictions, however strange, have always been borne out. Originally developed to account for why atoms do not collapse and why they radiate and absorb energy in discrete amounts (quanta), it has now gone far beyond these rather simple beginnings. It is essentially a mathematical theory, so trying to describe it in words is analogous to transforming a picture into a poem. Inaccuracies, distortions and over-simplifications inevitably creep in. Nevertheless, one can convey the essence of the picture, and that is what is attempted here. Some grasp of what the material world is really like, and of the unfamiliar ways in which it can behave, is probably necessary to reaching an understanding of awareness and is certainly needed to comprehend the experimental evidence set out in Chapter 5.

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Behaviorism has taught people a lot, and has helped move psychology towards the status of a science, but that science, when it finally arrives, will not be thoroughly behavioristic. The Classical Theory of Probability had the odd difficulty that it functioned properly only when nothing was known about the way the system to which it was applied actually worked. Albert Einstein rejected the popular view that quantum mechanics (QM) was the final word in physical theory and believed that it would eventually be replaced with a more fundamental, deterministic theory. He denied that there was any fundamental randomness in the universe and believed that the time at which any individual atom emits radiation is really determined in advance and that there would be some future theory, which he did not specify, that would allow people to predict when this would happen, even though the quantum theory did not.

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Journal of Physics Conference Series•Oct 1, 2024•0 citations
Most physicists currently believe they have the basic description of the universe [though they currently admit 90% to 99% of the universe is in the form of “dark matter” of which they know nothing except it has gravitational attraction]. You should realize in all of science there are only descriptions of how things happen and nothing about why they happen. Newton gave us the formula for how gravity worked, and he made no hypotheses as to what gravity really was, nor through what medium it worked, let alone why it worked. Indeed, he did not believe in “action at a distance”.
As a pointer, and a service to other amateur physicists, I thought it would be useful to sum up the main pitfalls and discoveries I stumbled upon while working my way through Feynman’s Lectures. I call it a Survivor’s Guide to Quantum Physics because – at times – it did feel like going through a jungle, or wading through deep water, or climbing a mountain for which there is no map. Indeed, while there is a tendency to present quantum physics as a coherent set of principles and theory, it is not. At best, it is a toolbox with some novel mathematical techniques, approaches and models. At worst, it tries to present itself as an alternative to classical physics, which it is not. Quantum physics is, in essence, a combination of Maxwell’s equations and the Planck-Einstein relation. That is it. Nothing more. Nothing less. In the QED sector, at least. The one and only quantum is Planck’s quantum of (physical) action, and its physical dimension – a force times a distance times a period (cycle time) – is, unfortunately, not always well understood by those who are supposed to understand it – which is why there is a lot of nonsense around. In short, we hope this short paper might help you to avoid the mistakes I made, and that is to waste time on things you should not waste time on: stuff that is not useful, or plain wrong even. And then I will also try to highlight the little shortcuts or visualizations that may help you to get a much more intuitive grasp of things.
ABSTRACT THE QUANTUM AS BACKWARDS TIME, AND HOW THIS PERMITS A FIRST-EVER WORKING ALGEBRAIC QUANTUM GRAVITY By Jonathan Deutsch Backwards time is inferred to exist from the superluminal implications of the universe’s proven non-locality. It exists as well in the standard quantum-mechanical formalism as an “advanced solution” to the Schrodinger wave equation. Regrettably, backwards time is ignored by most physicists, students, and by the general public. Very, very recently, however, careful experiments performed in Europe have confirmed the existence of backwards time in certain quantum situations. But nature makes absolutely no distinction at all between the quantum and the classical realms! Therefore, it won’t be long before backwards time is experimentally confirmed for you and I. We begin by creating and then using three original postulates: 1)The deBroglie wavelength (in centimeters) associated with the proton is really equal to –1. 2)The mass of the proton (in grams) is really equal to +1. 3)The time (In seconds) it takes light to travel the deBroglie wavelength associated with the proton is really equal to i, the square root of –1. With these three postulates, we demonstrate that the quantum, h, could really be a unit of backwards time. The inscrutability of quantum mechanics would then be seen as entirely due to the inscrutability of backwards time. We then combine Newton’s equation for universal gravity with the three postulates to create the first algebraic equation for quantum gravity that works for planets, quanta and everything in-between. The new gravity equation contains four elements: 1)The tiny quantum, h 2)The minute deBroglie wavelength associated with the proton 3)The miniscule time it takes light to travel that distance 4)A variable - - a coefficient for h - - that’s actually composite “quantum Newton”! We then demonstrate that this new equation magically reproduces, exactly, Newton’s classical gravity results! We begin to realize that the quantum, h, lies hidden in EVERY classical equation - - gravity, electromagnetism, etc. Therefore, classical physics becomes fully quantized too, uniting for the first time the very large - - classical physics, including gravity - - with the very small - - quantum physics - - into one essentially indivisible whole. We conclude by seeing that spacetime is the universe’s prime mover. Though invisible, it is physically real and powerful enough to create all the matter and all the gravity in the entire universe. What’s thought of as the geometric backdrop for matter is really the creator of it as well. Matter affects (warps) spacetime causatively in the forwards time-direction in Einstein’s General Relativity. And spacetime affects (creates) matter in the backwards time-direction equally significantly. Thus, a completely new window to understanding matter and gravity is opened up to us. But the outstanding feature of all this is backwards time - - a healing backwards time. Does the omnipresent existence of backwards time hold out any hope that we can get younger as we age? We strongly believe that such is the case, both quantumly and at the human, macro level. Older and younger simultaneously IS very quantum-like, after all. Could they somehow be EQUIVALENT? Again, we strongly believe that the answer is in the affirmative, and is mathematically provable! I encourage readers to respond in the Disqus comment section on the Abstract page. Or contact me personally at spqrwin@outlook.com. I will reply to all. My next article, to be published in March or April, intends to remove quantum contradictions by proving that supposed opposites are really identical. KEYWORDS Advanced solution: a backwards-time solution Backwards time: time running in reverse, from present to past; future to present; or future to past. This can be continuously, or discontinuously - - i.e., JUMPING to a much earlier time. c: the speed of light Classical physics: the science and mathematics of relatively large entities - - e.g., apples, people and planets. It also includes electromagnetism (See Entry.) Coefficient: the number (amount) of something, e.g., for 5 quanta (5h), the number “5”. A coefficient needn’t be a whole number, but it is, or should be, a positive number. deBroglie wavelength: the wavelength associated with every particle, according to Prince Louis deBroglie, famous 20th-century theoretical quantum physicist. Whether or not this deBroglie wavelength is physically real or not is a matter of some dispute, but the consensus leans toward the negative. Electromagnetism: the classical science of visible light and of invisible rays such as X-rays, infrared rays and ultraviolet rays. Electromagnetism has a quantum counterpart. General Relativity: Einstein’s theory of gravity (See the Entry for Gravity.) Its two essential ideas are: 1)Gravity is acceleration, not a force. 2)Gravity is matter warping (curving) spacetime, rather than “spooky action at a distance” - - one piece of matter affecting another without touching it. Gravity: for Newton, the attractive force between any two pieces of matter. For Einstein, it’s the warping (curving) of spacetime, caused by the presence of matter. h: the quantum of action, also known as Planck’s constant. It is absolutely central to all of quantum physics. Newton’s equation for universal gravity: the product of the two masses involved, divided by the square of the distance between them, multiplied by the strength of gravity. Non-locality: the proven fact that our world is supported by an invisible reality which links all points in space, making extremely large distances seem “on top of each other” - - i.e., very small. This means that SOME form of communication faster than light-speed exists, implying that backwards time exists for our whole universe. Non-locality does not diminish with distance. Postulate: an assumption, at least initially unproven. Our theory contains just four - - all eventually proven true. Quantized: measured in quanta - - i.e., in units of h (See Entry for h.) - - measured discontinuously, in little “chunks” or “packets”. Quantum gravity: the as-yet unaccomplished union of Einstein’s theory of gravity - - General Relativity - - and quantum mechanics. We firmly believe that our theory takes a huge first step in this direction. Quantum mechanics: that area of quantum physics which deals with the motion of extremely small subatomic particles. Quantum physics: the science and mathematics of very small subatomic particles - - e.g., protons, electrons, neutrons and neutrinos - - and their antiparticles. Schrodinger’s wave equation: the quantum mechanics equation that many physicists consider to be the only physical reality in the universe. Some physicists even believe that THIS is not physically real either. Superluminal: faster than light-speed. Unitless: a “pure” number - - e.g., 20.5 - - as opposed to 20.5 CENTIMETERS, in units Universal G: the strength of gravity - - a universal constant Variable: an entity with two or more possible values, as opposed to a constant which has one value. Variables are heavily used in algebra.
Those defile the purity of mathematical and philosophical truthy who confound real quantities with their relations and sensible measures. —ISAAC NEWTON, Principia Before we say anything about quantum mechanics, let us take a quick look at the Newtonian (or ‘classical’) view of the physical universe. According to that view, nature consists of an enormous number of particles. When Newtonian physics is combined with the theory of the electromagnetic field, it becomes convenient to think of these particles as dimensionless (even if there is a kind of conceptual strain involved in trying to think of something as having a mass but not any size ), and as possessing electrical properties – negative charge, or positive charge, or neutrality. This leads to the well-known ‘solar system’ view of the atom – with the electrons whirling around the nucleons (neutrons and protons) just as the planets whirl around the sun. Out of atoms are built molecules; out of molecules, macroscopic objects, scaling from dust motes to whole planets and stars. These latter also fall into larger groupings – solar systems and galaxies – but these larger structures differ from the ones previously mentioned in being held together exclusively by gravitational forces. At every level, however, one has trajectories (ultimately that means the possibility of continuously tracing the movements of the elementary particles) and one has causality (ultimately that means the possibility of extrapolating from the history of the universe up to a given time to its whole sequence of future states).
It has become ever more clear over the past 70 years that reality is best described by a theory that no one fully understands and which cannot be applied to most everyday phenomena. Quantum theory has been subjected to many stringent tests and all of its predictions, however strange, have always been borne out. Originally developed to account for why atoms do not collapse and why they radiate and absorb energy in discrete amounts (quanta), it has now gone far beyond these rather simple beginnings. It is essentially a mathematical theory, so trying to describe it in words is analogous to transforming a picture into a poem. Inaccuracies, distortions and over-simplifications inevitably creep in. Nevertheless, one can convey the essence of the picture, and that is what is attempted here. Some grasp of what the material world is really like, and of the unfamiliar ways in which it can behave, is probably necessary to reaching an understanding of awareness and is certainly needed to comprehend the experimental evidence set out in Chapter 5.
Behaviorism has taught people a lot, and has helped move psychology towards the status of a science, but that science, when it finally arrives, will not be thoroughly behavioristic. The Classical Theory of Probability had the odd difficulty that it functioned properly only when nothing was known about the way the system to which it was applied actually worked. Albert Einstein rejected the popular view that quantum mechanics (QM) was the final word in physical theory and believed that it would eventually be replaced with a more fundamental, deterministic theory. He denied that there was any fundamental randomness in the universe and believed that the time at which any individual atom emits radiation is really determined in advance and that there would be some future theory, which he did not specify, that would allow people to predict when this would happen, even though the quantum theory did not.
Abstract Isaac Newton’s theory of gravity seems to postulate action at a distance. Two distant massive bodies act on one another gravitationally instantaneously without a causal mechanism to mediate the action. This paper will argue that a strategy found in the Principia that allows Newton’s theory to be explanatory without providing a causal explanation can be extended to the quantum case. However, while causal action at a distance can be avoided, the explanatory cost of avoiding any form of nonlocality is higher in the quantum case than in the case of Newton’s theory of universal gravitation.