The world energy challenge and global warming are two fundamental problems of current interest. What has not been recognized, however, is that the two problems are causally related. We present here the formal theory o...The world energy challenge and global warming are two fundamental problems of current interest. What has not been recognized, however, is that the two problems are causally related. We present here the formal theory of fusion, the well known but yet unrealized solution of the energy challenge, and show that its occurrence on earth is responsible for global warming. Consequently, like all the known energy resources, the solution of both problems is merely a technological problem, since the science is now known.展开更多
In relativistic quantum theories interactions are mediated by force particles called elementary vector bosons: Quantum Electrodynamics (QED) predicts the photon to be the carrier of the electromagnetic force;Quantum F...In relativistic quantum theories interactions are mediated by force particles called elementary vector bosons: Quantum Electrodynamics (QED) predicts the photon to be the carrier of the electromagnetic force;Quantum Flavordynamics (QFD), also called electroweak theory, predicts the Ws and Z0 as the carriers of the weak force;and Quantum Chromodynamics (QCD) predicts gluons and mesons as the carriers of the strong force. All these particles are also called exchange or virtual particles. According to these theories the virtual particle appears spontaneously near one particle and disappears near the other. Even though it has consistently been claimed that experimental detection of these particles is a confirmation of each of these theories, we are, however, of the view that one cannot detect a particle that appears and disappears within a “black box”. In this paper we discuss the geometrical theory of weak and strong nuclear interactions.展开更多
Wave-particle duality is a familiar concept in the theories of the fundamental processes. We have, for example, electromagnetic waves with the photon as the corresponding particle, gravitational waves with the gravito...Wave-particle duality is a familiar concept in the theories of the fundamental processes. We have, for example, electromagnetic waves with the photon as the corresponding particle, gravitational waves with the graviton as the corresponding particle, and Dirac waves with the electron as the corresponding particle. All these theories are stand-alone theories having nothing in common. The outstanding problem is a unified theory of particles and fields. In this paper, we discuss a unified geometrical theory of fields and particles.展开更多
The mass of the neutrino has received considerable attention since the 1930s. In spite of heavy investment of resources, human and material, the problem has remained unsolved. As an application of the geometrical theo...The mass of the neutrino has received considerable attention since the 1930s. In spite of heavy investment of resources, human and material, the problem has remained unsolved. As an application of the geometrical theory of science, we give in this paper a formal theoretical determination of the mass of the neutrino.展开更多
Classical mechanics and quantum mechanics are the two cornerstones of science. As is well known, classical mechanics, the theory that describes the macrophysical world, has grown and flowered both in experimentation a...Classical mechanics and quantum mechanics are the two cornerstones of science. As is well known, classical mechanics, the theory that describes the macrophysical world, has grown and flowered both in experimentation and theorization. The same is not true of quantum mechanics, the theory that describes the microphysical world. While experimentation has shown giant strides, theorization has been essentially static, having not moved appreciably beyond the great achievements of the 1920s. The reason is not difficult to fathom: while theoretical progress in classical mechanics has been intellect-driven, that in quantum mechanics, on the other hand, has been machine-driven! In this paper we describe both classical and quantum systems in an absolute and a common language (geometry). Indeed, we construct the whole of science on the basis of just three numbers, namely, 1, 2, and 3.展开更多
Quantum geometrodynamics (QGD) has established the following fundamental facts: First, every elementary particle is the physical realization of a certain irreducible 4-quantum operator of spin (rank) 0, 1/2 or 1. A ph...Quantum geometrodynamics (QGD) has established the following fundamental facts: First, every elementary particle is the physical realization of a certain irreducible 4-quantum operator of spin (rank) 0, 1/2 or 1. A photon (boson) is the physical realization of an irreducible 4-quantum operator of spin zero. A fermion is the physical realization of an irreducible 4-quantum operator of spin 1/2. A graviton (boson) is the physical realization of an irreducible 3-quantum operator of spin zero, and the Ws and mesons (bosons) are the physical realizations of irreducible 3-quantum operator of rank one. Second, the particles of every composite fermion system (nuclei, atoms, and molecules) reside in a certain 4-quantum space which is partitioned into an infinite set of subspaces of dimension 4n (n = 1, 2, 3, L,?∞;n is the index of the subspace and n is called principal quantum number by physicists, and period by chemists) each of which is reducible to a set of 2-level cells [1]. With these two fundamental facts, the complexities associated with atomic, nuclear, and molecular many-body problems have evaporated. As an application of the reducibility scenario we discuss in this paper the explicit construction of the periodic table of the chemical elements. In particular we show that each chemical element is characterized by a state ket |En;l, m1;s, ms〉where l is orbital angular momentum, s = 1/2, En = E1 + khv (k = 1, 2, 3, L, ∞, E1 is the Schr?dinger first energy level, and v is the Lamb-Retherford frequency).展开更多
Two of Maxwell’s equations of electrodynamics are: and , where E, B and are electric field, magnetic field, and electric charge density respectively. A fundamental question that the physics community is perplexed wit...Two of Maxwell’s equations of electrodynamics are: and , where E, B and are electric field, magnetic field, and electric charge density respectively. A fundamental question that the physics community is perplexed with since the 19C is this: Why the second of these equations is not where is the magnetic charge density? Put in a slightly different way, it is an empirical fact of nature that magnets have two poles, namely, north and south poles. Why is it that objects with a single north or south pole do not appear to exist? No one has ever observed an isolated excess of one kind of magnetic charge—an isolated north pole, for example! Further, there does not exist any theoretical explanation why magnetic charges do not exist. The only conclusion that can be drawn from the more than one hundred and fifty years of fruitless search is that ordinary matter consists of electric charges (electric monopoles) and not magnetic charges (magnetic monopoles)! In this paper, we disprove this conclusion by showing that magnetic monopoles exist even though we cannot isolate them.展开更多
Electricity and magnetism are common features of our world. The subject of electromagnetic fields in empty space populated only by point charges or smooth charge distributions in space is well understood. In that case...Electricity and magnetism are common features of our world. The subject of electromagnetic fields in empty space populated only by point charges or smooth charge distributions in space is well understood. In that case, one deals with the classical theory of electrodynamics developed by J.C. Maxwell in 1864. Electromagnetism in the presence of matter is, however, a completely different problem. Microscopic electric behavior of homogeneous substances can in general be characterized fairly simply and completely. The theory that enables us to do this is fairly well understood. Sadly the situation is quite different for magnetism in matter. The study there is phenomenological. That is, the substance is characterized by a number of parameters and the experimentally determined relations among them. We are not aware of any successful microscopic theory of magnetism in matter. The microscopic theory of magnetic substances, a topic of fundamental and technological importance, is the subject of this paper.展开更多
文摘The world energy challenge and global warming are two fundamental problems of current interest. What has not been recognized, however, is that the two problems are causally related. We present here the formal theory of fusion, the well known but yet unrealized solution of the energy challenge, and show that its occurrence on earth is responsible for global warming. Consequently, like all the known energy resources, the solution of both problems is merely a technological problem, since the science is now known.
文摘In relativistic quantum theories interactions are mediated by force particles called elementary vector bosons: Quantum Electrodynamics (QED) predicts the photon to be the carrier of the electromagnetic force;Quantum Flavordynamics (QFD), also called electroweak theory, predicts the Ws and Z0 as the carriers of the weak force;and Quantum Chromodynamics (QCD) predicts gluons and mesons as the carriers of the strong force. All these particles are also called exchange or virtual particles. According to these theories the virtual particle appears spontaneously near one particle and disappears near the other. Even though it has consistently been claimed that experimental detection of these particles is a confirmation of each of these theories, we are, however, of the view that one cannot detect a particle that appears and disappears within a “black box”. In this paper we discuss the geometrical theory of weak and strong nuclear interactions.
文摘Wave-particle duality is a familiar concept in the theories of the fundamental processes. We have, for example, electromagnetic waves with the photon as the corresponding particle, gravitational waves with the graviton as the corresponding particle, and Dirac waves with the electron as the corresponding particle. All these theories are stand-alone theories having nothing in common. The outstanding problem is a unified theory of particles and fields. In this paper, we discuss a unified geometrical theory of fields and particles.
文摘The mass of the neutrino has received considerable attention since the 1930s. In spite of heavy investment of resources, human and material, the problem has remained unsolved. As an application of the geometrical theory of science, we give in this paper a formal theoretical determination of the mass of the neutrino.
文摘Classical mechanics and quantum mechanics are the two cornerstones of science. As is well known, classical mechanics, the theory that describes the macrophysical world, has grown and flowered both in experimentation and theorization. The same is not true of quantum mechanics, the theory that describes the microphysical world. While experimentation has shown giant strides, theorization has been essentially static, having not moved appreciably beyond the great achievements of the 1920s. The reason is not difficult to fathom: while theoretical progress in classical mechanics has been intellect-driven, that in quantum mechanics, on the other hand, has been machine-driven! In this paper we describe both classical and quantum systems in an absolute and a common language (geometry). Indeed, we construct the whole of science on the basis of just three numbers, namely, 1, 2, and 3.
文摘Quantum geometrodynamics (QGD) has established the following fundamental facts: First, every elementary particle is the physical realization of a certain irreducible 4-quantum operator of spin (rank) 0, 1/2 or 1. A photon (boson) is the physical realization of an irreducible 4-quantum operator of spin zero. A fermion is the physical realization of an irreducible 4-quantum operator of spin 1/2. A graviton (boson) is the physical realization of an irreducible 3-quantum operator of spin zero, and the Ws and mesons (bosons) are the physical realizations of irreducible 3-quantum operator of rank one. Second, the particles of every composite fermion system (nuclei, atoms, and molecules) reside in a certain 4-quantum space which is partitioned into an infinite set of subspaces of dimension 4n (n = 1, 2, 3, L,?∞;n is the index of the subspace and n is called principal quantum number by physicists, and period by chemists) each of which is reducible to a set of 2-level cells [1]. With these two fundamental facts, the complexities associated with atomic, nuclear, and molecular many-body problems have evaporated. As an application of the reducibility scenario we discuss in this paper the explicit construction of the periodic table of the chemical elements. In particular we show that each chemical element is characterized by a state ket |En;l, m1;s, ms〉where l is orbital angular momentum, s = 1/2, En = E1 + khv (k = 1, 2, 3, L, ∞, E1 is the Schr?dinger first energy level, and v is the Lamb-Retherford frequency).
文摘Two of Maxwell’s equations of electrodynamics are: and , where E, B and are electric field, magnetic field, and electric charge density respectively. A fundamental question that the physics community is perplexed with since the 19C is this: Why the second of these equations is not where is the magnetic charge density? Put in a slightly different way, it is an empirical fact of nature that magnets have two poles, namely, north and south poles. Why is it that objects with a single north or south pole do not appear to exist? No one has ever observed an isolated excess of one kind of magnetic charge—an isolated north pole, for example! Further, there does not exist any theoretical explanation why magnetic charges do not exist. The only conclusion that can be drawn from the more than one hundred and fifty years of fruitless search is that ordinary matter consists of electric charges (electric monopoles) and not magnetic charges (magnetic monopoles)! In this paper, we disprove this conclusion by showing that magnetic monopoles exist even though we cannot isolate them.
文摘Electricity and magnetism are common features of our world. The subject of electromagnetic fields in empty space populated only by point charges or smooth charge distributions in space is well understood. In that case, one deals with the classical theory of electrodynamics developed by J.C. Maxwell in 1864. Electromagnetism in the presence of matter is, however, a completely different problem. Microscopic electric behavior of homogeneous substances can in general be characterized fairly simply and completely. The theory that enables us to do this is fairly well understood. Sadly the situation is quite different for magnetism in matter. The study there is phenomenological. That is, the substance is characterized by a number of parameters and the experimentally determined relations among them. We are not aware of any successful microscopic theory of magnetism in matter. The microscopic theory of magnetic substances, a topic of fundamental and technological importance, is the subject of this paper.
