All physical phenomena run in nature with the continuous transformation of the kinetic field into the potential field, and vise versa, i.e., they have the wave character. For this reason, the structure of expressions representing these fields (both real physical space and physical time space) must be potential-kinetic. Contemporary physics satisfactory describes the kinetic field, but the complete description of the potential subfield is absent. In this paper we partially fill in this gap, beginning from the description of harmonic oscillations (of a material point) and the physical time wave field-space.
All physical phenomena run in nature with the continuous transformation of the kinetic field into the potential field, and vise versa, i.e., they have the wave character. For this reason, the structure of expressions representing these fields (both real physical space and physical time space) must be potential-kinetic. Contemporary physics satisfactory describes the kinetic field, but the complete description of the potential subfield is absent. In this paper we partially fill in this gap, beginning from the description of harmonic oscillations (of a material point) and the physical time wave field-space.
The theory of relativity represents fields of force as structural properties of space-time, and a field of force is the arena in which the presence of energy is detectable. Energy manifests itself in the physical world as radiation, and Einstein established its fundamental identity with mass.1 This has since been demonstrated experimentally by the annihilation of elementary particles and their conversion into y-rays and the reverse process of conversion of y-rays into pairs of electrons and positrons ('pair production') as observed by Blackett and Occhialini. It is hardly surprising, therefore, that both matter and energy should appear to us in the same phenomenal forms, as particles and as waves. The universal interconnectedness of things is here again exemplified. Space-time structure, in the form of curvature of differing degrees, appears as field, and field, by what Teilhard would call 'complexification', organizes itself into material particles. The contemporary theory of matter, notwithstanding disputes and controversies still current about the concepts involved, unquestionably represents the atom as a complicated organization of fields of force describable without misrepresentation as an energy complex. This being so, an unbroken continuity between space-time, field, energy and matter is established, as a series of forms or manifestations of the real, each a more complex elaboration of its predecessor in the series. The progression is effected, to borrow again from Teilhard, by a process of self-enfoldment (enroulement sur soi-meme) of the prior form: curvature of space gives field, the structure or complexity of the field (as we are about to find) takes the form of waves (or radiation), further complication of these, by superposition, produces wave-packets or particles, and the intricate organization of particles into a single energy system constitutes the atom.
In a period when a limited domain of physical phenomena is exciting wide fervent interest and commanding intensive study, and continues for years to monopolize the attention of many brilliant theorists, sometimes it is the fortune of an ingenious mind to express or interpret or picture the already-discovered laws in a new way which makes so greatly favourable an impression, that in a moment it sweeps its rivals from the field. The new theory may not lead to more or better agreements with experience than did its predecessors; it need not make predictions which they were incapable of making; its mathematical processes may be identical with theirs, the old symbols reappearing with new names in the old equations. Contrariwise it may be born well endowed with these advantages which normally decide the contest between old theories and new, yet owe its victory not to them at all. It triumphs because it seems natural or sensible or reasonable or elegant or beautiful-words said of a theory which fulfils some deep-seated demand or evades some deep-rooted prejudice in the minds of its judges. Later its vogue may pass, not through the disclosure of any intrinsic defect, but because the physicists of the rising generation do not share the prejudices and the predilections of those who first applauded it. The kinetic theory of gases was welcomed by a generation which wished to believe in atoms; the electromagnetic theory by people prejudiced against the notion of action at a distance; the quantum-theory has always had to do battle against those who yearn for continuity in their images of Nature, and the theory to which these pages are devoted has captivated the world of physics in a few brief months because it seems to promise a fulfilment of that long-baffled and insuppressible desire.
Abstract This discussion introduces the student to the reality, in quantum technology, that analysis of any problem necessarily begins with the Hamiltonian representing the system. The quantum Hamiltonian represents the total energy of the system, the sum of kinetic energy plus potential energy, written in canonical coordinates and conjugate momenta, and where these variables become time independent quantum operators. The nature of the potential energy for the nano-vibrator, following Hooke’s law, serves to localize the particle. The relevance of the nano-vibrator Hamiltonian—sometimes called the harmonic oscillator Hamiltonian—is perhaps one of the most important Hamiltonians in quantum systems. Not only can it be extended to cover things like phonons in solids, vibrations in molecules, and the behavior of bosons, but it is also the basis for leading to the concept of a photon, the quantum radiation field, and the quantum vacuum. This chapter provides the basic introduction for vibration of a particle or a nano-rod and looks at the wave-like behavior that emerges from the solution to the time independent Schrödinger equation. When we include the time evolution, we can observe dynamical behavior and begin to examine the meaning of quantum measurement.
This paper examines the ontological misinterpretation of the geometric point as the basis of mathematical and physical descriptions. Classical geometry defines the point as static, propertyless, and without extension, thereby obscuring the processual nature of rotation, coupling, and motion. Using everyday observations—the intrinsic rotation of a compass, the dynamic coupling of a dog or vehicle to a rotating center - it is shown that circles, curvatures, and paths are not sets of points, but rather traces of processes arising from intrinsic rotation and coupling. Point ontology proves inadequate to -explain dynamic phenomena such as swing-by effects, curvature, or the twin paradox, since a point cannot possess state, energy, or intrinsic motion. Quantum mechanics is identified as the only theory that has overcome this ontological flaw: it replaces the point with the state cloud, which can be understood as a processual object in intrinsic rotation, thus providing a correct basis for describing dynamic reality. The traditional use of t as an object repeats the same error and is mathematically and ontologically untenable. The processual representation of the state cloud therefore replaces both the point and the object t and forms the only consistent basis for a dynamic description of physical reality. The paper shows that all quantum mechanical phenomena—electrons, photons, energy states, momenta— are modes of a single primordial oscillation. Frequency is not diversity, but rather the rate of mode change of the same oscillation. This does not replace quantum mechanics, but rather ontologically completes it: it describes not many independent processes, but the modulation of a single cause. At the same time, the ambivalent interpretation of the field potential as a curved network is resolved. Geometric networks, such as those stretched across spacetime and gravity in classical physics, are ontologically inadmissible because they replace processes with forms and presuppose a universal curvature that does not physically exist. The real network arises from the modulation of a primordial oscillation: electron, field potential, and center form a curved coupling structure that emerges from intrinsic rotation. Thus, the field potential is not geometrically constructed, but ontologically generated. The treatise provides a consistent process ontology that replaces geometric artifacts and reveals the dynamic structure of being. The paper demonstrates that all quantum mechanical phenomena—electrons, photons, energy states, momenta— are modes of a single fundamental oscillation. Frequency is not diversity, but rather the rate of mode change of that same oscillation. This does not replace quantum mechanics, but rather ontologically completes it: it describes not many processes, but the modulation of a single cause.