This paper explores the concept of osmotic momentum within quantum mechanics, offering a novel theoretical framework that integrates stochastic mechanics with generalized electrodynamics. By revisiting Edward Nelson’s interpretation of the Schrodinger equation, we propose that osmotic momentum arises from interactions with gauge wavesan extension to classical field components. Additionally, we outline a method for experimental detection of these waves using a “quantum lens”, a device designed to convert gauge waves into detectable photons. This work bridges gaps between quantum mechanics, gravity, and dark energy, suggesting that gauge waves could unify these phenomena under a common theoretical framework. Experimental validation of this model could redefine our understanding of quantum and relativistic systems. Keywords: Quantum mechanics; Quantum lens; Gravity; Gauge waves.
This paper explores the concept of osmotic momentum within quantum mechanics, offering a novel theoretical framework that integrates stochastic mechanics with generalized electrodynamics. By revisiting Edward Nelson’s interpretation of the Schrodinger equation, we propose that osmotic momentum arises from interactions with gauge wavesan extension to classical field components. Additionally, we outline a method for experimental detection of these waves using a “quantum lens”, a device designed to convert gauge waves into detectable photons. This work bridges gaps between quantum mechanics, gravity, and dark energy, suggesting that gauge waves could unify these phenomena under a common theoretical framework. Experimental validation of this model could redefine our understanding of quantum and relativistic systems. Keywords: Quantum mechanics; Quantum lens; Gravity; Gauge waves.
The explanation of quantum mechanics has never been satisfactory. The successful application of quantum mechanics is generally attributed to the mathematical system of quantum mechanics. The application research of quantum encryption communication and quantum computers using quantum entanglement is very difficult. The binary opposition between quantum and classical has hindered human scientific thinking. The widespread quest to quantize gravity mirrors humanity's enduring drive to unify quantum and macroscopic physical frameworks. This research initiates its inquiry by integrating quantum mechanics with classical mechanics, yielding novel analytical perspectives, and introduces the Schrödinger-Tu equation—a wave function that incorporates gravitational potential energy and is capable of describing macroscopic objects. Validating the practical viability of merging quantum and classical approaches, several computational cases involving atoms and molecules yield successful outcomes. Additionally, this study derives a wavemechanical formulation of classical mechanical laws, furnishing direct empirical evidence that quantum mechanics and classical mechanics are not mutually exclusive but rather compatible and complementary. Further substantiation of their compatibility encompasses the following key points: The mass term m in the Schrödinger equation (SE) can be scaled to sufficiently large values to characterize macroscopic entities; The steady-state SE (Tψ+Vψ=Eψ) inherently integrates the wave function ψ with the classical energy conservation relation T+V=E; Potential energy functions within the SE can be derived from macroscopic force fields; Newton's second law F=ma and the SE are mutually derivable, establishing a fundamental theoretical linkage; Electron diffraction experiments concurrently demonstrate wave-particle duality, a phenomenon that bridges both mechanical frameworks. This paradigm shift—recasting the relationship between quantum mechanics and classical mechanics from one of incompatibility to compatibility—represents a pivotal theoretical advancement, with the potential to catalyze the development of a generalized wave mechanics.
A consistent theory including gravitational effects in quantum mechanics has not been found. Although many different approaches have been proposed for theory of quantum gravity, several authors have suggested that gravity may be fundamentally classical. As there is no experimental evidence for a fundamentally quantum vs. fundamentally classical theory of gravity, it is hoped that investigating the consequences of semiclassical gravity, one may propose an experiment to distinguish between the quantum or classical nature of gravity. As opto- and electromechanical devices allow quantum limited measurement and control over massive, mechanical degrees of freedom, they are ideal systems to test violations of standard quantum mechanics arising from gravitational effects. After a brief introduction to the background theory and literature review, we begin by introducing a semiclassical model of gravity based on quantum measurement and control. We show under which conditions the theory behaves like a collapse model, and how a Newtonian potential is recovered in the multi particle case.We then go on to analyse our semiclassical model in two scenarios: firstly in a cosmological setting, and secondly by considering quantum clocks on the surface of the earth. In the cosmological description, we show that a violation of energy conservation, resulting from our model, can be reinterpreted as a dark energy fluid in the spacetime, suggesting that perhaps local violations of conservations of energy may be resolved in a cosmological framework. Secondly, we derive a minimum, gravitational dephasing rate for quantum clocks under the semiclassical model, which unsurprisingly, is is well below the resolution of current state of the art clocks. The next chapters diverge from analysing the gravitational model, and instead focus on novel methods of manipulating and measuring micromechanical devices, that may be used to experimentally probe the results of the semi-classical theory. Firstly we show that a sequence of coherently controlled pulses in an optomechanical system can be used to directly probe the momentum of an oscillator - opening up the possibility for direct detection of momentum diffusion, which is a consequence of the semiclassical gravity model. Secondly, we introduce an electro-mechanical device, and sequence of control operations, that may be understood as an interferometer for the wave function of a mechanical oscillator coupled to a qubit. We show how the resulting interference pattern can distinguish between unitary evolution, thermalisation/decoherence, and a purely classical description of the mechanical oscillator. We also show how the qubit-oscillator interaction can be used generate arbitrary wave functions of the mechanical oscillator, using only classical qubit driving.
The relativistic Schrodinger equation is reinterpreted as describing a classical particle that mutually-interacts with other objects via electromagnetic-like gravity waves. The accompanying derivation equates the usual quantum mechanical energy and momentum operators to the effects of negative or attractive energy. Lorentz-like transformation equations are obtained that yield the uncertainty principle such that quantum uncertainty is ascribed to the disregard of a magnetic-like component of a gravity wave. Finally, quantum-level Maxwell-like equations that involve the above gravity waves are derived.
The widespread quest to quantize gravity mirrors humanity’s enduring drive to unify quantum and macroscopic physical frameworks. This research initiates its inquiry by integrating quantum mechanics with classical mechanics, yielding novel analytical perspectives, and introduces the Schrödinger-Tu equation—a wave function that incorporates gravitational potential energy and is capable of describing macroscopic objects. Validating the practical viability of merging quantum and classical approaches, several computational cases involving atoms and molecules yield successful outcomes. Additionally, this study derives a wave-mechanical formulation of classical mechanical laws, furnishing direct empirical evidence that quantum mechanics and classical mechanics are not mutually exclusive but rather compatible and complementary. Further substantiation of their compatibility encompasses the following. key points: • The mass term m in the Schrödinger equation (SE) can be scaled to sufficiently large values to characterize macroscopic entities • The steady-state SE (Tψ +Vψ=Eψ) inherently integrates the wave function ψ with the classical energy conservation relation T+V=E; • Potential energy functions within the SE can be derived from macroscopic force fields; • Newton’s second law F=ma and the SE are mutually derivable, establishing a fundamental theoretical linkage; 5.Electron diffraction experiments concurrently demonstrate wave-particle duality, a phenomenon that bridges both mechanical frameworks.This paradigm shift—recasting the relationship between quantum and classical mechanics from one of incompatibility to ompatibility—represents a pivotal theoretical advancement, with the potential to catalyze the development of a generalized wave echanics.
Following the spirit of de Broglie and Einstein, we think the concepts of matter and radiation can be unified. We know a particle propagates like a wave; its motion is described by certain wave equations. At this point, it is not clear what the wave function represents. Besides the statistical meaning suggested by the Copenhagen interpretation, does the wave function represent any physical motion? For photon, we know it is an electro-magnetic wave. But what about particles with rest mass, such as an electron? To investigate the physical nature of matter wave, we propose that: (1) Like the photon, a particle is an excitation wave of a real physical field. (2) Different types of particles are different excitation modes of the same field. Based on this thinking, we show that the concept of quantum mechanics can be a natural extension of classical mechanics. By critically analyzing the transition from classical physics to quantum physics, we found a new physical meaning for the quantum wave function. This work suggests that various quantum wave equations, including the Klein-Gordon equation, the Dirac equation and the Schrodinger equation, could have a common base relating to the Basic Wave Equation of the matter wave. This work has some interesting implications. It suggests a possible way to explain the origin of visible matters and dark matters in our universe.
Abstract In this paper, we address a gap in the conventional interpretations of quantum mechanics, specifically the requirement for a more comprehensive description of particle and light phenomena. We introduce an alternative interpretation underpinned by the traditional mathematical framework of quantum mechanics, thus ensuring compatibility with established principles. Central to our proposition is the concept that particles and light fundamentally manifest as a ubiquitous wave field, each point of which is imbued with unique energy characteristics. This perspective provides a consistent resolution to the long-standing quantum measurement problem and offers a fresh lens through which to understand the intricacies of phenomena such as the double-slit experiment. Our proposed interpretational approach represents a crucial first step towards more comprehensive research, aiming to provide analytical proof and design experiments that verify this wave field interpretation.