This paper proposes that quantum uncertainty arises from stochastic mass-energy interconversion at the subatomic level. Integrating Einstein's mass-energy equivalence and quantum mechanics, the hypothesis introduces fluctuating mass terms into mathematical frameworks like the Schrödinger equation, yielding novel implications for the Heisenberg Uncertainty Principle. The theory extends to quantum field theory, string theory, and cosmology, suggesting a dynamic mechanism for phenomena ranging from particle decay rates to black hole evaporation. By bridging quantum mechanics and general relativity through stochastic fluctuations, this framework offers testable predictions for high-energy physics, gravitational wave analysis, and cosmological observations, advancing the search for a unified Theory of Everything.
This paper proposes that quantum uncertainty arises from stochastic mass-energy interconversion at the subatomic level. Integrating Einstein's mass-energy equivalence and quantum mechanics, the hypothesis introduces fluctuating mass terms into mathematical frameworks like the Schrödinger equation, yielding novel implications for the Heisenberg Uncertainty Principle. The theory extends to quantum field theory, string theory, and cosmology, suggesting a dynamic mechanism for phenomena ranging from particle decay rates to black hole evaporation. By bridging quantum mechanics and general relativity through stochastic fluctuations, this framework offers testable predictions for high-energy physics, gravitational wave analysis, and cosmological observations, advancing the search for a unified Theory of Everything.
Wave-particle duality remains one of the most striking and conceptually unresolved features of quantum mechanics. Here I present a dynamical mechanism for wave-particle duality based on spontaneous stochastic mass-energy interconversion at subatomic scales. By promoting particle mass to a fluctuating quantity consistent with Einstein’s mass-energy equivalence, I derive a Schrödinger equation with an additional stochastic kinetic-phase term. Applied to the canonical double-slit experiment, the framework shows that quantum interference arises from coherent, path-dependent phase accumulation driven by mass-energy fluctuations, while particle-like localization emerges naturally at detection. The formalism yields closed-form expressions for interference visibility, predicts a momentum- and mass-dependent decoherence rate, admits a path-integral interpretation, and enables direct experimental bounds using neutron, electron, and atom interferometry. The results provide a physically grounded account of wave-particle duality without modifying the axioms of quantum mechanics.
Several theories of quantum gravity propose the existence of a minimal measurable length and maximum measurable momentum near the Planck scale. When integrated into the framework of quantum mechanics, such restrictions lead to the generalization of the Heisenberg uncertainty principle, which is commonly referred to as the generalized uncertainty principle (GUP). The GUP has been applied to a plethora of physical models in order to provide further insights on our understanding of the Universe, both in the macroscopic and the microscopic regime. Nevertheless, the corrections related to GUP are expected to be extremely small, which thus renders experimental verification a difficult task. Therefore, phenomenological approaches on a qualitative level are typically addressed with the aim of enhancing our possibility of detecting these tiny effects. Motivated by a recent work on a universal decoherence mechanism stemming from the standard formulation of GUP, we extend the ideas contained therein by considering a more general form of GUP which includes linear and quadratic momentum terms to examine its implications. To achieve such a picture, we equip the deformation parameter appearing in front of all momentum terms with a stochastic nature, so that the effective decoherence mechanism emerges by taking the average over fluctuations. We find that, despite the apparently small differences among the two generalizations of the Heisenberg uncertainty principle, the consequences at the level of the universal decoherence mechanism they entail is significant, as they predict decoherence times that are completely uncorrelated and distinct.
This paper proposes mass interaction principle (MIP) as: the particles will be subjected to the random frictionless quantum Brownian motion by the collision of space time particle (STP) prevalent in spacetime. The change in the amount of action of the particles during each collision is an integer multiple of the Planck constant h. The motion of particles under the action of STP is a quantum Markov process. Under this principle, we infer that the statistical inertial mass of a particle is a statistical property that characterizes the difficulty of particle diffusion in spacetime. Starting from this principle, this article has the following six aspects of work: First, we derive the mass-diffusion coefficient uncertainty and the quantized commutation, and derive the most basic coordinate-momentum uncertainty and time-energy uncertainty of quantum mechanics, and then clearly reveal the particle-wave duality, which are properties exhibited by particles collided by STP. Second, we created the three decompositions of particles velocity. The comprehensive property of three velocities deduced the equation of motion of the particle as Schrodinger equation, and made a novel interpretation of Heisenberg’s uncertainty principle and Feynman’s path integral expression. And reexamine the quantum measurement problem, so that the EPR paradox can be explained in a self-consistent manner. Third, we reinterpret the physical origin of quantum spins. Each spacetime random impact not only gives the particle of matter the action of a Planck constant , but also produces the quantum fluctuation properties of the material particles. Futhermore, the quantum spin properties of the material particles are also produced, which reveals the statistical quality of 1/2 spin particles and the coexistence relationship of their spins. The particle spin properties ultimately reflect the spacetime properties of STP and particles, which leads to an important result that any spin 1/2 elementary particles will be massive. Fourth, we derive the physical origin of the special relativity, and prove that the hypothesis of constant speed of light is actually the intrinsic property of spacetime. This naturally leads to the three basic inferences of the special theory of relativity, namely, “mass enhancement”, “time dilation” and “length contraction” effects. Fifth, we can perfectly explain the nature of photons based on the topological and dynamic properties of STP, thus naturally obtain the complete electromagnetic theory and all important properties of charge. Sixth, we naturally derive the gravitation from the interaction of the fundamental particles of microscopic matter, namely the massive fermion and STP. Furthermore, we can judge from the overall perspective of modern physics that the inertia mass of fermions must be equal to the gravitational mass. We have obtained the equivalent principle combined with Newton’s universal gravitation, from which we can derive all the important contents of general relativity. Both inertial mass and gravitational mass are no longer the basic physical quantities. The two are indeed equivalent, which come from the statistical mass of STP collisions. This paper shows that STP can interact with matter particles in space time. The particles of matter are affected by the impact of STP and change their motional state. The mass of a particle is a statistical property exhibited by STP collision. Under the MIP framework of interaction between STP and matter particles, the relativistic quantum electromagnetic and spin properties of particles are all self-consistent. The relativistic behavior and quantum behavior of matter particles with statistical mass are all derived from the collision of STP on matter particles. We have systematically solved all the basic problems of modern physics with MIP, which is the common origin of special theory of relativity, general theory of relativity, electromagnetic theory and quantum mechanics.
The present paper is concerned with the derivation of the Einstein's formula of equivalence of mass and energy, E = mc^2 , from the universal uncertainty relations. These relations are a generalization of the original uncertainty relations developed by Werner Heisenberg in 1927. Thus, this approach unifies two of the most important laws of physics as provides the proof of a) the quantum mechanical nature of the above formula, and, b) the correctness of the universal uncertainty relations that I found in 2012.
In this paper we suggest that through working with the Planck mass and its link to other particles in a simple way, it possible to “convert” the Heisenberg uncertainty principle into a very simple quantum probabilistic model. We further combine this with key elements from special relativity theory and get an interesting quantum relativistic probability theory. Some of the key points presented here could help to eliminate negative and above unity (pseudo) probabilities that often are used in standard quantum mechanics. These fake probabilities may be rooted in a failure to understand the Heisenberg principle fully in relation to the Planck mass. When properly understood, the Heisenberg principle seems to give a probabilistic range of quantum probabilities that is sound. There are no instantaneous probabilities and the maximum probability is always unity. In our formulation, the Planck mass particle is always related to a probability of one. Thus, we have certainty at the Planck scale for the Planck mass particle, or for particles accelerated to reach Planck energy. We are also presenting a relativistic extension of the McCulloch Heisenberg-derived Newton equivalent gravity theory. Our relativistic version requires much less mass than the Newtonian theory to explain gravitational phenomena, and initial investigation indicates it is consistent with perihelion of Mercury.