This paper introduces a new theoretical paradigm for elementary particles, specifically the electron, proposing an internal structure composed of entangled mass elements. The model extends Bohm’s quantum potential theory ,redefining the quantum potential as an emergent property of intra-particle entanglement, rather than as a purely mathematical non-local function. This framework offers a novel resolution to the problems of wave function collapse and non-locality, while ensuring compatibility with special relativity. Additionally, the model incorporates concentric "s"-type orbitals to describe the spatial arrangement of mass elements, providing a framework that aligns with the principles of quantum mechanics while allowing for a stationary and symmetric configuration of the electron. Though detailed electrostatic and relativistic derivations are beyond the scope of this work, this paradigm suggests a unified and physically grounded interpretation of quantum phenomena that bridges the gap between quantum mechanics and classical physics. Further developments and mathematical formalism will be discussed in subsequent work .
This paper introduces a new theoretical paradigm for elementary particles, specifically the electron, proposing an internal structure composed of entangled mass elements. The model extends Bohm’s quantum potential theory ,redefining the quantum potential as an emergent property of intra-particle entanglement, rather than as a purely mathematical non-local function. This framework offers a novel resolution to the problems of wave function collapse and non-locality, while ensuring compatibility with special relativity. Additionally, the model incorporates concentric "s"-type orbitals to describe the spatial arrangement of mass elements, providing a framework that aligns with the principles of quantum mechanics while allowing for a stationary and symmetric configuration of the electron. Though detailed electrostatic and relativistic derivations are beyond the scope of this work, this paradigm suggests a unified and physically grounded interpretation of quantum phenomena that bridges the gap between quantum mechanics and classical physics. Further developments and mathematical formalism will be discussed in subsequent work .
This work advances the theoretical framework of the electron model introduced in a previous paper (viXra: 2411.0050 -Quantum Physics) , which describes the electron as composed of entangled mass elements . This model proposes an extension of the de Broglie-Bohm (dBB) paradigm , achieving compatibility with Special Relativity . Explicit expressions for 𝑍 and 𝑍𝐶 are derived , describing the sequence of orbitals and their associated masses , along with a detailed analysis of their physical significance . An innovative interpretation of spin and magnetic moment is presented , viewing them as invariant properties across orbitals , despite variations in the associated parameters . This perspective provides a potential explanation for the experimentally observed phenomenon of spatial spin separation from its particle . Additionally , the Appendix includes applications of the 𝑀𝑍 matrix—a conceptual tool integral to the proposed formalism—for estimating particle masses, specifically those of the muon and tauon, with notable accuracy. This work represents the second part of a trilogy. A forthcoming extension will focus on the characteristics of orbitals, with particular emphasis on the definition of attractive and repulsive potentials and the associated Hamiltonian, thereby completing the theoretical framework.
Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that natural phenomena have a connection with intangible reality which cannot be measured directly. Furthermore, the intangible reality is supposed as vacuum particles -- stationary vacuum electrons as a model. In addition, 4-Dimensional Complex Space is introduced, in which each dimension has an internal complex space.
The mainstream interpretation of quantum entanglement and its derivative phenomena has long relied on concepts such as non-locality and superposition, leading to a lack of dynamical mechanism description for wave function collapse and creating profound conflicts with physical causality. This paper, based on the "Great Tao Model" and its "Existence Field Theory," proposes a systematic and unified interpretation of quantum entanglement phenomena, exemplified by the experiments recognized by the 2022 Nobel Prize in Physics. First, it analyzes the erroneous presuppositions in the derivation of Bell's inequality based on Existence Field Theory and establishes a general classical interpretation framework grounded in "static initial correlations" and "local interactions." Subsequently, through a classical physical reconstruction of milestone experiments such as Aspect's, it demonstrates that this framework is sufficient to explain all observed phenomena self-consistently, without introducing "non-local superluminal action." Building on this, the paper successfully extends this interpretative framework to core quantum phenomena such as quantum decoherence, teleportation, and many-body entanglement, revealing that they also originate from classical conservation law constraints and local field interactions. Furthermore, this paper compares the Great Tao Model with hidden variable theories, finding that although both belong to the classical realism camp and oppose non-locality, the Great Tao Model requires no introduction of any hidden variables. Instead, it explains phenomena directly based on the specific physical properties (charge, mass) of elementary particles and the local dynamics of their existence fields, thus providing a more physically realistic and unified theoretical framework. This study offers a unified, causality-compliant classical explanation for a series of quantum phenomena claimed to exhibit "non-locality," fundamentally challenging the conceptual foundation of related quantum information technologies and providing a new path for physics to return to a theoretical paradigm based on realism, locality, and clear dynamical mechanisms.
The theoretical foundations of quantum mechanics and de Broglie–Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal structures of extended particles comply with a wave equation. Including external potentials yields the Schrödinger equation in this context, is arbitrary due to internal energy components. The statistical interpretation of wave functions in quantum theory as well as Heisenberg’s uncertainty relations are shown to be an expression of this, fundamental arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. Electrostatic interactions justify the initial assumption of electron–wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. The theory finally points out some fundamental difficulties for a fully covariant formulation of quantum electrodynamics, which seem to be related to the existing infinity problems in this field.
A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable predictions of non-relativistic quantum mechanics. Within it, particles exist at points in space, follow continuous, piecewise differentiable paths, and their linear momentum is equal to their mass times their velocity along their path. Yet the probabilities for position and momentum, conditioned on the state of the particle's environment, follow the rules of quantum theory. Indeed, all observable consequences of quantum theory are satisfied; particles can be entangled, have intrinsic spin, this spin is not local to the particle, particle identity can effect probabilities, and so forth. All the rules of quantum mechanics are obeyed, and all arise in a straightforward fashion. After this is established, connections will be drawn out between this type of mechanics and other types of quantum worlds; those that obey Bohmian mechanics, stochastic mechanics, the many worlds interpretation, and physical collapse. In the final section, a relativistic version of the mechanics will be presented.
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.