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Energy Gradient Model 2.0 (EGM 2.0)

Yung Hsu

Published Jan 1, 2026• 0 citations
Publisher

Abstract

The Energy Gradient Model 2.0 (EGM 2.0) provides a clear, intuitive, and experimentally consistent framework for describing microscopic particle dynamics. Unlike traditional quantum mechanics, which relies on abstract wavefunction penetration and probabilistic interpretations, EGM 2.0 interprets quantum behavior as energy‑gradient‑driven evolution of electron clouds. The model unifies quantum tunneling and quantum transition under a single physical mechanism distinguished by a critical structural stability threshold. This paper presents a concise introduction to the core concepts, fundamental assumptions, and basic formalism of EGM 2.0. Keywords: Energy Gradient Model, EGM 2.0, electron cloud, energy gradient, quantum tunneling, quantum transition

DOI
10.17605/osf.io/ft29q

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The Energy Gradient Model 2.0 (EGM 2.0) provides a clear, intuitive, and experimentally consistent framework for describing microscopic particle dynamics. Unlike traditional quantum mechanics, which relies on abstract wavefunction penetration and probabilistic interpretations, EGM 2.0 interprets quantum behavior as energy‑gradient‑driven evolution of electron clouds. The model unifies quantum tunneling and quantum transition under a single physical mechanism distinguished by a critical structural stability threshold. This paper presents a concise introduction to the core concepts, fundamental assumptions, and basic formalism of EGM 2.0. Keywords: Energy Gradient Model, EGM 2.0, electron cloud, energy gradient, quantum tunneling, quantum transition
In traditional quantum mechanics, electron tunneling is described as a quantum penetration effect through a potential barrier. This paper proposes a new physical framework based on the Energy Gradient Model 2.0 (EGM 2.0), which reinterprets the tunneling phenomenon from the perspective of electron cloud deformation and energy gradient driving. Experiments show that when an external potential is applied to a stable electronic system, the electron cloud distribution is reconstructed without destroying the basic electronic structure. A clear energy threshold exists: below the threshold, only electron cloud deformation and spatial rearrangement occur, which corresponds to the tunneling effect; above the threshold, the original quantum state is destroyed, leading to quantum transition. The EGM 2.0 model unifies the mechanism of electron tunneling and quantum transition, providing a consistent classical-quantum physical explanation.
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The quantum tunneling phenomenon has long been explained by quantum mechanics using abstract concepts such as probability waves and wave function collapse. However, the essence of its microscopic physical mechanism—how and why a particle can traverse a classically forbidden region—has never been clearly elucidated, leading to a schism between the physical laws governing the micro- and macro-worlds. Based on the Great Tao Model and the Unified Theory of Atomic and Molecular Structure, this paper, for the first time, constructs a complete, self-consistent, and quantifiable framework for a classical physical explanation. The core of this framework clarifies the microscopic physical mechanisms of "local weakening of the Existence Field" and "formation of a directional field channel", reducing the tunneling process to a deterministic sequence of events: "information coupling → field weakening → channel formation → classical penetration". The study rigorously derives the quantitative relationships between the field strength weakening coefficient, the field channel width, and the penetration probability. Its mathematical form is compatible with the empirical formula of quantum mechanics, but its physical connotation is fundamentally different. Case studies demonstrate that this theory can uniformly explain the atomic-scale resolution of scanning tunneling microscopy (STM), the deterministic energy release in α-decay, and the physical necessity for the impossibility of macroscopic object tunneling. Starting from the first principles of classical physics, this paper provides a new paradigm for understanding tunneling that aligns with physical intuition, has a clear mechanism, and is subject to experimental verification, achieving a logical unification of micro- and macro-physical laws.
This paper proposes a classical alternative explanation for the tunneling effect in quantum mechanics. Standard quantum theory describes tunneling as a particle "penetrating" a potential barrier whose energy exceeds the particle's own kinetic energy with a certain probability. However, this explanation focuses only on the mathematical initial and final states, completely ignoring any dynamical process the electron may undergo before the barrier, and lacks a physical picture. This paper argues that tunneling is not an intrinsic quantum property of a single electron, but rather a collective statistical fluctuation event involving multiple electrons: electrons near the barrier, through a series of random collisions in the correct direction, gradually transfer and concentrate kinetic energy onto the electron closest to the barrier, enabling it to instantaneously acquire kinetic energy exceeding the barrier threshold and thus classically fly over the barrier. During the crossing, the electron must do work against the barrier, converting kinetic energy into potential energy; therefore, after crossing, its kinetic energy is reduced and it cannot cross the same barrier again. Tunneling probability is reinterpreted as the success probability of such a "directed energy relay" event. This model is fully self-consistent within the framework of classical electromagnetism and statistical mechanics, requiring no wave functions or probability waves, with a clear physical picture and explicit causal chain. This paper further points out that under strictly single-electron conditions, this model predicts that tunneling will completely disappear, a prediction that stands in fundamental opposition to the standard quantum model and can serve as a decisive experiment to test the two theories.
We present a structured summary of an oscillatory-spacetime framework in which the standard formalism of quantum mechanics arises from a single physical assumption. In this approach, elementary particles are modeled as localized spacetime singularities carrying an intrinsic oscillatory degree of freedom. The persistence and transport of this oscillation account for wavefunction structure, superposition, energy--momentum relations, spin, relativistic dynamics, antiparticles,and electromagnetic interactions without the introduction of independent postulates. This paper does not rederive the framework, but organizes its development by reviewing the key experimental observations that motivated quantum mechanics, summarizing the core assumptions of the standard theory, and showing how these structures emerge within the oscillatory-spacetime picture. The result is a compact guide for readers familiar with quantum mechanics that clarifies how its diverse elements can be unified within a single physical model.
Quantum tunnelling represents one of the most fundamental conse-quences of quantum mechanics. The phenomenon allows particles to pen-etrate potential barriers even when their kinetic energy is insufficient ac-cording to classical mechanics. Although initially discovered while study-ing nuclear decay, tunnelling has since emerged as a unifying mechanism across multiple areas of physics. In astrophysics, tunnelling enables nu-clear fusion inside stellar cores by allowing positively charged nuclei to penetrate the electrostatic Coulomb barrier. This process provides the primary energy source for stars and enables the cosmic synthesis of heavy elements necessary for planetary systems and biological life. The proba-bility of such reactions is governed by the Gamow factor and the resulting Gamow peak in stellar energy distributions. Beyond astrophysics, tun-nelling phenomena play a central role in modern quantum technologies, including scanning tunnelling microscopy, semiconductor devices, and su-perconducting Josephson junctions used in quantum computing architec-tures. In theoretical physics, tunnelling also appears in models of Hawk-ing radiation, providing a quantum interpretation for particle emission from black holes. This work presents a unified theoretical exploration of quantum tunnelling across multiple physical scales. Beginning with the Schrödinger equation and barrier penetration theory, we examine tun-nelling in nuclear astrophysics, stellar reaction rates, quantum devices, and gravitational systems. Finally, we discuss emerging informational perspectives in modern physics, suggesting that probabilistic quantum processes may reveal deeper informational structures underlying physical reality.