Abstract This paper presents an in-depth investigation into quantum effects and the three established principles of quantum mechanics, including the dynamics derived from the development of physical systems—specifically, the reversal of positive and negative energy directions, as well as the density expansion and contraction caused by interactions between energy systems. Additionally, this study introduces a novel theoretical framework that proposes a new scope for understanding quantum phenomena. A truly universal principle must satisfy both Galileo’s principle of relativity and the law of covariance, thereby enabling the identification of global hidden variables or underlying mechanisms behind physical phenomena, and allowing for the explanation and demonstration of the deductive logic and outcomes of all physical processes.Contemporary quantum experiments, evaluated through Bell’s inequality, suggest that quantum mechanics is currently regarded as complete. Furthermore, it is widely accepted that quantum entanglement exhibits uncertainty prior to measurement, with its process being superluminal and non-local. However, the fundamental reasons behind these characteristics—particularly their true physical principles, dynamic behavior, and evolutionary logic—remain inadequately addressed. In fact, current interpretations of quantum mechanics are largely superficial and do not fully incorporate Galilean covariance, indicating an inherent incompleteness.At present, the major frameworks of quantum mechanics—including quantum theory, relativity, quantum field theory, and the Schrödinger equation—are primarily confined to the description of the positive (observable) world. They generally deny the possibility of energy direction reversing into negative energy states or transitioning into a hypothetical negative world. Moreover, they reject the idea that quantum entanglement can occur within the negative world and subsequently return to the positive world, implying oscillatory motion, reciprocation, energy exchange, and superluminal properties.The prevailing interpretation—that the interaction between entangled quanta, involving energy, force, reference frames, and positively entangled particles, constitutes a holistic effect—is insufficient. Specifically, attempting to explain the instantaneous, superluminal, and uncertain nature of quantum effects solely based on dynamics restricted to the positive world domain appears fundamentally flawed. Current quantum mechanical explanations fail to identify the global hidden variables or the underlying mechanisms governing physical phenomena. Furthermore, they cannot account for why quantum entanglement results violate Bell’s inequality.According to Galileo’s law of covariance, quantum mechanics should not be satisfied with partial or limited covariance. Therefore, we propose a new quantum mechanical principle grounded in three hypotheses to address these limitations. Given that energy possesses both positive and negative directional properties, particularly under dynamic conditions where energy direction reverses, the instantaneous density ratio becomes extremely small. This leads to the physical realization of quantum superluminal phenomena. Through the principle of resonance—such as energy direction reversal and quantum entanglement—these phenomena become possible.To satisfy Galilean covariance, it can be inferred that only the reversal of the energy vector direction and transition into the negative world can fulfill such requirements. Due to the potential existence of negative entanglement in negative energy and the reciprocal exchange between the positive and negative worlds, there remains uncertainty regarding the parity of energy increase or spin quantity in returning quanta or systems. Furthermore, experimental observations from phase-locked reverse measurements—where "the jump value of PDV data consistently exceeds the rise"—suggest new physical interpretations involving imaginary numbers and calculus related to energy direction and the negative world. These findings demonstrate the pre-measurement uncertainty of quantum states, as well as the superluminal and non-local nature of quantum processes, thereby supporting the inference of a new foundational theory of quantum mechanics.Finally, the quantum teleportation experiment provides evidence of vector reversals in energy and information transmission, further confirming the existence of superluminal communication.
Abstract This paper presents an in-depth investigation into quantum effects and the three established principles of quantum mechanics, including the dynamics derived from the development of physical systems—specifically, the reversal of positive and negative energy directions, as well as the density expansion and contraction caused by interactions between energy systems. Additionally, this study introduces a novel theoretical framework that proposes a new scope for understanding quantum phenomena. A truly universal principle must satisfy both Galileo’s principle of relativity and the law of covariance, thereby enabling the identification of global hidden variables or underlying mechanisms behind physical phenomena, and allowing for the explanation and demonstration of the deductive logic and outcomes of all physical processes.Contemporary quantum experiments, evaluated through Bell’s inequality, suggest that quantum mechanics is currently regarded as complete. Furthermore, it is widely accepted that quantum entanglement exhibits uncertainty prior to measurement, with its process being superluminal and non-local. However, the fundamental reasons behind these characteristics—particularly their true physical principles, dynamic behavior, and evolutionary logic—remain inadequately addressed. In fact, current interpretations of quantum mechanics are largely superficial and do not fully incorporate Galilean covariance, indicating an inherent incompleteness.At present, the major frameworks of quantum mechanics—including quantum theory, relativity, quantum field theory, and the Schrödinger equation—are primarily confined to the description of the positive (observable) world. They generally deny the possibility of energy direction reversing into negative energy states or transitioning into a hypothetical negative world. Moreover, they reject the idea that quantum entanglement can occur within the negative world and subsequently return to the positive world, implying oscillatory motion, reciprocation, energy exchange, and superluminal properties.The prevailing interpretation—that the interaction between entangled quanta, involving energy, force, reference frames, and positively entangled particles, constitutes a holistic effect—is insufficient. Specifically, attempting to explain the instantaneous, superluminal, and uncertain nature of quantum effects solely based on dynamics restricted to the positive world domain appears fundamentally flawed. Current quantum mechanical explanations fail to identify the global hidden variables or the underlying mechanisms governing physical phenomena. Furthermore, they cannot account for why quantum entanglement results violate Bell’s inequality.According to Galileo’s law of covariance, quantum mechanics should not be satisfied with partial or limited covariance. Therefore, we propose a new quantum mechanical principle grounded in three hypotheses to address these limitations. Given that energy possesses both positive and negative directional properties, particularly under dynamic conditions where energy direction reverses, the instantaneous density ratio becomes extremely small. This leads to the physical realization of quantum superluminal phenomena. Through the principle of resonance—such as energy direction reversal and quantum entanglement—these phenomena become possible.To satisfy Galilean covariance, it can be inferred that only the reversal of the energy vector direction and transition into the negative world can fulfill such requirements. Due to the potential existence of negative entanglement in negative energy and the reciprocal exchange between the positive and negative worlds, there remains uncertainty regarding the parity of energy increase or spin quantity in returning quanta or systems. Furthermore, experimental observations from phase-locked reverse measurements—where "the jump value of PDV data consistently exceeds the rise"—suggest new physical interpretations involving imaginary numbers and calculus related to energy direction and the negative world. These findings demonstrate the pre-measurement uncertainty of quantum states, as well as the superluminal and non-local nature of quantum processes, thereby supporting the inference of a new foundational theory of quantum mechanics.Finally, the quantum teleportation experiment provides evidence of vector reversals in energy and information transmission, further confirming the existence of superluminal communication.
This paper proposes a novel framework to derive all known laws of physics from a single foundational principle: the *Law of Consistency*, introduced in Section 2. By applying this law to symmetric states and conditions—regardless of the method of execution—it becomes possible, through pure mathematical reasoning, to reconstruct both classical mechanics (as developed by Isaac Newton) and, more significantly, quantum mechanics. Quantum mechanics is reinterpreted in this paper under a new conceptual framework rooted in consistency, providing coherent explanations for key phenomena such as entanglement, decoherence, wave function collapse, interference, the Pauli exclusion principle, and others. The principle of consistency is also extended to the domain of special relativity and shown to underlie its transition into general relativity. Some well-known equations (e.g., *E = mc²*) are re-derived, not for novelty, but to emphasize their foundational basis in the proposed axioms of consistency (Axioms 1 and 2) and logical deduction. Constants of nature (e.g., Planck's constant, *G*, *k*, etc.) are not addressed in this work.they may represent arbitrarily assigned values within the universe,but must be preserved through space and time by definition of the consistency laws.
By expanding the research paradigm and reconciling the two binary oppositions of "relative and absolute" and "quantum and classical" in physics, a new theoretical framework that is compatible with relativity and quantum mechanics is proposed. Firstly, excavate and establish three universal axioms: Axiom 1 (consensus guarantees equal rights), Axiom 2 (objective existence independent of measurement), and Axiom 3 (universality of causality and dialectical logic), based on which to criticize the logical contradictions of existing theories. In the field of relativity, this article points out that there is a logical paradox in the explanation of "clock slowing down depends on relative motion" in special relativity (A clock is both faster and slower than B clock), and proposes a relative absolute spacetime view that "absolute motion leads to clock slowing down". By extending the Lorentz transformation, absolute motion and relative motion are unified, solving problems such as the twin paradox. At the same time, based on the prediction of the Dirac equation for negative mass matter, the "negative mass spacetime curvature paradox" is proposed, challenging Einstein's physical explanation of spacetime curvature and arguing that it is only a mathematical tool (the mathematical expression of gravity) rather than a physical reality. In the field of quantum mechanics, this article criticizes the Copenhagen interpretation for violating Axiom 2 (denying the independent eigenstates of microscopic particles). By modifying the Schrödinger equation twice (For the first time, electromagnetic potential energy was replaced with gravitational potential energy, and the Schrödinger-Tu equation was established to describe macroscopic objects such as the Earth's revolution; The second step is to convert potential energy into electromagnetic/gravitational force and derive the wave mechanics equation of classical mechanics laws, such as Newton's second law with force operator), proves that quantum and classical theories are compatible within the same mathematical framework. In the experiment, it was demonstrated through the "anti-interference electron diffraction experiment" that a strong magnetic field only changes the shape of diffraction fringes without causing them to disappear, denying the inevitability of quantum decoherence. The establishment of "generalized wave dynamics" and "relative absolute spacetime view" breaks the binary opposition of traditional theories and provides a new paradigm for the unity of relativity and quantum mechanics. The core value of these jobs lies in: In terms of theoretical innovation, reconstruct the space-time and quantum interpretation system, while retaining the original mathematical form system; In terms of experimental verification, design feasible schemes such as hollow glass disk Jones experiment and geometric optical velocimetry experiment; In terms of philosophical significance, replacing "mathematical symmetry" with "content unity" and returning to the objectivity of physical mechanisms. The research conclusion indicates that by expanding paradigms and axiomatic constraints, the contradiction between relativity and quantum mechanics can be transformed into a complementary relationship, laying the foundation for the great unity of physics theory
Since its establishment, quantum mechanics has developed for a century and has a very large theoretical system, but the phenomenon of quantum mechanics still lacks a generally accepted explanation, which undoubtedly shows that the existing theoretical system is incomplete. Inspired by ancient Chinese philosophy, we propose a theoretical framework in this paper, which provides a new perspective for explaining quantum mechanical phenomena including superposition and entanglement. In addition, the proposed framework contributes to a profound understanding of the law of conservation of energy. We show through examples how basic superposition states and entangled states are constructed. Our work can inspire people to think deeply about the mysteries of nature, especially quantum mechanical phenomena.
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.
Quantum mechanics is the study of uncertainty. But what does uncertainty mean within the structure of physical reality? From Newton onward, mathematical physics has largely approached motion by specifying a state, identifying the laws governing its evolution, and determining the subsequent behavior of the system. Fourier extended this program to heat, Maxwell to electromagnetic fields, Navier and Stokes to fluids, Hamilton and Lagrange to variational and canonical mechanics, Einstein to spacetime, and quantum mechanics to the evolution and measurement of the quantum state. Across these theories, increasingly powerful mathematics has described what a physical system may do and how its state may evolve. This work asks a logically prior question: Does everything that is mathematically accessible participate equally in physical realization? We propose that it does not. The central distinction developed in this work is between accessibility, admissibility, participation, and realization. A mathematical representation may contain a large space of possible states, trajectories, modes, or outcomes. Physical realization, however, need not occupy that space uniformly. We propose that relational structure establishes an admissible geometry within the accessible space; that geometry determines which possibilities participate strongly or weakly; and probability subsequently quantifies the residual uncertainty among physically supported realizations. The resulting ordering is: Potentiality → Relations → Structure → Geometry → Admissibility → Participation → Realization → Evolution. Under this interpretation, probability is not abolished. Superposition is not abolished. Quantum mechanics is not rejected. Rather, their physical ordering is reconsidered. Superposition describes what the mathematical representation can contain; relational geometry determines how strongly those possibilities can participate; probability describes the uncertainty remaining within that structured support; and observation records the realization that occurs. The NIST loophole-free two-photon Bell experiment provides the principal empirical test developed in this work. Beginning from the experimentally characterized entangled state—not from subsequently observed outcome counts—we construct a relational geometry and the corresponding outcome-dependent participation and information-cost landscapes. The NIST measurement configurations then become experimental sampling coordinates on a geometry determined independently from the later event records. The resulting analysis identifies several mutually reinforcing features: strong inequality among the participation of mathematically accessible Bell outcomes; a corresponding hierarchy of geometric information cost; concentration of experimental variation into reduced effective dimensions; agreement between predicted geometric support and held-out experimental records; preservation of Bell-inequality violation on the reduced realization geometry; compatibility with no-signalling; and robustness tests against multinomial, temporal, detector, and other alternative explanations. The interpretation is not a restoration of Bell-local hidden variables and does not require superluminal signalling. Bell's theorem continues to exclude the relevant locally factorized descriptions. Instead, the observed correlations are interpreted as local measurements of a common non-separable relational structure. Spatial separation does not imply relational or informational separability. This distinction also reframes the quantum measurement problem. Wave-function collapse need not be regarded as the event that creates the physical structure responsible for an outcome. The framework instead proposes that admissibility constrains participation prior to observation, with measurement revealing a realization from an already structured physical domain. A definitive replacement for the standard measurement postulate will require discriminating predictions beyond those already shared with conventional quantum mechanics. The broader implication concerns the theory of motion itself. Newtonian mechanics, Hamiltonian dynamics, Maxwell's equations, Fourier transport, Navier–Stokes flow, relativity, and quantum mechanics employ very different evolution equations, yet all operate upon structured physical domains. The admissibility framework proposes that their deeper commonality lies not in a single dynamical equation but in an ontological ordering: the laws of motion govern how reality evolves; admissibility governs the structure within which reality can become realized. This has consequences beyond quantum foundations. In engineering and computational physics, enormous mathematical state spaces are routinely explored through CFD, finite-element simulation, optimization, Monte Carlo methods, and digital twins. If physically significant behavior occupies a substantially smaller admissible geometry, computation can be redirected from exhaustive exploration toward the structures in which realizable behavior is concentrated. This provides a theoretical basis for reduced-order physical prediction, targeted simulation, transport localization, and deterministic Physics Intelligence. In AI infrastructure and high-performance computing, the same principle suggests that workloads, thermal transport, energy utilization, routing, scheduling, and hardware states need not be treated as equally relevant points within enormous combinatorial spaces. Identifying admissible low-dimensional structure before exhaustive computation offers a route toward reduced search complexity, improved orchestration, higher computational and energy efficiency, and physics-informed predictive control. In aerospace, energy, advanced manufacturing, climate systems, and data-center infrastructure, the framework similarly motivates identifying the geometry of physically participating transport before expending computational resources resolving the entire mathematically accessible domain. The work therefore proposes a common principle extending from fundamental physics to computational engineering: Mathematical possibility is larger than physical realization. Uncertainty may remain genuine at the level of an individual event without implying an absence of antecedent structure. The results presented here provide empirical evidence consistent with the proposition that physical realization is organized by relational geometry prior to probability, while identifying the further tests required to establish whether this ordering constitutes a fundamental law of quantum and classical motion. The next decisive tests include prospective Bell predictions, multipartite and contextuality experiments, Lorentz-covariant formulation, recovery of the classical limit, and extension to quantum field theory and curved spacetime. Nature need not explore everything mathematics permits. Motion is the realization of what physical structure admits. That description captures the actual architecture of the finished 130-page work: it preserves Bell's theorem rather than attempting to evade it, explicitly separates mathematical accessibility from physical participation, and treats the NIST comparison as evidence for the proposed framework while acknowledging that a distinctive prediction beyond standard quantum mechanics remains necessary for a physical replacement of collapse. Principal Implications What This Means for Bell’s Inequality Bell's theorem remains intact. The present framework does not attempt to restore Bell-local hidden variables, weaken Bell's result, or explain the observed correlations through faster-than-light signalling. Bell establishes that the correlations observed between Alice and Bob cannot be reproduced by the relevant locally factorized description. The question developed here begins after that result: if Bell-local separability fails, what physical structure carries the correlations? The proposed answer is relational geometry. Alice and Bob remain spatially separated and perform local measurements, but their outcomes arise from different interrogations of a common non-separable quantum structure. Spatial separation therefore does not imply informational or relational separability. The correlation need not be interpreted as something transmitted from Alice to Bob at the moment of measurement; it can instead be understood as a property of the joint structure to which both measurements belong. The NIST analysis gives this interpretation a quantitative form. The characterized entangled state determines the relational geometry before the subsequent detector records are used for evaluation. Alice's and Bob's measurement settings sample different regions of that geometry. The resulting Bell outcomes exhibit strongly unequal participation, while Bell violation and no-signalling are preserved. The proposed implication is therefore: Bell violation demonstrates the failure of Bell-local factorization; admissibility proposes a geometry for the non-separable physical structure that remains. This reframes the familiar intuition of "action at a distance." The deeper question may not be how information crosses the distance between Alice and Bob, but why spatial distance should require the relational information defining their joint state to become separable in the first place. What This Means for Wave-Function Collapse The framework does not discard wave-function collapse as an operational rule for updating the quantum state after an observation. It changes the proposed ontological role assigned to collapse. In the conventional collapse-centered picture, the quantum state contains multiple possible outcomes and measurement marks the transition to a definite result. This leaves a foundational question: what physically distinguishes the outcome that becomes real from those that do not? Admissibility inserts a structural stage before observation. The accessible quantum
This article surveys a selection of key conceptual and interpretational developments in quantum mechanics, tracing the theory from its foundational postulates to contemporary discussions of measurement, nonlocality, and the emergence of classicality. Beginning with the structure of Hilbert space and the postulates governing state evolution and measurement, the epistemic stance of the Copenhagen interpretation and its modern reformulations are examined. The Einstein–Podolsky–Rosen argument, Bell’s theorem, and Hardy’s paradox are then discussed as probes of locality and realism, alongside the deterministic but explicitly nonlocal de Broglie–Bohm theory. The measurement problem and the implications of contextuality are analyzed in relation to objective collapse models, which introduce new physical dynamics to account for definite outcomes. Finally, the role of decoherence in the suppression of interference and the emergence of classical behavior is explored, together with the interpretational frameworks of many-worlds and consistent histories. This material aims to provide a coherent introductory overview of how several of the most prominent interpretations address the central concern of what quantum mechanics tells us about the nature of physical reality.