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.
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.
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 and elaborated in Section 7. 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. It is argued that they may represent arbitrarily assigned values within the universe, preserved through space and time by definition and by the consistency law
This work presents an axiomatic and structural reconstruction of core elements of quantum mechanics. Starting from minimal principles — symmetry under vanishing preference, normalization, consistency of probability assignments, and coherence-preserving dynamics — we derive several central features of the quantum formalism rather than postulating them. Key results include: A geometric derivation of the constants 1/21/\sqrt{2}1/2 and 1/21/21/2 from symmetry and normalization. A theorem-level derivation of the Born rule (including the qubit case) from noncontextuality and additivity. A reconstruction of Schrödinger dynamics from reversible norm-preserving structure. A derivation of the tensor-product structure for composite systems from composition axioms and local tomography, with entanglement emerging as a necessary consequence. Formal treatment of Bell–CHSH nonlocality, Tsirelson’s bound, and no-signalling. A conditional reconstruction of complex Hilbert space structure from intrinsic phase dynamics and compositional consistency. The manuscript is self-contained and framed in standard mathematical-physics language. It does not propose modifications to quantum mechanics, but instead clarifies why many of its defining structures arise inevitably from deeper structural constraints. Prior computational and model-based work by the authors (including diagnostic toy models exploring phase locking, coherence stabilization, and recursive-time dynamics) is acknowledged but intentionally not reproduced here, in order to keep the present work focused on axiomatic structure rather than model-specific architecture. This upload is intended as a foundations and reconstruction contribution, suitable for readers interested in the mathematical and conceptual structure of quantum theory.
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.
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.
Repulsive phenomena occupy a central place in the structure of the physical world, yet the foundations of repulsion remain poorly understood. The Pauli exclusion principle prohibits fermions from occupying identical quantum states but offers no ontological reason for why such overlap is impossible. Similarly, Coulomb’s law asserts that like charges repel, but the sign and direction of the interaction are inserted into electromagnetic theory rather than derived from deeper principles. In this paper, a unified structural account of repulsion is developed using the Structural Unified Field (SUF) framework, which treats physical entities as layered existence structures required to maintain minimal separability across attribute domains. The non-overlap axiom states that distinct entities cannot project into overlapping configurations without collapsing their structural identity. We show that Pauli exclusion arises from non-overlap in quantum-state space, while Coulomb repulsion emerges from non-overlap in the electrostatic domain. Spatial impenetrability, interatomic repulsion, and degeneracy pressure are likewise interpreted as manifestations of the same structural constraint. This structural ontology reframes repulsion as neither a force nor an axiomatic rule but as a universal consequence of identity preservation. The approach clarifies long-standing foundational issues concerning indistinguishability, the spin–statistics connection, the nature of quantum forces, and the role of structure in physical law. By grounding repulsion in a single ontological principle, the SUF framework provides a conceptually unified basis for diverse repulsive phenomena and suggests new directions for foundational research in quantum mechanics, electromagnetism, and the philosophy of physics.
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