Reinterpreting Landauer Conductance Solves the Quantum Measurement Problem, Proving Time Travel Feasibility Via Mechanical Processes
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The fundamental nature of quantum measurement and its connection to classical physics remain central challenges in modern physics, and a new theoretical framework addresses these issues by reinterpreting established concepts in mesoscopic systems. Kanchan Meena, Souvik Ghosh, and P. Singha Deo, from institutions including the SN Bose Centre in Kolkata and National Sun Yat-sen University, demonstrate how a locally defined density of states, a property easily accessible in very small systems, provides a crucial link between the quantum and classical worlds. Their work rigorously establishes that this local density of states acts as a hidden variable within mechanics, allowing for a deterministic interpretation of quantum measurement and a firm theoretical foundation for the Landauer-Buttiker formalism. By analysing conductance in mesoscopic samples, the team reveals that measured values arise from a predictable superposition of states, effectively resolving the quantum measurement problem and paving the way towards a grand unification of classical and quantum laws.
Local Partial States Determine Quantum Outcomes This work rigorously establishes that the seemingly random outcomes of quantum measurements are, in fact, deterministic and can be explained by a locally defined quantity called the local partial states. This determinism is key to unifying quantum mechanics and relativity, addressing a long-standing problem in physics. Researchers demonstrate that the shape of the Argand diagram, a plot representing complex particle scattering, reveals the deterministic link between local states and measurement results, emphasizing the crucial role of Fano resonances in observing this connection. The authors introduce the local partial state as a way to explain determinism, demonstrating that when the Argand diagram closes on one side of the complex plane, both the local partial state and measurable quantities oscillate predictably. This link is further supported by topological arguments, providing a consistent explanation for observed determinism and aligning with the work of Roger Penrose, who suggests a deterministic interpretation is necessary for unification. Local Density of States Enables Time Travel This research rigorously demonstrates the feasibility of time travel through mechanical processes, focusing on the crucial role of local time and a local partial density of states. Researchers establish that this density of states functions as a hidden variable in mechanics, influencing measurement and unifying classical and quantum laws. The study pioneers a re-interpretation of the Landauer-Buttiker formalism, grounding it in a firm theoretical basis and resolving the measurement problem through the density of states, which dictates deterministic outcomes from linear superpositions of states. To achieve this, scientists meticulously analyzed the three-probe conductance formula, establishing arguments applicable to the general case, and developed a novel approach to calculating local time mechanically. This calculated time precisely dilates like relativistic proper time, remaining consistent with coordinate time, thereby demonstrating a profound connection between mechanical and relativistic frameworks. Researchers focused on von Neumann’s wave-mechanics, essential for accurately defining states within mesoscopic systems, those bridging the classical and quantum realms.
The team established a framework for determining the Hilbert space, utilizing eigenstates of well-defined operators as basis states, and employed the time-dependent Schrodinger equation to model pulse propagation within the mesoscopic system. This approach accurately relates dynamics using probabilistic interpretation and the uncertainty principle, averaging numerous pulse propagation events to determine scattering probabilities. Crucially, the team developed a method to define local time using physical clocks, specifically Larmor clocks, which directly relates to the quantum mechanically defined density of states.
Mechanical Time Dilation Confirms Time Travel Feasibility Scientists have rigorously proven the feasibility of time travel through mechanical processes, establishing a foundation for future direct experimental verification. This work centers on the crucial role of local time and a local partial density of states, demonstrating that this density of states can readily become negative within mesoscopic systems. The research reveals this density of states as a previously hidden variable within mechanics, inferable through the dynamics of physical clocks and justified by the unique isomorphism between Hilbert space and the complex plane.
The team demonstrates that mechanically calculated local time can dilate precisely like relativistic proper time, aligning with the coordinate time of relativity, thereby unifying these frameworks. Furthermore, measurements of conductance in mesoscopic samples are shown to be deterministic outcomes arising from a linear superposition of states, a consequence of the influence of the density of states. Detailed analysis of the three-probe conductance formula supports these arguments for the general case, providing a robust theoretical basis for understanding electron transport. This breakthrough re-interprets the widely successful Landauer-Buttiker formalism for mesoscopic systems, placing it on firm theoretical ground as a bridge between classical and quantum mechanics. The research establishes that the density of states not only deterministically predicts quantum measurement outcomes but also naturally resolves the long-standing problem of unification between classical and quantum laws, opening new avenues for exploration in fundamental physics. Negative LPDOS Enables Deterministic Time Travel This research demonstrates that time travel is theoretically feasible within the framework of mechanical processes, particularly in mesoscopic systems.
The team rigorously proved this possibility by identifying a crucial, previously hidden variable in mechanics: the local partial density of states. This density of states, which can become negative in mesoscopic systems, allows for a deterministic interpretation of quantum measurements, resolving a long-standing challenge in unifying relativity and quantum mechanics. The findings establish a direct link between this density of states and a local time that aligns with both relativistic and quantum principles, effectively bridging the gap between these two fundamental theories. The research successfully reinterprets the established Landauer-Buttiker formalism, grounding it in a firm theoretical foundation and demonstrating that measurable quantities, such as conductance changes, are determined by the density of states. Future work could focus on experimentally determining the argument of the scattering matrix and carefully examining its behavior to infer the properties of the density of states. 👉 More information 🗞 Reinterpreting Landauer conductance, solving the quantum measurement problem, grand unification 🧠 ArXiv: https://arxiv.org/abs/2512.09709 Tags: