arXiv subjects

Kanchan Meena

Publications and source records attributed to Kanchan Meena.

6 recordsLinked to original sources

arXiv2025

Reinterpreting Landauer conductance, solving the quantum measurement problem, grand unification

In a series of recent papers we have proved rigorously that time travel is a reality and very much feasible by using quantum mechanical processes. There are plenty of indirect experimental support untill a direct experiment is conducted. The process crucially depend on the reality of a local time as well as a local partial density of states (LPDOS) that can become negative very easily in the quantum regime of mesoscopic systems. Mesoscopic systems are small enough to allow us to experimentally access the intermediate regime between the classical and quantum worlds. This LPDOS is in every sense a hidden variable in quantum mechanics that does not show up in the axiomatic framework of quantum mechanics. It can be inferred through physical clocks obeying quantum dynamics and can be rigorously justified from the properties of the Hilbert space that is uniquely isomorphic to the complex plane. Therefore one can naturally guess that LPDOS will have something important to say about quantum measurement as well as the unification of classical and quantum laws. We therefore undertake the exercise to show that LPDOS can very much allow us to re-interpret the enormously successful phenomenological Landauer-Buttiker formalism for mesoscopic systems and put it on firm theoretical ground as a bridge between classical and quantum mechanics, thereby unifying them. Essentially the local time calculated quantum mechanically can dilate exactly like the proper time of relativity and be consistent with the coordinate time of relativity. Also the measured conductance of mesoscopic samples is a deterministic quantum measurement outcome from a linear superposition of states, essentially because of LPDOS, which solves the quantum measurement problem. For this we analyze the three probe conductance formula in details and give our arguments for the general case.

cond-mat.mes-hall↗

arXiv2025

Negative Local Partial Density of States

Real quantum systems can exhibit a local object called local partial density of states (LPDOS) that cannot be proved within the axiomatic approach of quantum mechanics. We demonstrate that real mesoscopic system that can exhibit Fano resonances will show this object and also very counterintuitively it can become negative, resulting in the enhancement of coherent currents.

quant-ph↗

arXiv2025

Multiple Manifestations of Negative Local Partial Density of States

We revealed that with the measurement of the scattering phase shift of electron in low-dimensional or mesoscopic systems local objects of hierarchy of density of states can also determine experimentally. In recent times, it has been exhibited that in mesoscopic systems certain objects of density of states (DOS) hierarchy like local partial DOS, partial DOS, injectivity, emissivity, etc. can become negative in presence of Fano resonance. Negativity of local partial density of states can be interpreted as the losing coherent electrons in reverse time. This may have implications for the thermodynamic properties of these mesoscopic systems. In these negative local partial states, electrons may behave akin to positrons, resulting in practical the possibility of electron-electron interaction. The objective of this research is to reveal some manifestations of local objects in mesoscopic systems, employing rigorous calculations utilizing two different approaches: a continuum model and a discrete or tight binding model. It has been demonstrated that negative local partial states are correlated with Fano-resonance featuring a {\pi} phase drop.

cond-mat.mes-hall↗

arXiv2022

Time Reversed States in Barrier Tunneling

Tunneling, though a physical reality, is shrouded in mystery. Wave packets cannot be constructed under the barrier and group velocity cannot be defined. The tunneling particle can be observed on either sides of the barrier but its properties under the barrier has never been probed due to several problems related to quantum measurement. We show that there are ways to bypass these problems in mesoscopic systems and one can even derive an expression for the quantum mechanical current under the barrier. A general scheme is developed to derive this expression for any arbitrary system. One can use mesoscopic phenomenon to subject the expression to several theoretical and experimental cross checks. For demonstration we consider an ideal 1D quantum ring with Aharonov-Bohm flux $Φ$, connected to a reservoir. It gives clear evidence that propagation occur under the barrier resulting in a current that can be measured non-invasively and theoretically cross checked. Time reversed states play a role but there is no evidence of violation of causality. The evanescent states are known to be largely stable and robust against phase fluctuations making them a possible candidate for device applications and so formalizing current under barrier is important.

cond-mat.mes-hall↗

arXiv2022

A Mechanism to Attract Electrons

In a startling discovery it has been recently found that certain density of states (DOS) can become negative in mesoscopic systems wherein electrons can travel back in time. We give a brief introduction to the hierarchy of density of states in mesoscopic systems as we want to point out some robust phenomenon that can be experimentally observed with our present day technologies. They can have direct consequences on thermodynamic effects and also can provide indirect evidence of time travel. Essentially certain members of the hierarchy of DOS become negative in these regimes and that can attract other electrons.

cond-mat.mes-hall↗

arXiv2022

Mesoscopic System: Semiclassical vs Quantum

We explain a hierarchy of Friedel sum rule like formulas that help us understand response of mesoscopic systems to applied electric and magnetic fields. The formulas can be derived fully quantum mechanically and then there is a mathematical way to argue a semiclassical limit which may make the formulas practically relevant. But the mathematical prescription is not physically relevant in presence of a Fano resonance. A proper understanding of what exactly is the physical semiclassical limit is therefor not known and require future work.

cond-mat.mes-hall↗