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

TL;DR

This paper proposes that local partial density of states (LPDOS) can reinterpret Landauer conductance, address the quantum measurement problem, and unify classical and quantum physics through a quantum-mechanical view of local time.

Contribution

It introduces LPDOS as a hidden variable that can re-interpret Landauer formalism and solve the quantum measurement problem, unifying classical and quantum laws.

Findings

LPDOS can be inferred from quantum clocks in mesoscopic systems.

Measured conductance results from a superposition of states due to LPDOS.

Quantum local time can dilate similarly to relativistic proper time.

Abstract

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.