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Springer eBooks

Dynamics and Measurement of the Absolute Phase in Macroscopic Quantum Systems

Fernando Sols, Roger A. Hegstrom

Published Jan 1, 1995• 0 citations
Publisher
DOI
10.1007/978-94-015-8529-3_29

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Quantum mechanics traditionally asserts that quantum phase is inherently relative, observable solely as phase differences between distinct quantum states or modes, such as Delta phi equals phi_1 minus phi_2. This foundational tenet originates from the U(1) gauge invariance governing quantum systems, which dictates that global phase rotations produce no physical consequences for local measurements. In this paper, we propose the Absolute Quantum Phase Benchmark (AQPB) framework, a novel theoretical architecture that challenges this strict relativism by constructing a multi-layer entangled reference network. Through this network, we define an absolute phase formulation given by phi_abs equals phi minus Phi_network, designed to investigate whether an independent, non-trivial residual quantum phase exists beyond traditional local reference frames. We establish the mathematical foundations governing these multi-layer entangled structures, formulate the residual extraction protocols via higher-order moment analysis, and examine the profound implications that a validated absolute phase benchmark would hold for fundamental quantum measurement theory, macroscopic quantum phenomena, and modern gauge theories.

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Macroscopic Quantum Systems

Science•May 3, 2002•0 citations
We provide strong evidence for single-electron spatial dynamics with a macroscopic discontinuity. The dynamics is observed in an electron quantum phase consisted of macroscopic quantum orbits similar to those responsible for the integer quantum Hall effect. The dynamics is consistent with the standard QM that predicts a "cloud-like" behavior of electron in quantum orbits regardless of their lengthscale. Sinse the dynamics is beyond the relativistic paradigm of movement, it may well be nonlocal. It thereby can be the basis for a quantum concept of absolute simultaneity, which now rests not on the meaningless notion of infinite speed but on empirically-tested quantum effect. This concept revives the Bell-Popper idea to replace the current "kinematic" version of relativity by the "dynamic" version by Lorentz and Poincare with a revival of the classical view of space and time where the problem of preferred reference frame now can be solved without to involve the vague notion "aether". We argue that the concept of quantum absolute simultaneity opens the door to a realistic interpretation of standard QM through a deeper insight of what is called "reality" and ultimately to a harmony between quantum and relativity theories.
A model is proposed of a dynamic associated with general phase changes. We regard a system exhibiting various collective phenomena near the phase change point, where a macroscopic variable X approaches a transition point Xc, as a strongly interacting many-cluster system. The cluster means that of unstable phase locally appearing as fluctuations in the overwhelmingly large area of stable phase. The variable X is temperature in many cases. The present hypothesis enables us to find a form of the propagator of the cluster-excitation, whose linewidth is shown to be a homogeneous function of the wave number and the characteristic length diverging as |X-Xc|2/3 for X →;Xc except for Xc = absolute zero on the temperature axis. A hydrodynamics in the interacting many-cluster system yields an energy density wave which leads to the thermal conductivity diverging as |X-Xc|-1/3 for X →;Xc. When the transition point is absolute zero on the temperature axis T, the temperature dependence of the characteristic length, the specific heat and the thermal conductivity is of the form T-1/3, T and T7/3, respectively, for T →0.
Quantum mechanics traditionally asserts that quantum phase is inherently relative, observable solely as phase differences between distinct quantum states or modes, such as Delta phi equals phi_1 minus phi_2. This foundational tenet originates from the U(1) gauge invariance governing quantum systems, which dictates that global phase rotations produce no physical consequences for local measurements. In this paper, we propose the Absolute Quantum Phase Benchmark (AQPB) framework, a novel theoretical architecture that challenges this strict relativism by constructing a multi-layer entangled reference network. Through this network, we define an absolute phase formulation given by phi_abs equals phi minus Phi_network, designed to investigate whether an independent, non-trivial residual quantum phase exists beyond traditional local reference frames. We establish the mathematical foundations governing these multi-layer entangled structures, formulate the residual extraction protocols via higher-order moment analysis, and examine the profound implications that a validated absolute phase benchmark would hold for fundamental quantum measurement theory, macroscopic quantum phenomena, and modern gauge theories.