Action Duality: A Constructive Principle for Quantum Foundations
نویسندگان
چکیده
An analysis of the path integral approach to quantum theory motivates the hypothesis that two experiments with the same classical action should have dual ontological descriptions. If correct, this hypothesis would not only constrain realistic interpretations of quantum theory, but would also act as a constructive principle, allowing any realistic model of one experiment to generate a corresponding model for its action-dual. Two pairs of action-dual experiments are presented, including one experiment that violates the Bell inequality and yet is action-dual to a single particle. The implications generally support retrodictive and retrocausal interpretations.
منابع مشابه
wave-paticle duality in quantum gravity
This talk presents: (a) A quantum-mechanically induced violation of the principle of equivalence, and (b) Gravitationally-induced modification to the wave particle duality. In this context I note that the agreement between the predictions of general relativity and observations of the energy loss due to gravitational waves emitted by binary pulsars is just as impressive as the agreement between ...
متن کاملEntropic uncertainty relations and their applications
Heisenberg’s uncertainty principle forms a fundamental element of quantum mechanics. Uncertainty relations in terms of entropies were initially proposed to deal with conceptual shortcomings in the original formulation of the uncertainty principle and, hence, play an important role in quantum foundations. More recently, entropic uncertainty relations have emerged as the central ingredient in the...
متن کاملMissing Link Between Probability Theory and Quantum Mechanics: the Riesz-Fejer Theorem
Quantum mechanics is spectacularly successful on the technical level but the meaning of its rules remains shrouded in mystery even more than seventy years after its inception. Quantum-mechanical probabilities are often considered as fundamentally different from classical probabilities, in disregard of the work of Cox (1946) and of Schrödinger (1947) on the foundations of probability theory. One...
متن کاملSemiclassical Expansions, the Strong Quantum Limit, and Duality
We show how to complement Feynman’s exponential of the action so that it exhibits a Z2 duality symmetry. The latter illustrates a relativity principle for the notion of quantum versus classical.
متن کاملFuzzy Linear Programming and its Application for a Constructive Proof of a Fuzzy Version of Farkas Lemma
The main aim of this paper is to deal with a fuzzy version of Farkas lemma involving trapezoidal fuzzy numbers. In turns to that the fuzzy linear programming and duality theory on these problems can be used to provide a constructive proof for Farkas lemma. Keywords Farkas Lemma, Fuzzy Linear Programming, Duality, Ranking Functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Symmetry
دوره 3 شماره
صفحات -
تاریخ انتشار 2011