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AIP conference proceedings

Retrocausation and the Thermodynamic Arrow of Time

Daniel P. Sheehan

Published Jan 1, 2006• 6 citations
Publisher

Abstract

The thermodynamic arrow of time is directed by the second law of thermodynamics. In the last ten years, over two dozen theoretical challenges to the second law, many of them laboratory testable, have cast serious doubt on the law’s continued universality. In this paper we review a representative challenge and consider the possibility that the thermodynamic arrow might be reversed on local or global scales. Experiments are proposed to test the connections between retrocausation and a reversed thermodynamic arrow.

DOI
10.1063/1.2388750

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The thermodynamic arrow of time is directed by the second law of thermodynamics. In the last ten years, over two dozen theoretical challenges to the second law, many of them laboratory testable, have cast serious doubt on the law’s continued universality. In this paper we review a representative challenge and consider the possibility that the thermodynamic arrow might be reversed on local or global scales. Experiments are proposed to test the connections between retrocausation and a reversed thermodynamic arrow.
This work investigates the fundamental connection between quantum mechanics and thermodynamics through the concept of the arrow of time. While the second law of thermodynamics identifies the arrow of time with the monotonic increase of entropy in isolated systems, closed quantum systems evolve unitarily and conserve von Neumann entropy, making the origin of irreversibility less apparent. Here we establish a no-go theorem proving that correlations in unknown states of closed quantum systems cannot be universally removed by any physical operation. This result demonstrates that correlation generation is inherently irreversible, providing a microscopic and universal basis for the arrow of time. In thermodynamic settings, this irreversibility ensures that heat flows spontaneously from hotter to colder subsystems, reproducing the Clausius formulation of the second law. More generally, the irreversible growth of correlations explains entropy increase, the approach to equilibrium, and decoherence as observable manifestations of the same principle. Our findings ground a quantum-mechanical foundation for the second law of thermodynamics and demonstrate the universality of the arrow of time.
Abstract Microscopic physical laws are time-symmetric, hence, a priori there exists no preferential temporal direction. However, the second law of thermodynamics allows one to associate the “forward” temporal direction to a positive variation of the total entropy produced in a thermodynamic process, and a negative variation with its “time-reversal” counterpart. This definition of a temporal axis is normally considered to apply in both classical and quantum contexts. Yet, quantum physics admits also superpositions between forward and time-reversal processes, whereby the thermodynamic arrow of time becomes quantum-mechanically undefined. In this work, we demonstrate that a definite thermodynamic time’s arrow can be restored by a quantum measurement of entropy production, which effectively projects such superpositions onto the forward (time-reversal) time-direction when large positive (negative) values are measured. Finally, for small values (of the order of plus or minus one), the amplitudes of forward and time-reversal processes can interfere, giving rise to entropy-production distributions featuring a more or less reversible process than either of the two components individually, or any classical mixture thereof.
The origin of the macroscopic arrow of time remains one of the most profound puzzles in theoretical physics, traditionally tied to the monotonic increase of total entropy dictated by the second law of thermodynamics. In this work, we propose and rigorously analyze the concept of the Quantum Thermodynamic Arrow Inverter (QTAI), a theoretical framework designed within open quantum systems where a local subsystem can exhibit a transient or sustained decrease in local entropy, characterized mathematically by d S_sub / dt < 0, while the global composite system strictly satisfies the global second law of thermodynamics, given by d S_total / dt >= 0. Rather than focusing merely on conventional cooling or refrigeration cycles, QTAI investigates whether the thermodynamic arrow of time can be dynamically and non-trivially redistributed across entangled and correlated quantum sub-degrees of freedom. By leveraging non-Markovian system-environment interactions, quantum coherence, and information-theoretic resource allocation, we demonstrate that different subsystems can effectively experience distinct local temporal directions or asymmetric thermodynamic aging. This paradigm introduces the Arrow of Time Redistribution as a fundamental principle, potentially bridging quantum information theory, open system dynamics, and the foundational nature of time itself.
Uncovering the origin of the arrow of time remains a fundamental scientific challenge. Within the framework of statistical physics, this problem was inextricably associated with the second law of thermodynamics, which declares that entropy growth proceeds from the system's entanglement with the environment. It remains to be seen, however, whether the irreversibility of time is a fundamental law of nature or whether, on the contrary, it might be circumvented. Here we show that, while in nature the complex conjugation needed for time reversal is exponentially improbable, one can design a quantum algorithm that includes complex conjugation and thus reverses a given quantum state. Using this algorithm on an IBM quantum computer enables us to experimentally demonstrate a backward time dynamics for an electron scattered on a two-level impurity.
Uncovering the origin of the "arrow of time" remains a fundamental scientific challenge. Within the framework of statistical physics, this problem was inextricably associated with the Second Law of Thermodynamics, which declares that entropy growth proceeds from the system's entanglement with the environment. This poses a question of whether it is possible to develop protocols for circumventing the irreversibility of time and if so to practically implement these protocols. Here we show that, while in nature the complex conjugation needed for time reversal may appear exponentially improbable, one can design a quantum algorithm that includes complex conjugation and thus reverses a given quantum state. Using this algorithm on an IBM quantum computer enables us to experimentally demonstrate a backward time dynamics for an electron scattered on a two-level impurity.
The modern classical statistical physics, thermodynamics, quantum mechanics and gravity theory are developed and well-known theories. The described theories are developed and well studied for a long time. Nevertheless, it contains a number of paradoxes. It forces many scientists to doubt internal consistency of these theories. However, the given paradoxes can be resolved within the framework of the existing physics, without introduction of new laws. Further, in this paper we discuss the paradoxes underlying classical statistical physics, thermodynamics, quantum mechanics, and non-quantum and quantum gravities. We suggest the approaches to solution of these paradoxes on basis universal arrow of time. The first one relies on the influence of the external observer (environment), which disrupts the correlations in the system and results in time arrows alignment. The basis of the second one is the limits of self-knowledge of the system in case of the observed system; the external observer and the environment are included in the considered system. We introduce the concepts of observable dynamics, ideal dynamics, and unpredictable dynamics. We contemplate the phenomenon of complex (living) systems from the point of view of these dynamics. Perspectives of practical use of Unpredictable systems for artificial intellect are considered. c Chapter 1. The Universal Arrow of Time: Classical Mechanics. Abstract: Solution of paradox for the entropy increase in reversible systems. Statistical physics cannot explain why the thermodynamic time arrow does exist un- less very special and so it postulates unnatural initial conditions. However, we are ready to state that statistical physics is able to explain why the thermodynamic time arrow is