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Algebraical Entropy and Arrow of Time [PDF]

Entropy, 2022
Usually, it is supposed that irreversibility of time appears only in macrophysics. Here, we attempt to introduce the microphysical arrow of time assuming that at a fundamental level nature could be non-associative.
Merab Gogberashvili
doaj   +2 more sources

Beyond the Arrow of Time: Can There Be a Relation between the Measurement of Entropy and Time? [PDF]

Proceedings, 2017
The general tendency of the entropy of an isolated to increase is considered to be directly linked to the direction of the flow of time. This raises the question whether a quantitative relation can be established such that a time interval can be measured
Ben Akih-Kumgeh
doaj   +2 more sources

Entropy, Information and Complexity or Which Aims the Arrow of Time? [PDF]

Entropy, 2015
In this article, we analyze the interrelationships among such notions as entropy, information, complexity, order and chaos and show using the theory of categories how to generalize the second law of thermodynamics as a law of increasing generalized ...
George E. Mikhailovsky, Alexander P. Levich   +1 more
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Temporal Asymmetry, Entropic Irreversibility, and Finite-Time Thermodynamics: From Parmenides–Einstein Time-Reversal Symmetry to the Heraclitan Entropic Arrow of Time [PDF]

Entropy, 2012
In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-
Wassim M. Haddad
doaj   +2 more sources

Complex Time Approach to the Hamiltonian and the Entropy Production of the Damped Harmonic Oscillator [PDF]

Entropy
The present work applies and extends the previously developed Quantitative Geometrical Thermodynamics (QGT) formalism to the derivation of a Hamiltonian for the damped harmonic oscillator (DHO) across all damping regimes.
Kyriaki-Evangelia Aslani
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Two Types of Temporal Symmetry in the Laws of Nature [PDF]

Entropy
This work explores the implications of assuming time symmetry and applying bridge-type, time-symmetric temporal boundary conditions to deterministic laws of nature with random components.
A. Y. Klimenko
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Gödel's Informational Residue: A Foundational Origin of Entropy and the Arrow of Time

This paper reframes Gödel’s incompleteness phenomena as part of a broader structure of irreversible information. It argues that every act of resolving uncertainty—whether in logic, scientific inquiry, or cognition—requires erasing alternative possibilities, and that erasure carries an objective thermodynamic cost.
Kruse, Christopher Grant
  +5 more sources

Relational Time: Redshift, Entropy, and the Arrow of Coherence from the Generative Kernel

Time, redshift, and entropy are derived directly from the Generative Kernel.Time is not fundamental; it is the parametrization of coherence evolution, Cosmological redshift emerges from global coherence decay, and entropy is the logarithm of domain volume, The arrow of time arises from the irreversibility of domain expansion under coherence ...
Svancara, Clinton
  +5 more sources

Entropy Maximization, Time Emergence, and Phase Transition [PDF]

Entropy
We survey developments in the use of entropy maximization for applying the Gibbs Canonical Ensemble to finite situations. Biological insights are invoked along with physical considerations.
Jonathan Smith
doaj   +2 more sources

Is Time’s Asymmetry Related to Irreversible Processes and the Second Law?

Entropy, 2023
In this article, we start by describing one of the most characteristic properties of time: “time can never decrease”. From this property, numerous authors have concluded that irreversible processes, that always proceed in one direction, must be related ...
Arieh Ben-Naim
doaj   +1 more source