Physical microscopic free‐choice model in the framework of a Darwinian approach to quantum mechanics

Baladrón, Carlos

doi:10.1002/prop.201600052

Cited by 5 publications

(12 citation statements)

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“…The theory admits a simple model that characterizes the entanglement between two subsystems as the mutual exchange of randomizers ( , ), programs ( , ) -with their respective anticipation modules ( , )--and wave functions ( , ). In this way, both subsystems can anticipate not only the behavior of their corresponding surrounding systems, but also that of the environment of its partner entangled subsystem (Baladrón, 2016) -see the Appendix for a deepest discussion on anticipation in the present theory--. In addition, entanglement can be considered a natural phenomenon in this theory, a consequence of the tendency to increase the complexity, and therefore, in a certain sense, an experimental support to the theory.…”

Section: Quantum Behaviormentioning

confidence: 98%

Outline of a unified Darwinian evolutionary theory for physical and biological systems

Baladrón

Khrennikov

2017

Progress in Biophysics and Molecular Biology

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The scheme of a unified Darwinian evolutionary theory for physical and biological systems is described. Every physical system is methodologically endowed with a classical information processor what turns every system into an agent being also susceptible to evolution. Biological systems retain this structure as natural extensions of physical systems from which they are built up. Optimization of information flows turns out to be the key element to study the possible emergence of quantum behavior and the unified Darwinian description of physical and biological systems. The Darwinian natural selection scheme is completed by the Lamarckian component in the form of the anticipation of states of surrounding bio-physical systems.Keywords: quantum information; adaptive dynamics; quantum biological information; quantum mechanical foundations; Darwinian evolution; information theory. 1.Introduction.There are certain frameworks, like universal Darwinism (Dawkins,1983) or generalized Darwinism (Aldrich, 2008), that apply the essence of Darwinism (evolution under natural selection of systems possessing the properties of variation, selection and retention) to different domains of knowledge. Darwinism has been also applied in physics as a possible mechanism explaining different fundamental problems (Smolin, 2006, Zurek, 2009. In this article a theory in progress (Baladrón, 2010(Baladrón, , 2014Baladrón and Khrennikov, 2016) is reviewed whose aim is to explore the possibility of unifying Darwinism for the physical and the biological realms. In a certain sense, it can be considered an extension of Darwinism to the physical domain, but at the same time, in a deeper level, a unification of the physical and biological descriptions under a generalized Darwinian perspective in which information would play a central role applied to the specialized physical and biological domains. In the end, biological systems are built with matter. Therefore, biological systems must also comply with physical laws, and a connection between matter and life is already established in the physical realm. However, might there be a deeper connection? The function of life is to continue to exist, in a constantly changing environment (Eigen, 2013;Hill and Nowak, 2014). Could this be also asserted for the function of matter from the perspective of quantum mechanics? Thus, the question arises as to whether Darwinism could be a unifying approach for the description of matter and life under the overarching framework of information.This theory studies the possibility of generating implementing quantumlike behavior in classical dynamical physical systems that are methodologically endowed with a probabilistic classical Turing machine (see Encyclopedia of Mathematics, 2013. Turing machine), i.e. basically an information processor plus a random number generator -for biological systems that will be explicitly considered in Section 3 the information processor would be the network of the processors associated to their physical constituents. 1 Every physical sy...

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Section: Quantum Behaviormentioning

confidence: 98%

Outline of a unified Darwinian evolutionary theory for physical and biological systems

Baladrón

Khrennikov

2017

Progress in Biophysics and Molecular Biology

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“…Bearing this in mind, we characterize in DAQM [21][22][23][24][25][26] a fundamental physical system 𝑖 as a particle of mass 𝑚 𝑖 and position 𝑿 𝑖 (𝑡) in physical space (see Figure 2). Every particle is methodologically supplemented with a classical Turing machine defined on an information space where a program 𝑃 𝑖 , which includes an anticipation module or subroutine 𝐴 𝑖 , and a random number generator 𝑅 𝑖 are also stored.…”

Section: Information-theoretic Model For a Particle In Daqmmentioning

confidence: 99%

“…5. Generation of the anticipation module 𝐴 𝑖 and the program 𝑃 𝑖 in the information space of a particle in DAQM The characterization of a fundamental particle in DAQM [21][22][23][24][25][26] potentially endows these particles with the defining properties of information-theoretic Darwinian systems whose populations are then susceptible of evolution under natural selection 9 . It is assumed that at time 𝑡 = 0 there is a distribution of particles that are exclusively governed by their respective randomisers.…”

Section: Information-theoretic Model For a Particle In Daqmmentioning

confidence: 99%

“…In the present article, it is analysed the possibility of simulating D-CTCs in the framework of an information-theoretic Darwinian approach to quantum mechanics (DAQM) [21][22][23][24][25][26] and its implication for the progress in the understanding of the foundations of quantum mechanics. There are two specific concepts in this approach that play a central role in the theory.…”

Section: Introductionmentioning

confidence: 99%

“…See Ref [21][22][23][24][25][26]. for discussions on the deduction of the quantum mechanical postulates in DAQM.Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 13 January 2022…”

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Simulation of Closed Timelike Curves in the Framework of an Information-Theoretic Darwinian Approach to Quantum Mechanics

Baladrón¹,

Khrennikov²

2022

Preprint

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Closed timelike curves (CTCs), non-intuitive theoretical solutions of general relativity field equations can be modelled in quantum mechanics in a way, known as Deutsch-CTCs, to circumvent one of their most paradoxical implications, namely, the so-called grandfather paradox. An outstanding theoretical result of this model is the demonstration that in the presence of a Deutsch-CTC a classical computer would be computationally equivalent to a quantum computer. In the present study, the possible implications of such a striking result for the foundations of quantum mechanics and the connections between classicality and quantumness are explored. To this purpose, a model for fundamental particles that interact in physical space exchanging carriers of momentum and energy is considered. Every particle is then supplemented with an information space in which a probabilistic classical Turing machine is stored. It is analysed whether, through the action of Darwinian evolution, both a classical algorithm coding the rules of quantum mechanics and an anticipation module might plausibly be developed on the information space from initial random behaviour. The simulation of a CTC on the information space of the particle by means of the anticipation module would imply that fundamental particles, which do not possess direct intrinsic quantum features from first principles in this information-theoretic Darwinian approach, could however generate quantum emergent behaviour in real time as a consequence of Darwinian evolution acting on information-theoretic physical systems.

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At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics

Baladrón

Khrennikov

2018

Quantum Foundations, Probability and Information

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Physical microscopic free‐choice model in the framework of a Darwinian approach to quantum mechanics

Cited by 5 publications

References 24 publications

Outline of a unified Darwinian evolutionary theory for physical and biological systems

Outline of a unified Darwinian evolutionary theory for physical and biological systems

Simulation of Closed Timelike Curves in the Framework of an Information-Theoretic Darwinian Approach to Quantum Mechanics

At the Crossroads of Three Seemingly Divergent Approaches to Quantum Mechanics

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