The ultimate tactics of self-referential systems

Mathematics is usually regarded as a kind of language. The essential behavior of physical phenomena can be expressed by mathematical laws, providing descriptions and predictions. In the present essay I argue that, although mathematics can be seen, in a first approach, as a language, it goes beyond this concept. I conjecture that mathematics presents two extreme features, denoted here by {\sl irreducibility} and {\sl insaturation}, representing delimiters for self-referentiality. These features are then related to physical laws by realizing that nature is a self-referential system obeying bounds similar to those respected by mathematics. Self-referential systems can only be autonomous entities by a kind of metabolism that provides and sustains such an autonomy. A rational mind, able of consciousness, is a manifestation of the self-referentiality of the Universe. Hence mathematics is here proposed to go beyond language by actually representing the most fundamental existence condition for self-referentiality. This idea is synthesized in the form of a principle, namely, that {\sl mathematics is the ultimate tactics of self-referential systems to mimic themselves}. That is, well beyond an effective language to express the physical world, mathematics uncovers a deep manifestation of the autonomous nature of the Universe, wherein the human brain is but an instance.Comment: 9 pages. This essay received the 4th. Prize in the 2015 FQXi essay contest: "Trick or Truth: the Mysterious Connection Between Physics and Mathematics

Conspiracy theories as part of history: The role of societal crisis situations

In the present contribution we examine the link between societal crisis situations and belief in conspiracy theories. Contrary to common assumptions, belief in conspiracy theories has been prevalent throughout human history. We first illustrate historical incidents suggesting that societal crisis situations—defined as impactful and rapid societal change that calls established power structures, norms of conduct, or even the existence of specific people or groups, into question —have stimulated belief in conspiracy theories. We then review the psychological literature to explain why this is the case. Evidence suggests that the aversive feelings that people experience when in crisis—fear, uncertainty, the feeling of being out of control—stimulate a motivation to make sense of the situation, increasing the likelihood of perceiving conspiracies in social situations. We then explain that after being formed, conspiracy theories can become historical narratives that may spread through cultural transmission. We conclude that conspiracy theories originate particularly in crisis situations, and may form the basis for how people subsequently remember and mentally represent a historical event

Nucleon Structure and Parity-Violating Electron Scattering

We review the area of strange quark contributions to nucleon structure. In particular, we focus on current models of strange quark vector currents in the nucleon and the associated parity-violating elastic electron scattering experiments from which vector- and axial-vector currents are extractedComment: 40 pages including 7 figures; review article to be published in Int. J. Mod. Phys.

Quantum Hall states for α=1/3\alpha = 1/3 in optical lattices

We examine the quantum Hall (QH) states of the optical lattices with square geometry using Bose-Hubbard model (BHM) in presence of artificial gauge field. In particular, we focus on the QH states for the flux value of $\alpha = 1/3$. For this, we use cluster Gutzwiller mean-field (CGMF) theory with cluster sizes of $3\times 2$ and $3\times 3$. We obtain QH states at fillings $\nu = 1/2, 1, 3/2, 2, 5/2$ with the cluster size $3\times 2$ and $\nu = 1/3, 2/3, 1, 4/3, 5/3, 2, 7/3, 8/3$ with $3\times 3$ cluster. Our results show that the geometry of the QH states are sensitive to the cluster sizes. For all the values of $\nu$, the competing superfluid (SF) state is the ground state and QH state is the metastable state.Comment: 6 pages, 4 figures. This is a pre-submission version of the manuscript. The published version is available online in "Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons, Springer Proceedings in Physics 230, pp 211--221 (2019)". The final authenticated version is available online at : https://doi.org/10.1007/978-981-13-9969-5_2

Making sense of theory construction: Metaphor and disciplined imagination

This article draws upon Karl Weick’s insights into the nature of theorizing, and extends and refines his conception of theory construction as ‘disciplined imagination’. An essential ingredient in Weick’s ‘disciplined imagination’ involves his assertion that thought trials and theoretical representations typically involve a transfer from one epistemic sphere to another through the creative use of metaphor. The article follows up on this point and draws out how metaphor works, how processes of metaphorical imagination partake in theory construction, and how insightful metaphors and the theoretical representations that result from them can be selected. The paper also includes a discussion of metaphors-in-use (organizational improvisation as jazz and organizational behavior as collective mind) which Weick proposed in his own writings. The whole purpose of this exercise is to theoretically augment and ground the concept of ‘disciplined imagination’, and in particular to refine the nature of thought trials and selection within it. In doing so, we also aim to provide pointers for the use of metaphorical imagination in the process of theory construction

Understanding the rift, the (still) uneasy bedfellows of History and Organization Studies

Although the use of History has become increasingly discussed and more widely applied within Organization Studies (OS), its relevance for OS still remains far from centrally accepted. This article historicizes the relationship between Sociology and History as a means of better understanding the tensions, perceived and real, that exist between History and Organization Studies. In particular we analyse three differences of epistemological standpoint (method, objectivity and usefulness) that are commonly seen as the foundation stones to incompatibility. Perhaps surprisingly for an analysis of apparent disciplinary differences, we find that these distinctions in terms of approach, once closely examined, are rarely clear-cut and historians and OS scholars are frequently closer in intention and method than they are distant. However, despite their large intersection of interests, we argue that important distinctions between the two fields should be acknowledged. Our contribution to the debates over the need for more historical approaches within OS therefore centrally rests on abandoning aspirations for fully integrative models of working together, in favour of cooperative modes that concede the fields’ differences. This subtle shift of emphasis will, we believe, greatly benefit OS scholars who hope to include historical perspectives in their work

Why Did Memetics Fail? Comparative Case Study

Although the theory of memetics appeared highly promising at the beginning, it is no longer considered a scientific theory among contemporary evolutionary scholars. This study aims to compare the genealogy of memetics with the historically more successful gene-culture coevolution theory. This comparison is made in order to determine the constraints that emerged during the internal development of the memetics theory that could bias memeticists to work on the ontology of meme units as opposed to hypotheses testing, which was adopted by the gene-culture scholars. I trace this problem back to the diachronic development of memetics to its origin in the gene-centered anti-group-selectionist argument of George C. Williams and Richard Dawkins. The strict adoption of this argument predisposed memeticists with the a priori idea that there is no evolution without discrete units of selection, which in turn, made them dependent on the principal separation of biological and memetic fitness. This separation thus prevented memeticists from accepting an adaptationist view of culture which, on the contrary, allowed gene-culture theorists to attract more scientists to test the hypotheses, creating the historical success of the gene-culture coevolution theory

Analogy making and the structure of implied volatility skew

An analogy based option pricing model is put forward. If option prices are determined in accordance with the analogy model, and the Black Scholes model is used to back-out implied volatility, then the implied volatility skew arises, which flattens as time to expiry increases. The analogy based stochastic volatility and the analogy based jump diffusion models are also put forward. The analogy based stochastic volatility model generates the skew even when there is no correlation between the stock price and volatility processes, whereas, the analogy based jump diffusion model does not require asymmetric jumps for generating the skew

Fluid concepts and creative analogies: computer models of the fundamental mechanisms of thought

Where does meaning enter the picture in artificial intelligence? How can we say that a machine possesses understanding? Where, and how, does such understanding happen? These are among the deepest and hardest questions faced by the field of artificial intelligence, which, as many claim, has not yielded much about them so far. But some results may be just around the corner to some, and that group includes Douglas Hofstadter and the Fluid Analogies Research Group. They have been developing some insightful analogy problem solving systems - based on the HEARSAY II speech understanding architecture - that really deserve notice. We review their recent book reporting on these systems here