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Minimum measurement uncertainty in quantum systems subject to high energy fluctuations
Full text linkThe stochastic generalization of the Madelung quantum hydrodynamics incorporates the fluctuations of the mass density into quantum equations induced by the gravitational background noise, a form of dark energy,. This model successfully addresses key aspects of quantum to classical transition through the definition of quantum potential length of interaction in addition to the De Broglie length, beyond which coherent quantum behavior and wavefunction evolution is perturbed or even deeply modified. The stochastic quantum hydrodynamic model emphasizes that an external environment is unnecessary, asserting that the stochastic behavior leading to wave-function collapse and macroscopic classical behavior with the Einstein realism can be an inherent property of physics in a spacetime with fluctuating metrics. The theory establishes a coherent link between the uncertainty principle and the constancy of light speed, aligning seamlessly with finite information transmission speed. Within quantum mechanics submitted to fluctuations, the stochastic quantum hydrodynamic model derives the indeterminacy relation between energy and time, offering insights into measurement processes impossible within a finite time interval in a truly quantum global system. The model offers also how the uncertainty relations modify themselves in an open quantum system submitted to fluctuations offering the possibility of describing how quantum mechanics can modify itself in nuclear and elementary particle physics up to the behavior of high energy black hole states. The self-consistency of the model lies in its ability to describe the dynamics of wavefunction collapse and the measure process within its mathematical structure. Additionally, the theory resolves the Einstein determinism and the pre-existing reality problem by showing that large-scale systems naturally self-decay into decoherent classical states stable in time without observer or measuring apparatus
Problematic aspects of 20-th century antiparticles and their apparent resolution via isodual mathematics
No full textIn this paper, we recall Dirac’s negative energy antiparticles, their compati- bility with particle-antiparticle annihilation into light and their lack of com- patibility with special relativity as well as causality laws. We then recall the 20th century positive energy antiparticles, their compatibility with special relativity and causality laws but their incompatibility with annihilation into light, with ensuing problematic aspects for a true antimatter character of an- tiprotons, anti-Hydrogen atoms and related gravity tests. We then review the isodual branch of hadronic mechanics whose isodual theory of antimat- ter: 1) Represents Dirac’s negative energy antiparticles without causality problems. 2) Admits special and general relativities due to the invariance of quantum axioms under the isoidual map. 3) Implies matter-antimatter anti- gravity at all levels. 4) Predicts the existence of the negative energy antipho- ton. 5) Is compatible with existing experimental evidence on antiparticles. We suggest the conduction of resolutory tests on the gravity of well estasb- lished antipartices, such as the positrons in horizontal flight in a supercooled vacuum tube. We conclude with the indication of intriguing open problems in antimatter, such as the possible expulsion of antiphotons by black holes following internal particle-antiparticle creation and annihilation
Matematica e Retorica a Roma: una lezione di geometria piana nell’Institutio oratoria di Quintiliano (Mathematics and Rhetoric in Rome: A Lesson in Plane Geometry in Quintilian's Institutio Oratoria)
Full text linkSuntoPrendendo in esame quanto il celebre maestro di retorica Marco Fabio Quintiliano (35 d.C. ca - 100 d.C. ca) scrive in età flavia nella sua Institutio oratoria a proposito dell’importanza dello studio della Matematica nella formazione di base del futuro perfetto oratore romano, si intende approfondire in particolare una porzione del lungo passo presente nel I libro (I 10, 34-49), nello specifico i §§ 39-45. In essi l’autore latino, partendo dall’affermazione che la geometria, non meno dell’aritmetica, con il suo procedimento razionale smaschera ciò che, pur apparendo verisimile, in realtà è falso, inserisce in funzione esemplificativa una vera e propria lezione di geometria piana sul problema dell’isoperimetria. Lo scopo dell’autore è di fornire una prova dell’utilità della geometria per educare a un uso corretto dell’ars dicendi.Keywords: Quintiliano; retorica; isoperimetria. AbstractExamining what the famous rhetoric teacher Marcus Fabius Quintilian (ca. 35 CE – ca. 100 CE) writes during the Flavian period in his Institutio Oratoria about the importance of studying mathematics as part of the foundational education for the future perfect Roman orator, this paper focuses on a specific section of the long passage found in Book I (I 10, 34-49), particularly §§ 39-45. In this section, the Latin author, starting from the assertion that geometry, no less than arithmetic, with its rational method, reveals what may appear plausible but is actually false, includes a true lesson in plane geometry on the problem of isoperimetry. The author's goal is to demonstrate the utility of geometry in educating one to make proper use of the ars dicendi (art of speaking).Keywords: Quintilian; rhetoric; isoperimetry
Status Connectivity Indices of Middle graph
Full text linkTopological index is sometimes also known as graph theoretic index, is a numerical invariant of a graph, the topological indices are classified on degree and distance based concepts. The status σ(u) of a vertex u ∈ V (G) is defined as the sum of its distances between each other vertex in V(G) of the graph G. Ramane and Yalnaik defined the distance based topological indices such as first and second status connectivity indices. In this article bounds for the first and second status connectivity indices of middle graph of a graph are established and further status connectivity indices of middle graph of certain graphs are computed
Common fixed points for two pairs of selfmaps satisfying certain contraction condition in -metric spaces
Full text linkThis study introduces generalized contraction for two pairs of selfmaps in complete -metric spaces, and it then establishes the existence of common fixed points under the presumptions that these two pairs of maps are weakly compatible and satisfy the condition for generalized contraction. A sequence of selfmaps is added as an extension of the same. Additionally, we demonstrate the same using various hypotheses on two pairs of selfmaps that satisfy the -(E.A)-property. Some of the conclusions in the literature are extended /generalized to two pairs of self maps by our theorems
La natura della propria realtà. Her di Spike Jonze (The Nature of one’s own Reality. Her by Spike Jonze)
Full text linkSuntoL’obiettivo di questo studio è di riflettere su alcune questioni che ruotano intorno alla rappresentazione dell’Intelligenza artificiale, e che riguardano l’impatto della tecnologia sulla sfera esistenziale e sulla condizione umana. In questo quadro mi soffermerò, attraverso un close reading, sul film Her di Spike Jonze, analizzandone in particolare i dialoghi, con l’intento di evidenziare anche la presenza di quei fili che tracciano una continuità con le questioni poste da Alan Turing nel celebre articolo “Computing Machinery and Intelligence” pubblicato sulla rivista Mind nel 1950. Se la domanda al centro dello studio di Turing è Can Machines Think?, e viene ripresa in seguito da Asimov e Dick con la variante Can Machines Lie? , nel film di Spike Jonze la declinazione più stringente dell’interrogativo è Can Machines Feel?Parole chiave: Intelligenza artificiale; solitudine; emozioni; reale/virtuale; modi di amare; trascendenza.AbstractThe purpose of this study is to tackle some of the issues that revolve around the representation of Artificial Intelligence and that concern the impact of technology on the existential sphere and the human condition. Within this framework, I will focus on Spike Jonze’s film Her, in particular through a close reading of its dialogues. The aim is also to highlight the presence of threads tracing a continuity with the issues raised by Alan Turing in the famous article “Computing Machinery and Intelligence” published in the journal Mind in 1950. If the question at the heart of Turing’s study is ‘Can Machines Think?’ – later turned into ‘Can Machines Lie?’ in Asimov and Dick’s variant – in Spike Jonze’s film the point at issue becomes ‘Can Machines Feel?’
Logic as an internal organisation of language
Full text linkContemporary semantic description of logic is based on the ontology of all possible interpretations, an insufficiently clear metaphysical concept. In this article, logic is described as the internal organization of language. Logical concepts -- logical constants, logical truths, and logical consequence -- are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language
Strategic Timing in Financial Markets: Real Options Analysis of American Options
Full text linkThis paper delves into the nuanced realm of option pricing, focusing specifically on American call and put options within the framework of real options analysis. Traditional models often struggle to account for the complex decision-making process inherent in American options due to their early exercise feature. Leveraging the flexibility offered by real options methodology, this paper explores the optimal stopping time, a critical determinant in option pricing. Through a rigorous analytical approach and Monte Carlo simulations, we unveil explicit expressions for the optimal stopping time and option values. By bridging theory with practical application, this research offers valuable insights into the dynamics of American options and their pricing in real-world financial markets
Lo scandalo dell'incommensurabilità tra α ́λογος e α ́ρρητος (The scandal of incommensurability between α ́λογος e α ́ρρητος)
No full textIl presente lavoro intende ricostruire il percorso storico-epistemologico che ha condotto, nell’antichità, alla scoperta dell’esistenza delle grandezze incommensurabili.Non si sa con esattezza quando e come sia stata fatta tale importante scoperta e anche tra i commentatori antichi la questione sembra che abbia dato origine a discussioni e congetture varie; ancora oggi si può affermare che nell’ambito della storia della matematica il dibattito sia ancora aperto. È comunque fuori di dubbio che la scoperta sia stata fatta in seno agli sviluppi della matematica greca.This paper seeks to reconstruct the historical-epistemological path that led, in antiquity, to the discovery of the existence of incommensurable quantities.It is not known exactly when and how this important discovery was made; however, there is no doubt that the discovery was made within the developments of Greek mathematics
Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction
Full text linkBanach contraction principle behaves as a mathematical tool to solve various practical problems arising during mathematical formulation of many theoretical problems. In present work, the existence of a unique common fixed point for pairs of minimal commutative mappings is discussed, which satisfy a generalized (ψ, φ)−weak contraction involving cubic terms of distance functions. Examples are given in support of the obtained results and as an application the existence of solution of system of certain functional equations arising in dynamic programming is discussed