Absolute Space Research Articles

Preserving Absolute Simultaneity with the Lorentz Transformation

In this work it is shown how absolute simultaneity of spatially distinct events can be established by means of a general criterion based on isotropically propagating signals and how it can be consistently preserved also when operating with Lorentz-like coordinate transformations between moving frames. The specific invariance properties of these transformations of coordinates are discussed, leading to a different interpretation of the physical meaning of the transformed variables with respect to their prevailing interpretation when associated with the Lorentz transformation. On these basis, the emission hypothesis of W. Ritz is then applied to justify the outcomes of the Fizeau experiment, thanks to the introduction of an additional hypothesis regarding the influence of turbulence on the refractive index of the moving fluid. Finally, a test case to investigate the validity of either the Galilean or the Relativistic velocity composition rule is presented. Such test relies on the aberration of the light coming from celestial objects due to the motion of the observer and on the analysis of the results obtained by applying the two different formulas to process the data of the observed positions, as measured in the moving frame, in order to determine the actual un-aberrated location of the source.

Schrodinger’s Narratives: Denis Diderot’s and Laurence Sterne’s Manipulations of Time and Space


 
 
 This article proposes connections between literature and science through the relatively recent scientific concept of chaos. I examine Laurence Sterne’s The Life and Opinions of Tristram Shandy, Gentleman and Denis Diderot’s Jacques the Fatalist and His Master to show how these authors contradict the scientific thinkers of their time by creating narrative structures that disrupt the normal flow of time and bend the typically absolute space between reader and fictional story. Though the physical books of Jacques and Tristram Shandy have a final page, the two authors leave it to their readers to finish the stories for themselves. The narrators of both novels interact with their readers, creating a space that allows their audience to fill in the narrator’s and author's blanks. In doing this, these texts become simultaneously complete and incomplete. Thus, a narrative styled similarly to the thought experiment of Schrodinger's cat is created. In this sense these novels can be perceived as precursors to scientific thought of the twentieth and twenty-first century.
 
 

Complex Behavior in the Dynamics of a Polymeric Biocomposite Material-"Liquid Wood". Experimental and Theoretical Aspects.

The purpose of the present paper is to analyze, both experimentally and theoretically, the behavior of the polymeric biocomposite generically known as “liquid wood”, trademarked as Arbofill. The experimental part refers to the mechanical performance in tension and compression, having as finality the possibility of using “liquid wood” as a material suitable for the rehabilitation of degraded wooden elements in civil structures (ex. use in historical buildings, monuments etc.). The theoretical part refers to computer simulations regarding the mechanical behavior of “liquid wood” as well as to a theoretical model in the paradigm of motion, which describes the same behavior. This model is based on the hypothesis that “liquid wood” can be assimilated, both structurally and functionally, to a multifractal object, situation in which its entities are described through continuous, non-differentiable curves. Then, descriptions of the behavior of “liquid wood”, both in the Schrödinger-type and in hydrodynamic-type representations at various scale resolutions, become operational. Since in the hydrodynamic-type representation, the constitutive law of “liquid wood” can be highlighted, several operational procedures (Ricatti-type gauge, differential geometry in absolute space etc.) will allow correlations between the present proposed model and the experimental data. The obtained results, both practical (81% bearing capacity in compression and 36% bearing capacity in tension, compared to control samples) and theoretical (validation of material performance in virtual environment simulations, stresses and strains correlations in a theoretical model) indicate that “liquid wood” could be used in the construction industry, as a potential rehabilitation material, but with more development clearly needed.

Left Ruins in Ethiopia: Imagining Otherwise Amid Necroepistemic Historiography

This essay uses the notion of necroepistemology to expose the killing of the other as executed by the neoliberal historiography in Ethiopia. Utilizing Fanonian negative dialectics, it critiques the ahistorical, immaterial, and reified object, as well as universal history, promoted by the official Ethiopian historiography’s absolute time, space, and matter. It does so to reveal the ways in which the enduring social questions and new imaginations are dismissed by this historiography as the work of the global-local left. To counterbalance this practice, I return to the 1974 Ethiopian socialist revolution and to the staging of Ethiopian socialism as a critical transnational rethinking of the human in the country. At the same time, attending to the everyday struggle of women performers in both the imperial and revolutionary spaces, the essay reminds us how the revolutionary practice, which had envisioned a new social human, ended up marking female performers’ bodies as dangerous for the socialist movement. Revealing the ways in which women performers collaborated with and fought against a male revolutionary figure, this essay ends with a call to respond to the current necroepistemic moment to draw attention to the historically vulnerable people who are dying in Ethiopia in the here and now.

Evolutionary Sequence of Spacetime and Intrinsic Spacetime and Associated Sequence of Geometries in Metric Force Fields I

Two classes of three-dimensional metric spaces are identified. They are the conventional three-dimensional metric space and a new ‘three-dimensional’ absolute intrinsic metric space. Whereas an initial flat conventional proper metric space IE′3 can transform into a curved three-dimensionalRiemannian metric space IM′3 without any of its dimension spanning the time dimension (or in the absence of the time dimension), in conventional Riemann geometry, an initial flat ‘three-dimensional’ absolute intrinsic metric space ∅IˆE3 (as a flat hyper-surface) along the horizontal, evolves into a curved ‘three-dimensional’ absolute intrinsic metric space ∅IˆM3, which is curved (as a curved hyper-surface) toward the absolute intrinsic metric time ‘dimension’ along the vertical, and it is identified as ‘three-dimensional’ absolute intrinsic Riemannian metric space. It invariantly projects a flat ‘three-dimensional’ absolute proper intrinsic metric space ∅IE′3ab along the horizontal, which is made manifested outwardly in flat ‘three-dimensional’ absolute proper metric space IE′3ab, overlying it, both as flat hyper-surfaces along the horizontal. The flat conventional three-dimensional relative proper metric space IE′3 and its underlying flat three-dimensional relative proper intrinsic metric space ∅IE′3 remain unchanged. The observers are located in IE′3. The projective ∅IE′3ab is imperceptibly embedded in ∅IE′3 and IE′3ab in IE′3. The corresponding absolute intrinsic metric time ‘dimension’ is not curved from its vertical position simultaneously with ‘three-dimensional’ absolute intrinsic metric space. The development of absolute intrinsic Riemannian geometry is commenced and the conclusion that the resulting geometry is more all-encompassing then the conventional Riemannian geometry on curved conventional metric space IM′3 only is reached.

Locke, Leibniz and the State Space

The chapter explores the relationship between Locke and Leibniz's account of space and how this impacts on their understanding of possibility, and particularly practical choices between possibilities within a modal space. Using Borges' short story 'Pierre Menard, author of the Quixote' it argues that Locke's acquiescence to absolute space severly restricts his account of the power to do things. Leibniz's retention of relative space permits a much richer account of possible, yet he binds these worlds together under a universal set of principles which are morally true in every possible world. He calls these morally impossible (prohibited), echoing the Scholastic language of repugnance. 'Menard' is employed to critique this resort to universality, before an alternative possible truth structure is sketched as a response to the 'self-evident' truths defended by Leibniz.

Ali Smith's and Olivia Laing's Fictions of Immediacy

Ali Smith's and Olivia Laing's Fictions of Immediacy

THE TOURISM ETHNIC SPACE AND ITS SYMBOLIC INTERFACES

This article discusses the touristic ethnic space in an indigenous community located in the metropolitan region of Manaus. The study is based on the ethnic perspective, as a historical construction of the identity of a specific group of people, a social group that has a different way of life from the urban world. The research purpose was to analyze the absolute, relative and relational space of a touristic indigenous community, pointing out the territorialities that were built from the touristic activity. The methodology was based on an exploratory study, and the geographic constituency was the Sahu-Apé community, in which it was possible to identify not only the functional dimension, but also its symbolic dimension within the space formed by a set of unique symbols of the ethnic group, compared to other groups. For Haesbaert (2004), these mastery constitute the identity and establish the ways in which relationships are built in indigenous societies based on their ancestors. As main results, it was found that the identity of the Sateré people is configured in its most important object in the tourist activity, and the physical and symbolic space is the tourist product that has been built over time.

Common-Sense Rejected by Physicists:

We propose a new integration of relativity and quantum mechanics (QM). Your cell phone or smart phone is a rich source of empirical information about relativity. It tells time based on a system called Coordinated Universal Time (UTC) which assumes absolute simultaneity: all observers in all inertial frames observe the same sequence of all events. You must choose whether to trust the time on your cell phone, or trust Einstein’s incompatible ideas about a space-time continuum. As concerns QM, the existence of “weirdness” means a mistake was made in QM’s starting assumptions. This article finds and corrects that mistake and presents for the first time, a quantum world free of all weirdness. There is another half to nature, previously unrecognized. It is devoid of energy and matter, namely zero-energy Elementary Waves which move within the medium of aether. We derive the linear wave PDE’s. There is evidence that Elementary Waves are in control of nature, despite their lack of energy. The existence of UFO’s (Unidentified Flying Objects) suggests that someone has learned how to control Elementary Waves. If we could learn from the UFO’s, we might acquire a decisive advantage in our battle against climate change.

Geography as a science of the earth’s surface founded on the third view of space

ABSTRACT The third or organismic view of space states that space is neither lifeless nor neutral, but a living structure capable of being more living or less living, thus different fundamentally from the first two mechanistic views of space: Newtonian absolute space and Leibnizian relational space. The living structure is defined as a physical and mathematical structure or simply characterized by the recurring notion (or inherent hierarchy) of far more small substructures than large ones. This paper seeks to lay out a new geography as a science of the Earth’s surface founded on the third view of space. The new geography aims not only to better understand geographic forms and processes but also – maybe more importantly – to make geographic space or the Earth’s surface to be living or more living. After introducing two fundamental laws of geography: Tobler’s law on spatial dependence (or homogeneity) and scaling law on spatial heterogeneity, we argue that these two laws are fundamental laws of living structure that favour statistics over exactitude, because the former (or statistics) tends to make a structure more living than the latter (or exactitude). We present the concept of living structure through some working examples and make it clear how a living structure differs from a non-living structure, under the organismic worldview that was first conceived by the British philosopher Alfred Whitehead (1861–1947). In order to make a structure or space living or more living, we illustrate two design principles – differentiation and adaptation – using two paintings and two city plans. The new geography is a science of living structure, dealing with a wide range of scales, from the smallest scale of ornaments on walls to the scale of the entire Earth’s surface.

The Leibnizian Lineage of Deleuze's Theory of theSpatium

This paper examines the Leibnizian influence in Deleuze's theory of the spatium. Leibniz's critique of Cartesian extension and Newtonian space leads him to a conception of space in terms of internal determination and internal difference. Space is thus understood as a structure of individual relations internal to substances. Making some Nietzschean corrections to Leibniz, Deleuze understands the spatium in terms of individuating differences instead of individual relations. Leibnizian space is thus transformed into a genetic space producing both extension (quantity) and quality.

PARANORMED SPACES OF ABSOLUTE LUCAS SUMMABLE SERIES AND MATRIX OPERATORS

The aim of this paper is to introduce the absolute series space $\left\vert \mathcal{L}^{\phi }(r,s)\right\vert (\mu )$ as the the set of all series summable by the absolute Lucas method, and to give its topological and algebraic structure such as $FK-$space, duals and Schauder basis. Also, certain matrix operators on this space are characterized.

Vector-valued Sobolev spaces based on Banach function spaces

It is known that there are several approaches to define a Sobolev class for Banach valued functions. We compare the usual definition via weak derivatives with the Reshetnyak–Sobolev space and with the Newtonian space; in particular, we provide sufficient conditions when all three agree. Also, we revise the difference quotient criterion and the property of Lipschitz mapping to preserve Sobolev space when it is acting as a superposition operator.

Comparing the performance and composition of tracking error constrained and unconstrained portfolios

Active portfolios subject to tracking error constraints are bound by an ellipse in absolute risk-return space, known as the constant tracking error frontier, where the absolute risk is the standard deviation of portfolio returns. Portfolios within this space are presented: Jorion’s (2003) portfolio, which lies on the frontier and has the same risk as the benchmark, and the maximum Sharpe ratio portfolio (also on the frontier and referred to as the constant tracking error constrained market portfolio in this paper). Using historical data from an emerging market (South Africa), the performance and composition of these portfolios are explored and compared with the traditional market portfolio (the maximum Sharpe portfolio on the efficient frontier). The results illustrate how these portfolios perform during bull and bear markets and provide an indication of the positions in assets and the amount of rebalancing required to maintain these portfolios: (i) Contrary to theory, the returns and Sharpe ratio of the traditional market portfolio are substantially worse than the constrained portfolios for extended periods of time; (ii) The constrained portfolios perform similarly and require less rebalancing; (iii) There is evidence for statistically significant correlations between the compositions of the traditional market portfolio and the constrained portfolios, and further research is recommended. This work may be used to install optimal risk-adjusted active investment strategies net of transaction costs.

Absolutes and n -H-closed spaces

In this paper the investigation of n -H-closed spaces that was started by Basile et al . (2019) is continued for every n ∈ ω, n ≥ 2. In particular, starting with the relationship between the absolute space PX of an arbitrary topological space X , reported by Ponomarev and Shapiro (1976) and introduced by Blaszczyk (1975, 1977), Ul'yanov (1975a,b) and Shapiro (1976), it is shown that the absolute PX is n -H-closed if and only if X is n -H-closed. For an arbitrary space X , a β-like extension (β for the Stone-Cech compactification) Y is constructed for the semiregularization PX(s) of the absolute PX such that Y is a compact, extremally disconnected, completely regular (but not necessarily Hausdorff) extension of PX(s) , and PX(s) is C* -embedded in Y . The definition of the Fomin extension σ X for a Hausdorff space X (Porter and Woods 1988) is extended to an arbitrary space X and σ X X is shown to be homeomorphic to the remainder Y PX(s) . A similar result is established when X is an n -Hausdorff space defined by Basile et al. (2019). Further, we give a cardinality bound for any n -Hausdorff space X and show that the inequality |X| ≤ 2^χ( X ) for an H-closed space X proved by Dow and Porter (1982) can be extended to n -H-closed spaces.

The Beginning of General Relativity

In this article, we briefly review the motivations behind general relativity. We first discuss the basics of classical physics, including the equations of motion and the field equations. Newtonian mechanics assumes absolute space and time, but this can be philosophically unnatural. Einstein constructed a general theory of classical physics with covariance for the general choice of coordinate systems. This theory is known as general relativity. Finally, we briefly mention how this theory is completed, how this theory is verified, and what can be the future of general relativity.

A comparative analysis of trajectory similarity measures

ABSTRACT Computing trajectory similarity is a fundamental operation in movement analytics, required in search, clustering, and classification of trajectories, for example. Yet the range of different but interrelated trajectory similarity measures can be bewildering for researchers and practitioners alike. This paper describes a systematic comparison and methodical exploration of trajectory similarity measures. Specifically, this paper compares five of the most important and commonly used similarity measures: dynamic time warping (DTW), edit distance (EDR), longest common subsequence (LCSS), discrete Fréchet distance (DFD), and Fréchet distance (FD). The paper begins with a thorough conceptual and theoretical comparison. This comparison highlights the similarities and differences between measures in connection with six different characteristics, including their handling of a relative versus absolute time and space, tolerance to outliers, and computational efficiency. The paper further reports on an empirical evaluation of similarity in trajectories with contrasting properties: data about constrained bus movements in a transportation network, and the unconstrained movements of wading birds in a coastal environment. A set of four experiments: a. creates a measurement baseline by comparing similarity measures to a single trajectory subjected to various transformations; b. explores the behavior of similarity measures on network-constrained bus trajectories, grouped based on spatial and on temporal similarity; c. assesses similarity with respect to known behavioral annotations (flight and foraging of oystercatchers); and d. compares bird and bus activity to examine whether they are distinguishable based solely on their movement patterns. The results show that in all instances both the absolute value and the ordering of similarity may be sensitive to the choice of measure. In general, all measures were more able to distinguish spatial differences in trajectories than temporal differences. The paper concludes with a high-level summary of advice and recommendations for selecting and using trajectory similarity measures in practice, with conclusions spanning our three complementary perspectives: conceptual, theoretical, and empirical.

Optical data implies a null simultaneity test theory parameter in rotating frames

The simultaneity framework describes the relativistic interaction of time with space. The two major proposed simultaneity frameworks are differential simultaneity, in which time is offset with distance in “moving” or rotating frames for each “stationary” observer, and absolute simultaneity, in which time is not offset with distance. We use the Mansouri and Sexl test theory to analyze the simultaneity framework in rotating frames in the absence of spacetime curvature. The Mansouri and Sexl test theory has four parameters. Three parameters describe relativistic effects. The fourth parameter, [Formula: see text], was described as a convention on clock synchronization. We show that [Formula: see text] is not a convention, but is instead a descriptor of the simultaneity framework whose value can be determined from the extent of anisotropy in the unidirectional one-way speed of light. In rotating frames, one-way light speed anisotropy is described by the Sagnac effect equation. We show that four published Sagnac equations form a relativistic series based on relativistic kinematics and simultaneity framework. Only the conventional Sagnac effect equation, and its associated isotropic two-way speed of light, is found to match high-resolution optical data. Using the conventional Sagnac effect equation, we show that [Formula: see text] has a null value in rotating frames, which implies absolute simultaneity. Introducing the empirical Mansouri and Sexl parameter values into the test theory equations generates the rotational form of the absolute Lorentz transformation, implying that this transformation accurately describes rotational relativistic effects.

Population-based identification of H α-excess sources in the Gaia DR2 and IPHAS catalogues

ABSTRACT We present a catalogue of point-like H α-excess sources in the Northern Galactic Plane. Our catalogue is created using a new technique that leverages astrometric and photomeric information from Gaia to select H α-bright outliers in the INT Photometric H α Survey of the Northern Galactic Plane (IPHAS), across the colour–absolute magnitude diagram. To mitigate the selection biases due to stellar population mixing and to extinction, the investigated objects are first partitioned with respect to their positions in the Gaia colour–absolute magnitude space, and Galactic coordinates space, respectively. The selection is then performed on both partition types independently. Two significance parameters are assigned to each target, one for each partition type. These represent a quantitative degree of confidence that the given source is a reliable H α-excess candidate, with reference to the other objects in the corresponding partition. Our catalogue provides two flags for each source, both indicating the significance level of the H α-excess. By analysing their intensity in the H α narrow band, 28 496 objects out of 7474 835 are identified as H α-excess candidates with a significance higher than 3. The completeness fraction of the H α outliers selection is between 3 and 5 per cent. The suggested 5σ conservative cut yields a purity fraction of 81.9 per cent.

Geography sculpts the future, or: escaping—and falling back into—the tyranny of absolute space

ABSTRACT This essay reviews developments in spatial theory since the 1960s to argue that any consideration of possible future worlds must begin from a fully dialectical, and fully materialist theory of space. Much critical social and cultural theory instead begins from as unexamined assumption of absolute space, which is deeply problematic theoretically and especially politically. By contrast, what is necessary is a theory capable of understanding not just that spaces are simultaneously absolute, relative, and relational, but how they are simultaneously absolute, relative, and relational. Fundamental building blocks of such a dialectical theory have been laid down by Henri Lefebvre, David Harvey, Doreen Massey, Neil Smith, and Cindi Katz (among many others), but the theory remains insufficiently materialist. A fully materialist, dialectical theory of space requires the re-introduction of landscape and its opposite, anti-landscape as the key mediating spatial forms. Without this, absolute space will continue its tyrannical reign, and the future geography sculpts one more of constraint than of possibility.