Matter

The goal of this note is to bring into wider attention the often neglected important work by Bertrand Russell on the foundations of physics published in the late 1920s. In particular, we emphasize how the book The Analysis of Matter can be considered the earliest systematic attempt to unify the modern quantum theory, just emerging by that time, with general relativity. More importantly, it is argued that the idea of what I call Russell space, introduced in Part III of that (...) book, is more fundamental than quantum theory, general relativity, and quantum gravity since the topological ordinal space proposed by Russell would naturally incorporate into its very fabric the emergent nature of spacetime by deploying event assemblages, and not spacetime or particles, as the fundamental building blocks of the world. (shrink)

I present a developmental account of Aristotle’s concept of hê hylê (usually translated “the matter”), focused the earliest developments. I begin by analyzing fragments of some lost early works and a chapter of the Organon, texts which indicate that early in his career Aristotle had not yet begun to use he hylê in a technical sense. Next, I examine Physics II 3, a chapter in which Aristotle conceives of he hylê not as a kind of cause in its own right, (...) but merely as an example of the so-called “out of which” cause : the material is the cause out of which an artifact is made. Next, I examine Physics II 7, a chapter in which Aristotle names "the material" as one of the four kinds of cause in its own right. But Aristotle’s model of "the material" remains the material out of which an artifact is made. (shrink)

The concept of quantum information is introduced as both normed superposition of two orthogonal sub-spaces of the separable complex Hilbert space and in-variance of Hamilton and Lagrange representation of any mechanical system. The base is the isomorphism of the standard introduction and the representation of a qubit to a 3D unit ball, in which two points are chosen. The separable complex Hilbert space is considered as the free variable of quantum information and any point in it (a wave function describing (...) a state of a quantum system) as its value as the bound variable. A qubit is equivalent to the generalization of ‘bit’ from the set of two equally probable alternatives to an infinite set of alternatives. Then, that Hilbert space is considered as a generalization of Peano arithmetic where any unit is substituted by a qubit and thus the set of natural number is mappable within any qubit as the complex internal structure of the unit or a different state of it. Thus, any mathematical structure being reducible to set theory is re-presentable as a set of wave functions and a subspace of the separable complex Hilbert space, and it can be identified as the category of all categories for any functor represents an operator transforming a set (or subspace) of the separable complex Hilbert space into another. Thus, category theory is isomorphic to the Hilbert-space representation of set theory & Peano arithmetic as above. Given any value of quantum information, i.e. a point in the separable complex Hilbert space, it always admits two equally acceptable interpretations: the one is physical, the other is mathematical. The former is a wave function as the exhausted description of a certain state of a certain quantum system. The latter chooses a certain mathematical structure among a certain category. Thus there is no way to be distinguished a mathematical structure from a physical state for both are described exhaustedly as a value of quantum information. This statement in turn can be utilized to be defined quantum information by the identity of any mathematical structure to a physical state, and also vice versa. Further, that definition is equivalent to both standard definition as the normed superposition and in-variance of Hamilton and Lagrange interpretation of mechanical motion introduced in the beginning of the paper. Then, the concept of information symmetry can be involved as the symmetry between three elements or two pairs of elements: Lagrange representation and each counterpart of the pair of Hamilton representation. The sense and meaning of information symmetry may be visualized by a single (quantum) bit and its interpretation as both (privileged) reference frame and the symmetries of the Standard model. (shrink)

This chapter looks at Euler’s relation to Newton, and at his role in the rise of ‘Newtonian’ mechanics. It aims to give a sense of Newton’s complicated legacy for Enlightenment science, and to raise awareness that some key ‘Newtonian’ results really come from Euler.

The link between seen and unseen, matter and spirit, flesh and soul was always presumed, but never clarified enough, leaving room for debates and mostly controversies between the scientific domains and theologies of a different type; how could God, who is immaterial, have created the material world? Therefore, the logic of obtaining a result on this concern is first to see how religions have always seen the ratio between divinity and matter/universe. In this part, the idea of a world personality (...) is implied by many, so that nature itself was transformed into a person ; others have seen within the universe/the world a Spirit ruling all, connecting all and bending all to God’s commands. In a way or another, every culture has gifted the universe/nature with the capability of ruling all, seeing everything and controlling, even determining facts by connecting all together with a Great Spirit. What is this Great Spirit of all and where it resides? With the analogy of human body in relation to his Spirit we will try to figure out a place or vehicle for the Spirit to dwell the body, and the Great Spirit the matter. The Christianity names this linkage between God and matter as ‘the created grace of God’, which indwells matter and helps the Creator move and transform things. Is there any scientific argument to sustain such assertion? Can we argue somehow that God’s voice makes matter vibrate from within the way it can recombine primer elements into giant stars to the human body? If so, what should be the ratio between theology and science on this issue and with these assertions? How could God command to matter to bring things and beings out of it and what were the material leverages that was supposed to be operated to accomplish His will? However, if we can assume that God resides in the universe – as a whole, His body, or as in its very fabric – can we also figure out how is this even possible, without transforming our explanation into a pantheistic and immanent exclusive one? Through these ‘divine leverages within matter’ theory, there is no need for questioning evolutionism, creationism, pantheism, deism and many other cosmological hypotheses any longer. (shrink)

The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing distinguishable extensions of the smooth spacetime manifold model, which can incorporate singularities, while retaining the form of the field equations. The sheaf-theoretic formulation of this problem is tantamount to extending the algebra sheaf of smooth functions to a distribution-like algebra sheaf in which the (...) former may be embedded, satisfying the pertinent cohomological conditions required for the coordinatization of all of the tensorial physical quantities, such that the form of the field equations is preserved. We present in detail the construction of these distribution-like algebra sheaves in terms of residue classes of sequences of smooth functions modulo the information of singular loci encoded in suitable ideals. Finally, we consider the application of these distribution-like solution sheaves in geometrodynamics by modeling topologically-circular boundaries of singular loci in three-dimensional space in terms of topological links. It turns out that the Borromean link represents higher order wormhole solutions. (shrink)

Western science claims to provide unique, objective information about the world. This is supported by the observation that peoples across cultures will agree upon a common description of the physical world. Further, the use of scientific instruments and mathematics is claimed to enable the objectification of science. In this work, carried out by reviewing the scientific literature, the above claims are disputed systematically by evaluating the definition of physical reality and the scientific method, showing that empiricism relies ultimately upon the (...) human senses for the evaluation of scientific theories and that measuring instruments cannot replace the human sensory system. Nativist and constructivist theories of human sensory development are reviewed, and it is shown that nativist claims of core conceptual knowledge cannot be supported by the findings in the literature, which shows that perception does not simply arise from a process of maturation. Instead, sensory function requires a long process of learning through interactions with the environment. To more rigorously define physical reality and systematically evaluate the stability of perception, and thus the basis of empiricism, the development of the method of dimension analysis is reviewed. It is shown that this methodology, relied upon for the mathematical analysis of physical quantities, is itself based upon empiricism, and that all of physical reality can be described in terms of the three fundamental dimensions of mass, length and time. Hereafter the sensory modalities that inform us about these three dimensions are systematically evaluated. The following careful analysis of neuronal plasticity in these modalities shows that all the relevant senses acquire from the environment the capacity to apprehend physical reality. It is concluded that physical reality is acquired rather than given innately, and leads to the position that science cannot provide unique results. Rather, those it can provide are sufficient for a particular environmental setting. (shrink)

This paper attempts to resolve the puzzle associated with the non-spatiality of monads by investigating the possibility that Leibniz employed a version of the extension of power doctrine, a Scholastic concept that explains the relationship between immaterial and material beings. As will be demonstrated, not only does the extension of power doctrine lead to a better understanding of Leibniz’ reasons for claiming that monads are non-spatial, but it also supports those interpretations of Leibniz’ metaphysics that accepts the real extension of (...) bodies. (shrink)

This essay examines Hobbes’ philosophy of space, with emphasis placed on the variety of interpretations that his concept of imaginary space has elicited from commentators. The process by which the idea of space is acquired from experience, as well as the role of nominalism, will be offered as important factors in tracking down the elusive content of Hobbes’ conception of imaginary space.

In this paper I intend to present the Dilemma of Continuity of Matter and a possible solution to it. This dilemma consists in choosing between two misfortunes in explaining the continuity of matter: or to say that material objects are infinitely divisible and not explain what constitutes the continuity of some kind of object, or to say that there is a certain kind of indivisible object and not explain what constitutes the continuity of such an object. The solution we provide (...) is precisely the thesis that material objects consists of points, a thesis we try to make clearer, although we have not developed it much. (shrink)

In the history of early modern science, the ‘Journal’ of Isaac Beeckman (1588–1637) has been examined from the angle of Cartesian mechanicism, Lucretian atomism and pre–molecular theories of matter. However, by focusing on the traditional themes of the seventeenth–century “scientific revolution,” previous studies have failed to explore the medical side of Beeckman’s thinking and its debt to the Galenic tradition. The present article aims to fill this gap by examining how Beeckman considered the material structure of the living body in (...) his many commentaries on Galen between 1616 and 1627. Beeckman’s interpretation of Galenic medicine is examined following three topics: (1) Galenic teleology and its consistency with Beeckman’s Calvinist faith; (2) Galenic physiology and its accent on the natural faculties; (3) Galenic pathology and therapy in relation to the Hippocratic humors. (shrink)

Unifying physics by describing a variety of interactions – or even all interactions – within a common framework has long been an alluring goal for physicists. One of the most ambitious attempts at unification was made in the 1910s by Gustav Mie. Mie aimed to derive electromagnetism, gravitation, and aspects of the emerging quantum theory from a single variational principle and a well-chosen Lagrangian. Mie’s main innovation was to consider nonlinear field equations to allow for stable particle-like solutions (now called (...) solitons), and he clarified the use of variational principles in the context of special relativity. The following brief introduction to Mie’s work has three main objectives. The first is to explain how Mie’s project fit into the contemporary development of the electromagnetic world view. Part of Mie’s project was to develop a relativistic theory of gravitation as a consequence of his generalized electromagnetic theory, and our second goal is to briefly assess this work, which reflects the conceptual resources available for developing a new account of gravitation by analogy with electromagnetism. Finally, Mie was a vocal critic of other approaches to the problem of gravitation. Mie’s criticisms of Einstein, in particular, bring out the subtlety and novelty of the ideas that Einstein used to guide his development of general relativity. (shrink)

Pierre Gassendi was a major factor in the revival of Epicureanism in early modern philosophy, not only through his contribution to the restoration and criticism of Epicurean texts, but also by his adaptation of Epicurean ideas in his own philosophy, which was itself influential on such important figures of early modern philosophy as Hobbes, Locke, Newton, and Boyle (to name just a few). Despite his vigorous defense of certain Epicurean ideas and ancient atomism, Gassendi goes to great lengths to differentiate (...) his philosophy from Epicureanism on certain key points. In this paper I argue that those key points on which Gassendi rejects and and criticizes the Epicurean view, such as the immortality of the soul and divine creation of the cosmos, are central not only to Epicureanism, but also to Gassendi's own philosophy. In order to see Gassendi's philosophy for what it is, and understand its role in the history of natural theology, we need accept and understand better why he rejected the central theses of Epicureanism. (shrink)

تجلت المعالجة الفيزيائية المعاصرة لموضوع الاتصال في نظريتين كبريتين تقاسمتا البحث في الظواهر الطبيعية منذ بداية القرن العشرين: إحداهما نظريــة النسبية (الخاصـة والعامـة)، والأخرى نظرية الكم. وبينما تُعيد النسبية الخاصة صياغة القوانين الأساسية للحركة على نحو أدق مما قدمه نيوتن، تتجه النسبية العامة إلى تعليل خواص المادة على النطاق الواسع، أي على مستوى الكون الأكبر، حيث النجوم والكواكب وحركاتها التجاذبية. أما نظرية الكمّ فتًعلل خواص المادة على النطاق الضيق جدًا، أي على مستوى الكون الذري. وليس هناك فيما يبدو أية رابطة (...) بين النسبية العامة والكم، اللهم إلا في أساسهما المشترك وهو النسبية الخاصة. ومن ناحية أخرى، بينما تنجح النسبية في تحطيم الأطر المطلقة التي افترض نيوتن أن قوانين الطبيعة تعمل بمقتضاها، وهي الزمان والمكان، تُحرز نظرية الكمَّ نجاحًا مماثلاً في تفتيت عالم الذرة الذي ظنه نيوتن مصمتًا لا داخل له. والحق أنها لمهمة شاقة أن نعرض في بحثٍ واحد لنظريتين أثارتا من المشكلات الفلسفية أكثر مما اضطلعتا بحله. ولكننا مع ذلك سنحاول تتبع الخطوط الرئيسة لكلتيهما، تدفعنا رغبة مُلحة في الحصول على إجابة شافية عما إذا كان الاتصال قائمًا في الطبيعة أم لا. (shrink)

In the Principles of Philosophy, Descartes attempts to explicate the well-known phenomena of varying bodily size through an appeal to the concept of "solidity," a notion that roughly corresponds to our present-day concept of density. Descartes' interest in these issues can be partially traced to the need to define clearly the role of matter in his natural laws, a problem particularly acute for the application of his conservation principle. Specifically, since Descartes insists that a body's "quantity of motion," defined as (...) the product of its "size" and speed, is conserved in all material interactions, it is imperative that he explain how solidity influences the magnitude of this force. As a means of resolving this problem, Descartes postulated an idealized condition of "perfect solidity" which correlates a body's "agitation" force (a forerunner of Newton's concept of non-accelerating, or "inertial" motion) with the interplay of its volume, surface area, and composition of minute particles. This essay explores this often misunderstood aspect of Descartes' physics, as well as the special function of idealized conditions in his collision rules. Contrary to those commentators who regard "perfect solidity" as a stipulation on bodily impact, this notion, it will be argued, is primarily concerned with the internal composition of macroscopic bodies, and only indirectly with their collision characteristics. Along the way, many of Descartes' hypotheses will be shown to display a level of sophistication and intricacy that, despite their essential incompatibility, belie several of the common misconceptions of Cartesian science. (shrink)

Aritsotle's hyle is contrasted with Plato's chora and Aquinas's prima materia. It is argued that Plato and Aristotle developed their concepts in response to very different needs, and that Aquinas's theory reflects a conflation of their views by Neoplatonic commentators. Hyle is shown to be an active potential to a determinate form in contrast to Aquinas's prima materia, which is a purely indeterminate passive potential. This gives a point of attachment in Aristotle's philosophy of nature for the later notion of (...) universal laws of nature. (shrink)

Physical reality is all the reality we have, and so physical theory in the standard sense is all the ontology we need. This, at least, was an assumption taken almost universally for granted by the advocates of exact philosophy for much of the present century. Every event, it was held, is a physical event, and all structure in reality is physical structure. The grip of this assumption has perhaps been gradually weakened in recent years as far as the sciences of (...) mind are concerned. When it comes to the sciences of external reality, however, it continues to hold sway, so that contemporary philosophers B even while devoting vast amounts of attention to the language we use in describing the world of everyday experience B still refuse to see this world as being itself a proper object of theoretical concern. Here, however, we shall argue that the usual conception of physical reality as constituting a unique bedrock of objectivity reflects a rather archaic view as to the nature of physics itself and is in fact incompatible with the development of the discipline since Newton. More specifically, we shall seek to show that the world of qualitative structures, for example of colour and sound, or the commonsense world of coloured and sounding things, can be treated scientifically (ontologically) on its own terms, and that such a treatment can help us better to understand the structures both of physical reality and of cognition. (shrink)

In the standard model of cosmology, λCDM, were introduced to explain the anomalies of the orbital velocities of galaxies in clusters highest according estimated by General Relativity the dark matter and the accelerated expansion of the universe the dark energy. The model λCDM is based in the equations of the General Relativity that of the total mass-energy of the universe assigns 4.9% to matter (including only baryonic matter), 26.8%, to dark matter and 68.3% to dark energy adjusted according observed in (...) Planck mission, therefore, excluding bosonic matter (quantum vacuum). However, the composition of dark matter and dark energy are unknown. Due to that it lacks of a correct physical theory of gravity since General Relativity is only their powerful equations, which in their applications, their results are interpreted arbitrarily. Properties as curvature, viscous fluid, dragging frame and gravity action are attributed mistakenly to the spacetime by the materialist substantivalism, the most credible philosophical interpretation that complements the General Relativity, caused by its absence of physical definition of spacetime and static gravitational field as immaterial, but which violates, the conception of gravity as an effect of coordinates of the generalization of the inertial motion to the accelerated motion and, in particular, the description of the metric tensor of gravity as a geometric field. These properties are really of the quantum vacuum, the main existence form of the matter. In this paper we propose that the quantum vacuum is the source of dark matter and dark energy, therefore, the components of the quantum vacuum are of them. Both are opposite effects of the quantum vacuum that when gravitationally interacts with the cosmic structures, the vacuum it curves and when such interaction tends to cease by declination of the formation of these structures, occurring since near five milliard of years ago, vacuum it maintains quasi plane, since it interacts gravitationally very weakly with itself, accelerating expansion of the universe. (shrink)