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  1. The Proximity of Light: A Deconstruction of Space.Timothy M. Rogers - manuscript
    Based on Newton's text, cited and recited in a common discourse, a specific and appropriated picture of the ontological structure of classical physics is presented. Another voice, separate and proximate, interrupts this discourse, scintillating language and resonating metaphor. Tropes and figures push from a classical ontology embedded in reciprocal duality towards a promised Otherwise within an irreducibly threefold relatedness. Drawing from Emmanuel Levinas' critique of ontology, the paper intimates the rupture of spatiality in the proximity of light—a deconstruction of the (...)
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  2. The Metaphysics of Machian Frame-Dragging.Antonio Vassallo & Carl Hoefer - 2019 - In Claus Beisbart, Tilman Sauer & Christian Wüthrich (eds.), Thinking About Space and Time. Basel: Birkhäuser.
    The paper investigates the kind of dependence relation that best portrays Machian frame-dragging in general relativity. The question is tricky because frame-dragging relates local inertial frames to distant distributions of matter in a time-independent way, thus establishing some sort of non-local link between the two. For this reason, a plain causal interpretation of frame-dragging faces huge challenges. The paper will shed light on the issue by using a generalized structural equation model analysis in terms of manipulationist counterfactuals recently applied in (...)
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  3. Have We Lost Spacetime on the Way? Narrowing the Gap Between General Relativity and Quantum Gravity.Baptiste Le Bihan & Niels Linnemann - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 65:112-121.
    Important features of space and time are taken to be missing in quantum gravity, allegedly requiring an explanation of the emergence of spacetime from non-spatio-temporal theories. In this paper, we argue that the explanatory gap between general relativity and non-spatio- temporal quantum gravity theories might signifi cantly be reduced with two moves. First, we point out that spacetime is already partially missing in the context of general relativity when understood from a dynamical perspective. Second, we argue that most approaches to (...)
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  4. Nothingness-Definition Antinomy Analysis.Berke Nihat Akay - manuscript
    Trying to define nothingness has always been a challenge for philosophers. What exactly is it? Does it share properties similar to spaces? Can we treat it as a ''thing'' ? We can say an object is inside nothingness, but how do we imagine that ''containment'' ?
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  5. The Integral Construct of Science.Joseph Krecz - manuscript
    A number of general theories of physics provide a model for the fundamental rules that govern our universe, becoming a structural framework to which the new discoveries must conform. The theory of relativity is such a general theory. The theory of relativity is a complex theoretical framework that facilitates the understanding of the universal laws of physics. It is based on the curved space-time continuum fabric abstract concept, and it is well suited for interpreting cosmic events. More so, a general (...)
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  6. What Fundamental Properties Suffice to Account for the Manifest World? Powerful Structure.Sharon R. Ford - 2010 - Dissertation, University of Queensland
    This Thesis engages with contemporary philosophical controversies about the nature of dispositional properties or powers and the relationship they have to their non-dispositional counterparts. The focus concerns fundamentality. In particular, I seek to answer the question, ‘What fundamental properties suffice to account for the manifest world?’ The answer I defend is that fundamental categorical properties need not be invoked in order to derive a viable explanation for the manifest world. My stance is a field-theoretic view which describes the world as (...)
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Causal Theories of Spacetime
  1. A Model for Creation: Part I.Paul Bernard White - manuscript
    Four initial postulates are presented (with two more added later), which state that construction of the physical universe proceeds from a sequence of discrete steps or "projections" --- a process that yields a sequence of discrete levels (labeled 0, 1, 2, 3, 4). At or above level 2 the model yields a (3+1)-dimensional structure, which is interpreted as ordinary space and time. As a result, time does not exist below level 2 of the system, and thus the quantum of action, (...)
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  2. A Derivation of Space and Time.Paul Bernard White - 2019 - Progress in Physics 15 (2).
    Four simple postulates are presented, from which we derive a (3+1)‑dimensional structure, interpreted as ordinary space and time. We then derive further properties of space: isotropy and homogeneity; a rapid expansion within the first instant of time (i.e. inflation); and a continual and uniform expansionary pressure, due to a continual influx of (non-zero-point) energy that is uniformly distributed (i.e. dark energy). In addition, the time dimension is shown to have an "arrow". These results suggest that the four postulates may be (...)
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  3. John R. Smythies’ Theories of Mind, Matter, and N-Dimensional Space: Conspectus of Part of Analysis of Perception.Peter Sjöstedt-H. - manuscript
    Conspectus of part of John R. Smythies' Analysis of Perception (1956). It presents a summary of his ideas on phenomenal space – the space of one’s imagination, dreams, psychedelic experiences, somatic sensations, visions, hynagogia, etc. – and its relation to physical space.
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  4. Space-Time Intervals Underlie Human Conscious Experience, Gravity, and a Theory of Everything.Richard Sieb - 2018 - Neuroquantology 16 (7):49-64.
    Space-time intervals are the fundamental components of conscious experience, gravity, and a Theory of Everything. Space-time intervals are relationships that arise naturally between events. They have a general covariance (independence of coordinate systems, scale invariance), a physical constancy, that encompasses all frames of reference. There are three basic types of space-time intervals (light-like, time-like, space-like) which interact to create space-time and its properties. Human conscious experience is a four-dimensional space-time continuum created through the processing of space-time intervals by the brain; (...)
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  5. History of the NeoClassical Interpretation of Quantum and Relativistic Physics.Shiva Meucci - 2018 - Cosmos and History 14 (2):157-177.
    The need for revolution in modern physics is a well known and often broached subject, however, the precision and success of current models narrows the possible changes to such a great degree that there appears to be no major change possible. We provide herein, the first step toward a possible solution to this paradox via reinterpretation of the conceptual-theoretical framework while still preserving the modern art and tools in an unaltered form. This redivision of concepts and redistribution of the data (...)
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  6. Vor dem Starten ankommen. Über Zeitreisen und Warp-Antriebe.Kay Herrmann - 2016 - Universitätsverlag Chemnitz.
    Time travel and superluminal travel are two of mankind's dreams. They inspire our imagination and provide material for bizarre stories. -/- A work on the subject of time travel and superluminal travel forces us to re-examine our concept of "time". The complexity and the contradictory nature this subject makes it difficult to be more precise about "time". On its deepest subjective side, time is a means of perception, a biological rhythm, a social phenomenon in terms of our collective understanding of (...)
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  7. The Computable Universe: From Prespace Metaphysics to Discrete Quantum Mechanics.Martin Leckey - 1997 - Dissertation, Monash University
    The central motivating idea behind the development of this work is the concept of prespace, a hypothetical structure that is postulated by some physicists to underlie the fabric of space or space-time. I consider how such a structure could relate to space and space-time, and the rest of reality as we know it, and the implications of the existence of this structure for quantum theory. Understanding how this structure could relate to space and to the rest of reality requires, I (...)
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  8. A Geometric Model of the Universe with Time Flow.Andrew Holster - manuscript
    This study presents a new type of foundational model unifying quantum theory, relativity theory and gravitational physics, with a novel cosmology. It proposes a six-dimensional geometric manifold as the foundational ontology for our universe. The theoretical unification is simple and powerful, and there are a number of novel empirical predictions and theoretical reductions that are strikingly accurate. It subsequently addresses a variety of current anomalies in physics. It shows how incomplete modern physics is by giving an example of a theory (...)
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  9. A Case for Lattice Schemes in Fundamental Physics.Rowan Grigg - unknown
    A synthesis of trending topics in pancomputationalism. I introduce the notion that "strange loops" engender the most atomic levels of physical reality, and introduce a mechanism for global non-locality. Writen in a simple and accesssible style, it seeks to draw research in fundamental physics back to realism, and have a bit of fun in the process.
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  10. Denying the Existence of Instants of Time and the Instantaneous.Peter Lynds - manuscript
    Extending on an earlier paper [Found. Phys. Ltt., 16(4) 343–355, (2003)], it is argued that instants of time and the instantaneous (including instantaneous relative position) do not actually exist. This conclusion, one which is also argued to represent the correct solution to Zeno’s motion paradoxes, has several implications for modern physics and for our philosophical view of time, including that time and space cannot be quantized; that contrary to common interpretation, motion and change are compatible with the “block” universe and (...)
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Conventionalism about Spacetime
  1. David Hyder. The Determinate World: Kant and Helmholtz on the Physical Meaning of Geometry. Viii + 229 Pp., Bibl., Index. Berlin/New York: Walter de Gruyter, 2009. $105. [REVIEW]Gary Hatfield - 2012 - Isis 103 (4):769-770.
    David Hyder.The Determinate World: Kant and Helmholtz on the Physical Meaning of Geometry. viii + 229 pp., bibl., index. Berlin/New York: Walter de Gruyter, 2009.
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  2. Comment On: “The Role of Dynamics in the Synchronization Problem”, by Hans C. Ohanian.Alan Macdonald - 2005 - American Journal of Physics 73 (2).
    Hans C. Ohanian 1 claims to “defeat” the conventionalist thesis of clock synchronization using an argument based on dynamics. My aim here is to show that his argument does not succeed.
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  3. On the Marzke-Wheeler and Desloge Constructions.Alan Macdonald - 1992 - Foundations Of Physics Letters 3:493.
    There is no indication of time dilation of clocks or of length contraction of rods in Marzke and Wheeler's clock or in Desloge's metrosphere.
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Relationism about Spacetime
  1. Relative Locations.Andrew Bacon - forthcoming - Oxford Studies in Metaphysics.
    The fact that physical laws often admit certain kinds of space-time symmetries is often thought to be problematic for substantivalism --- the view that space-time is as real as the objects it contains. The most prominent alternative, relationism, avoids these problems but at the cost of giving abstract objects (rather than space-time points) a pivotal role in the fundamental metaphysics. This incurs related problems concerning the relation of the physical to the mathematical. In this paper I will present a version (...)
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  2. On Spacetime Functionalism.David John Baker - manuscript
    Eleanor Knox has argued that our concept of spacetime applies to whichever structure plays a certain functional role in the laws (the role of determining local inertial structure). I raise two complications for this approach. First, our spacetime concept seems to have the structure of a cluster concept, which means that Knox's inertial criteria for spacetime cannot succeed with complete generality. Second, the notion of metaphysical fundamentality may feature in the spacetime concept, in which case spacetime functionalism may be uninformative (...)
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  3. The Priority of Relation for Creation: A Primer in the Logic of Three.Timothy M. Rogers - manuscript
    An exploration of the metaphysics of relation as a unifying motif in modern physics. What happens when Ideal observers begin to observe their own observing?
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  4. Reconsidering Kantian Absolute Space in the Metaphysical Foundations of Natural Science From a Huygensian Frame.Edward Slowik - 2017 - Journal of Early Modern Studies 6 (2):119-141.
    This essay explores Kant’s concept of absolute space in the Metaphysical Foundations from the perspective of the development of the relationist interpretation of bodily interactions in the center-of-mass reference frame, a strategy that Huygens had originally pioneered and which Mach also endorsed. In contrast to the interpretations of Kant that stress a non-relationist, Newton-inspired orientation in his critical period work, it will be argued that the content and function of Kant’s utilization of this reference frame strategy places him much closer (...)
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  5. On the Embodiment of Space and Time: Triadic Logic, Quantum Indeterminacy and the Metaphysics of Relativity.Timothy M. Rogers - manuscript
    Triadic (systemical) logic can provide an interpretive paradigm for understanding how quantum indeterminacy is a consequence of the formal nature of light in relativity theory. This interpretive paradigm is coherent and constitutionally open to ethical and theological interests. -/- In this statement: -/- (1) Triadic logic refers to a formal pattern that describes systemic (collaborative) processes involving signs that mediate between interiority (individuation) and exteriority (generalized worldview or Umwelt). It is also called systemical logic or the logic of relatives. The (...)
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  6. Relational Time.Matteo Morganti - 2015 - In Tomasz Bigaj & Christian Wuthrich (eds.), Metaphysics in Contemporary Phyics. Brill Rodopi. pp. 215-236.
    This paper defends a relational view of time based on recent work on quantum gravity. Julian barbour's relational approach to physical theory, in particular, is developed as a basis for a relational, rather than anti-realist, metaphysics of time.
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  7. Relationalism About Mechanics Based on a Minimalist Ontology of Matter.Antonio Vassallo, Dirk-André Deckert & Michael Esfeld - 2016 - European Journal for Philosophy of Science:1-20.
    This paper elaborates on relationalism about space and time as motivated by a minimalist ontology of the physical world: there are only matter points that are individuated by the distance relations among them, with these relations changing. We assess two strategies to combine this ontology with physics, using classical mechanics as example: the Humean strategy adopts the standard, non-relationalist physical theories as they stand and interprets their formal apparatus as the means of bookkeeping of the change of the distance relations (...)
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  8. Leibnizian Relationalism for General Relativistic Physics.Antonio Vassallo & Michael Esfeld - 2016 - Studies in History and Philosophy of Modern Physics:101-107.
    An ontology of Leibnizian relationalism, consisting in distance relations among sparse matter points and their change only, is well recognized as a serious option in the context of classical mechanics. In this paper, we investigate how this ontology fares when it comes to general relativistic physics. Using a Humean strategy, we regard the gravitational field as a means to represent the overall change in the distance relations among point particles in a way that achieves the best combination of being simple (...)
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  9. Leibniz on the Modal Status of Absolute Space and Time.Martin Lin - 2016 - Noûs 50 (3):447-464.
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  10. Relational and Substantival Ontologies, and the Nature and the Role of Primitives in Ontological Theories.Jiri Benovsky - 2010 - Erkenntnis 73 (1):101-121.
    Several metaphysical debates have typically been modeled as oppositions between a relationist approach and a substantivalist approach. Such debates include the Bundle Theory and the Substratum Theory about ordinary material objects, the Bundle (Humean) Theory and the Substance (Cartesian) Theory of the Self, and Relationism and Substantivalism about time. In all three debates, the substantivalist side typically insists that in order to provide a good treatment of the subject-matter of the theory (time, Self, material objects), it is necessary to postulate (...)
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  11. Perspectivas modernas: Leibniz, Newton y Kant.Martin F. Fricke - 2012 - In Rosario Gómez, Adam Sellen & Arturo Taracena Arriola (eds.), Diálogos sobre los espacios: imaginados, percibidos y construidos. Mérida, Mexico: UNAM. pp. 47-78.
    El capítulo introduce al debate sobre la naturaleza del espacio entre Leibniz y Clarke/Newton y a la posición que adopta Kant más tarde. En particular, se exponen los dos principales argumentos de Leibniz, basados en los Principios de Razón Suficiente e Identidad de Indiscernibles, en favor del relacionismo así como algunas respuestas de Clarke/Newton. También se presenta el argumento basado en la orientación del espacio que propuso Kant en 1768 para refutar el relacionismo de Leibniz. Se concluye con una breve (...)
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  12. Super-Relationism: Combining Eliminativism About Objects and Relationism About Spacetime.Baptiste Le Bihan - 2016 - Philosophical Studies 173 (8):2151-2172.
    I will introduce and motivate eliminativist super-relationism. This is the conjunction of relationism about spacetime and eliminativism about material objects. According to the view, the universe is a big collection of spatio-temporal relations and natural properties, and no substance (material or spatio-temporal) exists in it. The view is original since eliminativism about material objects, when understood as including not only ordinary objects like tables or chairs but also physical particles, is generally taken to imply substantivalism about spacetime: if properties are (...)
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  13. Huygens on Inertial Structure and Relativity.Marius Stan - 2016 - Philosophy of Science 83 (2):277-298.
    I explain and assess here Huygens’ concept of relative motion. I show that it allows him to ground most of the Law of Inertia, and also to explain rotation. Thereby his concept obviates the need for Newton’s absolute space. Thus his account is a powerful foundation for mechanics, though not without some tension.
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  14. On Where Things Could Be.Jeffrey Sanford Russell - 2014 - Philosophy of Science 81 (1):60-80.
    Some philosophers respond to Leibniz’s “shift” argument against absolute space by appealing to antihaecceitism about possible worlds, using David Lewis’s counterpart theory. But separated from Lewis’s distinctive system, it is difficult to understand what this doctrine amounts to or how it bears on the Leibnizian argument. In fact, the best way of making sense of the relevant kind of antihaecceitism concedes the main point of the Leibnizian argument, pressing us to consider alternative spatiotemporal metaphysics.
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  15. The Deep Metaphysics of Quantum Gravity: The Seventeenth Century Legacy and an Alternative Ontology Beyond Substantivalism and Relationism.Edward Slowik - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):490-499.
    This essay presents an alternative to contemporary substantivalist and relationist interpretations of quantum gravity hypotheses by means of an historical comparison with the ontology of space in the seventeenth century. Utilizing differences in the spatial geometry between the foundational theory and the theory derived from the foundational, in conjunction with nominalism and platonism, it will be argued that there are crucial similarities between seventeenth century and contemporary theories of space, and that these similarities reveal a host of underlying conceptual issues (...)
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  16. The 'Properties' of Leibnizian Space: Whither Relationism?Edward Slowik - 2012 - Intellectual History Review 22 (1):107-129.
    This essay examines the metaphysical foundation of Leibniz’s theory of space against the backdrop of the subtantivalism/relationism debate and at the ontological level of material bodies and properties. As will be demonstrated, the details of Leibniz’ theory defy a straightforward categorization employing the standard relationism often attributed to his views. Rather, a more careful analysis of his metaphysical doctrines related to bodies and space will reveal the importance of a host of concepts, such as the foundational role of God, the (...)
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  17. The Relationist and Substantivalist Theories of Time: Foes or Friends?Jiri Benovsky - 2011 - European Journal of Philosophy 19 (4):491-506.
    Abstract: There are two traditionally rival views about the nature of time: substantivalism that takes time to be a substance that exists independently of events located in it, and relationism that takes time to be constructed out of events. In this paper, first, I want to make some progress with respect to the debate between these two views, and I do this mainly by examining the strategies they use to face the possibilities of ‘empty time’ and ‘time without change’. As (...)
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Substantivalism about Spacetime
  1. Background Independence: Lessons for Further Decades of Dispute.Trevor Teitel - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics:41-54.
    Background independence begins life as an informal property that a physical theory might have, often glossed as 'doesn't posit a fixed spacetime background'. Interest in trying to offer a precise account of background independence has been sparked by the pronouncements of several theorists working on quantum gravity that background independence embodies in some sense an essential discovery of the General Theory of Relativity, and a feature we should strive to carry forward to future physical theories. This paper has two goals. (...)
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  2. Relative Locations.Andrew Bacon - forthcoming - Oxford Studies in Metaphysics.
    The fact that physical laws often admit certain kinds of space-time symmetries is often thought to be problematic for substantivalism --- the view that space-time is as real as the objects it contains. The most prominent alternative, relationism, avoids these problems but at the cost of giving abstract objects (rather than space-time points) a pivotal role in the fundamental metaphysics. This incurs related problems concerning the relation of the physical to the mathematical. In this paper I will present a version (...)
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  3. On Spacetime Functionalism.David John Baker - manuscript
    Eleanor Knox has argued that our concept of spacetime applies to whichever structure plays a certain functional role in the laws (the role of determining local inertial structure). I raise two complications for this approach. First, our spacetime concept seems to have the structure of a cluster concept, which means that Knox's inertial criteria for spacetime cannot succeed with complete generality. Second, the notion of metaphysical fundamentality may feature in the spacetime concept, in which case spacetime functionalism may be uninformative (...)
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  4. Leibniz on the Modal Status of Absolute Space and Time.Martin Lin - 2016 - Noûs 50 (3):447-464.
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  5. Space, Time, and (How They) Matter: A Discussion About Some Metaphysical Insights Provided by Our Best Fundamental Physical Theories.Valia Allori - 2016 - In G. C. Ghirardi & S. Wuppuluri (eds.), Space, Time, and The Limits of Human Understanding. Springer. pp. 95-107.
    This paper is a brief (and hopelessly incomplete) non-standard introduction to the philosophy of space and time. It is an introduction because I plan to give an overview of what I consider some of the main questions about space and time: Is space a substance over and above matter? How many dimensions does it have? Is space-time fundamental or emergent? Does time have a direction? Does time even exist? Nonetheless, this introduction is not standard because I conclude the discussion by (...)
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  6. Relativity and Three Four‐Dimensionalisms.Cody Gilmore, Damiano Costa & Claudio Calosi - 2016 - Philosophy Compass 11 (2):102-120.
    Relativity theory is often said to support something called ‘the four-dimensional view of reality’. But there are at least three different views that sometimes go by this name. One is ‘spacetime unitism’, according to which there is a spacetime manifold, and if there are such things as points of space or instants of time, these are just spacetime regions of different sorts: thus space and time are not separate manifolds. A second is the B-theory of time, according to which the (...)
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  7. Relational and Substantival Ontologies, and the Nature and the Role of Primitives in Ontological Theories.Jiri Benovsky - 2010 - Erkenntnis 73 (1):101-121.
    Several metaphysical debates have typically been modeled as oppositions between a relationist approach and a substantivalist approach. Such debates include the Bundle Theory and the Substratum Theory about ordinary material objects, the Bundle (Humean) Theory and the Substance (Cartesian) Theory of the Self, and Relationism and Substantivalism about time. In all three debates, the substantivalist side typically insists that in order to provide a good treatment of the subject-matter of the theory (time, Self, material objects), it is necessary to postulate (...)
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  8. Perspectivas modernas: Leibniz, Newton y Kant.Martin F. Fricke - 2012 - In Rosario Gómez, Adam Sellen & Arturo Taracena Arriola (eds.), Diálogos sobre los espacios: imaginados, percibidos y construidos. Mérida, Mexico: UNAM. pp. 47-78.
    El capítulo introduce al debate sobre la naturaleza del espacio entre Leibniz y Clarke/Newton y a la posición que adopta Kant más tarde. En particular, se exponen los dos principales argumentos de Leibniz, basados en los Principios de Razón Suficiente e Identidad de Indiscernibles, en favor del relacionismo así como algunas respuestas de Clarke/Newton. También se presenta el argumento basado en la orientación del espacio que propuso Kant en 1768 para refutar el relacionismo de Leibniz. Se concluye con una breve (...)
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  9. Super-Relationism: Combining Eliminativism About Objects and Relationism About Spacetime.Baptiste Le Bihan - 2016 - Philosophical Studies 173 (8):2151-2172.
    I will introduce and motivate eliminativist super-relationism. This is the conjunction of relationism about spacetime and eliminativism about material objects. According to the view, the universe is a big collection of spatio-temporal relations and natural properties, and no substance (material or spatio-temporal) exists in it. The view is original since eliminativism about material objects, when understood as including not only ordinary objects like tables or chairs but also physical particles, is generally taken to imply substantivalism about spacetime: if properties are (...)
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  10. On Where Things Could Be.Jeffrey Sanford Russell - 2014 - Philosophy of Science 81 (1):60-80.
    Some philosophers respond to Leibniz’s “shift” argument against absolute space by appealing to antihaecceitism about possible worlds, using David Lewis’s counterpart theory. But separated from Lewis’s distinctive system, it is difficult to understand what this doctrine amounts to or how it bears on the Leibnizian argument. In fact, the best way of making sense of the relevant kind of antihaecceitism concedes the main point of the Leibnizian argument, pressing us to consider alternative spatiotemporal metaphysics.
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  11. The Deep Metaphysics of Quantum Gravity: The Seventeenth Century Legacy and an Alternative Ontology Beyond Substantivalism and Relationism.Edward Slowik - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):490-499.
    This essay presents an alternative to contemporary substantivalist and relationist interpretations of quantum gravity hypotheses by means of an historical comparison with the ontology of space in the seventeenth century. Utilizing differences in the spatial geometry between the foundational theory and the theory derived from the foundational, in conjunction with nominalism and platonism, it will be argued that there are crucial similarities between seventeenth century and contemporary theories of space, and that these similarities reveal a host of underlying conceptual issues (...)
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  12. Building Enduring Objects Out of Spacetime.Cody Gilmore - 2014 - In Claudio Calosi & Pierluigi Graziani (eds.), Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context. Springer. pp. 5-34.
    Endurantism, the view that material objects are wholly present at each moment of their careers, is under threat from supersubstantivalism, the view that material objects are identical to spacetime regions. I discuss three compromise positions. They are alike in that they all take material objects to be composed of spacetime points or regions without being identical to any such point or region. They differ in whether they permit multilocation and in whether they generate cases of mereologically coincident entities.
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  13. Substrata and Properties: From Bare Particulars to Supersubstantivalism?Matteo Morganti - 2011 - Metaphysica 12 (2):183-195.
    An argument to the effect that, under a few reasonable assumptions, the bare particular ontology is best understood in terms of supersubstativalism: objects are identical to regions of space(-time) and properties directly inhere in space(-time) points or region as their bearers.
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  14. Physical Geometry and Fundamental Metaphysics.Cian Dorr - 2011 - Proceedings of the Aristotelian Society 111 (1pt1):135-159.
    I explore some ways in which one might base an account of the fundamental metaphysics of geometry on the mathematical theory of Linear Structures recently developed by Tim Maudlin (2010). Having considered some of the challenges facing this approach, Idevelop an alternative approach, according to which the fundamental ontology includes concrete entities structurally isomorphic to functions from space-time points to real numbers.
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