Space and Time, Misc

This is a chapter of the planned monograph "Out of Nowhere: The Emergence of Spacetime in Quantum Theories of Gravity", co-authored by Nick Huggett and Christian Wüthrich and under contract with Oxford University Press. (More information at www<dot>beyondspacetime<dot>net.) This chapter introduces causal set theory and identifies and articulates a 'problem of space' in this theory.

This is a chapter of the planned monograph "Out of Nowhere: The Emergence of Spacetime in Quantum Theories of Gravity", co-authored by Nick Huggett and Christian Wüthrich and under contract with Oxford University Press. (More information at www<dot>beyondspacetime<dot>net.) This chapter investigates the meaning and significance of string theoretic dualities, arguing they reveal a surprising physical indeterminateness to spacetime.

The notions of time and causality are revisited, as well as the A- and B-theory of time, in order to determine which theory of time is most compatible with relativistic spacetimes. By considering orientable spacetimes and defining a time-orientation, we formalize the concepts of a time-series in relativistic spacetimes; A-theory and B-theory are given mathematical descriptions within the formalism of General Relativity. As a result, in time-orientable spacetimes, the notions of events being in the future and in the past, which (...) are notions of A-theory, are found to be more fundamental than the notions of events being earlier than or later than other events, which are notions of B-theory. Furthermore, we find that B-theory notions are incompatible with some structures encountered in globally hyperbolic spacetimes, namely past and future inextendible curves. Hence, GR is favorable to A-theory and the notions of past, present and future. (shrink)

The role of conventions in the formulation of Thomas Reid’s theory of the geometry of vision, which he calls the “geometry of visibles”, is the subject of this investigation. In particular, we will examine the work of N. Daniels and R. Angell who have alleged that, respectively, Reid’s “geometry of visibles” and the geometry of the visual field are non-Euclidean. As will be demonstrated, however, the construction of any geometry of vision is subject to a choice of conventions regarding the (...) construction and assignment of its various properties, especially metric properties, and this fact undermines the claim for a unique non-Euclidean status for the geometry of vision. Finally, a suggestion is offered for trying to reconcile Reid’s direct realist theory of perception with his geometry of visibles. (shrink)

This paper investigates a famous argument, first introduced by Richard Taylor, that attempts to establish a radical similarity in the concepts of space and time. The argument contends that the spatial and temporal aspects of material bodies are much more alike, or analogous, than has been hitherto acknowledged. As will be demonstrated, most of the previous investigations of Taylor and company have failed to pinpoint the weakest link in their complex of analogies. By concentrating on their most fundamental cases, however, (...) a substantial difference, or disanalogy, can be brought to light that undermines this purported equivalence of space and time. (shrink)

The paper is about the basic properties of the structure of space and time. I wrote the very short paper to show that logic and mathematics are enough to determine the basic properties of the field structure of our universe.

Phenomenological reality seems to be a never ending transformation of observable events. A sequence of successive observable alterations that is called “time”. Actually phenomenological reality exists only “at the front” of the evolving transformations. A state of reality we have termed “now”. However, what is the physical reality of the concept “now”? Does it depends on the properties of the human consciousness or is the state of reality “now” existent everywhere in the universe, even in vacuum space?

Usually, the "laboratory" of gravitational tests was the celestial bodies, the astrophysical systems. But such tests are disturbed by non-gravitational effects. The most used such "laboratory" was the solar system. Recently, scientists have focused on observing binary pulsars for the verification of gravitational theories, by observing the variations of the orbital period, thus providing indirect evidence for the emission of gravitational radiation. But the experimenter cannot "arrange the lab" according to his needs, nor trigger certain events when he needs them. (...) But the current technological development is beginning to allow pure laboratory experiments. DOI: 10.13140/RG.2.2.21684.60801 . (shrink)

The possibility of multilocation --- of one entity having more than one exact location --- is required by several metaphysical theories such as the immanentist theory of universals and three-dimensionalism about persistence. One of the most pressing challenges for multi-location theorists is that of making sense of exact location --- in that extant definitions of exact location entail a principle called Functionality, according to which nothing can have more than one exact location. Recently in a number of promising papers, Antony (...) Eagle has proposed and defended a definition of exact location in terms of weak location that does not entail Functionality. This paper provides the first thorough assessment of Eagle’s proposal. In particular, we argue that it cannot account for (i) location of immanent universals, (ii) multi-location of mereologically changing three-dimensional objects , (iii) multi-location of mereologically complex objects, and (iv) mereologically simple but extended objects. (shrink)

In contrast to other ancient philosophers, Epicurus and his followers famously maintained the infinity of matter, and consequently of worlds. This was inferred from the infinity of space, because they believed that a limited amount of matter would inevitably be scattered through infinite space, and hence be unable to meet and form stable compounds. By contrast, the Stoics claimed that there was only a finite amount of matter in infinite space, which stayed together because of a general centripetal tendency. The (...) Roman Epicurean poet Lucretius tried to defend the Epicurean conception of infinity against this Stoic alternative view, but not very convincingly. One might suspect, therefore, that the Epicureans’ adherence to the infinity of matter was not so much dictated by physical arguments as it was motivated by other, mostly theological and ethical, concerns. More specifically, the infinity of atoms and worlds was used as a premise in several arguments against divine intervention in the universe. The infinity of worlds was claimed to rule out divine intervention directly, while the infinity of atoms lent plausibility to the chance formation of worlds. Moreover, the infinity of atoms and worlds was used to ensure the truth of multiple explanations, which was presented by Epicurus as the only way to ward off divine intervention in the realm of celestial phenomena. However, it will be argued that in all of these arguments the infinity of matter is either unnecessary or insufficient for reaching the desired conclusion. (shrink)

The classic example of a successful research program is Newton's gravitational theory, probably the most successful Lakatosian research program. Initially, Newton's gravitational theory faced a lot of "anomalies" ("counterexamples") and contradicted the observational theories that supported these anomalies. But supporters of the Newtonian gravity research program have turned every anomaly into corroborating cases. Moreover, they themselves pointed to counterexamples which they then explained through Newtonian theory . DOI: 10.13140/RG.2.2.32489.85601.

Les singularités gravitationnelles dans la relativité générale sont des emplacements dans l'espace-temps où le champ gravitationnel devient infini. Les courbes scalaires invariantes de l'espace-temps incluent une mesure de la densité de la matière. Certains physiciens et philosophes estiment que, du fait que la densité de la matière tend vers l'infini dans la singularité, les lois de l'espace-temps ne sont plus valables là-bas. Le Big Bang est une singularité gravitationnelle acceptée presque unanimement en astrophysique et en cosmologie, en tant que premier (...) état de l'univers. DOI: 10.13140/RG.2.2.32661.06886. (shrink)

Here, we show that by accepting Fuzzy time-Particle interpretation of Quantum Mechanics, the singularities in the new Model are vanished.

In a recent article, Ned Markosian gives an argument against four-dimensionalism understood as the view that time is one of four identical dimensions that constitute a single four-dimensional manifold. In this paper, I show that Markosian attacks a straw man as his argument targets a theory known to be false on empirical grounds. Four-dimensionalism rightly conceived in no way entails that time is identical to space. I then address two objections raised by Markosian against four-dimensionalism rightly conceived.

It seems natural to ask why the universe exists at all. Modern physics suggests that the universe can exist all by itself as a self-contained system, without anything external to create or sustain it. But there might not be an absolute answer to why it exists. I argue that any attempt to account for the existence of something rather than nothing must ultimately bottom out in a set of brute facts; the universe simply is, without ultimate cause or explanation.

The purpose of this yet-another version of this note is to make another attempt to show how an 'AB-series' interpretation of time, given in a companion paper, leads, surprisingly, apparently, to the signature of the physicists' important AdS^5 geometry. This is not a theory of 2 time dimensions. Rather, it is a theory of 1 time dimension that has both A-series and B-series characteristics.

Recently, many philosophers have been interested in using locative relations to clarify and pursue debates in the metaphysics of material objects. Most begin with the relation of exact location. But what if we begin instead with the relation known as weak location – the relation an object x bears to any region not completely bereft of x? I explore some of the consequences of pursuing this route for issues including coincidence, extended simples, and endurance, with an eye to evaluating the (...) prospects for taking weak location as our fundamental locative relation. (shrink)

У статті проаналізовано категорію дикості в поезії Олега Лишеги. Екокритична категорія дикості – як протилежність до цивілізованого, обжитого, людського – дає змогу окреслити основні ознаки лісу у поезії Лишеги як дикого, непередбачуваного, тваринного, магічного простору. Близька взаємодія суб’єкта лірики із лісовим ландшафтом створює глибшу ідентичність дикого лісу, який, отримавши голос, промовляє у тексті. Надзвичайно важливим для поета є збереження неприрученості, гармонійне співіснування світу природи і світу людей.

The General Relativity understands gravity like inertial movement of the free fall of the bodies in curved spacetime of Lorentz. The law of inertia of Newton would be particular case of the inertial movement of the bodies in the spacetime flat of Euclid. But, in the step, from general to particular, breaks the law of inertia of Galilei since recovers apparently the rectilinear uniform movement but not the repose state, unless the bodies have undergone their collapse, although, the curved spacetime (...) becomes flat and the curved geodesies becomes straight lines. For General Relativity is a natural law, within of a gravitational field, the accelerated movement of the bodies, that leads to that a geometric curvature puts out to the bodies in such geodesic movement. In this paper this error of General Relativity, like generalization of the law of inertia of Galilei, is examined and it is found that it is caused by suppression of mass and force that allows conceiving acceleration like property of spacetime. This is a mathematical and non-ontological result. Indeed, mass and force are the fundament that the gravitational acceleration is independent of the magnitude of mass of the bodies but gravity not of the mass and the gravitational force. The action of the gravity force, on inertial and gravitational masses of a body, produces mutual cancellation during its free fallen but too its weight when this cease. By means of the third law of Newton it shows that gravity is a force since weight is caused by gravity. (shrink)

The purpose of this book is to address the controversial issues of whether we have a fixed set of ontological categories and if they have some epistemic value at all. Which are our ontological categories? What determines them? Do they play a role in cognition? If so, which? What do they force to presuppose regarding our world-view? If they constitute a limit to possible knowledge, up to what point is science possible? Does their study make of philosophy a science? Departing (...) from the novelty –but no exclusively- of considering distinctions to be the subject matter of thought and language -that is, of reference and meaning- the author arrives at a radical novel conception of the ontological categories. The observations and arguments presented in it constitute a strong case against established and well-rooted tenets, if not paradigms, of contemporary philosophy, beyond ontology and epistemology. The entailing conclusions, open the door to a revival of the discipline and the importance of its studies, as the science of the constitutive elements of knowledge of a non-empirical nature. (shrink)

Since 2015, incredible many have published UNBELIEVABLE similar ideas to my ideas published between 2002-2008!!! There were others who published UNBELIEVABLE similar ideas to my ideas even earlier (since 2008, in general), but the number has an incredible jump after 2014. Why? In 2014, I have sent emails to thousands of people (many countries, many domains (Physics, Philosophy, and Cognitive Science)) regarding the UNBELIEVABLE similarities between my ideas (2002-2008) and Markus Gabriel’s ideas (his book from 2013). Is it this a (...) coincidence? I don’t believe so… Why so many people from so many countries from so many domains on so many topics have published UNBELIEVALBE similar ideas to my ideas (2002-2008 and later)? Because I have changed EVERYTHING! (shrink)

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, (...) h, which depends on time (since its unit is time•energy), also does not exist below level 2. This implies that the quantum of action is not fundamental, and thus e.g. that the physical universe cannot have originated from a quantum fluctuation. When the gravitational interaction for the model is developed, it is seen that the basic ingredient for gravity is already operating at level 1 of the system, which implies that gravity, too, is not fundamentally quantum mechanical (since, as stated, h only kicks in at level 2) --- perhaps obviating the need for a quantum theory of gravity. Further arguments along this line lead to the conclusion that quantum fluctuations cannot be a source of gravity, and thus cannot contribute to the cosmological constant --- thereby averting the cosmological constant problem. Along the way, the model also provides explanations for dark energy, the beginning and ending of inflation, quark confinement, and more. Although the model dethrones the quantum, it nevertheless elevates an idea in physics that was engendered by quantum mechanics: the necessary role of "observers" in constructing the world. (shrink)

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 (...) fundamental to the construction of the physical universe. (shrink)

Following the 26th General Conference on Weights and Measures are fixed the numerical values of the 4 physical constants ($h, c, e, k_B$). This is premised on the independence of these constants. This article discusses a model of a mathematical electron from which can be defined the Planck units as geometrical objects (mass M=1, time T=2$\pi$ ...). In this model these objects are interrelated via this electron geometry such that once we have assigned values to 2 Planck units then we (...) have fixed the values for all Planck units. As all constants can then be defined using geometrical forms (in terms of 2 fixed mathematical constants, 2 unit-specific scalars and a defined relationship between the units $kg, m, s, A$), the least precise CODATA 2014 constants ($G, h, e, m_e, k_B$...) can then be solved via the most precise ($c, \mu_0, \alpha, R_\infty$), with numerical precision limited by the precision of the fine structure constant $\alpha$. In terms of this model we now for example have 2 separate values for elementary charge, calculated from ($c, \alpha, R_\infty$) and the 2017 revision. (shrink)

The model of special relativity is built in the article. Within the framework of the model, formulas of special relativity are obtained and their philosophical and physical meaning is revealed.

The Simulation Hypothesis proposes that all of reality is an artificial simulation, analogous to a computer simulation. Outlined here is a low computational cost method for programming cosmic microwave background parameters in Planck time Simulation Hypothesis Universe. The model initializes `micro Planck-size black-holes' as entities that embed the Planck units. For each incremental unit of Planck time, the universe expands by adding 1 micro black-hole, a dark energy is not required. The mass-space parameters increment linearly, the electric parameters in a (...) sqrt-progression, thus for electric parameters the early black-hole transforms most rapidly. The velocity of expansion is constant and is the origin of the speed of light, the Hubble constant becomes a measure of the black-hole radius and the CMB radiation energy density correlates to the Casimir force. A peak frequency of 160.2GHz correlates to a 14.624 billion year old black-hole. The cosmological constant, being the age when the simulation reaches the limit, approximates $t$ = 10$^{123} t_p$. (shrink)

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 (...) theory based on abstract concepts and imagination facilitates the emergence of countless new extravagant theories. A new simplified theory of the natural world is necessary, a simple theory that provides a verifiable framework on which new discoveries can be integrated. The paper describes a view of the abstract time/space concept, and also a very simple model of our ever-changing universe. Views of physicists, mathematicians, chemists, engineers and of course philosophers have to be all in harmony with such a theory. We leave in a beautiful, uniform, and logical world. We live in a world where everything probable is possible. Contact email: gondork@yahoo.com . (shrink)

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 (...) believe, that we consider how space itself relates to reality, and how other so-called "spaces" used in physics relate to reality. In chapter 2, I compare space and space-time to other spaces used in physics, such as configuration space, phase space and Hilbert space. I support what is known as the "property view" of space, opposing both the traditional views of space and space-time, substantivalism and relationism. I argue that all these spaces are property spaces. After examining the relationships of these spaces to causality, I argue that configuration space has, due to its role in quantum mechanics, a special status in the microscopic world similar to the status of position space in the macroscopic world. In chapter 3, prespace itself is considered. One way of approaching this structure is through the comparison of the prespace structure with a computational system, in particular to a cellular automaton, in which space or space-time and all other physical quantities are broken down into discrete units. I suggest that one way open for a prespace metaphysics can be found if physics is made fully discrete in this way. I suggest as a heuristic principle that the physical laws of our world are such that the computational cost of implementing those laws on an arbitrary computational system is minimized, adapting a heuristic principle of this type proposed by Feynman. In chapter 4, some of the ideas of the previous chapters are applied in an examination of the physics and metaphysics of quantum theory. I first discuss the "measurement problem" of quantum mechanics: this problem and its proposed solution are the primary subjects of chapter 4. It turns out that considering how quantum theory could be made fully discrete leads naturally to a suggestion of how standard linear quantum mechanics could be modified to give rise to a solution to the measurement problem. The computational heuristic principle reinforces the same solution. I call the modified quantum mechanics Critical Complexity Quantum Mechanics (CCQM). I compare CCQM with some of the other proposed solutions to the measurement problem, in particular the spontaneous localization model of Ghirardi, Rimini and Weber. Finally, in chapters 5 and 6, I argue that the measure of complexity of quantum mechanical states I introduce in CCQM also provides a new definition of entropy for quantum mechanics, and suggests a solution to the problem of providing an objective foundation for statistical mechanics, thermodynamics, and the arrow of time. (shrink)

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 (...) in the absence of answers to fundamental metaphysical questions like the substantivalist/relationist debate. (shrink)

La rivoluzionarietà della speculazione bruniana si esercita nei confronti della tradizione di alcuni testi aristotelici fondamentali nella trasmissione del pensiero e della civiltà occidentale. In modo principale essa attacca e demolisce i capisaldi della "Metafisica" di Aristotele, per poter cominciare ad affermare - o, se si vuole, a riaffermare - il principio dell'infinito creativo e doppiamente dialettico. Il breve saggio segue la formulazione e lo sviluppo progressivo del testo aristotelico attraverso la critica esposta dalla riflessione bruniana. Alla fine viene presentata (...) una breve bibliografia bruniana. (shrink)

My article began as a very short 250 words inspired by astrophysicist Jeff Hester's (pro-evolution) pages on entropy (Astronomy magazine - Oct. and Nov. 2017 - http://www.astronomy.com/magazine/jeff-hester/2017/09/entropys-rainbow and http://www.astronomy.com/magazine/jeff-hester/2017/10/entropy-redux). The letter I wrote pointed out evolution's pluses (eg adaptations) and minuses (regarding origins). It went on to speak of a human, scientific, entirely natural explanation for what is called God. It proposes that the true human condition after death and before birth is as a member of the Elohim - a (...) name used for God in the Old Testament which, according to World Book Encyclopedia, means the PLURAL MAJESTY OF THE ONE GOD. This led to a few hundred more words about why some people call an entirely natural process "supernatural". I speculate that it must be because of the applications in thousands of years of finding a successful theory of quantum gravity (union of quantum mechanics and Einstein's theory of gravity - general relativity). Like quantum mechanics and gravitation, those apps would include all space and all time, and would undoubtedly be as mysterious to us as our technology would initially be to the builders of Egypt's first pyramids. In years past, the denial of divine beings by science may have been logical. But times sometimes change radically. Such a paradigm shift seems to be upon us now, with the recent discovery of gravitational waves and the anticipation of quantum gravity. In changing times, scientists and philosophers and everyone must always keep open minds. Of course, proposing that the human condition after death and before birth is as a member of the Elohim means that humans of the far distant future must be capable of the creation attributed to God by many people throughout the centuries. Therefore, a subsection entitled "Creation Of The Infinite, Eternal Cosmos Using Electronic BITS, Pi And Imaginary Time" has been added to the end of this article. -/- . (shrink)

I will defend two claims. First, Schaffer's priority monism is in tension with many research programs in quantum gravity. Second, priority monism can be modified into a view more amenable to this physics. The first claim is grounded in the fact that promising approaches to quantum gravity such as loop quantum gravity or string theory deny the fundamental reality of spacetime. Since fundamental spacetime plays an important role in Schaffer's priority monism by being identified with the fundamental structure, namely the (...) cosmos, the disappearance of spacetime in these views might undermine classical priority monism. My second claim is that priority monism can avoid this issue with two moves: first, in dropping one of its core assumption, namely that the fundamental structure is spatio-temporal, second, by identifying the connection between the non-spatio-temporal structure and the derivative spatio-temporal structure with mereological composition. (shrink)

The impossibility of an indeterministic evolution for standard relativistic quantum field theories, that is, theories in which all fields satisfy the condition that the generators of space-time translation have spectra in the forward light-cone, is demonstrated. The demonstration proceeds by arguing that a relativistically invariant theory must have a stable vacuum and then showing that stability of the vacuum, together with the requirements imposed by relativistic causality, entails deterministic evolution, if all degrees of freedom are standard degrees of freedom.

Over the last two centuries, the relationship between philosophy and science has completely broken down, so the question we are confronted with is: How can we develop a new philosophy, which will influence science decisively? The physicists of the last century rejected their contemporary philosophy. They considered that “philosophy today is dead” (Hawking and Mlodinow 2010). However, we believe that the great scientific problems are always philosophical, and only philosophical problems. Therefore, these problems can be solved only by philosophers and (...) scientists who operate at the greatest level of thinking: that of the “paradigm of thinking”. In fact, these great scientific problems can usually be solved by changing the “paradigm of thinking” for scientists. This book furnished more applications of the “epistemologically different worlds” (that replaced the “world”/”universe” – in their previous books (2008, 2010, 2011, etc.), the authors indicated that the notion of the world/universe is wrong). Following Aristotle’s “Prime Mover” (or the “Unmoved Mover”), we stop the regress ad infinitum by discovering the first EW, the EW0 (the Hypernothing). Even if one EW does not exist for any EDW, the Hypernothing was the first EW and all other EDWs correspond to the EW0. Chapter 2 is about the “Hypernothing”. The other chapters continue our works of applying the EDWs to different concepts/areas of Physics: quantum mechanics, elementary particles, thermodynamics (with its main notion, “entropy”), etc. In the last chapter, knowing that Einstein’s special and general theory of relativity are very correct (but in a book 2016 we showed that “spacetime” cannot ontologically exist), we re-write both theories without “spacetime”. Content, Introduction and Chapter 1, FREE at https://www.amazon.com/s/ref=nb_sb_noss_1?url=search-alias%3Daps&field-keywords=gabriel+vacariu&rh=i %3Aaps%2Ck%3Agabriel+vacariu . (shrink)

Relationships between current theories, and relationships between current theories and the sought theory of quantum gravity (QG), play an essential role in motivating the need for QG, aiding the search for QG, and defining what would count as QG. Correspondence is the broad class of inter-theory relationships intended to demonstrate the necessary compatibility of two theories whose domains of validity overlap, in the overlap regions. The variety of roles that correspondence plays in the search for QG are illustrated, using examples (...) from specific QG approaches. Reduction is argued to be a special case of correspondence, and to form part of the definition of QG. Finally, the appropriate account of emergence in the context of QG is presented, and compared to conceptions of emergence in the broader philosophy literature. It is argued that, while emergence is likely to hold between QG and general relativity, emergence is not part of the definition of QG, and nor can it serve usefully in the development and justification of the new theory. (shrink)

La physique contemporaine pourrait bien nous livrer un enseignement incroyable, à savoir que l'espace et le temps n'existent pas fondamentalement. Je présenterai succinctement les ontologies suggérées par les deux principaux programmes de recherche en gravité quantique : la théorie des cordes et la gravité quantique à boucles. Je soutiendrai ensuite qu'il est fructueux de prendre les différentes conceptions ontologiques de la conscience en philosophie de l'esprit en modèles pour la construction de solutions au problème de l'émergence de l'espace-temps.

Leibniz’s main thesis regarding the nature of space is that space is relational. This means that space is not an independent object or existent in itself, but rather a set of relations between objects existing at the same time. The reality of space, therefore, is derived from objects and their relations. For Leibniz and his successors, this view of space was intimately connected with the understanding of the composite nature of material objects. The nature of the relation between space and (...) matter was crucial to the conceptualization of both space and matter. In this paper, I discuss Leibniz’s account of relational space and examine its novel elaborations by two of his successors, namely, the young Immanuel Kant and the Croat natural philosopher Roger Boscovich. Kant’s and Boscovich’s studies of Leibniz’s account lead them to original versions of the relational view of space. Thus, Leibniz’s relational space proved to be a philosophically fruitful notion, as it yielded bold and intriguing attempts to decipher the nature of space and was a key part in innovative scientific ideas. (shrink)

Special relativity has changed the fundamental view on space and time since Einstein introduced it in 1905. It substitutes four dimensional spacetime for the absolute space and time of Newtonian mechanics. It is believed that the validities of Lorentz invariants are fully confirmed empirically for the last one hundred years and therefore its status are canonical underlying all physical principles. However, spacetime metric is a geometric approach on nature when we interpret the natural phenomenon. A geometric flaw on this will (...) be exhibited and the alternative is suggested. The reasonable geometric model of space and time is a three dimensional space which is translating along the time direction. This model legitimately represents the true characteristic of nature. (shrink)

This essay revisits some classic problems in the philosophy of space and time concerning the counting of possibilities. I argue that we should think that two Newtonian worlds can differ only as to when or where things happen and that general relativistic worlds can differ in something like the same way—the first of these theses being quaintly heterodox, the second baldly heretical, according to the mores of contemporary philosophy of physics.

Book Review of The Future of Spacetime, by Stephen Hawking et al.

Quantum electrodynamics presents intrinsic limitations in the description of physical processes that make it impossible to recover from it the type of description we have in classical electrodynamics. Hence one cannot consider classical electrodynamics as reducing to quantum electrodynamics and being recovered from it by some sort of limiting procedure. Quantum electrodynamics has to be seen not as a more fundamental theory, but as an upgrade of classical electrodynamics, which permits an extension of classical theory to the description of phenomena (...) that, while being related to the conceptual framework of the classical theory, cannot be addressed from the classical theory. (shrink)

I develop two problems, which I call the problem of divine location and the problem of divine age, to challenge the theist belief that God created the universe. The problem of divine location holds that it is not clear where God existed before he created the universe. The problem of divine age holds that it is not clear how old God was when he created the universe. I explore several theist responses to these two problems, and argue that all of (...) them are problematic under the existing conceptions of space and time in physics. The philosophical magnitudes of these two problems are equal to that of the problem of evil. (shrink)

The Simulation Hypothesis proposes that all of reality is in fact an artificial simulation, analogous to a computer simulation. Outlined here is a method for programming relativistic mass, space and time at the Planck level as applicable for use in Planck Universe-as-a-Simulation Hypothesis. For the virtual universe the model uses a 4-axis hyper-sphere that expands in incremental steps (the simulation clock-rate). Virtual particles that oscillate between an electric wave-state and a mass point-state are mapped within this hyper-sphere, the oscillation driven (...) by this expansion. Particles are assigned an N-S axis which determines the direction in which they are pulled along by the expansion, thus an independent particle motion may be dispensed with. Only in the mass point-state do particles have fixed hyper-sphere co-ordinates. The rate of expansion translates to the speed of light and so in terms of the hyper-sphere co-ordinates all particles (and objects) travel at the speed of light, time (as the clock-rate) and velocity (as the rate of expansion) are therefore constant, however photons, as the means of information exchange, are restricted to lateral movement across the hyper-sphere thus giving the appearance of a 3-D space. Lorentz formulas are used to translate between this 3-D space and the hyper-sphere co-ordinates, relativity resembling the mathematics of perspective. (shrink)

A general sketch on how the problem of space dimensionality depends on anthropic arguments is presented. Several examples of how life has been used to constraint space dimensionality (and vice-versa) are reviewed. In particular, the influences of three-dimensionality in the solar system stability and the origin of life on Earth are discussed. New constraints on space dimensionality and on its invariance in very large spatial and temporal scales are also stressed.

Recenzja książki: Andrzej Pelczar, Czas i dynamika. O czasie w równaniach różniczkowych i układach dynamicznych, OBI--Kraków, Biblos-Tarnów 2003, ss. 117.

The theoretical contradiction between General Relativity and Quantum Gravity about gravity was ended, since spacetime is not structural property of the gravitational fi eld like Einstein said. Exactly spacetime is the structural geometric property of the matter and energy that it gives their geometric dimensions. Thus, spacetime is not continent of the matter (Substantialism), since it is contained. Neither is the category of the relations between material bodies or between their events (Relationalism) since is not relational property; spacetime is structural (...) property. The particle-wave, of matter and eld, has intrinsically three spatial dimensions and one temporal dimension. The spacetime is intrinsically the structural quality of particle-wave. The spacetime is the geometric dimensions of the particle-wave itself and for others. Therefore, the matter and its movements are containing itself. Now only Quantum Gravity is possible. (shrink)

I argue that Leibniz's treatment of void or empty space in the appendix to his fourth letter to Clarke conflicts with the way he elsewhere treats (metaphysical) evil, insofar as he allows that God has created a world with the one kind of privation (evil), while insisting that God would not have created a world with the other kind of privation (void). I consider three respects in which the moral case might be thought to differ relevantly from the physical one, (...) and argue that none of them succeed in removing the inconsistency. Rather than denying the existence of void, Leibniz should have been led by his treatment of evil to realize that the arguments he deploys in this appendix are dubious, and that the principles to which he appeals do not rule out empty space any more than they rule out evil, darkness, cold, or any other privations. (shrink)

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 (...) presenting the material with an original spin, guided by a particular understanding of fundamental physical theories, the so-called primitive ontology approach. (shrink)