Inflation in Cosmology

We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what may (...) be labelled a finitary, evidence-based, `agnostic' perspective and argue that Brouwerian atheism is merely a restricted perspective within the finitary agnostic perspective, whilst Hilbertian theism contradicts the finitary agnostic perspective. -/- We then consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary, evidence-based, definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways. -/- We show that the two definitions correspond to two distinctly different---not necessarily evidence-based but complementary---assignments of satisfaction and truth to the compound formulas of PA over N. -/- We further show that the PA axioms are true over N, and that the PA rules of inference preserve truth over N, under both the complementary interpretations; and conclude some unsuspected constructive consequences of such complementarity for the foundations of mathematics, logic, philosophy, and the physical sciences. -/- . (shrink)

Outlined here is a simulation hypothesis approach that uses an expanding (the simulation clock-rate measured in units of Planck time) 4-axis hyper-sphere and mathematical particles that oscillate between an electric wave-state and a mass (unit of Planck mass per unit of Planck time) point-state. Particles are assigned a spin axis which determines the direction in which they are pulled by this (hyper-sphere pilot wave) expansion, thus all particles travel at, and only at, the velocity of expansion (the origin of $c$), (...) however only the particle point-state has definable co-ordinates within the hyper-sphere. Photons are the mechanism of information exchange, as they lack a mass state they can only travel laterally (in hypersphere co-ordinate terms) between particles and so this hypersphere expansion cannot be directly observed, relativity then becomes the mathematics of perspective translating between the absolute (hypersphere) and the relative motion (3D space) co-ordinate systems. A discrete `pixel' lattice geometry is assigned as the gravitational space. Units of $\hbar c$ `physically' link particles into orbital pairs. As these are direct particle to particle links, a gravitational force between macro objects is not required, the gravitational orbit as the sum of these individual orbiting pairs. A 14.6 billion year old hyper-sphere (the sum of Planck black-hole units) has similar parameters to the cosmic microwave background. The Casimir force is a measure of the background radiation density. (shrink)

This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a cause (...) for its beginning to exist, (P2) physical reality began to exist, and, therefore, (C) physical reality has a cause for its beginning to exist. While the KCA has traditionally been used to argue for God's existence, the KCA does not mention God, has been rejected by historically significant Christian theologians such as Thomas Aquinas, and raises perennial philosophical questions -- about the nature and history of physical reality, the nature of time, the nature of causation, and so on -- that should be of interest to all philosophers and, perhaps, all humans. While I am not a religious person, I am interested in the questions raised by the KCA. In this dissertation, I articulate three necessary conditions that physical reality would need to fulfill in order to have had a beginning and argue that, given the current state of philosophical and scientific inquiry, we cannot determine whether physical reality began to exist. -/- Friends of the KCA have sought to defend their view that physical reality began to exist in two distinct ways. As I discuss in chapter 2, the first way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a priori arguments meant to show that, as a matter of metaphysical necessity, the past must be finite. If the past is necessarily finite, then the past history of physical reality is necessarily finite. And if having a finite past suffices for having a beginning, then, since the past history of physical reality is necessarily finite, physical reality necessarily began to exist. I show that the arguments which have been offered thus far for the view that the past is necessarily finite do not succeed. Moreover, as I elaborate on in chapter 5, having a finite past does not suffice for having a beginning. -/- As I discuss in chapter 3, the second way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a posteriori arguments meant to show that we have empirical evidence that physical reality has a finite past history. For example, the big bang is sometimes claimed to have been the beginning of physical reality and, since we have excellent empirical evidence for the big bang, we have excellent empirical evidence for the beginning of physical reality. The big bang can be understood in two ways. On the one hand, the big bang can be understood as a theory about the history and development of the observable universe. Understood in that sense, then I agree that the big bang is supported by excellent empirical evidence and by a scientific consensus. On the other hand, some authors (particularly science popularizers, science journalists, and religious apologists) have wrongly interpreted big bang theory as a theory about the beginning of the whole of physical reality. As I argue, while a beginning of physical reality may be consistent with classical big bang theory, classical big bang theory does not provide good reason for thinking that physical reality began to exist. -/- In part II, I turn to discussing three necessary, but not necessarily sufficient, conditions for physical reality to have a beginning. Before discussing the three conditions, in chapter 4, I introduce three metaphysical accounts of the nature of time (A-theory, B-theory, and C-theory) as well as some formal machinery that will subsequently become useful in the dissertation. I introduce the first of the three conditions in chapter 5. According to the Modal Condition, physical reality began to exist only if, at the closest possible worlds without time, physical reality does not exist. I show that this condition helps us to make sense of various views in both theology and philosophy of physics. In chapter 6}, I introduce the second of my three conditions, the Direction Condition, according to which, roughly, physical reality began to exist only if all space-time points agree about the direction of time, so that all space-time points can agree that physical reality's putative beginning took place in their objective past. In chapter 7, I discuss the third condition, the Boundary Condition, according to which physical reality began to exist only if there is a past temporal boundary such that physical reality did not exist before the boundary. I show that there are two senses in which physical reality could be said to have had a past temporal boundary. Lastly, in chapter 8, I show that there is a relationship between my three conditions and classical big bang theory, even though the relationship is not the one usually identified in the literature. -/- In part III, I present four arguments for the view that, at the present stage of philosophical and scientific inquiry, we cannot know whether physical reality satisfies the three necessary conditions to have had a beginning and, consequently, we cannot know whether physical reality had a beginning. As I will prove in chapter 9, no set of observations that we currently have, when conjoined with General Relativity, entails that physical reality satisfies the Direction or Boundary Conditions. As I show in chapter 10, considerations in the philosophical foundations of statistical mechanics entail either that the Cosmos violates the Modal Condition or else that there is a transcendental condition on the possibility of our knowledge of the past that prevents our access to data we would need to gather to determine whether physical reality satisfies the Boundary Condition. In chapter 11, I show that there are a number of live cosmological models according to which physical reality does not satisfy the Boundary Condition. As long as we don't know whether any of those cosmological models are correct, we do not know whether physical reality satisfies the Boundary Condition. Lastly, I turn to confirmation theory and show that, at our present stage of inquiry, ampliative inferences for the conclusion that physical reality satisfies the Modal, Direction, and Boundary Conditions are not successful. (shrink)

As a candidate theory of quantum gravity, the popularity of string theory has waxed and waned over the past four decades. One current source of scepticism is that the theory can be used to derive, depending upon the input geometrical assumptions that one makes, a vast range of different quantum field theories, giving rise to the so-called landscape problem. One apparent way to address the landscape problem is to posit the existence of a multiverse; this, however, has in turn drawn (...) heightened attention to questions regarding the empirical testability and predictivity of string theory. We argue first that the landscape problem relies on dubious assumptions and does not motivate a multiverse hypothesis. Nevertheless, we then show that the multiverse hypothesis is scientifically legitimate and could be coupled to string theory for other empirical reasons. Looking at various cosmological approaches, we offer an empirical criterion to assess the scientific status of multiverse hypotheses. (shrink)

In this paper we apply the popular Best System Account of laws to typical eternal worlds – both classical eternal worlds and eternal worlds of the kind posited by popular contemporary cosmological theories. We show that, according to the Best System Account, such worlds will have no laws that meaningfully constrain boundary conditions. It’s generally thought that lawful constraints on boundary conditions are required to avoid skeptical arguments. Thus the lack of such laws given the Best System Account may seem (...) like a severe problem for the view. We show, however, that at eternal worlds, lawful constraints on boundary conditions do little to help fend off skeptical worries. So with respect to handling these skeptical worries, the proponent of the Best System Account is no worse off than their competitors. (shrink)

This paper deals with the philosophical issues of the notion of nothingness and pre-inflationary stage of the universe in physical cosmology. We presuppose that, in addition to cosmological limits, there may be both anthropic and computational limits for our ability to understand and replicate the conditions before the Big Bang. That is, the very notion of nothingness and pre-Big Bang state may be conceptually, but not computationally grasped.

I present a recent historical case from cosmology—the story of inflationary cosmology—and on its basis argue that solving explanatory problems is a reliable method for making progress in science. In particular, I claim that the success of inflationary theory at solving its predecessor’s explanatory problems justified the theory epistemically, even in advance of the development of novel predictions from the theory and the later confirmation of those predictions.

This is one of the best popular cosmology books ever written and Guth is now (2016) a top physics Professor at MIT. He tells the extremely complex story of inflation and related areas of particle physics in such an absorbing style that it reads like a detective novel-in fact, it is a detective novel-how he and others found out how the universe started! The interweaving of his personal story and that of many colleagues along with their photos and many wonderfully (...) clear diagrams allows just the right amount of relaxation from the intensity of the physics. In places the style reminds one of Watson´s famous book ``The Double Helix``. He tells how his work on magnetic monopoles and spontaneous symmetry breaking led to the discovery of the inflationary theory of the very early universe (ca. 10 to minus 35 seconds!). -/- Along the way you will learn many gems that should stay with you a long time such as: the observed universe(e.g., everything the Hubble telescope etc. can see out to ca. 15 billion light years when the universe began) is likely just a vanishingly tiny part of the entire inhomogeneous universe which is about 10 to the 23rd times larger; the big bang probably took place simultaneously and homogeneously in our observed universe; there probably have been and will continue to be an infinite number of big bangs in an infinite number of universes for an infinite time; when a bang happens, everything(space, time, all the elements) from the previous universe are destroyed; the stretching of space can happen at speeds much greater than the speed of light; our entire observed universe lies in a single bubble out of an endless number so there may be trillions of trillions just in our own entire(pocket) universe(and there may be an endless number of such); none of these infinite number of universes interact-i.e., we can never find out anything about the others; each universe started with its own big bang and will eventually collapse to create a new big bang; all this implies that the whole universe is fractal in nature and thus infinitely regresses to ever more universes(which can lead one to thinking of it as a giant hologram); disagreements between the endless(hundreds at least) variations of inflation are sometimes due to lack of awareness that different definitions of time are being used; some theories suggest that there was a first big bang but we can never find out what happened before it; nevertheless it appears increasingly plausible that there was no beginning but rather an eternal cycle of the destruction and creation, each being the beginning of spacetime for that universe; to start a universe you need about 25g of matter in a 10 to minus 26cm diameter sphere with a false vacuum and a singularity(white hole). -/- He deliberately spends little time on the endless variants of inflation such as chaotic, expanded and supernatural inflation or on dark matter´, supersymmetry and string theory, though they were well known at the time as you can find by reading other books such as Michio Kaku´s `Hyperspace` (see my review) and countless others. Of course much has happened since this book appeared but it still serves as an excellent background volume so cheap now it’s free for the cost of mailing. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019). (shrink)

Dark matter and dark energy. Two notions that have troubled cosmologists for a long time. Why? Because they don’t have a “satisfactory” definition, and nobody can identify the “matter” or “forces” that govern them. Currently, we can only deduce the existence of these two notions from the strange movement of the galaxies and the manner they move away from one another, with increasing speed. However, these are not the only mysteries that cosmology cannot yet explain. What happened before the Big (...) Bang? Is the universe still expanding (cosmic inflation)? What is the relation between the theory of relativity and the laws of quantum mechanics? What if the answers to all these questions were far more accessible than researchers thought? What if the real “culprit” for their absence was in fact the framework used by cosmologists, a framework that involves the existence of space and time? With the help of the Epistemologically Different Worlds paradigm, Gabriel and Mihai Vacariu aim to offer an answer to all these questions and many others. -/- Content -/- Chapter 1 Epistemologically different worlds Chapter 2 Space and time cannot even exist! 2.1 Leibniz versus Newton 2.2 Space and time, just illusions of human mind 2.3 Spacetime, Einstein’s special theory of relativity, nothing and EDWs Chapter 3 Big Bang, inflation and gravitational waves 3.1 Big Bang and what was immediately after Big Bang: gravitational waves and inflation? 3.2 The results of BICEP2 about Big Bang, gravitational waves and inflation Chapter 4 Dark matter and dark energy 4.1 General information about dark matter and dark energy 4.2 “Haloes”, “structures”, and the “flat universe” 4.3 Does any relationship between dark matter and dark energy exist? 4.4 Do “interactions” of dark particles exist? 4.5 Other problems related to dark matter and dark energy 4.6 The Martian, dark matter and dark energy Chapter 5 Grand Unified Theory and Theory of Everything, the impossible relationship between quantum mechanics and Einstein’s theory of relativity 5.1 Einstein’s theory of relativity and quantum mechanics 5.2 GUT or TOE? Or neither? Conclusion of this book at http://filosofie.unibuc.ro/cv_gabriel_vacariu/conclusion-2016-vacariu-and-vacariu-dark-matter/. (shrink)

Возникший глубокий кризис украинской государственности и идущая там, по сути, гражданская война вынуждают обратиться к причинам постоянных неудач формирования украинского государства. Многие на первый взгляд труднообъяснимые и откро-венно негативные особенности внешней и внутренней политики современной Украины в значительной степени связаны с геополитическими и историческими особенностями формирования государства, менталитета и традициями социально-политической психологии. Очевидно также, что многие отрицательно воздействующие на стабильность государства геополитические и геокультурные факторы прошлого не утратили своего значения до сих пор. Анализу этих факторов и их роли в разные (...) периоды украинской истории и посвящена данная статья. В статье также сделана попытка систематического сравнения истории Украины с историей ее ближайших соседей (России, Белоруссии, Польши), что позволяет лучше понять причины различий исторических судеб в сходных условиях и определить степень влияния соседей на политические модели Украины и ее отдельных областей. (shrink)

Cosmological inflation is widely considered an integral and empirically successful component of contemporary cosmology. It was originally motivated by its solution of certain so-called fine-tuning problems of the hot big bang model, particularly what are known as the horizon problem and the flatness problem. Although the physics behind these problems is clear enough, the nature of the problems depends on the sense in which the hot big bang model is fine-tuned and how the alleged fine-tuning is problematic. Without clear explications (...) of these, it remains unclear precisely what problems inflationary theory is meant to be solving and whether it does in fact solve them. I analyze the structure of these problems and consider various interpretations that may substantiate the alleged fine-tuning. On the basis of this analysis I argue that at present there is no unproblematic interpretation available for which it can be said that inflation solves the big bang model’s alleged fine-tuning problems. (shrink)

Our examination of universal origins and fine-tuning will begin with a discussion of infl ationary scenarios grafted onto Big Bang cosmology and the proof that all infl ationary spacetimes are past-incomplete. After diverting into a lengthy critical examination of the “different physics” offered by quantum cosmologists at the past-boundary of the universe, we will proceed to dissect the inadequacies of infl ationary explanations and string-theoretic constructs in the context of three cosmological models that have received much attention: the Steinhardt-Turok cyclic (...) ekpyrotic model (which does not invoke inflation), the Gasperini-Veneziano pre-Big Bang infl ationary model, and the inflationary string landscape model advanced by Susskind, Polchinski, Bousso, and Linde. We will argue that none of these highly speculative string cosmologies removes the necessity of a beginning to the process of universe generation, and we will emphasize the implications of this fact. Then, since the inflationary “mechanism” only really addresses the fi ne-tuning of the initial conditions of the universe and not the conditions embodied in its finely tuned laws and constants, we will analyze the adequacy of the string multiverse in its three versions (cyclic ekpyrotic, pre-Big Bang, and landscape) for explaining the nomological structure and values of these precisely tuned life-compatible universal parameters. When all is said and done, it will be clear that transcendent intelligent agency is not just the only causally suffi cient and therefore metaphysically sound explanation for universal origins and fine-tuning, but it is also much more parsimonious, elegant, and resonant with meaning than all of the ad hoc machinations of multiverse cosmology. (shrink)

The Journal «Philosophy and Cosmology» (ISSN 2307-3705) was established by Oleg Bazaluk as a press organ of International Society of Philosophy and Cosmology at 2004. This Society was established in the setting of Pereyaslav-Khmelnitskiy State Pedagogical University. Initially the Journal was printed as a special edition of Ukrainian philosophical journal «Sententiae» (one’s Chief Editor is Oleg Khoma) and covered academic scientific, philosophical and amateur researches of the space problematic. Since 2008, Journal «Philosopy and Cosmology» is an independent printed issue at (...) the suit of Oleg Khoma. Since 2009, together with coming of G.Alyaev, Journal «Philosopy and Cosmology» has an International status printing advanced researches at the spheres of cosmic education, social philosophy, philosophy of Space, philosophic anthropology, philosophy of cognition, philosophy of science and technology, philosophy of religion, futurology. The Journal printed the papers of leading specialists form Russia: E.Vitol, G.Gladyshev, A.Kononov, S.Krichevskiy, I.Lantsev, T.Lolaev, M.Prokopenko, M.Prokhorov, K.Khrutskiy, V.Yakovlev; from Ukraine: G.Alyaev, O.Bazaluk, I.Vladlenova, G.Zheleznyak, V.Okorokov, N.Malysheva; form Kazakhstan: S.Kolchigin; from Georgia: L.Djakhaia; form USA: A.Khazen. -/- At present scientific-philosophical Journal «Philosophy and Cosmology» is an annual printing issue which focuses on publishing of researches at the sphere of philosophy of Space also with creation of integrated informational area for Space observation and outer space exploration. (shrink)

Philosophy and Cosmology is an open access, peer-reviewed and refereed journal that focuses on theoretical and conceptual problems and issues in philosophical and cosmological research. Philosophy and Cosmology is published by International Society of Philosophy and Cosmology. The objective of Philosophy and Cosmology is to promote exchange and collaboration among philosophers, social, technical and natural science researchers throughout the world. In pursuit of this objective the journal not only publishes high quality research papers but also ensures that the published papers (...) achieve broad international credibility. Philosophy and Cosmology publishes original papers, review papers, conceptual frameworks, analytical and simulation models, case studies, empirical research, and book reviews. At present scientific-philosophical Journal Philosophy and Cosmology is an annual printing issue which focuses on publishing of researches at the sphere of philosophy of Space also with creation of integrated informational area for Space observation and outer space exploration. (shrink)

The Journal «Philosophy and Cosmology» (ISSN 2307-3705) was established by Oleg Bazaluk as a press organ of International Society of Philosophy and Cosmology at 2004. This Society was established in the setting of Pereyaslav-Khmelnitskiy State Pedagogical University. Initially the Journal was printed as a special edition of Ukrainian philosophical journal «Sententiae» (Editor-in-Chief - Oleg Khoma) and covered scientific and philosophical researches of the space problematic. Since 2008, Journal «Philosophy and Cosmology» is an independent printed issue. Since 2009, together with coming (...) of G.Alyaev, Journal «Philosophy and Cosmology» has an International status printing advanced researches at the spheres of: -/- cosmic education, social philosophy, philosophy of Space, philosophic anthropology, philosophy of cognition, philosophy of science and technology, philosophy of religion, futurology, cosmology, philosophy of cosmology. (shrink)