As John Henry states, Newton simply wants to reaffirm the truth of God’s omnipresence without directly involving him in the physics of the world system. Newton simply wants to distance himself from a Cartesian concept of God and convince the atheists that God is a real presence extended in the world. God must exist in space for the space to exist, but God does not only act through contact. Henry believes that Andrew Janiak and Hylarie Kochiras give us a wrong picture of a Newton who believes in opportunism. Newton, Henry asserts, has always assumed that God acted through secondary causes:
DOI: 10.13140/RG.2.2.35495.39846
Category: Science
The Ontology of General Relativity
General Relativity generated various early philosophical interpretations. His adherents have highlighted the “relativization of inertia” and the concept of simultaneity, Kantians and Neo-Kantians have underlined the approach of certain synthetic “intellectual forms” (especially the principle of general covariance, and logical empirics have emphasized the philosophical methodological significance of the theory.
Reichenbach approached the GR through the “relativity of geometry” thesis, trying to build a “constructive axiomatization” of relativity based on “elementary matters of fact” (Elementartatbestande) for the observable behavior of light rays, rods and clocks.
The mathematician Hermann Weyl attempted a reconstruction of Einstein’s theory based on the epistemology of a “pure infinitesimal geometry”, an extended geometry with additional terms that formally identified with the potential of the electromagnetic field.
DOI: 10.13140/RG.2.2.11641.93281
Space, time, and time travel
Newton supported the idea of absolute time, unlike Leibniz, for which time is only a relation between events and cannot be expressed independently, a statement in concordance with the relativity of space-time.
Eternalism claims that the past and the future exist in a real sense, going to the idea that time is a dimension similar to spatial dimensions, that future and past events are “present” on the axis of time, but this view is challenged. On four-dimensional vision, the universe is an existing space-time topology, containing everything that has happened, everything that happens and everything that’s going to happen. It follows that there is no singular moment to be considered as insignificant as present. Time travel is possible if the four-dimensional vision including the time is correct, but it is not possible if presentism is true. William Godfrey-Smith says that “the metaphysical image underlying the discussion of time travel is that of the universe block, in which the world is conceived as extended in time as it is in space.”
DOI: 10.13140/RG.2.2.18575.64163
Science and pseudoscience – Falsifiability
The delimitation between science and pseudoscience is part of the more general task of determining which beliefs are epistemologically justified. Standards for demarcation may vary by domain, but several basic principles are universally accepted.
Karl Popper proposed falsifiability as an important criterion in distinguishing between science and pseudoscience. He argues that verification and confirmation can play no role in formulating a satisfactory criterion of demarcation. Instead, it proposes that scientific theories be distinguished from non-scientific theories by testable claims that future observations might reveal to be false.
DOI: 10.13140/RG.2.2.29821.61926
Grandfather paradox in time travel
The most well-known example of the impossibility of traveling in time is the grandfather paradox or self-infanticide argument: a person who travels in the past and kills his own grandfather, thus preventing the existence of one of his parents and thus his own existence. A philosophical response to this paradox would be the impossibility of changing the past, like Novikov self-consistency principle (if an event exists that would cause a paradox or any “change” to the past whatsoever, then the probability of that event is zero, thus it would be impossible to create time paradoxes).
DOI: 10.13140/RG.2.2.31279.79521
Karl Popper’s demarcation problem
Karl Popper, as a critical rationalist, was an opponent of all forms of skepticism, conventionalism and relativism in science. A major argument of Popper is Hume’s critique of induction, arguing that induction should never be used in science. But he disagrees with the skepticism associated with Hume, nor with the support of Bacon and Newton’s pure “observation” as a starting point in the formation of theories, as there are no pure observations that do not imply certain theories. Instead, Popper proposes falsifiability as a method of scientific investigation.
DOI: 10.13140/RG.2.2.11481.36967
Classical theory of singularities
The singularities from the general relativity resulting by solving Einstein’s equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case?
DOI: 10.13140/RG.2.2.22006.45124
Hooke’s claim on the law of gravity
Based on Galileo’s experiments, Newton develops the theory of gravity in his first book Philosophiæ Naturalis Principia Mathematica (“Principia“) of 1686. Immediately after, Robert Hooke accused Newton of plagiarism, claiming that he unduly assumed his “notion” of “the rule of the decrease of Gravity, being reciprocally as the squares of the distances from the Center”. But, according to Edmond Halley, Hooke agreed that “the demonstration of the curves generated by it” belongs entirely to Newton.
DOI: 10.13140/RG.2.2.16867.81441
The singularities as ontological limits of the general relativity
The singularities from the general relativity resulting by solving Einstein’s equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case?
In this essay I argue that there are singularities, and the general theory of relativity, as any other scientific theory at present, is not valid for singularities. But that does not mean, as some scientists think, that it must be regarded as being obsolete.
After a brief presentation of the specific aspects of Newtonian classical theory and the special theory of relativity, and a brief presentation of the general theory of relativity, the chapter Ontology of General Relativity presents the ontological aspects of general relativity. The next chapter, Singularities, is dedicated to the presentation of the singularities resulting in general relativity, the specific aspects of the black holes and the event horizon, including the Big Bang debate as original singularity, and arguments for the existence of the singularities. In Singularity Ontology, I am talking about the possibilities of ontological framing of singularities in general and black holes in particular, about the hole argument highlighted by Einstein, and the arguments presented by scientists that there are no singularities and therefore that the general theory of relativity is in deadlock. In Conclusions I outline and summarize briefly the arguments that support my above views.
CONTENTS
Abstract
Introduction
– – – Classical Theory and Special Relativity
– – – General Relativity (GR)
1 Ontology of General Relativity
2 Singularities
– – – Black Holes
– – – – – – Event Horizon
– – – Big Bang
– – – Are there Singularities?
3 Ontology of Singularities
– – – Ontology of black holes
– – – The hole argument
– – – There are no singularities
Conclusions
Notes
Bibliography
DOI: 10.13140/RG.2.2.14521.06241/1
The singularities as ontological limits of the general relativity
Newton’s action at a distance – Different views
Different authors have attempted to clarify the aspects of remote action and God’s involvement on the basis of textual investigations, mainly from the Mathematical Principles of Natural Philosophy, (Newton, 1999b) Newton’s correspondence with Richard Bentley (1692/93), (Bentley 1693) and Queries that Newton introduced at the end of the Opticks book in the first three editions (between 1704 and 1721). (Newton 1952)
DOI: 10.13140/RG.2.2.12870.11844