PhD Thesis
- J. Fay: On the relativity of motion (2026)
- Note: several chapters need improvements before being publication-ready as their own papers; the thesis was completed in a hurry.
Space
Space conceived as passive must be Euclidean
Inertia
Distinguishing Mach's principle from his hypotheses; the neglected role of environmental circumstances in causation
- J. Fay: Mach’s principle and Mach’s hypotheses (2024) [published by Studies in the History and Philosophy of Science]
- The case for causal monism (critique of Euler, forthcoming)
Gravity
Can gravity be explained as a necessary side-effect of relative-inertia?
- J. Fay and D. Braun: On Reissner’s hypothesis: A review of 20th Century relational models for the unification of gravity and inertia (Forthcoming) [preprint]
- Translation of: H. Reissner: On the possibility of deriving gravity as the direct consequence of the relativity of inertia (1915) [imperfect translation]
- Translation of: W. Hofmann: Critical Examination of the Two Fundamental Concepts of Mechanics: Motion and Inertia (1904)
- Translation of: A. Föppl: On Absolute and Relative Motion (1905)
- Youtube videos on this topic:
Cosmology
Can "Mach's principle" be used to constrain admissible (physical) geometries of the cosmos?
- A. Antoniou and J. Fay: Whence the desire to close the universe (forthcoming)
- Discussion of Wheeler and Sciama’s respective Machian programmes for cosmology
- Latest draft – Jan 2026
- Discussion of Weyl’s “Inertia and Cosmos” (1924), in progress.
More cosmology
Examining Milne's philosophy of Science
- Works in progress.

