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]
- Euler’s “internal causes” – Work in progress
Gravity
On the Hypothesis that gravity is a necessary consequence of the relativity of 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
Leveraging hypotheses derived from "Mach's principle" to put explanatory constraints on the geometry and structure 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
Relative Motion 