REVIEW 1 cited by
The Hyperbolic Theory of Special Relativity
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
The book is based largely on the author's researches presented at conferences in the period 1992 onwards. It is a historically based exposition and an extension of the hyperbolic version of special relativity first proposed by Vari\'cak (1910 etc) and others not long after the appearance of the early papers of Einstein and Minkowski. The book's approach puts emphasis on the concept of hyperbolic velocity (scaled rapidity) and in this respect differs markedly from the gyro theory of Ungar. New formulations are given in optics relating hyperbolic velocity with logarithmic redshift and in dynamics including a reformulation of Newton's 2nd law in terms of hyperbolic acceleration so avoiding velocity-dependent mass. The concept of differential Minkowski space is introduced and related to the hyperbolic theory and to Carath\'eodory's axiomatic approach to the special theory.
Forward citations
Cited by 1 Pith paper
-
Learning Along the Arrow of Time: Hyperbolic Geometry for Backward-Compatible Representation Learning
HBCT lifts embeddings into Lorentz hyperbolic space, uses entailment cones to keep new embeddings inside old ones' cones, and weights contrastive alignment by an uncertainty estimate, improving backward-compatible ret...
Discussion (0). Sign in to comment.