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Reciprocity Independent Lorentz Transformation
Mathematical Physics · Submitted 18 Dec 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Lorentz transformation is generalized so that Lorentz invariance is maintained if velocities are replaced by corresponding slownesses.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses i.e. relative motion in one dimension is reciprocal symmetric. Reciprocity operation, which converts a velocity to the corresponding slowness, is found. Lorentz transformation is generalized so that Lorentz invariance is maintained if velocities are replaced by corresponding slownesses.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. | contribution 0.43 | 0.85 | 0.05 | asserted 1.00 |
| s1 | It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses i.e. relative motion in one dimension is reciprocal symmetric. | result 0.99 | 0.62 | 0.41 | asserted 1.00 |
| s2 | Reciprocity operation, which converts a velocity to the corresponding slowness, is found. | contribution 0.58 | 0.89 | 0.09 | asserted 1.00 |
| s3 | Lorentz transformation is generalized so that Lorentz invariance is maintained if velocities are replaced by corresponding slownesses. | contribution 0.93 | 0.89 | 0.70 | asserted 1.00 |
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The paper
Original abstract
We have defined slowness (or reciprocal velocity, corresponding to velocity v) as cc/v, where c is the speed of light. It is observed that the relative velocity remains invariant if the velocities are replaced by corresponding slownesses i.e. relative motion in one dimension is reciprocal symmetric. Reciprocity operation, which converts a velocity to the corresponding slowness, is found. Lorentz transformation is generalized so that Lorentz invariance is maintained if velocities are replaced by corresponding slownesses.
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