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On the incompleteness of special relativity 1/3

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Relativity Theory

Language:

English

Date Published:

February 09, 2026

File:

/Research Papers-Relativity Theory/Download/10264

Downloads:

164

Keywords:

Distancing, universal distancing, absolute distancing sign, absolute space, Lorentz Transformation, local simultaneity, special relativity, formal incompleteness.

Abstract:

This article introduces the concept of distancing between two moving physical objects that are approaching each other, or moving away from each other. The sign of this distancing is defined as positive if both objects are moving away from each other and negative if they are moving toward each other. It is then formally proved, within the framework of special relativity, the absolute nature of the sign so defined: it is the same for all inertial reference frames. The problem is that it is also proved, within the same frame, that this sign is not always the same in different inertial reference systems. We are then faced with a duality: either the theory of relativity is incomplete and certain physical processes, such as the distancing of two moving objects, fall outside its scope of study, or else the theory is inconsistent. In the most favorable case of incompleteness, we would have to admit that special relativity cannot analyze one of the most common mechanical processes in the observable universe: the distancing between its moving objects.

Comments

J. Zwarts(Netherlands):

In my first comment I already showed that the conclusion in the paper is wrong.
Here an error I found:
In section 3. (γ.d01.kv/c) is multiplied by (ka.c).
The result has no meaning because (γ.d01.kv/c) is a time difference in RFv (=tA'-tB') and (ka.c) is vA in RFo.
They belong to different reference frames.

Somebody who uses Special Relativity and finds inconsistencies or contradictions, does not apply the theory correctly.

Posted: December 23, 2025 @ 10:35:34 am

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J. Zwarts(Netherlands):

Let's keep it simple.
A and B move at speeds vA and vB relative to frame O in x-direction.
The distance between A and B changes relative to O with speed vA-vB, called closing speed.
According to relativity theory, vA and vB are limited to lightspeed c; so vA-vB is limited to 2c.
(Except for the limitation of the speeds, this is not different from classical theory).
Speed uB of B relative to A can be found from vB=(vA+uB)/(1+vA.uB/c^2)

Let frame O1 move at speed v relative to O in x-direction.
In O1 the speeds of A and B are vA1=(vA+v)/(1+v.Av/c^2) and vB1=(vB+v)/(1+vB.v/c^2).
Allways: vA-vB and vA1-vB1 have the same sign.

Posted: December 09, 2025 @ 1:38:06 pm

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