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Euclidean Relativity 


Euclidean relativity, both special and general, is gaining attention as a viable alternative to the Minkowski framework. The links section gives a short overview of its main characteristics together with a number of references to articles on Euclidean relativity published by other authors.

The Euclidean interpretation of special relativity that you will find on this site provides arguments for a geometrical unification of gravity and electromagnetism, which is worked out in another article. From this unification follows the proposal to regard mass particles themselves, instead of gravitons, as bosons following null geodesics in 5D gravity.

The full text of articles is available in web form and as downloadable PDF documents. A simplified and popularized version is also available that should take no more than 30 minutes to read and will get you in the "right mood".

A number of speculative ideas, directly or indirectly building on these articles, are over time being worked out here. A fractal-like universe is described where the four forces of nature together with their fermions and bosons are ordered hierarchically through their number of dimensions.

New 3D graph for relativistic addition of velocities


3D graph for relativistic addition of velocities as derived from the Euclidean interpretation



Articles

Dimensions in Special Relativity Theory- A Euclidean Interpretation
A Euclidean interpretation of special relativity is given wherein proper time
t  acts as the fourth Euclidean coordinate and time t becomes a fifth Euclidean dimension. Velocity components in both space and time are formalized while their vector sum in four dimensions has invariant magnitude c. Classical equations are derived from this Euclidean concept. The velocity addition formula shows a deviation from the standard one; an analysis and justification is given for that.
Full text: in PDF (September 2005) or online in web form 
(Galilean Electrodynamics Vol 18 nr 1, Jan/Feb 2007).

Mass Particles as Bosons in Five Dimensional Euclidean Gravity
Velocities in both space and time are formalized and generalized for n-dimensional Euclidean spaces. Applied to photons and mass particles, this implies a dimensional hierarchy between their velocities. It is suggested that mass particles, that are fermions in 4D, behave like bosons in 5D gravity where they follow null geodesics. Some speculations on alternative propulsion mechanisms are made.
Full text: in PDF (Revised May 2007) or online in web form.

Minkowski versus Euclidean 4-vectors
Minkowski 4-vectors are written in Euclidean form. It is shown that in this way the physical meaning of their components can be made more intuitive and directly associated with geometric properties in Euclidean space-time.
Full text: in PDF (February 2006) or online in web form.

Propulsion without propellant exploiting four-momentum of photons in Euclidean special relativity
An alternative method to accelerate particles or objects is described. It uses principles of 4D momentum that follow from Euclidean special relativity.
Full text: in PDF (April 2008) or online in web form.

Classic 3D graph for relativistic addition of velocities


3D graph of classical equation for relativistic addition of velocities


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Author: R.F.J. (Rob) van Linden. Read about the author

© Copyright 2003-2008 R.F.J. van Linden
Updated April 26th, 2008

 

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Home Euclidean SRT Bosons in 5D Gravity 4-vectors Propulsion Relativity Simplified Fractal Universe ER Links About the author