
Brian ColemanBC Systems GmbH Erlangen Germany
Brian Coleman
B.E. University College Dublin 1968
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Publications (10)
Pondering Enrique Loedel’s 1948 symmetrical spacetime chart whose angle’s sine reflects scaled velocity between inertial reference frames, led in 2004 to a most curious discovery: Angles of a unit sines law ratio spherical triangle geometricise relativistic velocity composition. Overlooked in a paper by Einstein’s colleague Sommerfeld and kept unde...
A priori uniformity and monotonicity of the ‘non-inertial length’ expansion of a uniformly co-accelerating medium, uniquely yield an unfamiliar ‘hemicoid’ real-values metric surface in . hosts congruent helicoidally distributed fixed-l ‘hemix world-lines’ which trace medium increments’ clock times and are crossed by fixed- medium helices of length...
Home and comoving inertial frame parameters of an individual point of an idealized medium of launch length L uniformly co-accelerating between identical fixed-thrust rockets, are well known. Not so the varying inter-rocket radar periods and related implications regarding a changing ‘noninertial own-length’ Λ which differs from a front rocket’s retr...
Conservation of energy, as shown by Coleman (2005 Eur. J. Phys. 26 647-50), leads by virtue of little appreciated identities in a one-dimensional context to equality of particle-frame and 'equivalent' observer-frame forces (Newton's third law of motion relativistically 'upgraded'), to conservation of 'spatial momentum', to conservation of 'temporal...
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Single-spatial dimension intrinsic identities involving a particle's own-acceleration and observer-perceived acceleration, permit 'spatial momentum'—a parameter defined as m dx/dτ—and its spatio-temporal complement m dt/dτ—relabelled 'temporal momentum' in place of the misnomer 'relativistic mass'—to reflect force's traditional link between classic...
In 1898 Henri Poincaré referred to the speed of light as a probable limit speed but rashly asserted it would never as such be experimentally verifiable. Moving space vehicle measurements of the cosmic limit speed, however, without assuming it equals c, were described by Coleman (2003 Eur. J. Phys. 24 301). A more elementary measurement is also poss...
On page 305, the text and equation following equation (14) should read as follows.
If Ω is negative, then at , -z is infinite. Higher-order equi-recessive cascades would reduce this singularity threshold to any desired lower proportion of whatever might be (as mentioned by Rindler [17]); i.e.,
Velocity addition singularity excludes any finite negat...
An overlooked straightforward application of velocity reciprocity to a triplet of inertial frames in collinear motion identifies the ratio of their cyclic relative velocities' sum to the negative product as a cosmic invariant—whose inverse square root corresponds to a universal limit speed. A logical indeterminacy of the ratio equation establishes...