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N. 3 - 21 aprile 2001 - Giano Bifronte

N. 3 - 21 aprile 2001 - Giano Bifronte

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272<br />

(C) The sum of all forces of any nature (gravitational, electric,<br />

magnetic, elastic, nuclear, etc.) acting on any body is always zero in all<br />

frames of reference" (p. 164).<br />

The main result reached by this approach is that the so-called<br />

'fictitious forces' can be seen as the effect of the matter at large in the<br />

universe (described, as far as the derivation of the inertial forces is<br />

concerned, as a spherically isotropic matter shell). The proportionality<br />

between inertial and gravitational mass need not be postulated<br />

independently on experimental grounds, but can be seen as a<br />

consequence of interpreting Newton's second law in terms of relational<br />

mechanics. More strikingly, three basic constants of physics, namely,<br />

Newton's gravitational constant, Hubble constant and the average<br />

density of the universe turn out to be linked by an equation which was<br />

noticed as a numerical coincidence (and then expanded in a wider<br />

theoretical hypothesis) in the 1930's by Dirac.<br />

I find these results (which in different forms have been found also by<br />

other authors - see chapter 11) fascinating, and I think that they should<br />

be more widely known. They do not involve mathematics beyond the<br />

level of a (good) first degree in physics or applied mathematics, so an<br />

attempt might be done to introduce them at a fairly basic stage.<br />

In order to make his proposal more plausible than what is its main<br />

competitor, Assis advances several criticisms against both special and<br />

general relativity. I do not know how much weight he places on this<br />

pars destruens, but in my opinion the relativists will hardly be<br />

convinced by it.<br />

For instance, as regards the twin paradox Assis does not deal with<br />

Hafele and Keating's celebrated experiment (the replication of which is,<br />

in my opinion, much overdue), and for the mesons he favours the<br />

hypothesis that "the half-lives of the mesons depend on their high<br />

velocity relative to the distant material universe" (p. 133). However,<br />

should Hafele and Keating type experiments be confirmed, it would not<br />

be clear how to make room for the concept of 'proper time' in relational<br />

mechanics. Against the constancy of the velocity of light, he contrasts<br />

Einstein's postulate with the fact that all velocities we know depend on<br />

the relative motion of the observer either to the source (like bulletts) or<br />

to the medium (like ordinary sound waves). Indeed, the speed of light is<br />

an anomaly in Einstein's universe, and Assis is right in insisting that<br />

"light is a physical entity which carries momentum and energy [...] is

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