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N. 3 - 21 aprile 2001 - Giano Bifronte

N. 3 - 21 aprile 2001 - Giano Bifronte

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I. Old World (pp. 13-160)<br />

1. Newtonian Mechanics<br />

2. Applications of Newtonian Mechanics<br />

3. Non-Inertial Frames of Reference<br />

4. Gravitational Paradox<br />

5. Leibniz and Berkeley<br />

6. Mach and Newton's Mechanics<br />

7. Einstein's Theory of Relativity<br />

II. New World (pp. 161-258)<br />

8. Relational Mechanics<br />

9. Applications of Relational Mechanics<br />

10. Beyond Newton<br />

11. History of Relational Mechanics<br />

12. Conclusion<br />

Weber's idea in his electromagnetic theory (1848) was to use a<br />

potential which depends on the distance and the relative velocity (or, to<br />

be more precise, on the rate of change of the distance) of two electric<br />

charges. This results in a force depending explicitly on the second<br />

derivative of the distance between the charges, and which is always<br />

directed along the straight line joining the two charges. Assis's proposal<br />

for the basic force between two particles is to use the same expression,<br />

with charges substituted by masses (and the proportionality constant<br />

suitably adjusted), in the same way as Newton's attraction law can be<br />

obtained (in inverted historical order, of course) from Coulomb's law.<br />

The "basic (or primitive) concepts" of his theory are: "(1) gravitational<br />

mass, (2) electrical charge, (3) distance between material bodies, (4)<br />

time between physical events, and (5) force or interaction between<br />

material bodies" (p. 163); the postulates of the theory are three:<br />

"(A) Force is a vectorial quantity describing the interaction between<br />

material bodies.<br />

(B) The force that a point particle A exerts on a point particle B is<br />

equal and opposite to the force that B exerts on A, and is directed along<br />

the straight line connecting A to B.<br />

271

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