This exercise is only affected for those expressions not previously so treated in [1]. Note that to reduce these equations to their Special Relativistic equivalents, it is only necessary to put u = 1. Subsequent reduction to the classical equivalents is achieved by putting c = ¥ . Note also from [1] Eq(G1) when u = 1, a = 0 and therefore s = r.

The four spatial/temporal reaction forces,

(i) The spatial term

(B1)

(ii) The temporal term

(B2)

(iii) The temporal term

(B3)

(iv) The spatial term

(B4)

All of the above reduced expressions are as the Special Relativity equivalents as derived in [2] Section 3.

(v) Eq(3.18), Inertial mass in D₁

(a) To the special relativistic equivalent, putting u = u₀ = 1

(B5)

(b) To the classical equivalent, in (B5) putting c = ¥ .

(B6)

(iv) Eq(3.17) artificially induced acceleration in D₁

(a) To the special relativistic equivalent, putting u = 1.

(B7)

where [2], Eq(3.6) has been subsequently inserted for m.

(b) To the classical equivalent, in (B7) putting c = ¥ .

(B8)

(vii) Eq(4.16), loss of energy by a gravitating mass when brought to rest. From (B6) m₁ = m₀ so that (4.16) becomes

(B9)

and after the mass has been brought to rest

(B10)

This is a negative quantity and exactly the kinetic energy that would have been lost by the mass had it been decelerated to stop from the velocity in D₀, Pseudo-Euclidean Space-Time.

G2 Version 1.1.1
Ó; P.G.Bass March 2004

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