without ... sin, Hebrews 9:22.
seven triunities, defined at 104:4.
zones, In 1955 text: zone. The plural, found in all editions after 1955, agrees with the verb “are” and is otherwise consistent with the general sense of the paragraph.
almost 106 years, The modern (2003) estimate of the distance to the Andromeda Galaxy (M31) is 2.54±0.06?106 light years. It is possible, however, that here in the text we have a quotation of Edwin Hubble's thoughts which may have crossed his mind when he identified the Cepheid variable stars in M31 in 1925, thus forever settling the debate about the object being extragalactic.
Mass in matter tends to retard velocity in energy, Indeed, this is clear from the geometric nature of proper mass as the momentum p5 = m conjugated to the proper time x5 = ?, cf. the note on 23:3.2.
5,342,482,337,666, How are the 7 celestial coordinates of our planet just given (7, 5, 3, 84, 70, 24, 606) encoded in the registry number? Note that the digits 1 and 9 are absent from both sets. It is likely that the decimal status is included as well and, together with the planet's number 606 it is represented in the final digits 666, see the note on 58:1.1.
299,789 kilometres of your world per second of your time, Note that the absolutely exact (by definition of “meter”) speed of light is 299,792,458 m/s.
899,367 km/s. I have worked out the mathematical details of a possibility of travelling faster than the speed of light by interpreting the fifth dimension of Kaluza's “unified field theory of gravitation and electromagnetism” as proper time ? and the momentum conjugated to it (the total phase space being the cotangent bundle T*M over a 5-dimensional Lorentzian manifold M of signature (-, +,+,+,+)) as rest mass m: x? = (t,r,?), p?=(E,p,m), thus explicitly manifesting the geometric nature of rest mass (as opposed to it being an inherent constant parameter). Therefore, the ordinary 4- dimensional mass shell constraint E2 = p2 + m2, g (p,p) + m2 = 0 appears as nothing but the restriction on all matter being supported on the “lightlike cone in 5-dimensions”: G(p,p)=0, where g and G are 4d and 5d metric tensors respectively. Thus, all energy is “lightlike” in 5 dimensions, but as this “lightlike energy” undergoes slowing down, it manifests itself (i.e. its projection to a 4-dimensional spacetime submanifold) as a normal “massive material energy”. In such interpretation of Kaluza's fifth dimension there is no need whatsoever for Klein's constraint of S1-compactification thereof. Furthermore, it is easily seen that the modern offshoots of Kaluza-Klein model (superstring theories, etc.), which impose such constraints are nothing more than the special cases of monstrous situations of energy somehow locked in a loop of time-perception. Our “normal” perception of time is linear (and has a topology of a closed interval [a,b] and no such compactification constraints are demanded. Note, further, that the velocity in the fifth dimension (as measured with respect to the coordinate time t) is extremely high for slow movements in purely spatial dimension: d?/dt = (1 - v2)1/2. Hence, if we can imagine a surface capable of reflecting the momentum in ?-dimension (thus causing dematerialization, i.e. passing through the point m=0 in the phase space) into one of the purely spatial dimensions (just like an ordinary elastic collision at an angle of 45o causes a reflection of, say px momentum component into py), we would expect by the law of conservation of 5-momentum the corresponding spatial momentum to be likewise extremely high, even equal to that of light if the process begins from purely spatial rest (p=0). And, having crossed “the light barrier”, there is then nothing peculiar about accelerating to an even higher speed, this being permitted even by such limited treatment of the material reality as Einstein's Special Relativity theory in four dimensions. The surface itself would have to be immovable in (coordinate) time, such as the Isle of Paradise, which we are told is reachable from any point in space by moving inward, the Paradise itself remaining outside space and time. This implies that superluminal travel is possible from any point in space, but some sort of contact with the Isle of Paradise or other such “surface immovable in time” (or some other dematerialization technique) is required — and this is apparently facilitated by the transport seraphim.
