The Sint Wave

Thinking about the non directionality of time lead me to think about the omni-directinality of time anf from there to the unit circle in which the tensor radial points in all directons. thus the unit circle or any closed boundary in a plane is an analogue for the expression of "time" ,such as it is.

I imvestigated the sine wave generated from the unit circle and decided it does not omni-point and so is not a suitable analogue for time.

I then noticed that a spiral a nonclosed boundary would also generate a kind of sine wave and immediately considered my sint project. From the ceometry i could see that a sin wave of increasing amplitude would develop and theus sint would perhaps be some function times the sine function.

I moved on to the general spiral and saw how spirals can be described as multiplicative relations of the trig functions particularly sin and cos ,by some varying function. :f(x)*sin{u} etc where u is the unit circle radian measure.

I then briefly considered the three dimensional "sine"wave and realised that such a "wave" would more nearly represent a compression wave emanating from a sphere. However further consideration enlightened me as to the chirality of this compression wave, its polarisability and it quantum superposition-like status. This arises from the freedom in 3d dimensions which is a constant surprise to my "educated" plane geometry base! Degrees of freedom we may call them but there does seem to be some quantum to freedom justifying this epithet. Since we have these infinite degrees of freedom in the spherical case it is possible to envisage a notion of "entropy" related to spin and the quanta of the degrees of freedom of spin. Thus geometrically founding entropy as a quantum superpositional state descriptor rather than a defunct and now increasingly obsolete notion of disorder.

What we have for a spherical sine wave would thus be some spinning wvefront followed by a compressive and decompressive quantum spinning structure. If i realise one of the states by using a directional antenna i will recover all the information in any of the other possible configurations. Thus the "wave" should have holographic properties.

When this analysis is applied to ana electromagnetic wave we find a phase difference due entirely to the sequence of generation of the 2 signals. Thus the electric signal is in some sense phased prior or post the magnetic signal.

One explanation for the phase difference is medium permittivity or density/viscosity. The more "lighter" density distribution precedes the "heavier" density distribution, and in this way magnetism has a stronger pressure effect than electric pressure.

That these effects are quantum and spatially distributed is testimony to the motion basis of their generation and promulgation spaciometrically.

y=sin(x) where x= n*u
where u= π*D/r(2π) and n takes any value -∞<n<∞
In the first exposition it i possible to see the fractal nature of these functions because i can vary n to vary x, or i can keep n fixed and vary the diameter of the defining circle in ratio to the unit circle radius r or i can fix the diameter of the unit circle d and vary he radius ofa defining circle.

All produce a sine wave output but for widely varying actual measuring scenarios, ie different spatial motions.


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