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A tensor is an object or quantity in which a scalar or vector is a special example. In general, an m dimensional tensor of order n has m to the nth power components which transform under translational or rotational changes of the coordinate system according to a set of linear algebraic laws. The zeroth order, three dimensional tensor (or scalar) is specified by one real number. The first order, three dimensional tensor (or vector)is specified by three real numbers. Riemann's metric tensor which quantifies the curvature of space-time (four dimensional and second order)requires sixteen real numbers to describe it of which 10 values are unique.
The Martoff tensor used by L. M. Baumer is a four dimensional, fourth order tensor of 256 numbers describing the amount of the observed uncertainty, the fifth dimensional curvature at any given event in four dimensional space-time.
An unpopular theory of cosmology that asserts that all events are causally connected, that space-time is finite, but unbounded, that light velocity and possibility are unbounded. The term used to describe the latter is transfinite. This idea was first advanced by Lloyd Manley Baumer in 1994 and based upon an analogy to the architecture of the mind.
Analogous to the measurement of a constant velocity for light is the measurement of the sum of the angles in a plane triangle. In hyperbolic geometry (a concave surface), the sum of the angles is less than 180 degrees; in elliptical geometry (a convex surface), the sum of the angles is greater than 180 degrees. For thickspace, the velocity of light is less than 186,000 miles per second; for thinspace, the velocity of light is greater than 186,000 miles per second.
What is constant in one space is not necessarily constant in all. The fact that a constant in m dimensions is not always a constant in m+1 dimensions is illustrated in our 4 dimensions (x,y,z,t) in the following way: Suppose we measure the velocity of light c and plot it versus any two of our four dimensions -- (x,y),(x,t),(y,z) and so forth. The velocity of light (c) is always found to represent a plane parallel to any possible dimensional plane made from (x,y,z,t). However for a dimension outside of our experience, say a, the velocity of light may be plane parallel to (x,a) or (y,a), for example, but it is also possible that this plane could be tilted. In other words, the velocity c would not be constant in the (x,y,z,t,a) space.
Baumer's model of the universe is remarkably similar to the shape of the Klein bottle for which space, time, and observed or measured uncertainty can be represented on the single side of the bottle. Any two of the three d(s) are selected at a time. For this purpose space, time and uncertainty are each counted as a single dimension. The passage of the neck (infinitely narrow) of the bottle through its side is illustrative of space, time and uncertainty equal to zero (the Big Bang/Big Crunch).
Therefore for the "Tilter" (if c = accepted velocity of light, i.e, 186,000 miles/sec)
Real Space is = Tilted Space (or dreamspace) Real Time (Fast Clock) is > or = Tilted Time (Slow Clock or dreamtime) Velocity of Light in Real Plane is > or = c (When units are Tilted Space/Tilted Time) Velocity of Light in Tilt Plane is = c (When units are Tilted Space/Tilted Time) - Same as second postulate of relativity Velocity of Light in Tilt Plane is < or = c (When units are Tilted Space/Real Time)
Therefore for the Observer in Real Space (if c = accepted velocity of light)
Tilted Space (or dreamspace)is = Real Space Tilted Time (or dreamtime) is > or = Real Time Velocity of Light in Tilt Plane is > or = c (When units are Real Space/Real Time) Velocity of Light in Real Plane is = c (When units are Real Space/Real Time) - Same as second postulate of relativity Velocity of Light in Real Plane is < or = c (When units are Real Space/Tilted Time)
Relative term for a path or parangle through paraspace such that the velocity of light through real space-time is perceived as greater than 186,000 miles per second. This is accomplished by the rotation of the space-time plane about the temporal axis (i.e. the rotation of space)to produce a relatively large real-space window due to parallax.
Therefore for the "Tilter" (if c = accepted velocity of light, i.e, 186,000 miles/sec)
Real Time is = Tilted Time (or dreamtime)
Real Space is > or = Tilted Space (or dreamspace)
Velocity of Light in Real Plane is < or = c
(When units are Tilted Space/Tilted Time)
Velocity of Light in Tilt Plane is = c
(When units are Tilted Space/Tilted Time)
- Same as second postulate of relativity
Velocity of Light in Tilt Plane is > or = c
(When units are Real Space/Tilted Time)
Therefore for the Observer in Real Space (if c = accepted velocity of light)
Tilted Time (or dreamtime)is = Real Time
Tilted Space (or dreamspace) is > or = Real Space
Velocity of Light in Tilt Plane is < or = c
(When units are Real Space/Real Time)
Velocity of Light in Real Plane is = c
(When units are Real Space/Real Time)
- Same as second postulate of relativity
Velocity of Light in Real Plane is > or = c
(When units are Tilted Space/Real Time)
The concept is borrowed from the theory of denumerably infinite sets which looks at subsets of infinity, lesser infinities analogous to the denumerably infinite subsets of cardinal numbers. For example, there is the intuition that there are fewer odd or even numbers than natural numbers, when in fact the number of natural, odd, even, squares, etc. are the same. This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts.
Though light velocity and possibility are not cardinal numbers, Henry Kincaid proved the applicability of the algebra and induction of transfinite numbers in 1985.
A paradimensional dislocation involving an articulated dyad - a low-uncertainty dyadic quex - a posiquin coupled with an antiquin or light pump. (See Dyad)
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