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Hammond claims a child sees a "magnified" world compared
to an adult. Someone recently protested if a child and adult point the same object their arms point to the same point in space ..... so how can the child be seeing a vastly larger object? The answer to this is that the child's world is a "curved" version of the adult's world. It is here demonstrated that this curvature is caused by a "Hubble Expansion" of the child's world relative to the adult's. The conventional Hubble expansion is a well known solution to Einstein's equation G_uv = rho (rho = mass density). The Hubble expansion is derived by plugging in a metric of the type: ds^2 = -dt^2 + a(t)^2 dR^2 (Friedman metric) where a(t) is the radius of the universe. Putting this metric in Einstein's equation results in the well known Friedman equation which when solved yields the radius of the universe, a(t), which shows that the universe is expanding with time. Now, Hammond has discovered that "subjective spacetime" is ALSO curved, and the curvatrure is given by: G_uv = - ln (brain growth) this is the "subjective space" version of Einstein's equation. And note that braingrowth now takes the place of mass density.. Now, I say, a similar solution for the "expansion of the subjective universe" can be found by inserting the following metric: ds^2 = a(t')^2 ( -dt'^2 + dR^2) (Hammond metric) Notice the slight difference between this metric and the Friedman metric. In the Hammond metric the radius of the universe (the expansion factor a(t') ) dilates the Time dimension as well as the Space dimension. In fact the Hammond metric is already well known to relativity where it is called the "conformal metric" and t' is called the "conformal time". Of course in relativity, the transformation dt = a(t)dt' is only a convenient "coordinate transformation" and t' is not the real physically observable (clock) time. However, Hammond points out that in subjective space it is known that growth (e.g. brain growth) not only causes a spatial magnification, it also causes an increase in clock rate (i.e. mental speed), so therefore conformal time ACTUALLY IS "physical clock time" in subjective space. At any rate, solving the Friedman equation in conformal time one gets the well known result: a(t') = const.[1 - cos(t')] This is the famous curve first derived by Friedman in 1922 and shows that a curved universe will expand to a maximum radius and then collapse back to zero. The first half of this curve is known as the famous "Hubble expansion" of the universe. Now, I'm pointing out that this equation, when solved in "subjective space" would have to describe the "human growth curve" of a human being from birth to adulthood, and we see that the curve is of entirely the correct shape... and that there are at least 4 adjustable parameters in the solution which means it doubtlessly can made to conform precisely to the human growth curve to within experimental accuracy. This can hardly be a coincidence given the theoretical origin of the curve. At any rate.... we now see HOW it is that a child can see a highly magnified world, compared to an adult... and yet be seen to be pointing in the same direction as an adult. An "expansion of the universe" is similar to being inside a large balloon while it is being inflated. If say a horse is painted on the inside of the balloon, the horse will get bigger and bigger, but farther and farther away. This means that if the child points to the horses head, his arm will remain in a fixed direction no matter how large the balloon gets. And this is why a child is seen to be pointing in exactly the same direction as an adult, even though the child may be seeing a horse that is TWICE the size of the one the adult is seeing. Hope this clarifies the situation... and I would point out that the identification of the Hubble Curve as the Human Growth Curve is just one more piece of evidence that human perception is described by a relativistic Curvature, and that therefore, God=G_uv. -- ======================================== SCIENTIFIC PROOF OF GOD WEBSITE http://geocities.com/scientific_proof_of_god mirror site: http://proof-of-god.freewebsitehosting.com ======================================== |
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