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<strong>Cosmic</strong> <strong>Game</strong> © Douglass A. White, 2012 v151207 235<br />

<strong>The</strong> ancient Egyptians primarily used the pendulum mechanism as a motionless plumb<br />

bob in balanced equilibrium to aid in constructing solid stone monuments that would<br />

express as perfectly as possible the timeless, effortless, nonlocal, and universal qualities<br />

of silent rest. <strong>The</strong> Great Pyramid is the archetype of ancient Egypt's transcendental<br />

meditation during which an alert observer effortlessly reduces the scale of thoughts until<br />

the momentum of consciousness expands beyond all limitations to the silent awareness<br />

that underlies all of creation. As the energy scale reduces, the scale of time expands to<br />

identify with eternity. Δp Δx ≥ h; ΔE Δt ≥ h. We have an interesting reciprocal game.<br />

Appendix G: Extending Mathis' Simplified Calculus<br />

Critics have rightly pointed out that the "simplified calculus" described by Mathis breaks<br />

down when applied to negative exponents, trigonometric equations, and natural<br />

logarithms. I would like to suggest that we may only need to adjust our viewpoint<br />

slightly to include these forms of calculus without having to consider infinitesimal limits.<br />

Negative Exponent Equations<br />

<strong>The</strong> basic negative exponent example has the form y = 1/x, which is just xy = 1, a<br />

reciprocal hyperbolic relation like the Velocity Equation with c = 1. This is equivalent to<br />

the always balanced Egyptian Scales of Justice (see my discussion of the Scales). When<br />

the Scales are balanced, we know that the "instantaneous velocity" is zero, thus giving<br />

access to the derivative. <strong>The</strong> formula is M2L2 = M1L1, and you can set it up so that a<br />

standard M1L1 = 1, and then you have M2L2 = xy = 1.<br />

Trigonometric Relations<br />

Trigonometric equations are based on the unit circle, which is simply a wheel for the<br />

ancients.<br />

<strong>The</strong> standard differentiation of f(x) = sin x is f’(x) = cos x. We have a unit circle x 2 + y 2 =<br />

1. <strong>The</strong>n the limit as θ goes to 0 for cos θ is 1, and the limit as θ goes to 0 for sin θ is 0.

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