An equation can kill off 90% of the readers of a post like this…they say…
But let’s be frisky…
The Lorentz Transformation (figured out by the end of the 19th century) forms the backbone of of Einstein’s work on relativity.
Here’s that equation–hard to find but easy to understand.
∆ T = t √(1 – v²/c²)
As you zip through space, this shows you how your time passes compared to the time of those you left behind on Earth.
We’ll walk you through it¹, step by step. (Forgive us if we oversimplify.)
For more use the DOOR.
First, a little warm-up:
Δ means “change”
T means the amount of time you perceive as passing
t represents the amount of time passing for those you
left behind on Earth
√ represents the square root of a number [or the
number that multiplied by itself gives some given
number. e.g. √4 = 2, or √25 = 5. This implies that
any number between 4 and 25 would be some
fractional number between 4 and 25 (except for
9 and 16)] (The square root of 1 is 1
and the square root of 0 is 0.)
v is the speed you’re traveling
c is the speed of light (186,282 mi./sec.)
Now to repeat most of this as Robert Lanza explains it in his Appendix 1 of his Biocentrism. [The words above this (and at the end) and the coloring are ours.] So now, of course, you’re ready..
“One of the most famous formulas in science came from the dazzling mind of Hendrik Lorentz, near the end of the nineteenth century….
∆ T = t √1 – v²/c² [ should be ∆ T = t√(1 – v²/c²) ] Note³ below
“We’ve expressed this for computing the change in the perceived passage of time. It is actually much simpler than it appears. Delta or Δ means change so ΔT is the change in your passage of time–what you yourself perceive. Small t represents the time passing for those you left behind on Earth, let’s say one year–so what we’re after is how much time passes for you (T) while one year elapses for everyone back in Brooklyn. This simple ‘one year’ of t (in this example) should be multiplied by the meat-and-potatoes of the Lorentz transformation, which is the square root of 1, from which we subtract the following fraction: v², which is your speed multiplied by itself, divided by c², which is the speed of light multiplied by itself. If all speeds are expressed in matching units, this equation will tell you how time slows down.
“Here’s an example: If you travel twice the speed of a bullet, or one mile a seconds, then v² is 1 × 1 or 1, which is divided by the speed of light (186,282 mi./sec.) times itself, yielding 35,000,000,000² and yielding a fraction so small it’s essentially nothing at all. When nothingness is subtracted from the initial 1 in the equation, it’s still essentially 1 and because the square root of 1 is still 1, and remains 1 when multiplied by the one year that passed back on Earth, the answer naturally remains 1. This means that traveling at twice the speed of a bullet, or one mile a second, while it may seem fast, is actually too small to change the passage of time relativistically.
“Now consider a fast speed. If you’ve managed to travel at lightspeed, the fraction v²/c² becomes 1/1 or 1. The expression inside the square root sign is then 1 – 1, which is 0. The square root of 0 is 0. No time. Time has been frozen for you if you move at lightspeed. Thus, you can insert any number for “v” and the formula will yield how much time passes for a traveling astronaut while a given time passes on Earth. This same formula also calculates the decrease in length for a traveler, if one substitutes L (length) instead of v (speed). It will also work to compute mass increase the same way, except at the conclusion one must divide the result into 1 (find the reciprocal) because unlike time and length, which decreases, mass increases with greater velocity.”
Back to our cubicle:
To get a glimpse of how time is affected by Lorentz’s (and Einstein’s) theoretical “extreme speed,” you can simply substitute very, very large numbers for v. If so, you will come up with astonishing results…and a lot of questions, including that on a scheduled “very fast” round-trip one would return home to a complete set of strangers.
One observation: If God, who was before light, created light–orchestrating its “pieces,” how they behave, and “how fast they travel”–could He not then travel with, or be with, His light everywhere at once at the same time? And could this help explain what we mean by His omnipresence?
¹ We’re following Robert Lanza in Appendix 1 of his Biocentrism.
² Be aware, Lanza’s done some rounding off. A more precise number is 34, 700,983,524.
³ This is a late change. As per the sage comment below, The square root sign should extend over the whole expression, not just the 1. However, our formatting program won’t let us do that. Also, Lorentz’s description should be better worded.