The Planck Length is the distance that is the minimal length that the position of a particle can be determined. For any distance shorter, the number is meaningless. Some mathematicians might therefore argue, space is discreet, like the permissible energy levels for electrons surrounding a nucleus. There are others who would argue that because we know space and time are actually different facets of the same thing (space-time, thank you Albert Einstein), time therefore also comes in discreet levels (quanta).
String theory is dependent on the answer to this question. So is the quantizing of gravity. I understand that Einstein’s theories are also relevant, and I think it’s Einstein that we have to ultimately turn to at the end of this discussion. But I’ll get to him later. For now, let’s look at the Planck length. And let’s start by saying we’re discussing fixed frames. A science lab. Nobody is referencing what is happening in our lab as they speed by at half the speed of light. We’ll get to that when we return to Einstein. For now, a fixed frame.
In our lab, then, we have a distance that, for anything shorter, we can’t tell what’s going on. My beginning premise is that because space and time are one and the same (different facets and all, like different people see different colors when looking at a multifaceted gem), there is an equivalent span of time that for anything shorter there is no way to know/see what’s going on.
Does that mean time is quantized? Logically, it must be. They are the same thing. Anyway, everything can be represented as a quantum wave (even you) and are capable of quantum tunneling, so the fact that time comes in quantum form should not be surprising.
So, let’s say that’s true. Let’s do a thought experiment. And this is when we revisit Mr. Einstein. Because if someone in a spaceship (Observer B) traveling near the speed of light were to whizz by me in my lab (Observer A), then there’s an effect called time dilation that comes into play. Time, like space, can be stretched by gravitational fields. Then wouldn’t the Planck length for Observer A be different than for Observer B?
No. The Planck length is a universal constant, valid for any frame of reference. So what does that mean? And could the answer somehow involve pi? Yes. Pi is a non-ending, non-repeating number. Sound familiar? Sure–it’s a random number generator! Pi, because of its nature, is bound to have any sequence you can imagine in its endless number sequence. And that is what is going on inside the Planck length. Random number generation. Except, there’s one more thing …
Enter Consciousness. And miracles. And coincidences. And all of the other “real” things that we experience and thereby know the truth of it. Because, the human will can affect reality by choosing a different question to ask (true, according to physicists, at least at the quantum level). Therefore, it can affect the numbers. In other words, change reality. If God exists, this is where He fudges the numbers.