# Exploring the Possibilities of Infinitessimal Time: A 16-Year-Old's Theory

• Erasmus
In summary: This is true in the mathematical models of space and time that are used by the established theories, but we know that none of those theories can be an exact description of space and time in the real world. The best theories are valid for a very large range of experiments, but they have to break down at some point. A simple order-of-magnitude estimate (similar to guessing that the volume of a sphere is the radius to the third power because the correct formula has to include some length to the third power) tells us that the breakdown should occur at the Planck scale. So it doesn't make much sense to talk about times shorter than the Planck length, since we don't have a theory that's expected to be

#### Erasmus

I'm only 16 but am attending college and I want to be a great physicist one day. I would like to learn as much as possible through this forum and throw some ideas out there and see whether they're stupid or not. Ok, here it goes:

Since time can be measured in milliseconds, microseconds, nanoseconds, picoseconds, femtoseconds, attoseconds, zeptoseconds, yoctoseconds, etc., it is assumed that we can reach an infinite number of smaller units for time. Infinitessimal amounts of time, even. My idea is that no two things can happen at the exact same time. The chances of it happening are 1/$$\infty$$. In Calculus 1/$$\infty$$ is equivalent to zero. So, essentially, there is zero chance of two things happening at the exact same time.

Again, I know it's a little far-fetched. But aren't most theories?

Also, I'm trying to put 1 over infinity in my previous statements but I haven't quite figured out these codes yet.

Erasmus said:
I'm only 16 but am attending college and I want to be a great physicist one day. I would like to learn as much as possible through this forum and throw some ideas out there and see whether they're stupid or not. Ok, here it goes:

Since time can be measured in milliseconds, microseconds, nanoseconds, picoseconds, femtoseconds, attoseconds, zeptoseconds, yoctoseconds, etc., it is assumed that we can reach an infinite number of smaller units for time. Infinitessimal amounts of time, even. My idea is that no two things can happen at the exact same time. The chances of it happening are 1/$$\infty$$. In Calculus 1/$$\infty$$ is equivalent to zero. So, essentially, there is zero chance of two things happening at the exact same time.

Again, I know it's a little far-fetched. But aren't most theories?

Also, I'm trying to put 1 over infinity in my previous statements but I haven't quite figured out these codes yet.

To do the inverse of infinity in Latex, use this:

$$\frac{1}{\infty}$$

Latex is also availble under the $$\sum$$ symbol above the Advanced Reply Dialog box or in the Post New Topic window that you were in. There is a Latex tutorial thread in the Tutorials forum, I believe, that should help.

Welcome to the PF. I do need to caution you about posting with the words "new theory" or "my theory". We take science very seriously here on the PF, and you are not allowed to propose new theories without a lot of real science behind it, including references to supporting papers in reputable, refereed journals.

You can, however, phrase posts as straightforward questions. Like in your post above, you could say, "I'm confused how any two things can happen simultaneously, given the apparent infinite nature of smaller and smaller time slices..."

I'm also not sure that the S&GR forum is the right place for this thread. I'll ask the other Mentors if it should be moved.

I have an idea for the answer to your question, but I'm going to let the physicists give you a better answer.

Welcome again, the PF is a great place. Be sure to re-read the Rules link at the top of the page, if you haven't already.

Welcome.

If time is infinitely divisible, then the probabilty of anything happening in any 'infinitesmal' period is zero, by your argument.

You are right in thinking that any segment of the real line is zero compared with the whole, but these are mathematical thoughts.

Physics is really about things, so I'd suggest you study electricity and magnetism, or dynamics to start with.

Erasmus said:
it is assumed that we can reach an infinite number of smaller units for time. Infinitessimal amounts of time, even.
This is true in the mathematical models of space and time that are used by the established theories, but we know that none of those theories can be an exact description of space and time in the real world. The best theories are valid for a very large range of experiments, but they have to break down at some point. A simple order-of-magnitude estimate (similar to guessing that the volume of a sphere is the radius to the third power because the correct formula has to include some length to the third power) tells us that the breakdown should occur at the Planck scale. So it doesn't make much sense to talk about times shorter than the Planck length, since we don't have a theory that's expected to be valid at that scale.

Erasmus said:
My idea is that no two things can happen at the exact same time. The chances of it happening are 1/$$\infty$$. In Calculus 1/$$\infty$$ is equivalent to zero. So, essentially, there is zero chance of two things happening at the exact same time.
But then if you put two objects on your kitchen table, they are both tracing out a path (called a "world line") through spacetime, and this path is continuous (in the current theories), so whatever point you pick on the world line of the first object, there's a point on the world line of the other object that's simultaneous with it.

Erasmus said:
Also, I'm trying to put 1 over infinity in my previous statements but I haven't quite figured out these codes yet.
What Berkeman said, but if you only need a symbol or two, it might be easier to just copy and paste symbols from https://www.physicsforums.com/blog.php?b=347 [Broken]. Also, use itex tags instead of tex tags if you use math in the middle of a sentence instead of on a separate line.

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What is "one" thing (versus "two" things) which "happens"?

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Thank you all for your responses. I will definitely keep in mind to phrase these as questions. I really did expect my idea to be shot down seeing as I have little experience physics but I wanted to know why it was wrong.

## 1. What is infinitesimal time?

Infinitesimal time refers to a very small unit of time, smaller than any measurable quantity. It is often used in mathematics and physics to describe processes that occur in incredibly short time intervals.

## 2. How did a 16-year-old come up with this theory?

The age of the person who came up with a theory does not determine its validity. Many young scientists have made significant contributions to the field of science. This 16-year-old may have a unique perspective and a passion for exploring new ideas.

## 3. What are the implications of this theory?

The implications of this theory are still being studied and debated. It could potentially change our understanding of time and how it affects various processes and phenomena in the universe.

## 4. Has this theory been tested or proven?

As with any new scientific theory, it will need to undergo rigorous testing and experimentation before it can be considered proven. However, the initial ideas and evidence presented in the theory may spark further research and investigation.

## 5. How could this theory impact our daily lives?

It is difficult to predict how this theory could impact our daily lives at this point. However, if it is proven to be valid, it could potentially lead to new technologies and advancements in various fields such as medicine, transportation, and communication.