Are Zero and Infinity Singularities in the Physical World?

In summary, the conversation is discussing the idea that zero and infinity are both symmetry states and remain unchanged through arithmetic operations. The question is raised about how this relates to the concept of entropy and whether zero and infinity can be seen as singularities in a physical sense. The conversation also questions the relevance of infinity to physics, as it is not a number.
  • #1
Hippasos
75
0
Another viewpoint:

"Zero and infinity are both symmetry states. Every change (that is arithmetical operation) leaves them essentially unchanged. 50 times zero is zero. Likewise 50 times infinity is still infinity."

So if ((like I assume)) mathematics is essential for modeling physical world - how does the above deal with entropy?

Or are these (zero and infinity) some kind of a singularities (two kinds of it) in a physical sense?

https://www.physicsforums.com/showthread.php?t=351636
 
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  • #2
I realize that this may sound a bit rude, so I beg your pardon in advance. But do you know what you are talking about?
Basically, it looks to me like you threw some "hot" words like "mathematics", "entropy" and "infinity" into a post and ask if it makes sense.

What does infinity (which is not a number, by the way) have to do with physics?
 
  • #3
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1. What is the concept of zero and infinity?

The concept of zero and infinity is a fundamental concept in mathematics and science. Zero is the numerical representation of nothing or the absence of quantity, while infinity represents something that is unbounded or limitless.

2. How are zero and infinity related?

Zero and infinity are connected in many ways. Zero is often considered the starting point of the number line, while infinity is at the other end, representing a never-ending sequence. Additionally, dividing any number by zero results in infinity, and multiplying any number by infinity results in infinity.

3. Can we divide by zero?

No, division by zero is undefined in mathematics. This is because dividing any number by zero would result in infinity, which is not a finite number and cannot be represented on a number line. It is considered a mathematical error.

4. What is the value of zero to the power of zero?

The value of zero to the power of zero is undefined. Some mathematicians argue that it should be equal to one, while others argue that it should be equal to zero. This is because any number raised to the power of zero is equal to one, but zero raised to any power is equal to zero. Therefore, the value of zero to the power of zero is a subject of debate.

5. How are zero and infinity used in science?

Zero and infinity are used in various scientific fields, such as physics and astronomy. In physics, zero is used to represent the absence of energy or mass, while infinity is used to represent concepts such as gravitational forces or the expansion of the universe. In astronomy, zero is used to represent the absence of a certain celestial object, while infinity is used to represent the vastness of the universe and its potential for discovery.

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