Can you practically measure an infinite amount of some quantity?

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Discussion Overview

The discussion revolves around the feasibility of measuring infinite quantities using physical devices, particularly in the context of speed, energy, and other measurable phenomena. Participants explore theoretical implications, limitations of measuring instruments, and the nature of infinity in relation to physical devices.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question how to determine if a measured quantity is finite or infinite when it exceeds the capabilities of the measuring device.
  • It is suggested that if an instrument is "pegged high," it only indicates that the value exceeds the upper limit, without providing information on the extent of the exceedance.
  • One participant posits that a finite physical device cannot create infinite quantities, using voltage as an example.
  • Another participant highlights that while a Geiger counter does not create radiation, the universe might contain infinite radiation, which cannot all be detected by a single device.
  • There is a proposal that measuring infinite voltage or current would require hypothetical devices with infinite specifications, suggesting a need for extrapolation across an infinite universe.
  • A viewpoint is presented that in a bounded universe, the number of particles must also be finite, implying that no flow can be infinite due to the lack of infinite particles to sustain it.

Areas of Agreement / Disagreement

Participants express differing opinions on the nature of infinity in measurements, with some arguing that physical devices cannot measure infinite quantities while others suggest that infinite quantities may exist in the universe but remain undetectable. The discussion remains unresolved with multiple competing views.

Contextual Notes

Limitations include the dependence on definitions of infinity, the capabilities of measuring devices, and the assumptions about the universe's boundedness or infinitude. There are unresolved mathematical implications regarding the extrapolation of measurements.

MathematicalPhysicist
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Suppose we measure some speed or energy of something with a suitable device or instrument. Now suppose the quantity that is being measured exceeds the capabalities of the measuring device either from above or below. How can we know if this quantity is indeed finite and not infinite?
 
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Your subject line and your question are completely different. Which is it that you want to know?
 
phinds said:
Your subject line and your question are completely different. Which is it that you want to know?
What is in the body of the text.
 
MathematicalPhysicist said:
Now suppose the quantity that is being measured exceeds the capabalities of the measuring device either from above or below. How can we know if this quantity is indeed finite and not infinite?
Generally if an instrument is "pegged high" all you can say is, the process value exceeds the upper limit. You can't say anything about "by how much" it is exceeded.
 
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phinds said:
Your subject line and your question are completely different. Which is it that you want to know?
Though you can answer both separately in this thread.

I wonder how come I never thought of these questions before when I was much younger than now...
 
gmax137 said:
Generally if an instrument is "pegged high" all you can say is, the process value exceeds the upper limit. You can't say anything about "by how much" it is exceeded.
That's what I thought. So perhaps there are infinite quantities, but we can never know for sure.
Edit: At least experimentally we can't know for sure, but theoretically I guess we can 'know', or believe.
 
I think if something is created by a finite physical device, it cannot be infinite regardless of any ability to measure it. For example, I do not believe that any physical device that creates a voltage could create infinite voltage.
 
phinds said:
I think if something is created by a finite physical device, it cannot be infinite regardless of any ability to measure it. For example, I do not believe that any physical device that creates a voltage could create infinite voltage.
I agree. But take for example Geiger counter it doesn't create the radiation it measures.
Well I am not sure how this counter works, but I'll read.
 
MathematicalPhysicist said:
I agree. But take for example Geiger counter it doesn't create the radiation it measures.
Well I am not sure how this counter works, but I'll read.
If the universe is infinite, which it might be, then there will be an infinite amount of radiation, but not all within reach of a single detector.
 
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To measure an infinite voltage would require a voltmeter with infinite insulation resistance, and an infinite digits display. But you might measure a voltage gradient per unit length, then extrapolate that across an infinite universe.

To measure an infinite current would require the current flow through a zero resistance ammeter, with an infinite digits display. But you might measure a current density per unit area, then extrapolate that across an infinite universe.
 
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  • #11
If the universe is bounded, the number of particles of any sort must be also bounded, therefore numerable in theory. Thus no flow (all measurements are of flows/differences of some type) can be infinite because there are not infinite particles to sustain such a flow. The quantum nature of a bounded universe would not permit any physical infinities of a material nature.
 

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