In Calculus, does the limit somehow describe QP

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The discussion centers on the concept of the limit in calculus, specifically regarding the variable 'h' approaching zero without ever equating to zero. Participants explore the implications of this concept in relation to quantum physics, questioning whether 'h' approaches zero in discrete steps, potentially linked to the Planck length. The conversation references the work of Shankar, who demonstrates how manipulating these equations can yield classical mechanics from calculus principles.

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In calculus we say that the value 'h' approaches zero, but it is never zero. In fact if we assign 'h' the value zero, the equation becomes nonsensical.

Is this a reflection of the quantum world? Also as 'h' approaches zero, does it do so in jumps? Is the next higher value to zero a Planck length?
 
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hankaaron said:
In calculus we say that the value 'h' approaches zero, but it is never zero. In fact if we assign 'h' the value zero, the equation becomes nonsensical.

Is this a reflection of the quantum world? Also as 'h' approaches zero, does it do so in jumps? Is the next higher value to zero a Planck length?

No it goes to zero. If you futz the equations right you get the laws of classical mechanics out when you do that. I believe Shankar does this somewhere.
 

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