- #1
nicholasfouss
- 1
- 0
Deck of Cards and Planck Time?
This is truly unbelievable. I've checked my work multiple times, gotten it checked by others, and still the same answer remains.
There are more ways to rearrange a single deck of cards than there have been Planck times since the Universe began.
Number of formations of a single deck of cards:
52! = 52 x 51 x 50 x 49 ... 3 x 2 x 1
52! [tex]\approx[/tex] 8.066 x 10[tex]^{}67[/tex]
Number of Planck times (tp) since the Universe began (assuming the Universe is approx. 16 billion years old, which is generous):
(1 x 10[tex]^{}44[/tex]) x (60) x (60) x (24) x (365.5) x (1.6 x 10[tex]^{}10[/tex]) [tex]\approx[/tex] 5.053 x 10[tex]^{}61[/tex]
(tp in a sec)(sec in min)(min in hr)(hr in day)(day in yr)(yr since singularity)
8.066 x 10[tex]^{}67[/tex] > 5.053 x 10[tex]^{}61[/tex]
Keep in mind, a Planck time is the time it takes for light (in a vacuum) to travel a Planck length (1.6 x 10[tex]^{}-35[/tex] metres.
This is truly unbelievable. I've checked my work multiple times, gotten it checked by others, and still the same answer remains.
There are more ways to rearrange a single deck of cards than there have been Planck times since the Universe began.
Number of formations of a single deck of cards:
52! = 52 x 51 x 50 x 49 ... 3 x 2 x 1
52! [tex]\approx[/tex] 8.066 x 10[tex]^{}67[/tex]
Number of Planck times (tp) since the Universe began (assuming the Universe is approx. 16 billion years old, which is generous):
(1 x 10[tex]^{}44[/tex]) x (60) x (60) x (24) x (365.5) x (1.6 x 10[tex]^{}10[/tex]) [tex]\approx[/tex] 5.053 x 10[tex]^{}61[/tex]
(tp in a sec)(sec in min)(min in hr)(hr in day)(day in yr)(yr since singularity)
8.066 x 10[tex]^{}67[/tex] > 5.053 x 10[tex]^{}61[/tex]
Keep in mind, a Planck time is the time it takes for light (in a vacuum) to travel a Planck length (1.6 x 10[tex]^{}-35[/tex] metres.