Ian Beardsley March 29-March 30, 2026!
We have the normal force!
!
We have the Planck force for gravity!
!
Where, is the Planck mass, and is the Planck length. They are given by:!
!
!
And, Planck time is!
!
We form the ratios between the normal force and Planck force:!
!
Divide by Planck time squared and we have!
!
That number is . We have the final equation:!
!
From the Planck units we have:!
!
We can write !
!
F
n
=
h
ct
2
1
= 2.21022E − 42N
F
Planck
= G
m
2
P
l
2
P
= (6.674E − 11)
(2.176434E − 8kg)
2
(1.616255E − 35m)
2
= 1.21020E 44N
m
P
l
P
m
Planck
=
ℏc
G
= 2.176434E − 8kg
l
Planck
=
ℏG
c
3
= 1.616255E − 35m
t
Planck
=
ℏG
c
5
= 5.391247E − 44s
F
n
F
Planck
= 1.826326E − 86
2π
t
1
= 2π
F
Planck
F
n
⋅ t
P
= 1.00seconds
F
Planck
= G
m
2
P
l
2
P
=
c
4
G
F
n
= 2π F
Planck
⋅
t
2
P
t
2
1
I think this may be useful.!
!
!
!
!
!
!
F
n
= F
Planck
⋅ t
2
P
⋅
d ω
d t
F
n
F
Planck
⋅
1
t
2
P
∫
1second
0
dt = ω
1
ω
1
=
2π
second
F
n
F
Planck
⋅
t
1
t
2
p
∫
1"second
0
dt = θ
1
F
n
F
Planck
⋅
t
2
1
t
2
P
= θ
1
θ
1
= 2π