absolute planck values: moving beyond the arbitrary assignment of unity john r. laubenstein iwpd...
DESCRIPTION
What are dimensionless numbers telling us? We know from the inverse-fine structure constant of 137 that dimensionless numbers have significance A logical conclusion is that they represent the “counting” of something The potential exists for the counting of a fundamental entityTRANSCRIPT
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Absolute Planck Values:
Moving Beyond the Arbitrary Assignment of Unity
John R. LaubensteinIWPD Research Center
2008 APS March MeetingNew Orleans, Louisiana
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Part 1
Dimensionless Values: Do They Have Significance?
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What are dimensionless numbers telling us? We know from the inverse-fine structure constant of 137 that dimensionless numbers have significance A logical conclusion is that they represent the “counting” of something The potential exists for the counting of a fundamental entity
![Page 4: Absolute Planck Values: Moving Beyond the Arbitrary Assignment of Unity John R. Laubenstein IWPD Research Center 2008 APS March Meeting New Orleans, Louisiana](https://reader035.vdocuments.us/reader035/viewer/2022081515/5a4d1b167f8b9ab059991bea/html5/thumbnails/4.jpg)
In Current Theory The mass of the electron represents (is counted as) Planck Masses The charge of the electron represents (is counted as) 0.0855 fundamental charges Should these be normalized – that is, is an electron an electron?
2310184 .
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Are Current Planck Values Absolute Units? Derived from combinations of the fundamental
constants: c, h-bar, G Require an arbitrary normalization that constrains
the fundamental constants to a value of unity: c = h-bar = G = 1
No physical evidence supports these assumptions
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Multiplying by Unity
Dimensional analysis is based on conversions by multiplying by a factor of unity
Combining physical constants in different ways does not represent Dimensional Analysis unless the factor is know to be unity
Planck Values represent a manipulation of fundamental constants resulting in units for mass, distance and time for which – at best – only an intuitive meaning may be assigned
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The Price of Arbitrary Assumptions We conclude that if we all play by the same “rules” that arbitrary assumptions are OK This leads to outcomes that are consistent, but not necessarily an accurate description of reality Are we currently making a huge “end-run” around a much simpler path to reality?
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The Price for Unity
Planck Mass is large on a quantum scale Questions on how mass is manifested: Higgs? etc. Is the complexity of “mass” a requirement forced
on us by observation; or, an unnecessary consequence of our arbitrary decisions?
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A. Gleeson, University of Texas
“the Planck mass is incredibly larger than anything we have been able to use to create a single particle. Thus, in addition to the fact that the elementary particles we know have masses with no obvious relation to each other, if they have any particular relation to the Planck mass, it is for now simply some incredibly small fractional number to which we can assign no particular significance.”
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The Magnitude of Planck Mass Inversely changing the values of h-bar and G will
change the value of Planck Mass without changing Planck Distance or Planck Time
Question: Is there an intrinsic value for all physical constants that may be expressed as a dimensionless number?
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A Fundamental Entity
Dimensionless intrinsic values represent the counting of a physically significant entity This counting can represent mass, distance or time This physical entity is a singular entity that may be
manifested as mass, distance or time
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Absolute Planck Values
Unitless numbers exist that represent the true values of c, h-bar and G. As such, unity values of mass, distance and time may be derived from the true dimensionless values of c, h-bar and G. This suggests the existence of Absolute Planck Values
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Are Absolute Planck Values Achievable? If dimensionless numbers with universal intrinsic
meaning exist, are they attainable or hidden from us from nature herself?
If hidden, is this for all time, or until we become “smarter?”
Are we “smart” enough now?
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Part 2
Calculating Absolute Planck Values
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If G is set to 1, then the relative gravitational force between an electron- electron pair can be expressed using consistent units of .
.
2
2
mkg
22
21
dMM
mkg ee
)Force(
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The relative strength of the electrostatic force may be expressed using the same units of force
established for Gravity .
2
422
2101664
dMM
.mkg ee
)Force(
2
2
mkg
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For equal gravitational and
electrostatic forces it follows that:
110166.4
2
242
dMM
k
dMM
G
ee
ee
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Resulting in:
G.k 42101664
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The inverse fine structure number can be derived h-bar, c, k and e.
1372 2
kehc
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Through substitution it can be shown that:
1371016642 242
Ge.hc
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Through further manipulation using the relationship between G and h ( ) it can be shown that:
1371016642 2422
2
e.ch
h/piG 2
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It is also known that a fundamental mass will have a Compton wavelength equal to h.
11h
cMh
lfundamentamass lfundamenta
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It is known that the Fundamental Mass is related to the Gravitational Constant
Gh
cMh
lfundamentalfundamenta
211
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When mass and charge are normalized it follows that the fundamental charge is related to Coulomb’s Constant
kcMh
chargecharge
2
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This results in a relationship between G, k and e
42101664 .eGk
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This results in an opportunity to solve for the dimensionless intrinsic value of h
137
1016641016642242422
2
..
ch
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Resulting in a Fundamental Mass of:
137106111016642
102122353422
242
m..
mkg.
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Simplifying to an Absolute Fundamental Mass of:
110182 73 kg.