Fine Structure Constant via Geometry?
Posted Oct16-09 at 11:03 AM by SdogV
Re: Panpsychism and Thermodynamics, Explored
(Submission to the book, Philosophy and Evolution )
Note added in proof:
As a work in progress introducing it's present status, emphasis is on dimensional units; kg, m, and sec, But kg/ sec as growth and kg/sec2 as stimulation are not usual in Physics. Mass and time are ubiquitous. Biophysics will require "something missed"!
Rigden's book on Hydrogen21 lists six experimental measurements that identify a dimensionless fine structure constant, a, as 0.00729735308, with no theory or model to calculate it. He quotes Purcell's "With respect to a we are in the rather humiliating position of people who have to wrap a string around a cylinder to determine p." Geometrical considerations22 show surface-to-volume (S/V) as (S3 /V2) to be dimensionless, which for a sphere is 113 and for a regular tetrahedron is 374. At least four collinear points are required to define the "space" occupied by mass, therefore in Euclidean geometry the sphere and the regular tetrahedron represent the least-to-most surface activity per unit volume (ignoring the more complicated irregular tetrahedron). The fact that the ratio (113/374), equal to 0.302, when raised to the 4th power gives 0.00802 (of same order as a ) seems more than coincidental.
Pursuing this idea, a simple experiment using a constant chosen clay volume of 43.8 cm3 was performed. Molded as a sphere, (S/V)Sp , and as ~oblate by pressing to a flat disc (S/V)Ob , and ~prolate by rolling into a long rod, (S/V)Pr spheroids it resulted in more than 2 orders of magnitude between spherical and prolate shapes. Further, the ratio of minor to major axiis of the spheroidal approximations was 0.29, raised to the 4th power was 0.0071, again near a.
Returning to the subject of Panpsychism and Thermodynamics, a simple hierarchy of mass is.. particles-atoms-molecules-smallclusters-bigclusters. Without charge or photons in the mix at the atomic level, protons and electrons involve mass ratios of ~2000. Energy-volume ratio, E/V, is pressure, P, while energy-mass ratio, E/M, is c2. These, as a ratio, produce density, r, such that P=r c2. Imposing a liquid-vapor model23 requires equilibrium of pressures, such that nucleus to electron densities are of order 1016 to 1 A proton of ~2000 electron masses might be initially held together by gravity at the critical radius of Eq. ( I ). There would be tremendous pressure and energy potential to eject 1/2000th of it's mass. Are the proton and electron within the hydrogen atom always the same ones or do they resonate? In reference to an electron's mass and charge in the absence of measured mass and charge, Rigden21 (p. 168) asks, "In the words of the trade, what are the base mass and base charge?"
Being independent of time, light has freedom, while mass has a time dependent security. The need of mass for more time is panpsychism and involves light. Photons, electrons, and their interactions with mass are better left to a subsequent article. For those wishing clarification, more detail, or wish to comment on aspects of this approach, you may e-mail the author at sdog1@sbcglobal.net.
(Submission to the book, Philosophy and Evolution )
Note added in proof:
As a work in progress introducing it's present status, emphasis is on dimensional units; kg, m, and sec, But kg/ sec as growth and kg/sec2 as stimulation are not usual in Physics. Mass and time are ubiquitous. Biophysics will require "something missed"!
Rigden's book on Hydrogen21 lists six experimental measurements that identify a dimensionless fine structure constant, a, as 0.00729735308, with no theory or model to calculate it. He quotes Purcell's "With respect to a we are in the rather humiliating position of people who have to wrap a string around a cylinder to determine p." Geometrical considerations22 show surface-to-volume (S/V) as (S3 /V2) to be dimensionless, which for a sphere is 113 and for a regular tetrahedron is 374. At least four collinear points are required to define the "space" occupied by mass, therefore in Euclidean geometry the sphere and the regular tetrahedron represent the least-to-most surface activity per unit volume (ignoring the more complicated irregular tetrahedron). The fact that the ratio (113/374), equal to 0.302, when raised to the 4th power gives 0.00802 (of same order as a ) seems more than coincidental.
Pursuing this idea, a simple experiment using a constant chosen clay volume of 43.8 cm3 was performed. Molded as a sphere, (S/V)Sp , and as ~oblate by pressing to a flat disc (S/V)Ob , and ~prolate by rolling into a long rod, (S/V)Pr spheroids it resulted in more than 2 orders of magnitude between spherical and prolate shapes. Further, the ratio of minor to major axiis of the spheroidal approximations was 0.29, raised to the 4th power was 0.0071, again near a.
Returning to the subject of Panpsychism and Thermodynamics, a simple hierarchy of mass is.. particles-atoms-molecules-smallclusters-bigclusters. Without charge or photons in the mix at the atomic level, protons and electrons involve mass ratios of ~2000. Energy-volume ratio, E/V, is pressure, P, while energy-mass ratio, E/M, is c2. These, as a ratio, produce density, r, such that P=r c2. Imposing a liquid-vapor model23 requires equilibrium of pressures, such that nucleus to electron densities are of order 1016 to 1 A proton of ~2000 electron masses might be initially held together by gravity at the critical radius of Eq. ( I ). There would be tremendous pressure and energy potential to eject 1/2000th of it's mass. Are the proton and electron within the hydrogen atom always the same ones or do they resonate? In reference to an electron's mass and charge in the absence of measured mass and charge, Rigden21 (p. 168) asks, "In the words of the trade, what are the base mass and base charge?"
Being independent of time, light has freedom, while mass has a time dependent security. The need of mass for more time is panpsychism and involves light. Photons, electrons, and their interactions with mass are better left to a subsequent article. For those wishing clarification, more detail, or wish to comment on aspects of this approach, you may e-mail the author at sdog1@sbcglobal.net.
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oh boyo....this book idea....cruelty is sometimes a decision not to write anything for too long.Posted Oct17-09 at 07:31 PM by chascomm




