Year: 1999

In a Newtonian model of *e.g. *the Bohr atom, it is physically ** incorrect** to omit the aggregate forces from all electrostatic charges (monopole radiation [with or without retarded potentials]) in the visible universe. Though the standard hypotheses or cosmic homogeneity/isotropy imply such forces have a

*zero-mean,*they also have a

**non-zero**

*variance!*It is known since Fenyes (1952) & Nelson (1967, 1985) that Schrodinger's Equation is derivable from Newtonian mechanics, in

*(*

__Stochastic Mechanics__**SM**) as a

**neo-classical**alternative to the Copenhagen interpretation of QM. In SM, the forces acting are augmented by a zero-mean, non-zero-variance

*background-field*process, but (although Nelson remarks that

**"no physical system ... is truly isolated"**) no plausible candidate for the

**of**

__source__**mutual energy transfer which averages out to zero"**and is thus

**"responsible for ... quantum fluctuations"**has hitherto been identified. Here it is

**that the**

__proved__**from all of the universe's quarks & electroncs provide a**

__cosmoc monopole radiations____quantitatively adequate__source of Schrodinger's micro-physical

*zitterbewegungen,*thereby explaining both the necessity of a statistical treatment of microphysical "jittering" and rendering mistaken/irrelevant the oft-noted "weirdness" of reality alleged by Copenhagen. For non-relativistic motions, [] in SM, where

*M,*

**and**

*x,***have classical Newtonian significance, and where if the mass**

*F**M*carries one electron charge, the force-vector

**is the sum of the electrostatic forces of all quarks & electrons in a sphere of radius**

*F**R*1

_{o}=*Astronomical Unit*(AU), while

*is a unit-intensity-matrix stochastic vector-process (having dimensions 1/{*

**w**(t)*m*] and

^{2}- sec*h*is a scale-factor having units of angular momentum. Specifically, if

**is the**

*E**expectation*operator and [] the Dirac delta-function,

*is an identity 3-matrix with units 1/[m2 - sec]. Summing the aggregate cosmic forces from outside said sphere arising from charge-sources of mean number density []*

**E{W(t)}**0 and__=__**E**[], where**I**_{3}*particles/m*it is easy to compute (from a convergent integral) that

^{3 }[]

where *e *denotes the electron charge and [] the permittivity of free space and [] a unit-intensity scale-factor of dimensions (m^{5/2}.sec). Now [] per *m*^{3 }from^{ }standard physical cosmology, where [] denotes the usual *critical density* ratio, and where *H _{o }*denotes the value, at the present epoch, in

*(km/sec)/Mpc, of*To test validity of the preceding derivation, note that identifying

**Hubble's constant.***h*with

**yields [] = 0.0693, in relatively excellent agreement with the latest observational data. The result renders the Copenhagen interpretation untenable, vindicates Einstein's surmise that "Goe does not play dice," and demonstrates the ontological**

*Plank's constant***(& physical origin) of**

__reality__**non-virtual**

*Zero-Point Fluctuations*

**(****ZPF**

*).*