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Books and publications on the
interaction of systems in real time by A. C. Sturt |
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The Timeless Universe IV. The Redshift Exponential |
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by
A. C. Sturt cont |
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PART I 3.Model
of the Expanding Universe 4.Stochastic Regeneration and Redistribution Model Table
- Stages of the Expansion Model PART II 1.
Redshift - Conventional View Footnote
1 - Differentiation of Space Footnote
2 - Observational Frameworks of Time Footnote
3 - Light Frequency compensation Mechanism of Individual Atoms Footnote
4 - Redshift and Rotation of Celestial Bodies PART III PART IV PART I 3.Model
of the Expanding Universe 4.Stochastic Regeneration and Redistribution Model Table
- Stages of the Expansion Model PART II 1.
Redshift - Conventional View Footnote
1 - Differentiation of Space Footnote
2 - Observational Frameworks of Time Footnote
3 - Light Frequency compensation Mechanism of Individual Atoms Footnote
4 - Redshift and Rotation of Celestial Bodies PART III PART IV |
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The Timeless Universe II. The
Redshift Reinterpreted presented equations for the distance, velocity and
acceleration of sources of light from an observer in the model of a Universe
which is in equilibrium, but stochastically regenerated. The assumption
inherent in such equations was that wavelength increased by a constant
quantity, say a given number of nanometres, per unit of distance travelled,
whether kilometre or light year. The implication of this was that light which
had travelled far from its source, and had changed wavelength, still carried
with it the value of this quantity, which had been impressed on it as soon as
it left the source. Such an interaction with a Universal field, which is what
the paper proposes as the cause of redshift, would be difficult to envisage. It seems much more likely that the increase of wavelength
depends on the conditions in which the light finds itself at each stage of
its journey. It would then be the ratio of the increase in wavelength to its
current value which is proportional to an increment of distance travelled. 1. Wavelength
If the wavelength is λ, and the increase of
wavelength is dλ when the light travels a distance dx
through the field, then:
where α is a constant for the interaction of
light with the field concerned. From this it can be seen that:
and
When x = 0 i.e. as the light leaves the source, the
value of the exponential is 1, and λ takes its initial value λo. The complete equation is therefore:
i.e. there is an exponential increase of wavelength with
distance travelled. 2. Frequency
Similarly, if the light is described by its frequency f
rather than its wavelength, then λf =
constant f =
constant/λ and so
If the frequency of the light was f0 when
it left the source, and f is its frequency at any stage, then
3. Distance
The distance of a source from an observer can be
calculated from the equation for redshift if the value of the constant α
is known, provided it is accepted that the frequency of light emitted by an
excited atom at the source is the same as the frequency of light emitted by
an excited atom of the same element on Earth i.e. the frequency of light
emitted by atoms is homogeneous through time, and hence space. If λ
is the wavelength of light from a source observed on Earth, and λ0
is the wavelength of light from the excited atom of the same element measured
in the laboratory, then
By substitution for observed λ,
Rearranging,
Therefore,
distance,
velocity,
and acceleration
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straight line
redshift versus distance – the assumption more likely
relationship of dλ to λ dλ/λ
proportional to distance exponential increase
of λ with distance exponential decrease
of f with distance light on stars same
as light on Earth homogeneous through
time measurement of: distance of source velocity of source acceleration of
source |
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Copyright A. C. Sturt 27 September 2001 |
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Churinga
Publishing |