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CMBR? Not in the Big Bang Universe.
----- For some time I've been trying to understand why the spectral energy density graph plot of the 2.73 K CMBR, per formula [1] (2 * pi * f^3) / (c^2 * (exp(h * f / (k * T)) - 1)), is nothing like a 2.73 K blackbody radiator plot according to formula [2] (2 * pi * h * c^2) / (b^5 * ((exp((h * f) / (k * T))) - 1)) (b is wavelength) The graph plot of intensity per frequency unit along a scale of frequencies can be easily converted for direct comparison with formula [2] by converting frequency to wavelength with (c / f) and plotting the curve on the same graph scale as for formula [2]. Whatever shape the curves may follow, 5.35 cycles per cm is the peak point along the emissive power curve for a 2.73 K radiator according to formula [1], and that is found to be 1 / 5.35 = .187 cm wavelength. But this is not so according to formula [2], which gives the peak wavelength as .106 cm. It matters not how the numbers are (commonly) juggled, when the two curves are compared, the asymmetric relationship between the curve peaks (and the curves as well) is always constant. The following graphs referred to below were generated using formulas [1] and [2]. I've made no attempt to sketch them in ASCII for obvious reasons. The graphs are stored at http://www.ozemail.com.au/~mkeon/monpol.html I've also included the text. Graph 1 demonstrates that the peak of a 2.73 K curve per formula [2] aligns with the peak of a 4.816 K curve according to formula [1]. Graph 2 shows the alternative alignment, which is between a 2.73 K radiator per [1] and 1.55 K radiator per [2]. Adding to [1], a 1.76 * T multiplier for temperature or changing the base of the exponential function to 1.76, sets the peak of a 2.73 K curve per formula [1] to align with a 2.73 K curve peak per formula [2], but that would certainly raise a few questions. The perfect alignment of the 1.55 K curve per [2] and the 2.73 K curve per [1] is achieved by taking the square root of the emissive power for each wavelength along the 1.55 K curve, and adding an appropriate multiplier for the comparison. Graph 3 The square root inclusion implies that the longer wavelengths have been stretched by a greater margin than the shorter wavelengths. But that's not possible. Why would the expansion be locally asymmetric? Over a wavelength?? A simple multiplier accounts for the expansion of the entire blackbody curve. There is no reason whatever why the expanding Big Bang Universe would shift the peak of the emission curve, **or the curve shape**, away from that of a natural blackbody radiator. Dimension around a blackbody radiation detector in the 4000 K Universe has doubled in all three dimensions when the temperature of the Universe has fallen to 2000 K, so wavefront areas destined to reach the detector from the 4000 K era will have reduced to 1/4 when they arrive. If wavelengths could have remained constant the total radiation energy received would be reduced to 1/4. The 1/4 energy reduction is further affected because the wavelengths have of course doubled, thus only half the number of wavelengths are passing into the detector per time, reducing the total radiation energy received from **every individual** wavelength to 1/8. And that's the final result from the expansion. No other energy losses can possibly be accounted for. Graph 4 shows the relationship between true 4000 K - 2000 K blackbody curves and the expanded curve from the 4000 K era. The radiation energy from each wavelength for the expanded curve is four times greater than for the real 2000 K blackbody curve. Multiplying the radiation energy for each wavelength of the proper 2000 K radiator curve by four, shows that the expanded curve aligns with the shape of a true blackbody curve (raised above the baseline for obvious reasons). http://www.ozemail.com.au/~mkeon/mon5.gif http://www.ozemail.com.au/~mkeon/mon6.gif According to the two formulae, the asymmetry between the true blackbody and the CMBR curve was present right from the initial CMBR transmission. Apart from the CMBR aligning with the wrong curve shape, there's still the quandary of how to explain the enormous amount of missing radiation energy that is not removed in the expansion. At the very first doubling of dimension, that is already four times greater than would be expected from a true 2000 K radiator (4000^2 / 2000^2 = 4). By the time the expansion has diminished the temperature of the Universe to 2.73 K, that additional energy would rise to 4000^2 / 2.73^2 = 2.147E+6 times greater than for the proper 2.73 blackbody radiator. Being the focal point of that much microwave energy, I would expect that I would be well and truly cooked by now. The sphere radius around the detector from which the background radiation was generated when the Universe first became transparent was expanding away from the detector at the speed of light (radiation was traveling from everywhere to everywhere at the speed of light). Regardless of the expansion rate of the Universe, throughout the expansion, the background source from the 4000 K realm that arrives at the detector was generated in the 4000 K environment. Every part of the CMBR was generated in that realm. The matter content involved in generating the background was thus increasing at a rate that would exactly counter the decreasing wavefront areas, from increasingly distant sources, that are falling on the detector. The 2D wavefront expanding with dimension and a simple count of wave numbers arriving at the detector accounts for the entire energy losses. Nothing else. The Big Bang Theory fails the CMBR test. But not so The Zero Origin Concept, which can be found at http://www.ozemail.com.au/~mkeon/the1-1a.html It paints a rather ugly Universe compared to the inconsequential Big Bang Universe. If mankind doesn't stick around, smart enough and long enough to learn how to bend the rules of the Universe, you, me and the gatepost are guaranteed an eternal hell that has no limit to how deep it can go. I wouldn't hold my breath though, it doesn't look like we'll even make it over the very first little hurdle. A trip back to the dark ages will fairly well seal our fate. Isn't it about time for a reality check folk? -- Max Keon |
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