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Some Features of Biophotons and their Interpretation in Terms of Coherent States(5)
Fritz-Albert Popp 

 
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Introduction
Coherent State Approach to Biophotons
The Cancer Problem
Acknowledgements
References
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In this model, there is no difficulty to understanding that compounds that work as carcinogens may at the same time induce cell divisions. For , the transition from coherent states to number states reduces the coherence volume, say, to the size of a cell. The photocount statistic changes then within a cell from a Poissonian distribution to a geometrical one. As a consequence, photon bunching takes place, doubling the probability of absorbing a second photon as soon as a first photon is created. This is the most favourable condition as well as the most reliable signal for cell division. A lot of papers [16] have already been written on this subject, and we will not repeat all the arguments here. It is also obvious that Alexander Gurwitsch's "mitogenetic radiation" finds a clear interpretation without any contradiction to the theory of coherent states in living systems.

Let us take a simple but persuasive example. "Mitogenetic radiation" is the part of the coherent field that decays into number states. This means that the growth induction has to follow a linear relationship , where N is the number of cells, m a proportionality constant as a measure of biophoton intensity per cell and  the number of cell divisions per unit of time (counting the growth rate). On the other hand, every coherent photon inhibits the growth rate and is proportional to the square of cells, i.e. , where C is a measure of coherence. Consequently, the growth rate in a cell population follows the law

(23)

Fig.2 displays an example.

Figure 2.
The biophoton intensity (left side) correlates to the cell growth (right side). The growth rate (right side) follows rather accurately eq.(23). This means that biophotons are not products of cell division but the real inductors, working as "mitogenetic radiation".


Acknowledgements
After thirty years work on biophotons - in particular on the theory of their coherence - it is time to express my thanks to all who stimulated, supported or enunciated this idea in various personal discussions.

Among others there are Yakir Aharanov, Wolfgang Bahr, Rajendra Bajpai, Lev Beloussov, Otto Bergsmann, Marco Bischof, Peter Böhm, Josef Böhm, David Bohm, Wolfgang Bongartz, Gideon Carmi, Jiin-Ju Chang, Barbara and Stan Chwirot, Sophie Cohen, Gisela Draczynski, Brenda Dunne, Hans-Peter Dürr, Herbert Fröhlich, Michael Galle, Karl-Heinz Gebhardt, Gerd Grolig, Qiao Gu, Anna Gurwitsch, Julius Hackethal, Karin Hermann, Mae-Wan Ho, Josef Issels, Bob Jahn, Gottfried Kellner, Lebrecht von Klitzing, Fritz Kramer, Ke-hsueh Li, Hao-Bai Lin, Peter Mandel, Jürgen Matschke, Ludger Mersmann, Thomas Meyn, Rajen Mishra, Franco Musumeci, Walter Nagl, Hugo Niggli, Gerhard Pindur, Alfred Pischinger, Hal Puthoff, Ilya Prigogine, Martin Rattemeyer, Bernhard Ruth, Peter Saunders, Denis Schamhart, Hans-Günter Schmidt, Werner Scholz, Wolfram Schommers, Bernd Schulze, Xun Shen, Janusz Slawinski, Jan Souren, Ulita Staszkiewicz, Vladimir Voiekov, Roeland van Wijk, Karl Windstosser, Peter Wulle, Yan Yu, Bernd Zeiger, Chang-lin Zhang.


References
  1. Ruth, B. und Popp, F.A., Z. Naturforsch. 31c(1976), 741.
  2. Popp, F.A., Ruth, B., Bahr, W., Böhm, J., Grass, P., Grolig, G., Rattemeyer, M., Schmidt, H.G., and Wulle, P., Coll.Phenomena 3 (1981), 187.
  3. Slawinski, J. and Popp, F.A., J. Pl. Physiol. 130 (1987), 111.
  4. Rattemeyer, M., Popp, F.A., and Nagl, W., Naturwissenschaften 68 (1981), 572.
  5. Galle, M., in Recent Advances in Biophoton Research and its Applications, eds. F.A.Popp, K.H.Li and Q.Gu. Singapore: World Scientific, 1992, pp.345-356.
  6. Li, K.H. and Popp, F.A., Phys. Lett. 93A (1983), 262.
  7. Glauber, R.J., Phys. Rev. 131 (1963), 2766.
  8. Mehta, C.L. and Sudarshan, E.C.G., Phys. Lett. 22 (1966), 574.
  9. Popp, F.A. and Li, K.H., Intern. J. Theor. Phys. 32 (1993), 1573.
  10. Popp, F.A. and Chang, J.J., Science (China), in press.
  11. Schamhart, D.H.J. and van Wijk, R., in Photon Emission from Biological Systems, eds. B.Jezowska-Trzebiatowska et.al. Singapore: World Scientific, 1987, pp.137-152.
  12. Grasso, F., Grillo, C., Musumeci, F., Triglia, A., Rodolico, G., Cammisuli, F.,Rinzivillo, C., Fragati, G., Santuccio, A., and Rodolico, M., Experientia 48 (1992), 10.
  13. Scholz, W., Staszkiewicz, U., Popp, F.A., and Nagl, W., Cell Biophysics 13 (1988), 55.
  14. Popp, F.A., Arch.Geschwulstforsch. 47 (1977), 97.
  15. Pullman A. and Pullman, B., Adv. Cancer Res. 3 (1955), 91.
  16. Popp, F.A., in Electromagnetic bio-information, eds. Popp, F.A., Becker, G, König, H.L, and Peschka, W. München: Urban & Schwarzenberg, 1979.
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