Subject: Non-unitray dynamics at all times
Date: Thu, 28 Nov 2002 21:18:47 +0200
From: Dimi Chakalov <>
To: John V Corbett <>,
     Thomas Durt <>
CC: [snip]
BCC: [snip]

Dear Drs. Corbett and Durt,

I like your paper on quantum real numbers [Ref. 1] very much. It seems to me that you might provide an answer to the mind-boggling question of quantum reality [Ref. 2].

You said that quantum real numbers relate to the standard real number much like a continuous function on an interval does to a point in the interval, and that "every physical quantity has a quantum real number value at all times" [Ref. 1]. I think we all can verify your ideas with our brains,

Thank you for your wonderful paper.

Best regards,

Dimi Chakalov
Dead matter makes quantum jumps; the living-and-quantum matter is smarter.


[Ref. 1] John V. Corbett and Thomas Durt, Quantum Mechanics interpreted in Quantum Real Numbers,

"Basic postulate 0

"Furthermore, every physical quantity has a quantum real number value at all times."

"So we must abandon that part of our classical intuition according to which the values of quantities preexist as standard real numbers before the measurement. They only pre-exist as quantum real numbers.

"A cat composed of atoms and molecules which may be localised in terms of quantum real number values but not localised in terms of classical standard real number values could as well be both living and dead to an observer if the difference between being alive and being dead is just a question of molecular configurations.

"What is it that actualises potentialities? Our model provides a different way of posing the question. Do there exist Newtonian forces that when expressed in quantum real numbers allow a quantity whose quantum real number values are not 'e' sharp collimated to evolve so that its quantum real number values do become 'e'  sharp collimated? It seems reasonable that such forces exist, but we do not yet have an answer to this question.

"In a dynamical model of the measurement of the position of a particle we showed how the quantum real number value of the position is forced to be an almost classical real number if we impose that it gets registered during a unitary interaction with the classical measurement apparatus, which suggests that new, non-unitray dynamics ought to be studied in the framework of the quantum real number interpretation of quantum mechanics."

[Ref. 2] Erwin Schrödinger, "Die gegenwärtige Situation in der Quantenmechanik" (The Present Situation In Quantum Mechanics), Naturwissenschaften 23, pp. 807-812; 823-828; 844-849 (1935). Translated by John D. Trimmer,

"8. Theory of Measurement, Part One

"The rejection of realism has logical consequences. In general, a variable has no definite value before I measure it; then measuring it does not mean ascertaining the value that it has. But then what does it mean?"