Subject: The cyclic-and-linear time
Date: Fri, 27 Jun 2003 16:20:04 +0300
From: Dimi Chakalov <>
To: Michel Planat <>

Dear Michel,

Thank you very much for your email of Fri, 27 Jun 2003 10:49:50 +0200. I immediately downloaded your very interesting article "Time measurements, 1/f noise of the oscillators and algebraic numbers" [Ref. 1].

Regarding the reconciliation of the cyclic and linear time: perhaps you may wish to study the "spiral" of these two times in Ulric Neisser's cognitive cycle,

The topology of this cognitive space is a great mystery. I can only speculate that the universe follows the same cognitive cycle, and that the linear time corresponds to some local mode of spacetime, while the cyclic time refers to a global mode of spacetime,

The metaphysical implications are well-known: there is a special state of the whole universe, in which everything is entangled into ONE. This special UNspeakable state exists as some numerically finite but physically unattainable "boundary",

We are confined inside the universe, and can never reach its "final" boundary, because we inevitably use finite time intervals,

It's just like the old story of the Dragon chasing its tale: the Fibonacci sequence is infinite,

Hence we jump from metaphysics to the real world of multi-billion particle accelerators,

"Everyone is disappointed and frustrated," says Judy Jackson of Fermilab [Ref. 2].

I wish you could help them.

Best regards,

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


[Ref. 1] M. Planat, "Time measurements, 1/f noise of the oscillators and algebraic numbers",

"The principle may be useful in reconciling two opposite views of time, the cyclic and the linear one, the philosophic view of eternity as opposed to that of time and death.

"Time also lies at the boundary between order and chaos leading to the Golden ratio [alfa], the most irrational number. A measure of time is the chambered snail Nautilus [10], that nature designed as a logarithmic spiral, each chamber being an up-scaled replica of the preceding chamber, with a constant scale factor equal to [alfa]."

[Ref. 2] Key sub-atomic particle slips away again, by Celeste Biever, New Scientist, 19:00 25 June 03,