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- Newsgroups: rec.puzzles
- Path: sparky!uunet!caen!batcomputer!cornell!karr
- From: karr@cs.cornell.edu (David Karr)
- Subject: Re: Billion-year survivability
- Message-ID: <1992Nov18.025956.9361@cs.cornell.edu>
- Organization: Cornell Univ. CS Dept, Ithaca NY 14853
- References: <1992Nov10.114703.26890@ugle.unit.no> <1992Nov12.195311.22523@wisipc.weizmann.ac.il> <1992Nov17.163245.14885@oucsace.cs.ohiou.edu>
- Date: Wed, 18 Nov 1992 02:59:56 GMT
- Lines: 26
-
- All right, this business about bouncing radio signals off objects a
- half-billion light-years away is getting way out of hand. I propose the
- following question:
-
- Suppose you can modulate the power output of the Sun at a radio
- frequency (i.e. you have a BIG signal). Now let this signal propagate
- away from the Sun in all directions (as proposed) and strike some
- object one half billion light-years away; suppose that object is a
- sphere the diameter of our Galaxy which is, miraculously, perfectly
- reflecting in your chosen frequency band. The "echo" of your signal
- also propagates in all directions, including the direction of the
- Earth. Suppose you have an antenna the diameter of the Earth's orbit
- to receive the signal.
-
- Now, what is the power of the signal you receive back after a billion
- years, after taking into account the dissipation of the signal over
- these large spheres of propagation? (Just to add insult to injury,
- don't forget to include the Doppler red-shift due to the motion of
- your reflector due to the expansion of the universe.) What is an
- appropriate unit in which to measure the power? electron-volts
- per second? Or micro-, pico-, or atto-ev per second? Per year?
-
- Anyone care to look up the relevant physical constants and do the math?
-
- -- David Karr (karr@cs.cornell.edu)
-
-