10 Nov '09 13:35
I'm interested to see where you're going with this "information is orthogonal to space-time", so I decided to create this thread so we can talk a bit about it.
To get the ball rolling, to reach some sort of meaningful communication we need to agree on what we mean by "information" (maybe we'll get to orthogonality further on).
So, let's take wikipedia's articles as a starting point.
http://en.wikipedia.org/wiki/Information
There's a whole gamut of definitions there. But let's choose the one that concerns physics, which I think is the one you're thinking of (correct me if not):
http://en.wikipedia.org/wiki/Physical_information
Even here we see two competing definitions, the classical and the quantum one.
So, we have that:
- The instance of information that is contained in a physical system is generally considered to specify that system's "true" state.
So the specification of the state of the system is what information is, according to both these definitions.
We also have that:
Quantum information specifies the complete quantum state vector (or equivalently, wavefunction) of a system, whereas classical information, roughly speaking, only picks out a definite (pure) quantum state if we are already given a prespecified set of distinguishable (orthogonal) quantum states to choose from
So I don't see how information can be said to be orthogonal from space time if information is defined as a specification of the state of the universe (or any subset).
Do you agree with these formal definitions of information? If not, what precisely do you mean by information?
To get the ball rolling, to reach some sort of meaningful communication we need to agree on what we mean by "information" (maybe we'll get to orthogonality further on).
So, let's take wikipedia's articles as a starting point.
http://en.wikipedia.org/wiki/Information
There's a whole gamut of definitions there. But let's choose the one that concerns physics, which I think is the one you're thinking of (correct me if not):
http://en.wikipedia.org/wiki/Physical_information
Even here we see two competing definitions, the classical and the quantum one.
So, we have that:
- The instance of information that is contained in a physical system is generally considered to specify that system's "true" state.
So the specification of the state of the system is what information is, according to both these definitions.
We also have that:
Quantum information specifies the complete quantum state vector (or equivalently, wavefunction) of a system, whereas classical information, roughly speaking, only picks out a definite (pure) quantum state if we are already given a prespecified set of distinguishable (orthogonal) quantum states to choose from
So I don't see how information can be said to be orthogonal from space time if information is defined as a specification of the state of the universe (or any subset).
Do you agree with these formal definitions of information? If not, what precisely do you mean by information?