Inferring the Limits on Reality (that Even the Gods Must Obey)

It is easy to demonstrate that the Heisenberg Uncertainty principle is merely the limiting case of the Shannon Capacity Theorem, for information content: it corresponds to a measurement that contains only a single bit of information.

The Shannon Capacity can be stated as:

The total amount of information contained in a series of measurements, of finite duration, can never exceed the number of bits required to digitize (and perfectly reconstruct, down to the noise level) the band-limited input signal being measured:

(number of bits of information)

For some reason, the end of my previous post was cut off.

I'll try posting it again:

It is easy to demonstrate that the Heisenberg Uncertainty principle is merely the limiting case of the Shannon Capacity Theorem, for information content: it corresponds to a measurement that contains only a single bit of information.

The Shannon Capacity can be stated as:

The total amount of information contained in a series of measurements, of finite duration, can never exceed the number of bits required to digitize (and perfectly reconstruct, down to the noise level) the band-limited input signal being measured:

(number of bits of information)

For some reason, the end of my previous post was cut off again. I'll try posting it again:

It is easy to demonstrate that the Heisenberg Uncertainty principle is merely the limiting case of the Shannon Capacity Theorem, for information content: it corresponds to a measurement that contains only a single bit of information.

The Shannon Capacity can be stated as:

The total amount of information contained in a series of measurements, of finite duration, can never exceed the number of bits required to digitize (and perfectly reconstruct, down to the noise level) the band-limited input signal being measured:

(number of bits of information) is less than or equal to (number of samples)(number of bits per sample)

The limiting case is when there is only one independent sample, with only a single, possible, significant bit (limited by the signal-to-noise ratio), hence, one bit of information.

Rob McEachern

The post problem in the previous posts, seems to be that the system interpreted the mathematical symbol for "less than", followed by the symbol for "equal", as a command to end the post. So I replaced the symbols with words.

Rob McEachern

Robert, I've had similar problems and I sympathize. REM that this system is more based on LaTeX not HTML, and to use preview function. You might be able to find a character that looks like gr.thn. or ls.thn., that won't be interpreted as a command. BTW have you seen anything like my BR proof before? Cheers and happy Fourth as it may apply.

Neil,

I have a rather different take on the Born Rule:

Wave-functions are described mathematically in terms of Fourier Transforms. The transforms are invariably mis-interpreted as physical (rather than purely mathematical) superpositions. However, Fourier Transforms have another, very different, physical interpretation, commonly used in communications theory; they are tuned filter-banks, in which the "power spectrum" measures the power received within each narrow "bin" of the transform. If the input signal consists of a set of identical particles or wavelets, each carrying an identical amount (quantum) of energy, then the power spectrum is it fact, nothing more than a histogram, in which the total energy received in each bin, divided by the energy per particle, equals the number of particles received per bin. That is why the whole process corresponds to a probability measurement - it literally is - a histogram.

Reality combines information on itself, making it perceptually unified and objective. In order for Heisenberg's Uncertainty Principle to work, there must be information that is excluded from reality at one moment in time and then "collapses" the next, transforming the unreal into the real. However, this is speaking colloquially, since reality is more than the sum of its perceptions and the information gained or yielded by them. Each inference device, such as humans, gods, or intelligent observational machines, moving forward each moment in time, must actually be conscious of the information contained in the others' mind in order to predict what that conscious entity will do. So information plays a fundamental role in determining reality or the state of the universe. Wheeler understood this and posited an "observer-participant universe".

Claude Shannon understood it long before Wheeler. The Heisenberg uncertainty principle can be simply derived from Shannon's Capacity theorem, by considering the minimum possible amount of information (one bit) that can ever be extracted from a measurement; it corresponds to a single, independent, measurement "sample', with a single significant bit. It has nothing to do with any "collapse", nor is consciousness required. But you are correct in that information acquisition, is dependent upon a priori knowledge.

A priori knowledge is knowledge gained by reasoning and reasoning, as Kant noted, yields theoretical knowledge, which, if successful, is reality.

A virus entering your body, has a priori knowledge concerning how to infiltrate your cells. It did not obtain that knowledge by reasoning, or any other process known to Kant.

Rob McEachern

You are confusing causes and effects. A virus contains genetic information - a priori knowledge about how to behave, given an opportunity to behave. How that came to be, by chance, by design, or some other mechanism, is irrelevant. The knowledge exists within the virus before (a priori) its arrival near a cell. Consequently, it does not have to rely upon trial-and-error (chance), in order to infiltrate a cell.

Rob McEachern

One must first ask the right questions?..can a three-dimensional particle, transmute to a two-dimensional space, still exist as an observable? Just as an observable god A,within a Universe, cannot be sure of an un-observable god B external to the observable Universe A?

2-Dimensional Quantum Mechanics, exist, (unobservable), within 3-dimensional Relative space-times. XYZ becomes XY-YZ-XZ..ETC..ETC, QM loses a factor of observation..or information loss?

You cannot expect to make a measuring device, if the devise itself loses an observational contributing factor?

Can you really infer 3-D bits, can exist within 2-D waves?

Information equates to mind, which equates to reality.

EINSTEIN ON SLD

There is a possibility Einstein was using LSD because he "invented" many concept which still today are heavy burden on physics. Let's see most influencing one:

- coordinate time

-proper time

-time dilatation

-space-time (where time is a 4th dimension of space)

-constancy of light speed

-length contraction

-internal observer

-external observer

-empty space

-graviton.Attachment #1: Einstein_on_SLD.pdf

I'm thinking that the time line might contradict your hypothesis. SR dates to 1905. GR dates to 1915. According to Wikipedia, LSD was synthesized is 1938. Its psycho-active properties were discovered in 1943. Of course, a variation occurs naturally as a rye fungus.

Regards,

Gary Simpson

Gary,

You are correct. More then that, the much publicized hype about the psychedelic era is largely a fabrication of sensationalism which is wholly ignorant of the realities, and of drug usage and their effects. The 'hippies' were a diverse mixture of competing conceptual movements which developed in the era of blossoming progressive intellectualism that was truthfully in response to the impact globally of the awareness that nuclear weapons could extinguish all life. Many of those that 'looked the part' were actually spiritually inclined and adverse to any intoxicants, and most others indulged only to a degree of what might be called a communion of safe passage, lest they be attacked by the more paranoid elements associated with trafficking. Experimentation by young adults especially on college campuses made drug use and progressive movements co-incidential in time and location. It was really the bureaucratic reactionism against such 'give peace a chance' movements that labled progressives as 'drug crazed', and there is plenty of archival evidence of that sensationalist propagandizing which actually had the consequence of promoting curiousity and defiance and exacerabating drug usage. COINTELPRO destroyed countless innocent lives and much of the reactionary response to drug use was counter-productive to interdiction and often corrupt. Witch-hunting.

As for the psychotropic effect of LSD, it is just the opposite of what Amrit suggests. The drug causes a constant reiteration of a relatively focused perception, be it a mood, idea or sensation. The much hyped 'expansion of consciousness' by those whom experienced 'good trips' was more a post experience attempt to rationalize the indulgence. It does not induce an evolutionary thought process. THC, on the other hand, which was and is often a drug of choice by artists, musicians and other creative types, does lend itself to an exploratory reverie due to its mild euphoric and relaxant qualities with little in the way of side effects unless indulged compulsively by those whom would do the same with alcohol or gambling. I rather expect Einstein would have been exposed to absinthe, not pot, in Vienna. I think where you would find archival evidence of a real impact of drug use on scientific thinking is in the famous cocaine addiction of Sigmund Freud, whom did eventually come to recognize it himself and that the drug did have the effect of producing a channelized compulsive psychoactive drive. The modern cocaine epidemic also has impacted financial markets in that the very drive that Freud finally admitted, is often sought by many of compulsive ambition. And it might be added, that the financial markets have also become addicted to Quantum Mechanics.

Keep yer glasses an yer cigaretts below the winder soes nobody hassels ya. 'Toronto John McCaul'

Amrit..take a look at Picasso's early work prior to 1909 ?..not a hint of cubism..then he discovers Einsteins work, which alters his perception of 3-D dimensional space, or perspective, probably the only mind altering substance in that era..was probably Einsteins work? :)

Dear David Wolpert ,

As you said:

Inference devices are physical machines that obey the normal rules of mathematics and logic. The only a priori restriction on them is that they exist in the same physical universe as the system they want to know about.

/PS this metarules field or metauniverse is mentioned by Laura Mersini, ask her /

So if:

It is proved that it's impossible for one inference device (device A) to both know its own answer to an arbitrary question and to also know the answer to the same question by a different inference device B

My point:

This show up one practical questions if I need to run universe, i need to have best possible Control and knowledge from inside and outside.

I am creator, I know that can not be perfect for 100 percent but with high probability. High probability means good control or feedback to my management

then my universe is stable, and all my ideas are transformed to real one well

Best possible means avoid interference at all, minimise to total minimum of interference, means interference device probably is not controling, measuring every state just measuring, controling underlying laws.

Questions:

Are we living in universe constructed best possible to be controlled, measured and predicted by interference device ?

Thanks

Jan

It is intresting dear John .Apparently you like the canabis you lol :)