## Saturday, July 25, 2015

### post to physics stack exchange, black hole is negative entropy by correct plank units

k and c can be set to 1 in a more real sense than the other constants because they do not have any fundamental units like length/time, mass/energy, or charge.  By relativity, c's length over time cancels, but you should always conserve the sqrt(-1) that goes with time so its unit is 1/i. In other words, whenever you see "seconds" in units, like G and h, replace it with meters/i/c.  To be precise, Einstein's book "Relativity" in appendix 2 says meters = i c seconds.

k is units of heat energy divided by temperature which is a kinetic energy constrained to a strict distribution profile, so it is also unitless. Temperature is a measure of energy, period.  Making these substitions into the equation given by the other answer and you get G~ m/kg/-1 and h~ -kg m/i, c^3~ -i, and k~ -1/-1.  I converted energy to mass by E=mc^2 which has corrected modern units of E=-m due to the i^2 from c^2 (cosmology agrees), which gives the modern corrected units of a black hole to be

S ~ -1/4

or

S= - A/4

Since cosmology agrees with the equivalent unit derivation procedure for E = - m, I would assume it agrees black holes are a negative entropy, but I don't know what they say, I'm just using the correct units.

Making the assumption that the 4 refers to the dimensions of space-time, this states that entropy for all black holes of any radius is proportional to a negative dimension, whatever that means.  You can have negative entropy by making use of -1=e^(i pi).

Our brain contains 6 layers of neurons in the cortex that might be what allows us to use 6 degrees of freedom in compressing reality, so it might be why we perceive 3D space and 1D time (6 variables are needed to specify movement for translation and rotation and this might force concepts of mass and spin, according to someone a lot smarter than me).

Therefore, the dimension would be a variable of compression. So a negative dimension would be a positive variable of decompression of data. Not the decompression or data itself.

The only other interesting thing I could find is someone saying that -1/4 is the sum of the negated infinite series -(1-2+3-4...)

I personally consider all integers above 1 in physics as symptoms of something we do not yet understand, even squares like E=mc^2.  But notice that if you add this series up as you go it is alternating between 1 and -1, which I'll accept as something possibly important. It might be a way of describing the singularity of black holes. But infinite series math is tricky, and adding them up as you go is a statistical adjustment (data reduction of the details) that needs justification. Adding again like this would be 0, not -1/4. Addition of the whole is not equal to addition of the parts in an infinite series.