“c” The Speed of Light Constant
The speed of light in a perfect vacuum is exactly 299,792,458 m/s. But this hides the complex value of the number c. It is arbitrarily precise because we define a unit of length called a meter (m) in terms of the distance light travels in 1/299792458 seconds in a perfect vacuum. But the actual length that light travels a fractional meter is actually an infinitesimally precise value whose digits go on infinitely. The actual calculation of c is as follows, derived from Maxwell’s famous equations that govern ALL electromagnetic fields, which includes light:
c=1/[square_root(µ0 * ε0)]
µ0 is a constant called the permeability of free space
Notice how it depends on a constant called “pi” or π which we all learned in school. This is an incredibly important number in our universe. More shortly on pi.
ε0 is a constant called permittivity of free space
Since ε0 is a constant that depends on µ0, which depends on “pi”, whose digits go on forever (more shortly); it also goes on indefinitely – it is not a precise number.
So, therefore, the precise value of a meter, and hence, the speed of light, is not a finite number. Instead, the digits of a meter of length “m” which is used to define light constant “c” must go on indefinitely for numbers that are not whole numbers, given the arbitrary definition of a meter relative to the speed of light.
“e” Euler’s Number
Euler’s number is fascinating. It occurs in nature, our universe, everywhere. And it is a shockingly precise number without end, meaning the digits go on forever, never repeating. e is called the natural logarithmic number because all things in nature which grow exponentially and continuously, do so according to this exact number e. It’s phenomenal actually.
e can also be calculated as the sum of the infinite series:
- e = 2.718281828459…
e is the base rate of growth shared by all continually growing processes in nature and our universe – things like population growth, including stuff like bacterial growth, compounded interest rate growth, radioactive decay, and on and on. In other words, ex, where e is 2.718… and x is some variable.
So far, mathematicians have calculated e down to the 500th BILLION digits beyond the decimal point. It goes on forever. Never repeating. It is a fascinating number that one could literally spend an entire lifetime studying.
An interesting thing about e, one of many in fact, is that it is the only equation whose slope at the tangent of the curve at any point is equal to the y axis value.
Function f(x) = ax for several values of a. e is the value of a such that the gradient of f(x) = ax at x = 0 equals 1. This is the blue curve, ex. It is the only number in the entire universe that meets this special criteria.
The preciseness of e is the most fascinating part. The digits never end, and yet, it is critical to understanding nature and our universe. It’s impossible to precisely simulate anything in this universe without this number e.
Geometric Ratio Constant Pi
The number pi, represented by π, is a mathematical constant, the ratio of a circle’s circumference to its diameter. Any circle will return the same value of pi. Always.
Mathematicians have calculated the value of pi down to the two quadrillionth digit, or 2,000,000,000,000,000th digits beyond the decimal for pi. It keeps going on forever as well, similar to e.
This value of pi, which we showed in earlier calculations for the speed of light c and Maxwell’s equations for electromagnetic fields, shows up everywhere in this universe and in nature. All things are electromagnetic waves, things like light and radio waves used for communications; and when we consider the relationship between matter and energy (E=mc^2), it means that all objects, all matter, all energy, depends on this simple number pi, an incredibly important geometric relationship between a circle’s diameter to it’s circumference. It seems like such a trivial thing, yet so significant to our understanding and representation of our universe.
It is precise, down to the infinitesimal digit, going on forever. There is no truncation in the real world. The fact that we can instantaneously, real-time, measure things that depend on c, e, and pi, to as much resolution as we desire, proves – unambiguously – that this – our world, our universe – cannot be a simulation. This level of detail and resolution is IMPOSSIBLE in any simulated system using any type of computation system. Furthermore, this type of resolution and detail cannot be “faked”, because of the incredible inter-dependence of everything. We can cross-check, cross-calculate every single detail, measurement, observation in the real world and it will tie precisely with every other detail and information. Precisely. Down to the infinite digit of resolution if we so desire (and had the capability). If I shine a light wave in a room, at any given point in space-time, taking into account all of the complex reflections and re-reflections, I can calculate – in theory – the expected energy and spectral composition of the light in the room, on any object, or any point in space. In VR, there would be truncation errors, rounding errors; or it simply wouldn’t even come close to matching or tying it all together because the real-time nature of the simulation requiring immense computational power. Now imagine trying to simulate the entire universe in some imaginary super-duper powerful computational system as Elon Musk suggests. It’s absurd.
Reality NEVER Truncates
The main difference between any simulated or virtual reality and actual reality is the accuracy. VR will always truncate, because they have to – all computational systems require this, whereas, reality can express resolution and detail down to the infinite or infinitesimal level. It never ends. And if we could actually measure or quantify it in real-time, we would see that. Virtual reality doesn’t even come close. It never will. It’s literally impossible.
This difference may not be perceivable by the human eye or senses, but we can surely calculate and see the differences to empirically prove we are not living in some simulated dream.
Even the simplest of mathematical operations (even adding or subtracting) one or two numbers with infinite digits is impossible to precisely calculate, using any computer system. Now imagine trying to do this constantly, simultaneously, with an infinite number of variables, calculations, and equations – all real-time. In what fantasy land is that even possible?