# Definition of ubit (unpredictable bit)

We propose this definition as the quantum of information randomness.

One ubit (unpredictable bit) has the following properties:
• Its value may be either 0 or 1, both with equal probabilities.
• Its value is determined by at least one unpredictable event.

## Theoretical background

One unpredictable event impedes all its predictors from knowing two of its magnitudes simultaneously: one previous state and all further transformations until its occurrence.

For example: the result of measuring the exact position of a given particle at a given time is unpredictable due to the uncertainty principle.

## Estimating unpredictability of random number generators

It is possible to estimate the unpredictability of random number generators analyzing how many ubits determine the value of each output bit:
• A pseudo-random number generator, implementing constant transformations to all determinants for all output bits, has an unpredictability of: 0 ubits/1 bits.
• A pseudo-random number generator, seeded with 8 ubits before giving an output of 64 bits, has an unpredictability of: 8 ubits/64 bits.
• A random number generator, such as a qubit in a never measured superposition state, has an unpredictability of: 1 ubits/0 bits.
• A true random number generator has an unpredictability of at least: 1 ubits/1 bits.
The more ubits determine each output bit, the more unpredictable it is, being the highest unpredictability: ∞ ubits/1 bits, the lowest: 0 ubits/1 bits, and the optimum for a true random number generator: 1 ubits/1 bits.

After years of research, we formulated the hypothesis, that the main source of randomness in the entire universe, is the zero-point energy. This would explain, why only hardware is able to generate true and unpredictable random numbers: any software without relationship with the zero-point energy, lacks randomness.

Zero-point energy seems to be the responsible force for moving everything everywhere: it seems to be the creator of time.

Shannon entropy formula measures the equiprobability, while unpredictability is unmeasurable, because the result of unpredictable events becomes deterministic once measured.