Still waiting for any article claiming that discrete time/space are accepted science.
Missed this a bit back there. What do you mean by 'discrete time/space,' because this odd statement does not reflect anything I claimed.
No, the particle in a box is a standard quantum mechanical exercise that applies to *any* particle. It isn't a matter of size.
False, it refers to Quantum particles not any particle(?). Read the reference again.
en.wikipedia.org
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between
classical and quantum systems. In classical systems, for example, a particle trapped inside a large box can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive
energy levels. Likewise, it can never have zero energy, meaning that the particle can never "sit still". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.
The particle in a box model is one of the very few problems in quantum mechanics which can be solved analytically, without approximations. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It serves as a simple illustration of how energy
quantizations (energy levels), which are found in more complicated quantum systems such as atoms and molecules, come about. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
Are you wanting a discussion of quantum gravity? If so, there is no
accepted theory of such. Anything said about it will be pure speculation.
Now, it is YOUR turn. Give any article showing that discrete, quantized space and time is accepted science. AT this point, none of the articles you have given are relevant to that claim.
No the above needs some explaining, because it does not reflect the reference to 'Particle in a box' and your statement concerning 'discrete time' is nonsense. the unanswered question needs to be addressed concerning the question of continuous time at the Quantum scale.