Here is something for
@Chesterton to consider, if he is smart enough he might be able to comprehend it and realise why his video is utter nonsense particularly when it is centred around the idea that distance is an illusion.
In a previous post I explained that quantum field theories including entanglement depends on space-time being real meaning distance is not an illusion, another refutation given here and at a more elementary level involves dimensional analysis and basic quantum mechanics.
Firstly the dimensional analysis; mass is defined as M, distance has dimension of length L, velocity is defined as distance L per time T with dimension LT⁻¹, momentum is mass multiplied by velocity with dimension MLT⁻¹.
In basic quantum mechanics, the position x and momentum p of a particle cannot not be measured with 100% certainty, reducing the uncertainty in the position Δx, increases the uncertainty in the momentum Δp and vice versa.
The relationship between Δx and Δp is defined by the Heisenberg uncertainty principle.
Δx.Δp ≥ h/4.
Performing dimensional analysis on Δx.Δp gives LMLT⁻¹ = ML² T⁻¹.
The right-hand side of the equation must also have the same units hence h ≡ ML² T⁻¹.
h is a physical constant known as Planck’s constant and has the value 6.6260715 x 10⁻³⁴ J.s.
J.s is joule-seconds and has the dimensions ML² T⁻¹.
So where does h appear in nature, one example is the energy levels Eₙ in the hydrogen atom defined by the equation
Eₙ = -mₑe⁴/8εₒ²h²n² ≡ MM²L⁶T⁻⁴/M²L⁴T⁻² = ML²T⁻² which is the dimensions for energy J in joules.
In the hydrogen spectrum the observed spectral lines directly correspond to the energy spacings between allowed electron energy levels.
Since L appears in the dimensional analysis for energy does this mean the spectrum of any atom is an illusion; does any physical parameter which contains L in its dimensional analysis also an illusion?
