quantum theory does not mean that the universe is voxels, or even that it is discrete. The only discrete part of quantum theory is the energy levels of orbiting electrons. But the physics of the underlying virtual particles is entirely continuous and deterministic.
AH, I hope you don't mind me having a go at answering your questions, I'm not a physicist though, these are my opinions:
"What IS time?"
It is a quantity we can macroscopically define as an axis on a manifold (3D space + 1D of time, but curved).
"HOW does it "occur"?"
It doesn't occur... but universes that have time seem to be the only ones where planets and animals can form in order to ask that question.
"Why do we experience it the way we do?"
hard to answer about anything, but I think the reason we have memories of the past and predictions of the future (rather than the other way around) is that the future is higher entropy, so takes HUGELY more storage, but the past is lower entropy and can be stored in the present.
"WHY is it one-way?"
If there was no entropy gradient the world would be hugely disordered (perhaps a big fuzzy cloud) and no-one around. We're only here because the entropy is rapidly increasing, and it only appears one way because our memories are on the low entropy side. If the entropy gradient were the other way then our memories would be on the other side, and we would still feel that time is one way.
"WHY is "c" the upper speed limit?"
It isn't really a limit, you can always go faster and faster from your perspective. But others will not see you go past faster than c.
Its value could either be infinity (which causes problems with causation), or finite. If it is finite, it has to have some value in some units, and we're going to call it c.
"Why does time "dilate" for something more and more as it accelerates through space?"
Either time^2 is positive, in which case time is like a space dimension and we would not call it time, or time^2 is 0 (independent of space) and we live in the Newtonian universe but the infinite speed of light has problems with causation (circular dependencies), or time^2 is negative and we live in Einstein's universe, and we get time dilation. For more info you could look up Lorentz boosts.
"WHY is it that the light from a moving light source will be seen as "c" from both the light-source as it moves AND from a stationary observer?"
Because the light source is time dilated, so, while the relative distance travelled by the light is less, the time that has passed appears to be (and is) less for the person at the light source, so the ratio of the two is the same velocity.
"WHY is a Planck length the lowest limit of space/time resolution in which information exists?"
This is due to the uncertainty principle... it seems to me that there is still a lot of behaviour going on below this length (wave behaviour of virtual particles) but that seems to be the limit of our ability to resolve distances.
"Why did Einstein say there is no "universal frame of reference"?"
In Newton's universe, knowing that the speed of light is finite, one has to assume that the earth is roughly stationary as the speed of light is measured the same in all directions. So there must be a frame of reference (a coordinates) that is roughly fixed with the earth. This would be weird as if you were some another galaxy and shined a torch, the light would come out slower in one direction than another.
In Einstein's special relativity (1905), there is no fixed frame, objects going at any fixed velocity will observe light's speed to be equal in all directions. However, it assumes the acceleration of the frame is 0.
In Einstein's general relativity (1915?) he generalises the laws of physics to work the same on any frame of reference, including accelerating ones.
"Why does the total energy of a particle equal mass times the speed of light squared?"
don't know
Hi again Tglad,
The fact that energy levels are quantized is actually "reflected" throughout the system, producing such things as spin quantum, time quantum and "distance" quantum. The quantum nature of these things at the basis of existence you might call fractalization of quanta.
In the same way that "spin" is fractal...from galaxy clusters down into galaxies into star clusters into solar systems...etc down to quarks and such.
Here's an example discussing spin quantum...
(note the references to Bose-Einstein Condensate (BEC) and their discussion of the lattice (which I termed "substrate" in my model) that is a necessary component of the environment produced for the described experiment.
From:Bose–Einstein condensation of spin wave quanta at room temperature:
"
The unique properties of spin waves result from interactions acting between
magnetic moments. For relatively small wavevectors (k < 104 cm−1), spin wave
dynamics is almost entirely determined by magnetic dipole interactions. Owing
to the anisotropic nature of the magnetic dipole interactions, the frequency of
a spin wave depends not only on the absolute value of its wavevector, but also
on the orientation of the wavevector relative to the static magnetization. For
large wavevectors (k > 106 cm−1), the exchange interaction dominates. In the
wavevector interval 104 cm−1 < k < 106 cm−1, neither of these interactions can be
neglected. The corresponding excitations should be treated as dipole-exchange
spin waves.
From the quantum-mechanical point of view, the spin wave energy should
be quantized. The quantitative theory of quantized spin waves, or magnons,
was developed by Holstein & Primakoff [2] and Dyson [3]. If one considers the
completely magnetized state at zero temperature as the vacuum state of the
ferromagnet, the low-temperature state can be treated as a gas of magnons.
The magnons behave as weakly interacting quasi-particles obeying Bose–Einstein
statistics. Magnons at thermal equilibrium do not usually show coherence effects.
In fact, they form a gas of excitations, nicely described within the quantum
formalism of population numbers.One of the most striking quantum phenomena possible in a gas of bosons is
Bose–Einstein condensation (BEC) [4]. It represents a formation of a collective
macroscopic quantum state of bosons. As the temperature of the boson gas T
decreases at a given density N, or, vice versa, the density increases at a given
temperature, and the chemical potential m, describing the gas, increases as well.
On the other hand, m cannot be larger than the minimum energy of the bosons
3min. The condition m(N, T) = 3min defines a critical density Nc(T). If the density
of the particles in the system is larger than Nc, BEC takes place and the gas
is spontaneously divided into two fractions: (i) particles with the density Nc are
distributed over the entire spectrum of possible boson states and (ii) a coherent
ensemble of particles is accumulated in the lowest state with 3 = 3min.
Several groups have reported observations of field-induced BEC of magnetic
excitations in different quantum low-dimensional magnets (for a review, see [5]).
In these materials, a phase transition occurs if the applied magnetic field is
strong enough to overcome the antiferromagnetic exchange coupling. Such a
transition is accompanied by a magnetic mode softening (3min → 0). It can be
treated as BEC in an ensemble of magnetic bosons. If, however, a gap exists in
the magnon spectrum (3min > 0), there is no possibility of observing BEC at true
thermodynamic equilibrium because m < 3min. In fact, if the magnetic subsystem
stays in equilibrium with the thermal bath (lattice), its state is characterized by
the minimum of the free energy, F (e.g. [6]). On the other hand, the chemical
potential is the derivative of the free energy with respect to the number of
particles.
In a system of quasi-particles whose number can vary, F can be
minimized through creation and annihilation of particles. In other words, quasiparticles
will be created or annihilated owing to energy exchange with the latticeuntil their number corresponds to the condition of the minimum F (this is the
same as m = 0). Thus, to observe BEC in a gas of quasi-particles with 3min > 0,
one should drive the system away from the true equilibrium using an external
source. In the case of polaritons, one uses a laser [7], in the case of magnons,
parametric microwave pumping is a perfect tool for this purpose."
Bose–Einstein condensation of spin wave quanta at room temperature
BY O. DZYAPKO1, V. E. DEMIDOV1, G. A. MELKOV2
AND S. O. DEMOKRITOV1,*
1Institute for Applied Physics, University of Münster,
48149 Münster, Germany
2Department of Radiophysics, National Taras Schevchenko University of Kiev,
Kiev, Ukraine
http://rsta.royalsocietypublishing.org/content/roypta/369/1951/3575.full.pdfI just ran across this so I apologize in the delay in bringing it to your attention to further the discussion here on "quanta"