The effects of Gravity is not a theory the cause of gravity is sill up for debate. Your trying to equate cause with effect in this case and in the case you Quantum Theory your saying that we have observed something that it is impossible for us to observe at least with current technology. But then people often have a hard time understanding the difference between what we have proven thru observational studies and what we extrapolate from those observations.
Many people have a hard time understanding the difference between the definition of the word "
Theory" on the one hand, and "
Hypothesis", "
Conjecture", or "
Speculation" on the other, and conflate the two:
American Heritage Dictionary:
Theory: A set of statements or principles devised to explain a group of facts or phenomena, especially one that has been repeatedly tested or is widely accepted and can be used to make predictions about natural phenomena.
The "Theory" is the complete body of material (i.e. observations, formulas, underlying presuppositions and propositions, etc) associated with a given line of explanatory thought concerning a phenomenon. As Hypotheses are verified through experiment (or at least fail to be falsified), they form a growing body of evidence that the material and reasoning associated with the nascent Theory is sound and forms a basis for a correct understanding of the phenomenon in question. The Theory (or elements of it) always remain open to more rigorous experimental verification, or modification, when further evidence shows that the Theoretical Model may only be correct under certain circumstances, or may be correct as far as it goes, but may need further refinement in light of new evidence.
We speak about the "
Germ Theory of Disease" not because it is speculative, but because the term encompasses the complete body of knowledge and observation of everything that we know to date about germs and their relationship to the spread of disease (for those diseases that spread via this mechanism), and it has been confirmed to be correct thru experimentation and observation.
Newtonian Theory is still valid and used by everybody, even though today a more complete understanding of motion and gravity via the
Special & General Theories of Relativity have confirmed via experiment that
Newton's Laws of Motion & Gravity (a part of
Newtonian Theory) are only excellent approximations of the phenomena within the range of values that we commonly encounter on the day-to-day scale, and thus
Newtonian Theory required some modifications in light of the new evidence.
Quantum Theory is no different. It is not a speculation or conjecture, or a simple set of consequences implied by mathematical equations. It is an explanatory mathematically-based model that was developed to explain an
observed set of phenomena that could not be explained by conventional scientific explanations within existing theories. That model was then used to make
testable predictions such that if the model were true, then we should observe "X" if we do "Y", which should not otherwise happen. This is the process of experimentation and falsification. The goal of a
controlled scientific experiment is to try to
falsify the hypothesis and disprove it. This is also why all scientific theory is also always open to inquiry: it is never possible to "prove" something absolutely true, but only to state (with increasing levels of certainty with ever better and more rigorous testing) that something has
failed to be disproven.
- Quantization (1900): Max Planck introduced the concept of quantization in 1900 to explain blackbody radiation, proposing that energy is emitted in discrete packets called quanta.
Quantization was a hypothesis that arose to explain the anomaly that in the Classical understanding of Electromagnetic Radiation as an electromagnetic wave (Maxwell's Equations) a blackbody would tend to emit the majority of its radiation in the ultraviolet and beyond, tending to infinity, known as the "
Ultraviolet Catastrophe", which obviously was not happening (and in fact spectra could be observed to have particular peak frequencies, which should not be occurring).
- Wave-Particle Duality (1905): Albert Einstein proposed the idea of wave-particle duality in 1905 when he explained the photoelectric effect, showing that light can behave as both a particle and a wave.
By setting up an experiment that
demonstrated the
observable effect of quantization (i.e. the photo-electric effect, in which electromagnetic radiation was observed to be emitted in discrete packets carrying discrete energies that increased with associated intrinsic "wavelength"), Planck's hypothesis was validated, and light (and later all particles (cf
de Broglie) were able to be shown under observable laboratory conditions to have both wave-like properties and particle-like properties, but not both at the same time.
Reference: the double-slit experiment where either light or electrons (for example) are sent thru a double-slit and strike a detector plate on the other side. They strike the plate as a series of individual "points" (like particles), but when enough of them have passed through to fill the plate full of strikes, the "pattern" of strikes replicates a wave interference pattern, where the most intense parts are where the most strikes occurred and the least intense are where the fewest (or none) occurred. The most intense part is dead-center on the other side of the slits between the slits, with a somewhat less-intense band to either side, and then a yet less intense band to the farther side of those, etc, of continually decreasing-intense bands as you move away from the center position of the plate. The problem is that this is
literally impossible for a particle trajectory to pull-off. A particle must go thru either one slit or the other, so you should see two peaks - one centered on the left slit, and one on the right slit. It should be least intense (in fact zero intensity) dead-center behind the slits, but this is where it is
most intense, just like a wave approaching both slits and going through both and emerging through both on the other side and creating an interference pattern with itself. But they strike the plate like individual particles.
So if you reconfigure the experiment with a detector at each slit to measure photons or electrons passing through the slit, you will get a reading as to which slit they went through, but the wave interference pattern on the plate disappears and they strike the plate in two peaks like you would expect particles to do, as noted above.
@tytalan: That is not all conjecture or math. It is observation in a laboratory. So are they particles or waves? You tell me.
- Probability in Quantum Mechanics (1926 - 1932): The probabilistic nature of quantum mechanics was formalized by Niels Bohr, Werner Heisenberg, and others from the mid-1920s to early 1930s.
The explanation that was finally arrived at (and verified to be correct thru rigorous experimental testing) was that the operator describing the position (or momentum, etc) of the "particle" was probabilistic in nature, and the resulting equation that was derived was giving the probability value of the operator (the "expectation value") for the particle at any given point that the equation was describing (the sum over the whole range of values equaling "1"). This derived probabilistic equation happened to be a wave equation in mathematical form.
Thus, in the double-slit experiment, when the "photon" or "electron" approached the double-slit, there was a certain probability regarding its "position" that it went thru either the one slit or the other (or it impacted the near wall on the near side and did not go thru the slits at all), and on the other side, for those that did go thru the slits, the mathematical waveform describing the probability of the position of the photon or the electron had now had two mathematical probability waveforms (which described the particle's possible position), one associated with each slit, and the two waveforms "interfered with each other" and produced a wavelike probability interference pattern as the particles individually struck that far plate. When people set up detectors to detect which slit the particles were going thru, they interfered with the probabilities (it was now 100% and 0%, or
visa-versa), and the probability interference pattern disappeared.
@tytalan: The math accurately explains the observations for numerous and varied behaviors. So is Quantum Theory just a conjecture? You tell me.