I deeply appreciate your succinct and forthright explanation of the Standard Model in layman's terms. I hope your presentation achieves all your goals for it. I have great reticence in sharing my rude grasp of physics as an unlearned layman, but I seem to understand gravity differently than I have heard expressed by anyone I have read more extensively. From Einstein's description of gravity as the warping of spacetime I note that gravity is not a force anymore than volume is a force. Dropping a stone into a pond results in pressure on the water to move to accept the volume displaced by the stone, and similarly mass affecting spacetime produces warping as a result, and neither volume nor gravity are forces per se, although producing affects involving forces.
Since gravity affects spacetime, which is neither space nor time, I understand it's affects to extend across the full breadth of that medium, and it seems to me that dark matter is proposed to account for the affects of matter at other times that is not apparent presently in the visible space.
This does not accord with the standard model as I understand it, and I am incompetent to even contemplate treating this understanding mathematically. Frankly I can count past twenty if I am without pants, so am curious if my understanding has any basis in such facts as you believe demonstrable, or if it is contradicted.
Thanks!
Here, one important point to keep in mind is that I discuss particle physics. This means that our problem lies in the context of the elementary particles and their interactions. Gravitational effects are here tiny, as they are proportional to the masses involved. Elementary particle masses are indeed so small that anything related to gravity is negligible compared to the effects associated with any of the other three fundamental interactions. This obviously change at super high energies, much higher than anything we can conceive as humans (we are talking about a factor of 1015 more or less).
In addition, we do not know how to include gravity in the Standard Model, and this lies at the heart of many on-going researches today. But for anything that concerns us, this problem is a non problem (as whatever is the way gravity will be incorporated to the Standard Model, it will have a non-measurable effect on any observable).
As a side note, we cannot really discuss "volumes", because this does not involve time. Gravitational effects of massive bodies act on all four dimensions of space time, according to general relativity.
Gravity is a force in the context of mechanics. On the other hand, general relativity tells us that this force is not an ordinary force.
At the end of the day, what matters is the context. For slowly moving and not too heavy objects, Newtonian mechanics is a very good approximation, with its context of forces, acceleration, etc. Otherwise, we need to rely on relativity in which what we interpret as a force is the curvature of spacetime. This seems to agree with what you wrote, if I got it correctly.
I don't understand the above paragraph. Why do you say that there is no dark matter in space today? If we assume that the standard model of cosmology is valid, with dark matter in it, then we can explain varied cosmological observations (galaxy rotation curves, the cosmic microwave background, structure formation, etc., to quote a few of them). Do you therefore mind clarifying your comment? Thanks in advance!
Cheers, and thanks again for passing by!
Posting this on behalf of @valued-customer who contacted via discord
Across spacetime masses warp the medium when and where they occur, but mass warping spacetime is not either constrained in it’s extent of affect in time nor space, because it warps spacetime, not only space, and decreases in affect according to the inverse square law at all distances. The affect is across both space and time because spacetime is what exists, not space and time as separate entities. Thus, although observing the affects of mass on space is all we can do, because we perceive time as an instant and do not observe vectors across time as we observe them in space, mass effects spacetime warping, not merely spatial warping. We see space extensively, but only perceive time as an instant. I can see across a valley, but not a century. However the masses at other instants of time in spacetime do affect the spacetime we observe spatially, and instantly, and this is unaccounted for in the reckoning of the affects of the masses we observe spatially, because we do not observe the mass at other times.
We perceive reality as a point in time, but a field of space. Were we to observe vectors through time rather than as motion through space, we would see flashes of mass appearing and vanishing at one spatial point across time, a variable brightness rather than a streak across the sky.
Seems to me this failure to reckon the extent of mass in time is the reason the vast majority of mass in the observed space seems to be invisible, because the vast majority of mass warping spacetime is invisible, because it is warping spacetime across the spacetime continuum, and not only in the instant we perceive it. That is accounted as dark matter, IMHO. At least it is not accounted for otherwise AFAIK, leaving the vast majority of gravitational warping unnaccounted for.
Spacetime is infinite, and the warping of spacetime extends across that field, both at instants forward in time from us, and instants backwards in time from us. The warping of spacetime observed is actually due to the gravity from all mass that has ever, or will ever, exist everywhere, and not merely the mass that is instantly observable at present.
There is much more to what we look at than we see.
@valued-customer: I am still not sure to really get your point here. I will however try to answer anyway. I hope not to be too off-topic.
Initially, dark matter was postulated to explain why the observed circular motion of stars in galaxies as a function of their distance from the galactic centres was faster than what was obtained with Newtonian mechanics only. In other words, there was some invisible mass leading to the observed effect. This observation requires measurement of times and distances, and this was done without any problem at all.
Similarly, we can assume the standard model of cosmology (with dark matter and dark energy) and fit all data we have. It works out of the box, in particular when focusing on the cosmic microwave background. Furthermore, we can simulate structure formation in our universe. Again, the observed pattern can nicely be explained in standard cosmology (with dark matter).
Now (what follows seems closer to what you pointed out), we can also discuss gravitational lensing that is a general relativity effect due to the distortion of spacetime. What we observe agrees both with general relativity and the assumption of dark matter.
To finish, I would like to comment on this:
There is no proof spacetime is infinite. It may actually not be.
What is true is what we observe today is a picture of some part of the universe as it was in the past (as light takes some time to reach us). I however don't see why we could not account for this in calculations (and in fact we do account for it).
Point taken. However, that does not change what appears to be the fact that spacetime is affected by all mass that has ever or will ever exist everywhere, and which seems to not be accounted for in extant calculations in the standard model. As I understand it only the mass that is observable by us instantly, whether at hand or removed at some distance that imposes a time delay due to light taking time to reach us, is accounted for. All the mass that exerts it's warping effect on spacetime is not reckoned, because only what we observe in the instant of observation is accounted.
What I propose is that mass we do not presently observe and have not accounted as warping spacetime does warp spacetime, and the proposal that there is some form of mass that only exerts gravitational warping, dark matter, is therefore unnecessary. That mass not observed at the instant of observation, whether what we observe is now present or has been present at the time in the past the speed of light reveals to us now, is the mass our reckoning of the warping of spacetime, gravitational lensing, indicates is not observed.
Proposing dark matter (and dark energy) is therefore unnecessary, and that dark matter proposed to account for the observed warping of spacetime is substituting for the mass that effects gravitational lensing we do not observe at the instant of observation but that certainly has and will exist and affect spacetime at the instant of observation.
I am very confuse, when you wrote this:
This is precisely a definition of dark matter, isn't it? I actually don't understand the difference.
PS: dark energy is different as this is the engine that allows the universe to expand in an accelerated way.
Dark matter as I understand it's description is proposed to comprise of WIMPs, weakly interacting massive particles, which have properties specifically that do not otherwise interact with other matter than gravitationally.
That is not ordinary matter at other times. That is additional and vastly different matter than ordinary matter at other times. Dark matter has properties that make it invisible, while ordinary matter at other times is simply not observable because we perceive time as an instant, and have not understood the nature of spacetime with which ordinary matter interacts.
What I discuss is that mass that existed yesterday, and all days before yesterday, is affecting spacetime today, and mass that will exist tomorrow, and all days after tomorrow, in addition to all mass that exists today, is affecting spacetime today. Ordinary matter that we observe today but are not observing at times past nor times to come is what is invisible and not accounted in the calculation of observed spacetime warping, gravitational lensing, we observe at the time of observation.
Mass affects spacetime. There is no place from which the affect of mass does not reach a given region of spacetime (except perhaps within the Schwarzchild Radius of a black hole), and this means there is no era in which mass has existed or will exist in which it does not affect a given era of spacetime, including the specific instant in which we are observing spacetime warping. The inverse square law governs the degree of affect mass has on spacetime, and reduces the amount of warping mass will effect the more distant mass is from the spacetime being warped, but there is no spacetime that is too distant from any given mass to be affected by it. Neither is there an era of spacetime that is unaffected by a given mass because that mass existed too long ago or will exist too far into the future from the instant in which the observation of spacetime warping is undertaken.
If mass observed at the time of observation is reckoned to warp spacetime in a given region of space, such as the surface of the Earth where the amount of warping produces 1G of acceleration, then what is actually happening is that all mass everywhere in the universe at all times in the past, all times in the future, and present, is exerting that spacetime warping we measure as 1G at that point and era in spacetime on the surface of the Earth where and when we take the measurement and calculate the spacetime warping.
Since the inverse square law reduces the affect of mass distant from the surface of the Earth to a negligible amount, generally such calculations consider only the mass of the Earth when calculating the warping of spacetime at some point on the surface of the Earth (in fact, as you pointed out, such local affects as mass has on spacetime are treated as a force using Newtonian mechanics, because that is far more easily calculable and accurate enough). However, these calculations ignore that it is the mass of the Earth yesterday, and all days prior to today, and tomorrow, and all days after tomorrow, in addition to the mass of the Earth today, that produces the given warping of spacetime observed at the time and place of observation and calculated to be 1G of acceleration.
Perhaps, if this description remains opaque, you can ask specific questions about the statements I have made to describe my understanding of what is happening when mass affects spacetime. It is simply that mass does not only affect space, but spacetime, and thus includes all times in which mass exists and not only the space in which mass exists, because mass exists in spacetime and not in space or time, neither of which exist.
Note: edited to improve clarity. I also note that mass may affect spacetime less or more the earlier or later from the time of observation, like mass further away affects a given region less. Also, the inverse square law may not be exactly how the affect of mass is reduced with increasing distance. I am incompetent to treat this understanding mathematically, and can only speculate that the specific rate of reduction of affect with increasing distance in space and time may be quite different than the inverse square law, being unable to make those calculations myself.
Sorry for the delayed answer, once again. Busy week, buy week… and this discussion is interesting. I cannot answer it in one line :)
WIMPs are only one possibility amongst many. Those are dark matter candidates particularly targeted at current experiments. But you have many many other options, ranging from very light particles to much heavier black holes. The only common ground is that they have gravitational effects. The rest belongs to the details of each model.
We can observe it through the byproducts of what this matter did in the past. For instance: cosmic rays. We just get them on Earth after a while. For that reason, when we observe the universe far far away, we in fact observe the universe as it was a while in the past.
From the rest of what you mentioned, there is actually one point on which I disagree. The arrow of time cannot be inverted. We can observe the present and the past (which corresponds to observing far away), but not the future. If I have well understood, it seems that you want to consider what is happening now, in the past and in the future. This is not possible. We can account for the first two in the calculations (including what is happening on the way and during history), but not for the latter. How would an event happening in the future impact us? This is what needs to be clarified, and this may be in contradictions with the known laws of physics.
Cheers!
Thanks again for your help @ausbitbank. Turns out a Brave update was breaking login.