We've every reason to ask. Neutrinos ("little neutral one" in Italian) are notoriously the most elusive, and apparently the most numerous, particles in the known Universe, and they hold a certain fascination all their own. What is it about the neutrino that makes it so special? And why do so many people seem to gravitate towards that 'specialness'. Could it be we're in some kind of relationship?
Neutrinos come in three flavours, just like ice cream. The article behind Elementary Particles adds contextual flakes. Take a lick of time there - the rest is here.

So now that you know about ice cream and its relationship to neutrinos - when is an ice cream not an ice cream? When it's oscillating. Changing (morphing sounds better when you're talking about an unseen, unknown event) from one version of itself into another, without being observed. 

You can't see it, and can only see what's produced when it reacts with something. You have to then measure it in terms of what it's reacting with (do you not?)? Which is why the neutrino was named after the particles it seems to relate to, being electron, muon, and tau. Back to Fermilab for the briefing.

Neutrinos share a feature with the material field in which we're based, the quark-gluon field, in that quarks are doing the same thing (in tandem with their gluons) as the neutrinos are - morphing from one version of themselves into another. So nature being what it is, it stands to reason that if the quark has a gluon to dance with, the neutrino might have the same thing, only because it's so invisibly elusive (unlike the quark, that tends to stay where it is) and zipping along at the speed of light (at least), we'd be hard pressed to see what that thing might be, and have to rely on some kind of equation to find out in advance of seeing it. As seems to happen with most particles these days. Incidentally, it's really useful too to know what sea quarks are. 

We know that the anti-particle of the electron is the positron, but you won't find the positron up there in the Standard Model because it's an outsider, the electron wins every time because the electron belongs here in our familiar world. So he (the electron) annihilates the positron and produces - any manner of potential particle pairings. And anyway, the positron goes backwards in time, which makes for a potential infinity and sure as hell's a mousetrap we don't want any of those. Here you'll find the Feynman diagrams that put this into context - they tell lots of stories about particles relying on other particles to become what they are and do what they do. Then you get to realise that all particle relationships that involve these interactions take place forwards and backwards in time at the same time.

The three generations of matter are rated according to size rather than age. Symmetry Magazine terms it thus:
"Most of the generations differ in mass by a lot. For example, the tau lepton is roughly 3600 times more massive than the electron, and the top quark is nearly 100,000 times heavier than the up quark. That difference manifests itself in stability: The heavier generations decay into the lighter generations, until they reach the lightest, which are (as far as we can tell) stable forever."

​Stable forever? Is anything forever? Electron neutrinos can - and do - become muons and taus and there's any permutation of the aforesaid you'd care to mention in the probability well. (Scroll down to "Flavour oscillations" here). Anyway, while the electron itself is "as far as we can tell, stable forever" and the electron neutrino carries on doing what it likes, can we ask - is this some kind of horrible game we're playing? It seems that electron-positron annihilation can produce almost anything - I've seen two photons, a quark and an antiquark (which then produces a gluon), And anyway, what happens to that gluon? 

If these questions are of interest, and you want to explore the bridge between quantum physics and human experience, you might like to check out the group at  https://www.facebook.com/groups/quantumol 

The article linked to this first picture is worthy of the number of tweets it's earned, albeit a bit point-labouring, if you don't mind my saying so, in a scientific-y sort of way. However it does disclose some important facts that lead to the questions being asked in the first place. For after all, understanding the bits that make us up in the quantum sense can't be rocket science, can it, as we're made of those things of which we speak in terms of "quantum particles"? The facts of the matter have got to be locked into our DNA code somewhere along the way, or we wouldn't be natural, and they wouldn't be facts.

In terms of DNA genetics we all share a path from some same point of origin, in order for reproduction to have happened at all - whoever Eve was talking to, something had to make sense somewhere or Adam wouldn't have fallen for it in the first place. So whatever it is that's locked in that double helix we all visualise comes from some source, somewhere.

In the article linked above, you'll also find reference to microtubules, cellular filaments in the brain that are said to carry the quantum process in whatever form it truly takes. I stumbled across an article a long time ago that spoke of microtubules, in the context that they carry coherent water. Coherent water is like a laser beam compared to a light bulb - incoherent water comes out of the tap, in a jumbled mess of molecules just as light spills randomly out of a bulb. Coherent water has some unusual properties -  this is one of the subjects that's proliferated since I last looked at this stuff all those years ago, and you only have to read down to the first Key Point to get it, really.

I don't think it's a coincidence that microtubules, coherent water and consciousness find themselves linked together here. As a natural consequence of human nature, we look for patterns - we understand Fibonacci sequences enough to know that they're everywhere. The natural cycles of human nature make our historic repetitions fairly inevitable, for as we learn we oscillate, which means spinning through the wave form, just as those quantum particles that oscillate are said to do. Quarks oscillate. Neutrinos oscillate. It seems fair to assume that they talk to each other.
While we learn that the sun is good for us and overkill on suncream is a sop to consumerism, we can deduce that solar particles entering the epidermis have a generally positive effect, and since oscillation is a feature of energy production, our relationship to the Sun might well start to make more sense.

Anything that is powerful enough to overpower something else will corrupt that "something" until it's destroyed from the form it was before - annihilated, decayed, or removed from the scenery. We can't baulk the rules of physics, we have to accept that they are there. No amount of complaining will do anything to change the way things are supposed to be, any more than we can influence the orbit of Jupiter. So while we watch the world beat itself into oblivion again, we have to keep our heads, and that means knowing what our heads are really doing in tandem with all the other bits of ourselves doing the things that really matter. We make our own stories, we make them full circle, and the circle of life has some music to it still, I'd dare to think.

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"Knowing the path is not the same as walking it," said Morpheus to Neo.
Peter Higgs didn't know he was going to discover a particle. ​Now that he has, Higg's Wiki entry describes the history thus:
Higgs proposed that broken symmetry could explain the origin of mass of elementary particles and of the W and Z bosons in particular. This so-called Higgs mechanism, proposed by several physicists besides Higgs at about the same time, predicts the existence of a new particle, the Higgs boson, detection of which became one of the great goals of physics.[8  

The 'Higgs mechanism' turns out to be the breakage of symmetry in the electroweak field. You'll know from my writings that I'm no fan of symmetry, and agree strongly with Frank Close in this regard (Lucifer's Legacy - a great read). SUSY seemed to me to have too many scientists up her skirts and not enough brains to see what was really going on.
This mechanism exists as a field, where asymmetry rules ok, enabling mass to have a place in a scheme where the maths says mass shouldn't be. Again from Wiki (love or hate this really useful reference point): 
​A key feature of the necessary field is that it would take less energy for the field to have a non-zero value than a zero value, unlike all other known fields, therefore, the Higgs field has a non-zero value (or vacuum expectation) everywhere.

Over at Quantumology's Facebook group, live discussions are going into the mix so that we can look at these anomalies more deeply. Physicists are there, along with those who've never been a physicist, and some who never wanted to. Everyone is on the same quest - to dig into these questions deeply enough to find some serious answers surfacing from the digging. Come and check out the excavations!
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Here I must confess that I've only just looked into this one. Recently it seemed to pop up all over the place with that demanding gesture that science seems often to flourish, proclaiming there's something in there worth knowing. So having stumbled across the Scholarpedia entry, which makes for a lot of reading but seems to be worthwhile (all quotes bar the first one are from there), the basics of Bell's Theorem come to an unusual kind of light. 

A lot of things, it seems. There are variables, hidden variables and invariables in quantum mechanics, tricky even for Einstein to pin down. John Bell was intrigued - possibly even annoyed by - hidden variables, and probed deBroglie/Bohm's pilot wave theory for answers. From Wikipedia : "The many-particle case shows mathematically that the energy dissipation in inelastic scattering could be distributed to the surrounding field structure by a yet-unknown mechanism of the theory of hidden variables." And Wiki goes on to say, "For a hidden-variable theory, if Bell's conditions are correct, the results that agree with quantum mechanical theory appear to indicate superluminal(faster-than-light) effects, in contradiction to relativistic physics."!

The problem Bell turned into a theory was published late in the day for particle physics, in 1964; you'll see in the story why it is that science gets itself tangled up in the maths, why scientists find it so hard to step away from conventionally accepted principles, and why nonlocality has proved to be such a pain in the ass. Einstein, Podolsky and Rosen conspired to quash nonlocal phenomena in the 1930s giving rise to what's now known as the EPR Paradox. Rants raged.

Bell's Theorem means that everything gets to be non-local. No exceptions. Except for the exception in real life, when we get to experience direct contact with those furnishings and beings in our immediate spacetime. Even then, though, we still may be left with room for doubt - doubt which Einstein famously disliked. For something to exist and be nonlocal, it has to be a beable, which I read to rhyme with 'beagle' for a while, and to be a beable means it is able to be present in a version of observable reality. Being Beable is also dependent, with some deference to the Uncertainty Principle, on asymmetry - inequalities, in other words - which leans heavily towards the argument for uniqueness being underpinned by the U.P..

Nevertheless the Theorem can't go so far as to account for a Multiverse, where any version of anything that's possible can theoretically exist at the same point in Bulk spacetime, so Multiverses are mentioned only in post-published despatches. Bell seems to have concentrated on the observer-subject paradox and the problem of disentangling apparatus from particles subjected to experiment. That this problem exists at all is hugely elucidating, for how therefore do we disentangle ourselves from the everyday situations and relationships we face? Can we? Or can we not?

The Scholarship study from which most information has been taken for this post comments on the Multiverse as follows: 
A formulation of a version of the many-worlds interpretation which includes, in addition to the wave function, some local beables, was presented in a recent paper, but it was found by the authors to be non-local. The question of whether a many-worlds (or relational) approach can be taken advantage of to create a local (and empirically viable) theory thus remains open — as does the question of how seriously one should take a theory of this type, should it be successfully constructed. ​For prediction regarding the likely outcome of such a theory being proposed, see below*.

Bell's Theorem itself sets up a paradox, for in defending nonlocality it also insists on locality being a fundamental necessity and true to our observation of reality, it is. To cover this, there exists a "no-conspiracy assumption", described thus: "The "no conspiracy" assumption... is strictly speaking just that — an additional assumption (beyond locality) on which the derivation of Bell-type inequalities rests."

So then we have inequalities setting up our version of spacetime: "...the crucial assumption from which one can derive various empirically-testable Bell-type inequalities is locality. (Bell sometimes also used the term local causality instead of locality). Bell explained the "principle of local causality" as follows:
The direct causes (and effects) of events are near by, and even the indirect causes (and effects) are no further away than permitted by the velocity of light, In relativistic terms, locality is the requirement that goings-on in one region of spacetime should not affect — should not influence — happenings in space-like separated regions."

But they do, influence that is, and we see evidence of this all the time in our relationships with people, situations, opportunities and random events. We experience synchronicity because of this influence, and know instinctively that a Thing in one region of spacetime can have a direct - nonlocal - effect on anOther. For these, and other reasons, we cannot definitively dismiss an integration of quantum mechanics into classical physics as being a sound, affordable probability.

Bell has contributed, as much as anyone in the quantum field, to the belief that reality is a flexible commodity. That he avoids Everett in his interpretations is perhaps unsurprising but that leap of faith is waiting to be made by someone else, unafraid to face the *Ninja gauntlet of fierce opposition* that would undoubtedly ensue. Meanwhile, what his Theorem can do for us is to shore up the certainty that we do have an effect, no matter what we do, on the world at large, and since we have no idea what may come from those effects, we might as well trust that all is ​as it's meant to be, and get on with the Purpose, whatever that is.

Everybody's talking about dimensions, as if they always existed. Which they did, of course, as real places that exist - always did exist - to be in. Probably all at the same time, truth be told. But our take on dimensions has been somewhat self-limiting so far. Can't be that we're stuck in one place in the Multiverse, after all, otherwise we wouldn't experience remarkable shifts on our world-line and the unexpected hand of Fate would hardly get a look-in. The possibility that every single thing can be unique wouldn't be allowed, and the moments we live through would be... well, more predictable. But they're not, and they can't be repeated, and Infinity won't go away.

Standing in a field looking out at the landscape it struck me today that this height-breadth-depth thing was just an illusion, like so many other facets of life, and that 3D could as easily be curled up into a dimension as those 'other' dimensions are curled up in Kaluza-Klein, and the string theory that science people can't agree on says that everything is energy, after all, wherever you sit in 'de Sitter' space. We don't need to think too deeply about it for it to be true. When you get to accept a principle, it tends to stand awhile as being accepted. 

Say we are bunched up into a single dimension with 3D as a construct that enables us to function as living entities... that the Brane is a single dimension in an infinite Bulk of dimensions and exist within it at the speed of light. Our brains and motor networks function at the speed of light - does this not make sense? Yes, the constant could be relative - you've no idea how fast you're going if whatever's next to you is travelling at the same speed. Sure, we know how fast the planet spins and how fast it's supposed to circumvent the Sun but in relative terms this gets us nowhere in determining the speed of the energy we're made of. While we're wrapped in 3D thought there's also the matter of time, the annoying fact that it pulls us along in one direction only, and while we're checking how fast we're moving through it we've no idea where we are. While when we step into Mindfulness, meditate or sleep, we've no idea how many moments pass because we're focused on What Is, not on Time.

So naturally the Uncertainty Principle underpinning all of the above pulls everything up short, demands independence in its right to make everything a single, unique model and refuses to confine itself to electron experiments. Meanwhile you live your life, look at it from inside-out (as you can't see yourself as others see you, no matter how much you'd love to be Observer all the time), and take the cards as they are dealt with little or no choice as to what they will be, because quantum uncertainty leaves little to chance and everything to random decks, with space in between for Creation, as we've seen.

The last piece of the puzzle should have physicists reaching for notebooks, but never mind, eh, that once you add Gravity to the Standard Model it reverts the maths to Infinity. And that you have to Renormalise things to make them fit the classic boxes, as a matter of convenience, while Creation and Infinity and whatever you want to call God aren't interested in our convenience, they are going to exist by their own parametric rules.

Think about it. Time has you moving in one direction. 3D has you trapped in an illusion of being in a single place at a single point in time. You know it's not true. We don't feel moments, they're gone in a nanosecond and even the memory distorts according to the information available. Please, step outside the box. Unravel our relationship with dimensions. Give everyone a chance to sing, because it's a human right, and it only takes a handful of physicists to make a quantum leap in accepted understanding. 

​We need you. We need you now. Time waits for no man, and right now, we need to know how best to use what there is left of what we have.

The Speed of Light - it's everywhere. Constantly in-your-face, it's the speed limit nothing can break, it's a measurement of spacetime, and it's something that photons themselves don't experience at all. Check out this article from 2014 in Phys.org - to quote author Fraser Cain:
 According to relativity, mass can never move through the Universe at light speed. Mass will increase to infinity, and the amount of energy required to move it any faster will also be infinite. But for light itself, which is already moving at light speed… You guessed it, the photons reach zero distance and zero time.
Note the words "according to relativity". Relativity doesn't help anyone get rid of those pesky infinities that keep turning up in quantum calculations. Relativity says that wherever or whatever you are, you're relative to something. And in the quantum world, the most significant relationship relating to reality is that of the observer with the subject. 

​Time has a special relationship with light. For brief elucidation on that relationship, see this article on space-time. And for more fun with Infinity, see here. If you type "infinity in quantum equations" into your search engine, you'll find lots of scientists claiming lots of different things, including the option that infinity doesn't exist.

One day, there's going to be a revelation. A big announcement to tell us that the Solar System has been expanding, along with the rest of the Universe, all these billions of years and that Mars was here before us. There was life on Mars, they'll say with all the conviction of the deeply shocked, when Mars was here in the Goldilocks Zone, which of course it isn't now, and never can be again, its time here in Fairytale Land past and gone, dust to red dust.

We're going to learn that Venus is next in the procession of precessions and will arrive in the Goldilocks Zone we now inhabit in roughly six billion year's time, with luck before the Sun loses its capacity to sustain life and in good time to make the most of all that methane churning around. Venus is literally a fire of storms, a methane melting pot of global proportions - that's why it flashes different colours in the night sky.

Of course, such an announcement would put deep dents in certain belief systems and rock boats in powerful waters, so no need to hold our breath - it might never happen, not in our lifetime. For planets to pass through Goldilocks Zones and enjoy a few millennia of life-bearing idyll would mean most (if not all) solar systems spawn life at some point, so there'd be nothing unique about us at all, except perhaps our quaint take on the laws of physics - adhesion to the Standard Model plus Planck constraints and light-speed busily limiting potential for advances of mind.

A vacation in the Goldilocks Zone may be relatively short-lived, and if we don't use our time well, well, we've wasted it.

This place where dreams are made of, 93,000,000 miles from the Sun, is a bit of an enigma. You won't find NASA being pinned down to a distance definition. On Quora, the fuller answers are a bit baffling but there's a general consensus that it stretches between Venus and Mars. Wikipedia is a bit more helpful. Whatever the case, we don't need to worry about it. Porridge will still be porridge. The question of when the porridge arrives given the options of a 5D continuum is much more relevant than whether it's real or not. Knowing how to live life in the Multiverse must surely be a valuable tool to have, and let's face it, we're all trying to free ourselves of something.

Coincidentally, the Moon is exactly the right size to afford a total eclipse. Exactly the right size. Given a 92,466,000 mile gap between Moon and Sun, that's a pretty neat trick of relativity. All the possible options in the Universe - we get landed with that one. Hail Griffin, he showed us all the way, and did we listen?
Are we not listening still?
Perhaps we never will.

There will be scientists visiting (thank you for coming ^) putting all this down as Woo, incurable sockpuppetry, charlatanism and all kinds of other isms in fear and trepidation of answering difficult questions. Maths doesn't cut it all the time, it's great in a Pi but put maths into quantum porridge and it's going to be lumpy, as you've all proven beyond doubt to everyone including yourselves. Some scientists might feel a bit sick at having some non-scientist sticking their nose into dimensions that don't concern them, but that's only because they're afraid of having to visibly think hard, dump the sums and not know the answer immediately. No self-respecting scientist betrays the mathematical grail in front of others.

Our place in the Multiverse is of humongous importance, and proportionally the greatest riddle we may ever have to solve. How we improve relations with our planetary cohabitants and what comes of understanding how to handle our reality better is anybody's guess, but for sure, only physics can lead the way. Even if it is only our physics, unlike anyone else's - out there where we don't dare go yet there may be all kinds of other physics waiting to get heads around. However many heads you might have. Handy to have three if you want to save time tasting things. 

UPDATE 2020
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Scientists say the Uncertainty Principle is simply a case of not being able to take two measurements at the same time. Brian Cox called anyone who thought differently a "purveyor of tripe" and many other orthodox positivists would say the same.

If you really think the fact that we are all unique, every grain of sand and snowflake is unique but it can't have anything to do with Uncertainty, I'd venture to say you were wrong, and Heisenberg might even agree. 

Image credit: https://www.quantamagazine.org/the-multiverses-measure-problem-20141103/

​Electrons are fuzzy things, not pinpointable because they don't really live like that - they zing their way round and through several dimensions at once and somehow land up here long enough to fend off the pesky Positrons. So not being able to pin down an electron, which is where this whole uncertainty-principle thing first started, is one thing. Not being able to pin down anything at all is more like it.
​

There's talk about ever-decreasing circles when things get worse on repetition; they made a TV show about it in the Eighties. Does that mean our discourse follows ever-increasing circles when things get better? I've had a few scenarios shadow me through life that I'm clearly supposed to learn from, and right now I'm studying geometry in the context of application to such things as sunflowers.
The Fibonacci sequence, being what you'd call 'irrational', is there in nature at every turn, from shells to pine cones, with the ratio between the numbers of the sequence being known as the Golden Ratio, being represented by the Greek letter Phi, and being everywhere we look. 

On the trail of evidence for natural geometry, it came to my attention on looking for examples of irrational numbers that (coincidentally or otherwise) Schroedinger's Wave Equation is also represented by the Greek letter Phi; in Comments to the link attached, you'll find Jonathan noting that It is commonly believed that waves make up the sub-atomic particles which may be the reason why Schroedinger (or someone) chose it to apply to quantum field theory. However, as evidenced by the Wiki entry here on what's called the 'Schroedinger functional', anything that doesn't readily lend itself to renormalisation is still finding it hard to be fashionable.

Schroedinger devoted himself largely to causality and chance (or lack of it) in natural law, and a comprehensive precis of his thought process can be read here. His dwelling on such matters led him to create a wave equation which smoothly evolves through time, just as the Fibonacci sequence smoothly evolves the growth and development of natural things like thistles, roses, and spiral galaxies. The unpopularity of Schroedinger's wave equation in preference to something that can be algebraically calculated in avoidance of those pesky infinities (noting that in Wiki's Fock space definition the author doesn't even mention Schroedinger) says a lot about the mind set still prevalent in quantum mechanical fields, and not a lot about the logic of applying schemes universally adopted by Nature to the quantum paradoxes pondered upon by Man. Men, then. Usually, anyway.

What does this mean for us? That depends on your intuitive relationship with coincidence, or any leaning you have towards synchronicity being circumstantial evidence for powers greater than our own. Fibonacci, Schroedinger and other minds of historical note have been pondering and surmising on the underlying laws of nature for a long time now, and with quantum mechanics at the front of our potentials for New Physics, there's no time like the present for linking the facts as they stand with the fortunes inherent in our own world-line. Time is in reality a far cry from the lineage of onward-marching arrows we mistook for something other than entropy - the wave form we ride may well perpetuate in resonance to the Fibonacci sequence and be dancing merrily to Schroedinger's tune. Would this make sense of life's events coming back to haunt us from time to time? Could it be that what we are given (to experience) and what we learn as a result are in keeping with a pattern at the baseline of creation? For it seems to me that every time we dovetail a piece of life's puzzle with a quantum mechanical principle, we come up with freedoms of infinite probability and an allowance in the small print to accept things as they are, no need to struggle against What Is. Life is hard enough without taking the full weight of its variables on our own shoulders. Some things, they say, are meant to be. Why stop at Some, when the irrationality of All is so evidently preferred by Nature?

Bias being a tendency to shift current in a certain direction electronically, or for fabric to lie in a certain way haberdasherally, in terms of human relations it's described by the online dictionary as, "inclination or prejudice for or against one person or group, especially in a way considered to be unfair." An overview of bias and how it becomes embedded lies behind the picture looking suspiciously like a Fibonnaci spiral.
When it comes to science, and quantum physics in particular, we have a situation wherein one group of people (those who write and understand equations, let's call them the EQ) are biased against another group of people (those who neither write nor understand equations, the Non-EQ) resulting in a seemingly unfair tendency for the EQ to dismiss the thought processes and ideas of the Non-EQ based on inability to do maths. As someone who only knows their native language might find themselves dismissed by someone who doesn't speak it. Bias can produce dark dangers of its own.

The EQ argument goes that an argument must be logical, empirical, and mathematically sound before it can even be a point worth making. Logic is mathematical, logic circuitry methodical, as in semiconductors. Now that quantum computers have flown into orbit, classical logic gates now have quantum counterparts, only a quantum logic gate is not restricted to 1 or 0, but has free rein in superposition, and a quantum computer can even produce entangled states. Reading a popular entry on their measurement, the author says that, "This type of value-assignment in theory occurs instantaneously over any distance and this has as of 2018 been experimentally verified for distances of up to 1200 kilometers.[8][9] That the phenomena appears to violate the speed of light is called the EPR paradox and it is an open question in physics how to resolve this. Originally it was solved by giving up the assumption of local realism, but other interpretations have also emerged." 

Other interpretations? Follow the link and you will find it most elucidating, citing as it does seven challenges to scientific interpretation of quantum mechanics, boiling down to the fact that you can't really measure the immeasurable. Oxford Physics lab is making a fair feast of efforts in researching new technologies, though, as linked behind their picture. But we still find that, fundamentally, mathematics doesn't cut it when it comes to quanta, for the world as seen from a quantum perspective doesn't conform to classical physics, and never has, which is why it's always been a problem that can never go away.

Seasons don't go away either. As we get older, we see more patterns in the changing year, we know when a season comes early or late, we sense the shift from summer to autumn, winter to spring. We observe environmental alterations, such as loss of wildlife and climactic warming. We don't need to apply these things to mathematical formulas to know and accept that they are there. So why is the bedrock of our existence so apparently dependent on calculus for its definition?

"There's nothing logical about magic," someone recently said to me. Yet the odds against our lives existing at all are somewhat other-worldly, and not just in the probability of being resident in a Goldilocks Zone. The chance of a universe setting up its construct to support life as we know it in the first place is apparently unfathomably unlikely. Logically we could argue that it's illogical that we are here. But the earthbound mind that cannot bring down an ethereal argument into an empirical formula collapses its packet into What Is, to question it not, or at least no further than necessary in order to make the maths work. Infinity will always be a problem underpinning quantum processes, which is why an EQ has to resort to renormalisation as frowned at by Feynman, who called it "dippy", even though his diagrams are all over it, and if you want to know about renormalisation this insight from Physics Forums as probably as good as it gets.

With issues like infinity, non-local entanglement (which laughs at the 'constant' of light speed), uncertainty (preventing true measurements of anything on the move), and superposition (the two [or more, depending on how finite things are] states that anything is in at any given time) struggling with duality (you're made of particles right now, but aren't you a wave form when you're not looking?)... well, the constraints on which maths so fervently relies don't look very solid from where I'm standing. I don't have the answers, I just think about this stuff, a lot... as you can tell, it's been a few years now and the bias against free thought is still rigorously maintained, its only defence seemingly being as someone commented at me, "there's no language other than math," not that such an argument sounds very logical, but then, am I missing something?