Philosophy Discussion Forums | A Humans-Only Club for Open-Minded Discussion & Debate

[Cathal]

This was quite the rollercoaster—from Fermat’s Last Theorem to mirror recursion to philosophical Egypt! I liked your visual take on trying to model the equation geometrically—it’s a creative mental stretch to imagine cubes and cuboids in that context. Definitely shows how even the most abstract theorems can spark some wild imaginative connections. Math may be rigid, but how we think about it doesn’t have to be!

Thank you for your enthusiasm. I’m sure Wiles had a perfect understanding of Fermat’s Last Theorem but the implications of such a discovery might get lost in translation simply because few could ever read a maths thesis such that I’m left pulling at straws and playing the lotto to make sense of it! It’s because we’re not fluent in maths as we are speaking English such that we don’t know how easy a solution could theoretically have been to a future generation if everyone could think geometrically and not just numerically!

“For a binomial like (a + b), the squared bracket formula is (a + b)² = a² + 2ab + b².”

So a+b is also an integer such that we could rephrase the a+b as c:
a² + b² = (a + b)² - 2ab
a² + b² = c² - 2ab
So the result is a square minus a rectangle if a ≠ b.

“The formula for cubing a binomial expression (a + b) is (a + b)³ = a³ + 3a²b + 3ab² + b³.”
Rephrasing for Fermat’s Last Theorem:
a³ + 3a²b + 3ab² + b³ = c³
a³ + b³ = c³ - (3a²b + 3ab²)
That way the result is a cube minus area such that metaphorically it has the same volume as a cube but is missing a bit of surface area much like a missing glass pane in a glass building!

[Cathal]

Perhaps there can be a circularity with the normal force that resists you sinking into the ground as if quantum gravity can go either way; to embrace friction and the normal force and rejecting the gravitational constant or vice versa to reject the normal force such that only a trace amount of gravity from various Euler forces and wind pressure are needed to keep you grounded. In other words a normal force can be dissipated on a skyscraper from the top floors to the foundation such that the normal force might not have an exact origin. Whether the world is immaterial or material might prove irrelevant if it’s beyond our control in external reality whether or not we choose to partake in discussion(!):

[\yid]
Shutter Island: The truth (lighthouse duel)

[Cathal]

In tennis there’s so much discussion about the kinetic chain in how we acquire energy from our backbone and pelvis to hit a serve. The same might be true for our ear drum or our eye’s ciliary lens muscle as if they’d the most leverage like a game of jenga to move whimsically.

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Reeds water reflection as if we ourselves consciously embodied the water stream without knowing the current direction in our eyes inverted image on the retina when we look at the real reeds.

[Cathal]

We often know just how extreme a low centre of gravity can be in soccer for maximal agility but we might underestimate the effects of an altered centre of gravity could be in music. For example certain leg weightlifters might actually feel lighter in their stride in a way that’s inverted in the kinetic chain. As such sussing out someone’s centre of gravity can be very holistic and unconscious. Hence some rap songs can feel heavier with more mass and force while some lighthearted pop songs like the one below can almost make you feel weightless like an astronaut. Whether or not the song below is about quantum gravity or whether the adrenaline simply makes me more confident about my own study of quantum gravity might be a slight circularity!

Sugababes - Push The Button

[Cathal]

I remember as a young teenager how my two sisters were often frustrated with me taking so many photos on holidays! As such the hard problem of consciousness when it comes to photography might be helped by a CCTV surveillance state as if everything that wasn’t photographed secretly emphasised the final photo collection by forcing you to prioritise. So not only can you crop and omit parts of a photo or change the camera angles but there are millions of other photograph backgrounds in nearby locations that were never captured at all. This can lead to a spiral effect where the more photos taken the more dejected and relegated all other non-photoed locations can become in a way that mimics combined probability. I’m often tempted to take too many photos of the night sky where this one of a blood moon in Ennis before a 5km charity walk at 4am mimics the orange moon in Belek in the last page. So a red lunar eclipse could be caused by a gravitational red-shift of light around Earth rather than just by it’s refraction through Earth’s atmosphere:

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Meanwhile the way the Sun is yellow rather than white like other stars might also mimic a permanent red-shift of Sunlight were the Sun’s core white much like the reflected Sunlight off a white moon:

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[Cathal]

An easy way to think of gravity might be like stepping off a merry-go-round to stable ground as if the twist in your legs from the angular momentum makes you too tired to jump higher. A more high-octane example was in a CSI program perhaps years ago about jumping from one subway roof to another oncoming subway roof as if the recoil after landing would make you too tired to jump vertically high up afterwards!

[Cathal]

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Arachnid Robot on asteroid (Love Death and Robots: Spider Rose)

How do we know whether an object isn’t hollow with no internal colour? How would a shared reality exist if everyone were 2D? Perhaps a dangerous side-effect of lucid dreaming is to underestimate the neurological ramifications of what would happen if the world wasn’t real. The Earth itself would appear hollow with no mantle or core as if everyone perceives a different rate of gravity in how not only does horizontal speed vary with binocular parallax but vertical speed too with closer objects appearing to fall faster! It’d be as if everyone on Earth’s crust were really just living in a giant space station!

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Death Star: Star Wars

[Cathal]

Much like the threat of artificial intelligence in warfare I once parodied a standard of evil in Fermat’s Last Theorem to be relevant to the standard of a cubed root function much like a status symbol Ferrari that’s not immediately functional for military physicists! So perhaps to parody my own irrelevance I could surmise that my Euler gravity theory might only be relevant as a humble reminder that using only two decimal places to describe gravity could be a version of false humility for a small student relative to the size of Earth! So much like the speed of light being given to 8 exponents then were the speed of gravity the same as the same as the speed of light as Einstein said then perhaps it’d be worth denoting the rate of gravity with 8 decimal points! In other words we might not even need to invoke general relativity for quantum gravity without first trying to simply fine-tune the rate of gravity rather than just the source of gravity. So even though there appears to be only a small difference in gravity between the equator and the North or South Poles due to a bulge in Earth’s oval size at the equator we forget that not only with mass but when it comes to kinetic energy that fine-tuning the rate of gravity to lots of decimal places becomes more relevant for high speed projectiles given KE=1/2 mv2. By extension planks constant might function as a deterrent to probability where gravity remains deterministic to multiple decimal places were students willing to resolve thoroughly the motion of objects much like calculus trying to freeze time!

Explosion Scene | Vertical Limit

“The precise strength of Earth's gravity varies with location. The agreed-upon value for standard gravity is 9.80665 m/s2 (32.1740 ft/s2) by definition.[4] This quantity is denoted variously as gn, ge (though this sometimes means the normal gravity at the equator, 9.7803267715 m/s2 (32.087686258 ft/s2)),[5] g0, or simply g (which is also used for the variable local value).”

[Cathal]

‘"Propaganda bombs" refers to leaflet bombs, a type of explosive device used to disperse leaflets, often in enemy territory, as a form of psychological warfare.’

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WW1 plane leaflet drop: perhaps catapulting postal parcels might be my corporate success story in quantum gravity!

Perhaps a version of redemption could be found in inverting Newton and Einstein as if Newton is accidentally a quantum version of Einstein simply in how the inaccuracies of Newtonian gravity as 9.81m/s can function probabilistically much like rounding it to 10m/s as a statistical rather than intrinsic error in how a laser beam or optical fibre can drop slightly under gravity over long distances across the horizon at a consistent rate! Perhaps a Christian reward for quantum gravity is that in impersonating a Nobel laureate anyone who forgives by extension forgives my Euler gravity theory by underestimating how self-sufficient the theory might be!

Rush Hour: Soo Yung Gets Kidnapped

[Cathal]

So even if we can use Einstein’s theory of general relativity to send signals to satellites very accurately we forget that it might still be possible just to rely on Newton’s equations for gravity if you tolerate intermittent wasted signals and message repetition in exchange for occasional dead-on signals that might be sent faster and more efficient than general relativity owing to less calculation requirements!

[Cathal]

For example radio waves have a longer wavelength than visible light as if you’d then have more leeway to encode visible light into radio wave format through morse code to send information long distances faster with only a radio receiver to probabilistically tune into the frequency and partially recreate a visual environment. In other words a black-and-white TV might only need Newtonian mechanics for signals rather than general relativity. Hence Newtonian mechanics might resemble an unscoped rifle in aiming signals at a satellite compared to a scoped rifle of general relativity. That way you could use Newton to aim ahead of the satellite instead as a gamble to be even more accurate than general relativity in rare circumstances owing to the quantum uncertainty principle where the more you know about speed the less you know about location.

james bond vs space laser (Die Another Day)

[Cathal]

The way in which an atom is mostly empty space mimics a gas in such a way that the multitude of bars on the interference pattern from the double slit experiment when the camera isn’t looking might resemble a horizontal projection of a longitudinal sound wave.

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Transverse rope wave vs longitudinal slinky wave

“Using an oddly shaped plastic device, scientists have created an acoustic rainbow, separating white noise according to its various frequencies, or pitches. Just as a typical rainbow separates colors into different spatial locations, different pitches are directed to distinct positions around the device, the researchers report June 11 in Science Advances.”
https://www. sciencenews. org/article/sound-rainbow-device-acoustics

Perhaps sonoluminescence can be two-way from light to sound.
“Sonoluminescence is a phenomenon where small gas bubbles in a liquid emit flashes of light when subjected to intense sound waves.”

[Cathal]

If a sound wave were given a one second head-start then light would catch up in a nanosecond as if our inner voice can have a slight head-start over our vision and visual thoughts during the day.

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Speed of sound/speed of light

Light moves almost 900,000 times faster than sound in such a way that describing a colour verbally might never fully capture the essence of light without thinking the light takes the priority as if we’d all be deaf in outer space while admiring the light from the stars and planets. It’d be as if sound were a colourless spatial description of light where you could vaguely visualise the perimeter of an object emitting sound like a hand-drum. It’d be as if sound itself were a shockwave of light.

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Speed of light/speed of sound

A sound wave would need a 10-day head start for it to take one second for a photon to catch up to it as if our dreams can be sourced 5 days behind us or 5 days ahead of us for mental time travel.

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(Speed of light/speed of sound) per second per minute per hour per day