The REAL Reason You Dont Understand Relativity Dialect 2023-04-29 | Think Relativity is confusing? Well, it's not just you -- even the experts can't seem to agree on its meaning, and often get basic facts about the formalism completely wrong. Here, we critique one such renowned professional who, in claiming to be clarifying the standardized theory of relativity, turns out to actually be promoting a misguided personal interpretation. What is this expert's confusion exactly, and why are such misconceptions so prevalent amongst the physics community?Indeed, be cautious of posturers, gaslighters, stigmatizers, and Giordano-Bruno-burners who want to convince you that your inability to understand Relativity stems from your own deficient reasoning -- because when even the experts can't agree, you know there is something up...Please considering helping support us on Patreon, thank you!https://www.patreon.com/dialect_philosophyA link to minutephysics twin paradox video:https://www.youtube.com/watch?v=0iJZ_QGMLD0&t=101s(Note that where minutephysics says that there are "gaps" in the accelerated observer's accounting for time, this is the phenomenon of accelerative time-contraction, i.e. where observers perceive gravitational fields/time speeding up.) Some of Einstein's Relevant Papers:His 1905 Special Relativity Paper: https://www.fourmilab.ch/etexts/einstein/specrel/specrel.pdfHis 1914 (not 1913) Paper "On the Relativity Problem":https://einsteinpapers.press.princeton.edu/vol4-trans/318His 1918 discussion of the Twin Paradox and the Gravity-based solution:https://einsteinpapers.press.princeton.edu/vol7-trans/82His 1920 lecture at the University of Leiden on the ether:https://einsteinpapers.press.princeton.edu/vol7-trans/176Contents:00:00 - Intro01:11 - The Many Interpretations of Relativity04:55 - Examining Sabine's Interpretation, Pt. 108:30 - Examining Sabine's Interpretation, Pt. 210:58 - The Source of Confusion12:12 - Are There Better Interpretations?
An Introduction to Curvilinear Coordinates in Differential Geometry Dialect 2024-04-13 | The equations of General Relativity are written in the language of curvilinear coordinates, where mathematical objects like Basis Vectors, Metric Tensors, and Christoffel Symbols dominate the landscape. But where do these concepts come from and how can we connect them to our physical intuition? Join us to find out. Plus -- hotwheels! (Note: some familiarity with vector calculus is highly recommended.)Please consider helping support us on Patreon:https://www.patreon.com/dialect_philosophyJoin our Discord!:https://discord.gg/6GekzV5EConceptualizing the Christoffel Symbols Video:https://youtu.be/TvFvL_sMg4gMetric Tensor Trilogy:https://www.youtube.com/playlist?list=PL__fY7tXwodmfntSAAyBDxZ4_eE3ZwbFEContents:00:00 - Intro00:50 - What are Curvilinear Coordinates?03:28 - Basis Vectors & Parametric Basis08:00 - Coordinate Acceleration & Levi-Civita Condition11:47 - The Christoffel Symbols12:53 - Characterization of Arbitrary Coordinates14:42 - Characterization of Polar Coordinates19:12 - Geodesics20:31 - Curved Surfaces
Matrix Theory: Relativity Without Relative Space or Time Dialect 2024-02-03 | It's the question that brought you here: what is the physical meaning of Relativity? For well over a century the answer to this question has eluded physicists, thinkers and scientists alike, including even Einstein himself -- but at long last, from out of the canonical labyrinth of confusion, dogma, and mathematical abstraction, some real, tangible answers are finally emerging. But to understand them, you are going to have to first make a choice... math, or physics?Free your mind, and help support us on Patreon! https://www.patreon.com/dialect_philosophyLink to "The Loophole" video:https://www.youtube.com/watch?v=ff0aofh6urULink to Veritasium's "Why No One Has Measured The Speed of Light" video:https://www.youtube.com/watch?v=pTn6Ewhb27k&t=686sThe Mechanism for Physical Time Dilation explained: https://www.youtube.com/watch?v=eKkH4IH-zmwSOURCES AND REFERENCES:Lindner, Henry. (2015). "On The Philosophical Inadequacy of Modern Physics and The Need For a Theory of Space"http://henrylindner.net/Writings/LindnerFinalCorrected.pdfEinstein, Albert. (1920). "Ether and The Theory of Relativity"https://einsteinpapers.press.princeton.edu/vol7-trans/176Einstein, Albert. (1914) "On the Relativity Problem"https://einsteinpapers.press.princeton.edu/vol4-trans/318Einstein, Albert. (1905). "On the Electrodynamics of Moving Bodies" https://www.fourmilab.ch/etexts/einstein/specrel/specrel.pdfReichenbach, Hans. (1927). "The Philosophy of Space and Time"https://altexploit.files.wordpress.com/2017/09/hans-reichenbach-maria-reichenbach-translator-the-philosophy-of-space-and-time-1957.pdfMansouri, Reza & Sexl, Roman. (1977). "A test theory of special relativity: I. Simultaneity and clock synchronization." General Relativity and Gravitation. 8. 497-513. 10.1007/BF00762634. https://www.researchgate.net/publication/226579519_A_test_theory_of_special_relativity_I_Simultaneity_and_clock_synchronizationAnderson, R., Vetharaniam, I., & Stedman, G.E. (1998). "Conventionality of synchronisation, gauge dependence and test theories of relativity." Physics Reports, 295, 93-180.http://www.terra32.it/trusso/varie/AndVetStedPhRep(1998).pdfContents:00:00 - Intro02:15 - The Construct05:52 - The Real World10:23 - The Matrix17:50 - The Source
Einsteins Relativity contains a HUGE Loophole. Its Implications Cant Be Ignored. Dialect 2023-11-18 | An extraordinary misunderstanding lies at the heart of relativity, born in the overlooked distinction between the empirical verifiability of the two-way speed of light and the presumed isotropy of one-way light speed. What is this distinction exactly, and how might making it explicit shake the foundations of our entire paradigm of modern physics?Thank you for watching and please consider supporting us on Patreon! https://www.patreon.com/dialect_philosophyReferences and Sources:Einstein, Albert. (1905). "On the Electrodynamics of Moving Bodies" https://www.fourmilab.ch/etexts/einstein/specrel/specrel.pdfReichenbach, Hans. (1927). "The Philosophy of Space and Time"https://altexploit.files.wordpress.com/2017/09/hans-reichenbach-maria-reichenbach-translator-the-philosophy-of-space-and-time-1957.pdfMansouri, Reza & Sexl, Roman. (1977). "A test theory of special relativity: I. Simultaneity and clock synchronization." General Relativity and Gravitation. 8. 497-513. 10.1007/BF00762634. https://www.researchgate.net/publication/226579519_A_test_theory_of_special_relativity_I_Simultaneity_and_clock_synchronizationAnderson, R., Vetharaniam, I., & Stedman, G.E. (1998). "Conventionality of synchronisation, gauge dependence and test theories of relativity." Physics Reports, 295, 93-180.http://www.terra32.it/trusso/varie/AndVetStedPhRep(1998).pdfContents:00:00 - Intro01:06 - The Caveat to Einstein's Postulate03:33 - The One-Way Speed of Light Problem08:33 - The Epsilon Value11:23 - The Loophole14:07 - Invariance of Laws of Physics16:17 - Absolute Simultaneity/Anisotropic Light18:16 - New Directions
Conceptualizing the Christoffel Symbols: An Adventure in Curvilinear Coordinates Dialect 2023-10-07 | What are the Christoffel Symbols, and why do we need them? Our exploration into the world of differential geometry continues, as we strive to lay bare the complex mathematical machinery behind General Relativity. Here we calculate the Christoffel symbols for the most common of curvilinear coordinates system — polar coordinates — in order to build a preliminary intuition for what these symbols represent and how they relate to the metric tensor. As a bonus, we unearth the meaning of concepts like the Levi-Civita connection and parallel transport along the way. Plus: bears!Thank you for watching, and please consider supporting us on Patreon -- it makes a difference. https://www.patreon.com/dialect_philosophyContents:00:00 - Intro00:54 - Cartesian vs. Polar Land03:31 - The Metric Tensor10:16 - The Levi-Civita Connection14:15 - The Christoffel Symbols21:14 - A Polar Geodesic22:27 - Future Agenda
What Time Dilation ACTUALLY Is In Relativity (Hint: It has nothing to do with time) Dialect 2023-08-05 | What causes Time Dilation? In the context of special relativity, where different observers disagree on basic facts about space and time, there has never been a clear consensus on this question, even among the experts. But an alternative interpretation known as Dynamical Relativity offers an entirely mechanistic explanation of the phenomenon, devoid of any mind-bending, space-and-time-altering pseudo-mysticism. What is this explanation exactly, and can it lead us to a deeper, more logically coherent understanding of the theory? Join us to find out. Plus, introducing the affordably-priced SoundBot-2000 -- watch out for its adorable critical-thinking alerts!Thank you for watching, and please consider supporting us on Patreon -- it makes a difference. https://www.patreon.com/dialect_philosophyAn approachable introductory paper on Dynamical Relativity:https://arxiv.org/abs/1405.3979v2Contents:00:00 - Intro01:03 - "Hearing" Time03:11 - Deriving Gamma05:36 - The Clock Paradox09:54 - The Twin Paradox10:56 - Dynamical Relativity13:40 - It's About Uncertainty, Silly
Why The Theory of Relativity Doesnt Add Up (In Einsteins Own Words) Dialect 2023-06-24 | Relativity is as successful a theory as it is mind-bending - yet Einstein himself did not believe it was complete, and in a 1914 paper he critiqued its internal consistency at some length. Indeed, at one time or another we have all found ourselves in a state of healthy skepticism about the tenets of relativity, seemingly confronted by a mysticism of warping space and time that is nigh impossible to wrap one's head around -- and so here we find ourselves compelled to ask the same question Einstein did over a century ago: is the theory of relativity truly consistent, and if not, what does this mean for its future?Please help support us on Patreon!https://www.patreon.com/dialect_philosophyEinstein's 1914 Paper "On the Relativity Problem"https://einsteinpapers.press.princeton.edu/vol4-trans/318Henry Lindner's "On The Philosophical Inadequacy of Modern Physics"http://henrylindner.net/Writings/LindnerFinalCorrected.pdfContents:00:00 - Intro01:04 - Of Axioms & Absolutes04:22 - Einstein Calls Out His Own Theory05:54 - Defining "Absolute" Acceleration07:35 - What are We Accelerating Relative to?10:00 - Einstein's Mistake11:57 - Where Do We Go From Here?16:14 - Acknowledgments
The Strengthened Liar and Paradoxes of Incompleteness Dialect 2023-04-08 | The Liar's Statement is one the most infamous problems in logic, but less well-understood is this paradox's connection to the concept of formal incompleteness. Indeed a close examination of this relationship produces an unexpected connection, leading us to ask — are some of the most famous theorems that have come out of mathematics, logic, and computability over the last century nothing more than a trivial application of reasoning known as the Strengthened Liar?Content:00:00 - Intro00:57 - The Liar's Paradox and Incompleteness05:53 - The Meaning of Incompleteness09:45 - The Strengthened Liar
The River Model of General Relativity Dialect 2023-03-11 | Does space "flow" like a river? There's an analogy in General Relativity positing exactly that, and which, astonishingly enough, conveys the sophistication of Einstein's theory via a few simple intuitions. But how truthful is such a view, and what would it imply about the most infamous of massive objects to inhabit our universe -- that of the black hole? Climb aboard our river-boat and find out! Plus -- Curious Edgar finds himself in more than one vertiginous predicament.Credit for the thumbnail title goes to this webpage: https://jila.colorado.edu/~ajsh/insidebh/waterfall.htmlPlease consider supporting us on Patreon:https://www.patreon.com/dialect_philosophyContent:00:00 - Intro01:05 - The Set-Up01:54 - Accelerated Frames & "Flowing" Space04:24 - Acceleration at the Surface of the Earth06:10 - Reinterpreting Gravity07:36 - Riverine Analogies11:12 - Constructing the River of Space12:43 - Phenomena on the River16:05 - A Black Hole is a Waterfall of Space18:09 - Conclusion
Logic at its Limit: The Grelling-Nelson Paradox Dialect 2023-01-14 | Whoever said logic was infallible? Certainly not the German logicians who, in 1908, discovered this mind-bending paradox. Learn how they beat reason at its own game, all by asking a single question about two simple words. Don't skimp out or you'll miss the surprise twist at the end! Plus: a very brief, totally not copyright-infringing appearance by The Sorting Hat.Enjoy the video and please consider helping support us on Patreon -- https://www.patreon.com/dialect_philosophyContents:00:00 - A Tale of Two Words02:04 - Semantic Sorting03:30 - Paradox in a Nutshell04:41 - Grammatical Formulas06:53 - Breaking Logic10:12 - The Naive Objection11:18 - This was never about words, was it?
The Geometry of a Black Hole Dialect 2022-12-17 | Gravity is said to be the curvature of space and time, but what does such curvature actually look like? In this video we explore the foremost solution to Einstein's equations -- the Schwarzschild solution -- in order to construct a concrete visualization of the spacetime manifold. Will this visualization grant us new insight into our higher-dimensional reality? The secrets of gravity are locked away... in The Geometry of a Black Hole.Contents:00:00 - Intro00:50 - The Schwarzschild Metric02:03 - The Schwarzschild Coordinates06:30 - Resizing Space and Time10:48 - Visualizing the Manifold12:07 - Motion on the Manifold14:14 - Reconstructing the Classical Gravitational Field15:02 - The Geometry of a Black Hole17:22 - Conclusion
Why General Relativity (and Newtons Laws) tell us The Sky is Falling Up Dialect 2022-11-05 | Understanding the Equivalence Principle is pretty straightforward -- so long as you're willing to throw out some basic intuitions about your everyday motion. Indeed, there is an astonishing truth about why objects actually "fall" at the surface of the earth that most people are completely oblivious to. Join us as we take to rocket ships, rooftops, cow pens, and other exotic settings in an attempt to expose it. Plus: plenty of monkey business along the way!Support us on Patreon: https://www.patreon.com/dialect_philosophyContents: 00:00 - Introduction01:02 - Intuition, a Fickle Mistress02:20 - The Operative Definition03:58 - Motion in a Rocket Ship07:27 - Motion at the Surface of the Earth09:48 - The Equivalence Principle12:37 - The "Switch"15:11 - Motion Falling off of a Building17:54 - Tidal Forces20:48 - The Sky is Falling Up!
The Spacetime Metric Dialect 2022-09-02 | In the (epic?) conclusion to our metric tensor trilogy, we dive a little deeper into the origins of the metric tensor in an attempt to bridge the conceptual gulf that lies between our ordinary, intuitive understanding of geometry and that abstracter comprehension of it required to master General Relativity's four-dimensional spacetime. Can we pave ourselves a path to clearer understanding in twenty minutes? Let us know in the comments.Contents:00:00 - Intro / Describing Distance01:56 - Maps and Metrics04:28 - Intro to Spacetime Cartography 09:07 - Formulating the Metric11:57 - Interpreting the Metric13:57 - An Analogous Explication of Spacetime16:11 - The Spacetime Metric20:29 - Conclusions
The TRUE Cause of Gravity in General Relativity Dialect 2022-06-18 | Alternatively titled, "Physics Myth-Busters: why time dilation does NOT cause gravity" this video explores an explanation of General Relativity whose monumental erroneousness is commensurate only to its popularity. What is this explanation, why is it so wrong, and how did so many high-profile YouTubers get suckered into promoting it? Prepare for a heavy dose of critical thinking, as we attempt to sift facts from falsehood and approach a deeper, more meaningful understanding of the actual nature of gravity. Contents: 00:00 - Introduction01:17 - Interpreting Curvature01:55 - The "Time Dilation Causes Gravity" Explanation 04:00 - First Confusions05:30 - Distinctions between Gravity & Gravitational Attraction07:36 - The Problem of the Uniform Gravitational Field11:03 - "Gravity" at the Surface of the Earth13:30 - Spacetime Diagrams vs. Spacetime16:39 - Testing for Curvature19:19 - A Hidden Coordinate Transformation21:11 - The True Cause of Gravity24:09 - Planes of Simultaneity 24:50 - We Need Your Help!
The Meaning of the Metric Tensor Dialect 2022-05-07 | In the follow-up to our prior video, Demystifying the Metric Tensor, we continue to explore the physical and conceptual intuition behind the complex mathematical object known as The Metric Tensor, whose crucial role in the General Relativity, requisite to understanding the theory, tends to be easily obscured by abstract ideas and mathematics.Support us on Patreon! https://www.patreon.com/dialect_philosophyContents:00:00 - Introduction00:54 - Spacetime Cartography02:30 - Maps / Coordinate Systems04:00 - Bar Scales / Metrics06:03 - Spacetime Distance07:30 - Topological Transformations08:39 - The 2D Metric13:58 - The 3D Metric18:39 - Conclusion
Newton vs. Mach: The Bucket Experiment Dialect 2022-02-18 | What is the ultimate nature of motion? Two influential physicists famously debated this question, invoking a bucket-and-water thought experiment to do so -- but they arrived at starkly different conclusions. Can we determine which one of them was right? Join us on a journey that spans centuries of metaphysical thought, books worth of controversial literature, and twenty-minutes of bad attempts at animating water spinning in a bucket.Contents:00:00 - Intro01:05 - Newton's Absolutes04:15 - The Bucket Experiment07:31 - Round 1: Mach11:14 - Round 2: Newton13:06 - Round 3: Sudden Death
Demystifying The Metric Tensor in General Relativity Dialect 2021-10-22 | The path to understanding General Relativity starts at the Metric Tensor. But this mathematical tool is so deeply entrenched in esoteric symbolism and complex mathematics that its simplistic, intuitive purpose often goes neglected. Here we attempt to expose the basic principles behind the Metric Tensor -- and investigate how they tie into General Relativity -- in as simplistic a manner as possible. Do we succeed? Feel free to let us know in the comments!Support us on Patreon! https://www.patreon.com/dialect_philosophyContents:00:00 - Intro00:54 - The Equations of General Relativity01:33 - The Metric as a Bar Scale02:45 - Reading Topography on a Map04:53 - Coordinate Distance vs. Real World Distance05:35 - Components of the Metric Tensor08:50 - Mapping the Earth09:48 - Stretching and Skewing / Law of Cosines11:37 - Geometrical Interpretation of the Metric Tensor 12:37 - Coordinate Systems vs. Manifolds 13:39 - Conclusions
Even More Paradoxical: The Twin Paradox in Curved Spacetime Dialect 2021-06-18 | The Twin Paradox gets a stranger, even more mind-bending upgrade in General Relativity's world of curved spacetime. We explore the surprising and relatively unknown results to these new scenarios, while getting our toes wet in some of GR's conceptual frameworks. And finally, after several twists and turns, we are able to narrow down the only relevant criteria for resolving the Twin Paradox.Links to relevant papers discussed in the video:https://arxiv.org/pdf/0905.2428.pdfhttps://arxiv.org/pdf/0909.5364.pdfSupport us on Patreon: https://www.patreon.com/dialect_philosophy
Einstein, Gravity, and the Twin Paradox (Einsteins 1918 Solution) Dialect 2021-01-09 | Surprisingly few people are aware of Einstein's preferred solution to the Twin Paradox, which he detailed in a 1918 paper. We examine this solution, purported to take place within the framework of General Relativity, in hopes of finally finding an explanation to the twin paradox that can appease our empathic skepticism. Along the way we learn a thing or two about the nature of gravity, the distinctions between special and general relativity, and the philosophy of motion.Feel free to leave questions or concerns in the comments below!Full Twin Paradox Playlist: https://www.youtube.com/playlist?list=PL__fY7tXwodlaZp8pCI-Snv6pad5RuSdQSupport us on Patreon!https://www.patreon.com/dialect_philosophyLink to Einstein's 1918 "Dialogue on Objections to the Theory of Relativity" Paper: https://einsteinpapers.press.princeton.edu/vol7-trans/82We are indebted to this paper for much of our historical information: https://www.academia.edu/3771200/Einstein_and_twin_paradox
Do Inertial Frames Resolve The Twin Paradox? Dialect 2020-10-27 | Or more precisely titled, does "switching" between inertial frames of reference adequately account for the asymmetry of the twin paradox? Our investigation of another highly-touted YouTube solution leads to some surprising conclusions.Support us on Patreon! https://www.patreon.com/dialect_philosophyFull Twin Paradox Playlist: https://www.youtube.com/playlist?list=PL__fY7tXwodlaZp8pCI-Snv6pad5RuSdQ
Solutions to the Twin Paradox are STILL Wrong Dialect 2020-05-15 | Are "solutions" to the twin paradox STILL leaving you confused and skeptical? In our follow-up to "Why Solutions to the Twin Paradox are Wrong" we dive deeper into popular YouTube videos, examining spacetime diagrams, the Lorentz Transformations, and other tools that are often incorrectly used to resolve the paradox.Feel free to leave any questions or thoughts in the comments below!Full Twin Paradox Playlist: https://www.youtube.com/playlist?list=PL__fY7tXwodlaZp8pCI-Snv6pad5RuSdQLink to "Why Solutions to the Twin Paradox are Wrong":https://www.youtube.com/watch?v=nRuVGOm7560&feature=youtu.beLink to "Can You Feel Force?"https://www.youtube.com/watch?v=Ejesyx8t9IwSupport us on Patreon! https://www.patreon.com/dialect_philosophy
Can You Feel Force? Dialect 2020-04-10 | It's often taught to us in physics that you can "feel a force". But what do statements about feeling force even mean, and are they accurate? The answer will surprise you. A follow-up video to "Why Solutions to the Twin Paradox are Wrong."
Why You Cant Travel Backwards in Space Dialect 2019-12-14 | Turns out time isn't the only one with an arrow! Discover why traveling backwards in space is just as impossible as traveling backwards in time.
Why Solutions to the Twin Paradox are WRONG Dialect 2019-05-10 | Do "solutions" to the twin paradox leave you confused or skeptical? You're not alone. An examination of three popular YouTube videos pinpointing where and why they get it wrong. Plus, Albert and Emmy get chatty.Full Twin Paradox Playlist: https://www.youtube.com/playlist?list=PL__fY7tXwodlaZp8pCI-Snv6pad5RuSdQSupport us on Patreon! https://www.patreon.com/dialect_philosophy
