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CryoScience
United States
เข้าร่วมเมื่อ 17 ก.ย. 2020
Hi everyone,
It has been a while since I have been on TH-cam. Things have been busy and now I am back. I intend to create more content now and have decided to change how I create content. There are no online educational platforms that cover foundational textbooks in a way that makes learning these books easy and fun and so I have decided to take this effort upon my shoulders. In this channel you one playlist will be dedicated to one book that I intend to cover. If there is a particular book that you would like me to cover then please visit my Patreon page and you can make suggestions there. Depending on how much you decide to contribute to this channel I will cover the books/PDFs that you suggest. I am excited to get back in the game! Lets get started!
It has been a while since I have been on TH-cam. Things have been busy and now I am back. I intend to create more content now and have decided to change how I create content. There are no online educational platforms that cover foundational textbooks in a way that makes learning these books easy and fun and so I have decided to take this effort upon my shoulders. In this channel you one playlist will be dedicated to one book that I intend to cover. If there is a particular book that you would like me to cover then please visit my Patreon page and you can make suggestions there. Depending on how much you decide to contribute to this channel I will cover the books/PDFs that you suggest. I am excited to get back in the game! Lets get started!
Chern-Simons Theory 2 | A Real Understanding of Topology (Free Version)
We start to get into the mathematical weeds of differential forms for the topological field theory that is Chern Simons theory. This is the first step in a series of many that will lead us to to a full understanding of this topic.
Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci
#physics #modernphysics #topology
Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci
#physics #modernphysics #topology
มุมมอง: 323
วีดีโอ
Chern-Simons Theory 1 | Topological Notions in Physics
มุมมอง 31621 วันที่ผ่านมา
Enjoy this first video on me! In this video we cover the concept of topology and why it will be important later on in this series. Chern Simons theory is a topological field theory and so we need to get start getting our feet wet with topology. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon pa...
Maxwell, Yang, Mills, Chern & Simons Meet for Gauge Theory
มุมมอง 325หลายเดือนก่อน
This is the start to a new playlist on the topic of Chern -Simons theory. This theory is extremely complex and therefore needs a lot of prerequisites that we will cover in some depth. In this video we start just by briefly giving a general overview of the theory. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by goi...
Quantum Gravity 17 | Ashtekar's Variables (Free Version)
มุมมอง 155หลายเดือนก่อน
In this video we discover an interesting relationship between the extrinsic curvature, our canonical variables for out QG model and our gauge potential from Yang Mills theory. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci #physics #modernphysics
Statistical Field Theory 2 | Louiville's Way of Thinking (Free Version)
มุมมอง 118หลายเดือนก่อน
This is the free version of this video. In this video we start with the Louiville way of thinking. We introduce the notion of phase space and volumes in these spaces. It is important that we get to understand these spaces early on because we will be referring to them many times later. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute ...
Quantum Gravity 16 | A Run Down on Yang-Mills Theory (Full Version)
มุมมอง 499หลายเดือนก่อน
Enjoy this video on me again! In this video we cover a canonical view of Yang-Mills theory. Yang-Mills theory contains a striking set of analogies with quantum gravity and we also probe the concept of holonomy which is a concept that is deeper than local invariance. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by ...
Statistical Field Theory 1 | An Intro & Path Integrals
มุมมอง 507หลายเดือนก่อน
This video is on me again as the first video in a new playlist on statistical fields and renormalization theory. This playlist is designed to give us a theoretical and mathematical understanding of stochastic processes underlying the forces behind biological phenomena. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel ...
Quantum Gravity 15 | A Grand Tour of Gauge Theory (Full Version)
มุมมอง 537หลายเดือนก่อน
Enjoy this video on me! This is a grand canonical tour of Maxwell and Gauge Theory which will be important for our discussion on quantum gravity. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci #education #physics #quantumgravity #modernphysics
Finance From Physics 2 | What Is Arbitrage In Physics?
มุมมอง 255หลายเดือนก่อน
In this video we cover the concept of arbitrage in physics. Arbitrage in finance is associated with a special type of gauge invariant quantity that we derive in this video. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci #education #economics #modernphysics
Quantum Gravity 14 | A New Understanding of Quantum Gravity (Free Version)
มุมมอง 176หลายเดือนก่อน
In this video we will come to understand quantum gravity as an analog to Yang Mills Theory of electromagnetism. This will require us to understand Maxwell's Theory, Yang-Mills Theory and Gauge Theory to fully understand and appreciate quantum gravity at a deep level. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by...
Finance From Physics 1 | How We Can Model Physics With Economics
มุมมอง 1632 หลายเดือนก่อน
In this video we start a new playlist on how we can understand modern physics from basic economics. We start very simple with the concept of global and local transformations. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarmeci #finance #modernphysics
Quantum Gravity 13 | The "Quantum" Part of Quantum Gravity (Free Version)
มุมมอง 1052 หลายเดือนก่อน
In this video we cover an external pullback of the variables from 4D space to 3D space. This will help us understand the Palatini Action in spacetime and how it relates to the Palatini action in one lower dimension. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarme...
Quantum Gravity 12 | Finally A Canonical Momentum (Free Version)
มุมมอง 1512 หลายเดือนก่อน
In this video we write the Palatini Action in a way that is suggestive of a canonical momentum for self-dual connection. Later on in this video we introduce the notion of self-duality within the context of geometry. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by going to my patreon page @ patreon.com/tristancarme...
Quantum Gravity 11 | Internal vs External, Self vs Anti-Self, & More! (Free Version)
มุมมอง 1032 หลายเดือนก่อน
In this video we cover the difference between internal and external mathematical objects as well as cover the difference between self and anti-self duality. These are important because we ultimately want to be able to cast out Palatini action is a way that is internal and self dual. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to...
Quantum Gravity 10 | Triads vs. Tetrads (Free Version)
มุมมอง 2.1K3 หลายเดือนก่อน
In this video we cover the triads and how they are related to tetrads. These are an essential piece to the puzzle in defining a quantum theory for gravity because we will see how they are intricately related to the canonical variables for the Lagrangian formalism. Subscribe to the channel and become a member so that you can obtain exclusive content! You can also contribute to this channel by go...
Quantum Gravity 9 | How the Lie Derivative is Related to Extrinsic Curvature
มุมมอง 5663 หลายเดือนก่อน
Quantum Gravity 9 | How the Lie Derivative is Related to Extrinsic Curvature
Quantum Gravity 8 | Finally the ADM Formalism!! (Free Version)
มุมมอง 3463 หลายเดือนก่อน
Quantum Gravity 8 | Finally the ADM Formalism!! (Free Version)
A Derivation of the Schwarzschild Metric
มุมมอง 4183 หลายเดือนก่อน
A Derivation of the Schwarzschild Metric
Quantum Gravity 7 | An Action for Quantum Gravity (Free Version)
มุมมอง 2973 หลายเดือนก่อน
Quantum Gravity 7 | An Action for Quantum Gravity (Free Version)
A Huge Review of Electromagnetism & Conformal Transformations in General Relativity
มุมมอง 3053 หลายเดือนก่อน
A Huge Review of Electromagnetism & Conformal Transformations in General Relativity
Is There Something Wrong With Scientists?!
มุมมอง 3503 หลายเดือนก่อน
Is There Something Wrong With Scientists?!
Quantum Gravity 6 | The Building Blocks, Tetrads! (Free Version)
มุมมอง 2443 หลายเดือนก่อน
Quantum Gravity 6 | The Building Blocks, Tetrads! (Free Version)
Quantum Gravity 5 | Parallel Transporting Spinors (Free Version)
มุมมอง 3344 หลายเดือนก่อน
Quantum Gravity 5 | Parallel Transporting Spinors (Free Version)
A General Principle of Riemann Curvature : The Ruse-Lanczos Equation
มุมมอง 2254 หลายเดือนก่อน
A General Principle of Riemann Curvature : The Ruse-Lanczos Equation
Quantum Gravity 4 | How to Make General Relativity Complex (Full Version)
มุมมอง 2764 หลายเดือนก่อน
Quantum Gravity 4 | How to Make General Relativity Complex (Full Version)
Quantum Gravity 4 | How to Make General Relativity Complex (Free Version)
มุมมอง 884 หลายเดือนก่อน
Quantum Gravity 4 | How to Make General Relativity Complex (Free Version)
Quantum Gravity 3 | Hairy Ball Theorem and Complex Projective Spaces (Free Version)
มุมมอง 1904 หลายเดือนก่อน
Quantum Gravity 3 | Hairy Ball Theorem and Complex Projective Spaces (Free Version)
cool stuff!
Shouldn't the tangent and normal vectors span the osculating plane?
Thank you for these deep dives. As an amateur physicist, I really appreciate these videos, i always wanted to go deeper in these topics. My next vacation i will spend going through all you videos.
Dirac and Lorentz Transformations Dirac took an electron and figured out how the electron will transform under the Lorentz transformations and after published the results as the existence of an antielectron / positron. Electron after Lorentz transformations changes into an antielectron.
This looks like a very valuable resource...but you mention that is the follow up to a preceding video that should probably be viewed first. Can you direct me to the preceding video? If the videos were numbered sequentially It would be a great help. Thank you.
Hi there, thank you for your interest in this video. This is a video from a collection that I believe I started deleting because I wan't to refine the quality and way I presented the material. I cover this same topic in my newer playlist on general relativity. Hopefully this helps. Please let me know if you have any more questions.
@@cryoscience9186 Oh no! I really wanted to view the video preceding this one. Do you have the name of the newer video that covers the same topic (as the preceding video)? I see lot's of videos on you channel and don't which is the one I'm looking for.
Hi, the videos are great. I have one comment. isn't F^(23)=Bx rather than -Bx? I get all signs opposite.
Schwarzschild literally translated is Blackshield. So Germ. black is schwarz ( no c for the sh sound in Engl. -> shwarz) and Germ. shield is Schild, pronounced shild like built, no eye sound of the i, but a „kill“ sound. The d at the end is a soft „d“ sound in principle, but in everyday German it is spoken as a sharp „t“ sound like in English. So Shwarzshilt. Similarly Rothschild isnt pronounced Roths-child, there is no child involved here, but roatshild/roatshilt. Roth ( with an ancient German th, the h is preserved in names only and always silent in German) is German red, in modern German rot ( no name, no h), so you have Blackshield ( Shwarzshilt) and Redshield ( Roatshilt), two jewish names that were chosen by them because in the middle ages in Germany some (their) houses had a coloured shield at the front wall of the house. Legend has it that Rothschild ( Roatshilt ;) started with this. So due to your pronouncing Ricci in Italian I thought that could be of interest to you. Good videos you make!
Topological holes cannot be shrunk down to zero -- non null homotopic. The big bang is a Janus point/hole (two faces = duality) -- Julian Barbour, physicist. Positive curvature is dual to negative curvature -- singularities (points) are dual. Synchronic points/lines are dual to enchronic points/lines. "Always two there are" -- Yoda. Real is dual to imaginary -- complex numbers (photons) are dual. Space is dual to time -- Einstein.
Holy reverb batman
Very clear thank you!!
For 118 years, by determining the constancy of speed of light, all experiments and Michelson-Morley experiments are indirect and incomplete. If the Michelson-Morley experiment was carried out on a bus or airplane and was used to determine speed. only then will this experience be direct. Therefore, Einstein does not rely on the Michelson-Morley experiment. Question. Do you have an example of such direct experience? New technologies, new research tools Let me suggest for schoolchildren and students on one's own to measure the Universe, dark energy, black holes, etc. To do this, I propose two practical devices. «laser tape measure *+reference distance* 1,000,000 m”» and «Michelson-Morley HYBRID Gyroscope». I am writing to you with a proposal for the joint invention of a HYBRID gyroscope from non-circular, TWO coils with a new type of optical fiber with a “hollow core photonic-substituted vacuum zone or (NANF)” where - the light travels 500000 (In a laser tape measure, the length of the optical fiber is fixed at 1000000 ) meters in each arm, while it does not exceed the parameters 94/94/94 cm, and the weight is 94 kg. Manufacturers of “Fiber Optic Gyroscopes” can produce HYBRID gyroscopes for educational and practical use in schools and higher education institutions. Einstein dreamed of measuring the speed of a train, an airplane - through the Michelson-Morley experiment of 1881/2024, and only then would the experiment be more than 70% complete. This can be done using a fiber optic HYBRID gyroscope. Based on the completion of more than 70% of Michelson's experiment, the following postulates can be proven: Light is an ordered vibration of gravitational quanta, and dominant gravitational fields adjust the speed of light in a vacuum. you can make scientific discoveries; in astronomy, astrophysics, cosmology, higher theoretical physics,...
Wow...now i have more clarity
great review, thanks!
What does it mean F ^dA mean
The dA is the exterior derivative of the gauge potential and we will find a relationship between the electromagnetic field strength and the dA. We will discuss this more in the videos to come.
Brother, you are doing wonders for the community. Keep going.
Nice 🎉
I appreciate your effort 🎉 But currently I am not able to understand such complex stuff 😅
It’s tricky to talk about the math of quantum gravity while trying to also make it understandable and somewhat easy to follow. I have some ideas on future playlists to optimize the how I deliver this type of material. Sit tight and stay tuned.
@@cryoscience9186 Ok sure since I am interested in higher physics........ 😁
Can i please ask, why biophysics? Why not mathematical or theoretical physics? Im doing a double major math physics and was thinking complex system for grad school
Good question, I did my undergrad in chemistry and worked on a masters in bioengineering so there was always an interest in the life sciences. I decided to apply to biophysics PhD programs and got accepted and so I’ve been doing biophysics for the past 4 years. A part of me wishes that I would have focused more on mathematical physics because it is slightly more interesting to me but I still very much enjoy biophysics.
i think you have a typo at 23:30. that "-" sign should be a "+"
Keep going buddy😊😊
What are prerequisites for yang mills theory
If you really want to get deep into YM theory I would say Lie Groups/Lie Algebra, Gauge Theory and QFT would provide a strong foundation
Very nice
Just got silver membership
As always...thank you so much
I have a few imagination of ideas can I share with u!!!
Appreciate it. I've wanted to get into statistical fields for a while. I've been trying to follow Kardar's lectures and books re: this topic. Do you think that's wise, or is there a better alternative?
great video...once again
I can follow the consequences, but I missed the very original motivation for assuming electrons to be represented by a delta function. What was the motivation? Experimental or what?
Quite an interesting topic. Just a small suggestion, it would be easier to follow if your voice is a little more clear. Cheers!
Hi Tristan, I’m an undergraduate physics and astronomy major and would love to continue studying particle physics and quantum gravity. Finding this channel has been an absolute godsend! I might be a year or two off from actually understanding anything from these videos but knowing that this all exists to come back to is amazing for me. Keep up the great work!
Thank you for your comment. Please let me know if there is anything that I can do to make this content more understandable. I’m interested in trying to make complex topics easier to understand for a broader audience.
Very nice. Just a question: it seems to me that what you are doing when relating i with the matrix, is simply defining the matrix bold(i)? I cannot see how you can equate i (the number) to a matrix. You say you have a transformation, but I see no transformations. Could you clarify this?
Thank you for your question. This isn’t really a mapping, it’s more a way of thinking about the complex number in a different way. I probably didn’t explain this the best I could so thank you for bringing it up.
When I start to imagine about how the space can expand I understand that there is something strange, because it expand everywhere at the same rate in all directions, it’s like a fractal of expansion but everywhere. But this kind of thing would result in an infinite speed of expansion. Space time is quantum I think
yes, and uh, from the popcorn model of reality: make the universe manageable by applying simplicity. our universe can be divided into 2 parts. the beginning and the end (dissipation). now imagine a higher pitched harmonic of our reality: This is the realm of dark matter. the ratio in the relative energy difference between the adjacent harmonics has a magnitude of between 10e64 and 10e72 7 levels of force exists within these harmonics: time* gravity weak strong em human thought process* big (supreme)* *not recognized as a force our universe exists from the interaction of these forces em is the dominant force in our measured universe. the most massive dark matter particle is equal in mass to the least massive detected particle pair (neutrino/antineutrino). shall i go on in a different post or continue here or just shut up?
I’m high as shit
Quantum gravity is interesting. But one can also look at it like as it expands it is taking away from space. Thomas Bram author of The Woven Sun
Hey that's pretty cool. I don't really know much about physics, but are the params in the matrix related to christoffel symbols?
Hi there, ya, everything sort of comes down to the tetrads. A few videos ago I talked about how the tetrads were kind of like the “square root” of the metric and so in theory if we know the tetrads we should be able to back calculate the Christoffel symbols. I might do a video on this later.
🎉
Hello. For big science, do we need direct experiments with direct proof of the constant speed of light? Who will help create a working group involving students to work on a new experiment? Do you understand that one mind and a person are not enough? (for 119 years) By determining the constancy of speed of light, all experiments and Michelson-Morley experiments are indirect and incomplete. If the Michelson-Morley experiment was carried out on a bus or airplane and was used to determine speed. only then will this experience be direct. Therefore, Einstein does not rely on the Michelson-Morley experiment. Question. Do you have an example of such direct experience? New technologies, new research tools Let me suggest for schoolchildren and students on one's own to measure the Universe, dark energy, black holes, etc. To do this, I propose two practical devices. «laser tape measure *+reference distance* 1,000,000 m”» and «Michelson-Morley HYBRID Gyroscope». I am writing to you with a proposal for the joint invention of a HYBRID gyroscope from non-circular, TWO coils with a new type of optical fiber with a “hollow core photonic-substituted vacuum zone or (NANF)” where - the light travels 500000 (In a laser tape measure, the length of the optical fiber is fixed at 1000000 ) meters in each arm, while it does not exceed the parameters 94/94/94 cm, and the weight is 64 kg. Manufacturers of “Fiber Optic Gyroscopes” can produce HYBRID gyroscopes for educational and practical use in schools and higher education institutions. Einstein dreamed of measuring the speed of a train, an airplane - through the Michelson-Morley experiment of 1881/2024, and only then would the experiment be more than 70% complete. This can be done using a fiber optic HYBRID gyroscope. Based on the completion of more than 70% of Michelson's experiment, the following postulates can be proven: Light is an ordered vibration of gravitational quanta, and dominant gravitational fields adjust the speed of light in a vacuum. you can make scientific discoveries; in astronomy, astrophysics, cosmology, higher theoretical physics,... (We are not looking for ether, we will see the work of gravitational quanta) The result is a «theory of everything» in a simple teaching device and a new tape measure for measuring the universe.
Since 1905 the physicists (Einstein first) lost any contact with the reality. Laphysiqueneoclassique. FR
This channel is fire but I’m too dumb for it
Maybe your learning style is different. I personally hate numbers.
Title: "Information-Based Quantum Gravity Effects" Prediction: Gravitational effects have a quantized structure at very small scales, with the quantization related to fundamental information units. Experiment: Design high-precision interferometry experiments to detect minute variations in gravitational fields that correspond to these proposed information quanta. Impact: This could provide the first experimental evidence linking quantum gravity to information theory, potentially bridging quantum mechanics and general relativity. This framework will aim to link quantum information theory with gravitational effects at the Planck scale. 1. Fundamental Assumptions: a) Information is quantized at the Planck scale. b) Spacetime has a discrete structure at the quantum level. c) Gravity emerges from the dynamics of quantum information. 2. Mathematical Formulation: Define an information quantum (infobit) ι as: ι = √(ℏG/c³) = l_P Where l_P is the Planck length, ℏ is the reduced Planck constant, G is the gravitational constant, and c is the speed of light. 3. Information-Spacetime Relationship: Propose a relationship between information content and spacetime curvature: R_μν - (1/2)Rg_μν + Λg_μν = (8πG/c⁴)T_μν(I) Where R_μν is the Ricci curvature tensor, R is the scalar curvature, g_μν is the metric tensor, Λ is the cosmological constant, and T_μν(I) is an information stress-energy tensor. 4. Information Stress-Energy Tensor: Define T_μν(I) as: T_μν(I) = (ℏc/l_P⁴)(∂_μI ∂_νI - (1/2)g_μν(∂I)²) Where I is the information field, a scalar field representing the distribution of information in spacetime. 5. Quantized Geodesic Equation: Propose a quantized version of the geodesic equation: d²x^μ/dτ² + Γ^μ_νρ (dx^ν/dτ)(dx^ρ/dτ) = (ℏ/m²c)∇^μI Where Γ^μ_νρ are the Christoffel symbols, τ is proper time, m is the mass of a test particle, and ∇^μI represents the covariant derivative of the information field. 6. Information-Mass Equivalence: Postulate an equivalence between mass and information: m = (ℏ/c²)I This suggests that mass can be viewed as a measure of localized information content. 7. Quantum Information Metric: Define a quantum information metric: ds² = g_μν dx^μ dx^ν + (l_P²/ℏ²)dI² This metric incorporates both spacetime intervals and changes in information content. 8. Information Uncertainty Principle: Propose an information-based uncertainty principle: ΔI · Δτ ≥ ℏ/2 Where ΔI is the uncertainty in information content and Δτ is the uncertainty in proper time. 9. Predictions: a) Spacetime Foam: At the Planck scale, spacetime should exhibit quantum fluctuations with amplitude ~l_P and frequency ~c/l_P. b) Information-Induced Gravity: Regions of high information density should produce measurable gravitational effects. c) Quantized Black Hole Entropy: The entropy of a black hole should be quantized in units of ln(2), reflecting the discrete nature of information: S_BH = k ln(2) · (A/4l_P²) Where A is the area of the black hole's event horizon. d) Information Loss Paradox Resolution: Information is conserved in black hole evaporation due to the fundamental nature of the information field. 10. Experimental Implications: a) Gravitational Wave Spectrum: Predict a characteristic spectrum of high-frequency gravitational waves due to Planck-scale information dynamics. b) Vacuum Energy Fluctuations: The vacuum energy should exhibit quantized fluctuations related to the information content of space. c) Quantum Gravity Corrections: Predict specific corrections to the gravitational force at very short distances due to information quantization. This theoretical framework provides a mathematical foundation for linking quantum information theory with gravitational effects. It offers several testable predictions and potential resolutions to long-standing problems in quantum gravity.
Experimental Design: Advanced Quantum Gravity Interferometer (AQGI) 1. Principle: The experiment will use an ultra-sensitive interferometer to detect minute variations in spacetime structure caused by information quanta. It will combine elements of gravitational wave detectors with quantum optics techniques. 2. Setup Components: a) Laser Source: - Type: Frequency-stabilized laser - Wavelength: 1064 nm - Power: 200W - Stability: 10^-15 over 100 seconds b) Beam Splitter: - Type: 50:50 non-polarizing beam splitter - Material: Fused silica with ultra-low absorption coating c) Mirrors: - Type: Ultra-high reflectivity mirrors (99.999%) - Material: Fused silica substrate with multi-layer dielectric coating - Mass: 40 kg each - Temperature: Cooled to near absolute zero (10 mK) d) Fabry-Pérot Cavities: - Length: 4 km each arm - Finesse: >10,000 e) Vacuum System: - Pressure: <10^-9 Torr - Material: Stainless steel tubes f) Vibration Isolation: - Multi-stage pendulum suspension for mirrors - Active and passive seismic isolation systems g) Quantum Squeezed Light Source: - 10 dB of squeezing at 1064 nm h) Cryogenic Systems: - Dilution refrigerators to cool mirrors and other critical components i) Data Acquisition System: - Sampling rate: 100 kHz - Resolution: 24-bit 3. Experimental Protocol: a) Initialization: - Stabilize laser and bring all systems to operational temperature - Engage all vibration isolation systems - Achieve and maintain high vacuum b) Measurement: - Split laser beam and direct into two perpendicular arms - Use Fabry-Pérot cavities to increase effective arm length - Recombine beams and measure interference pattern - Inject squeezed light to reduce quantum noise - Continuously record data for extended periods (>1 year) c) Calibration: - Regularly calibrate system using known gravitational signals (e.g., tides, Earth's rotation) - Perform null tests to check for systematic errors 4. Signal Extraction: a) Expected Signal: - Planck-scale spacetime variations should produce a characteristic pattern of phase shifts in the interferometer - Predicted amplitude: ~10^-22 m over 4 km baseline - Frequency range: 10^3 - 10^5 Hz b) Data Analysis: - Use matched filtering techniques to search for predicted signal patterns - Employ machine learning algorithms to identify subtle correlations - Perform extensive statistical analysis to quantify significance of any detected signals 5. Error Mitigation: a) Thermal Noise: - Use cryogenic cooling to minimize thermal motion of mirrors - Employ low-loss materials to reduce mechanical dissipation b) Seismic Noise: - Implement multi-stage vibration isolation - Use array of seismometers for active noise cancellation c) Quantum Noise: - Utilize squeezed light to reduce shot noise at high frequencies - Optimize optical power to balance radiation pressure noise and shot noise d) Gravitational Gradients: - Monitor local mass distributions - Use gradiometers to measure and subtract gravitational gradient noise 6. Sensitivity and Resolution: - Target strain sensitivity: h ~ 10^-24 / √Hz at 1000 Hz - Able to resolve displacements of ~10^-21 m over 4 km baseline 7. Duration and Data Collection: - Initial run: 1 year of continuous data collection - Data storage: ~1 petabyte of raw data expected 8. Complementary Measurements: - Atomic clocks to measure potential variations in the local passage of time - Precision accelerometers to detect any anomalous accelerations 9. Budget and Resources: - Estimated cost: $500 million - Team: 200+ scientists, engineers, and technicians - Timeline: 5 years for construction, 1 year for initial data collection 10. Ethical Considerations: - Ensure all safety protocols for high-power lasers and cryogenics - Develop plan for responsible use of significant public resources This experimental design represents a significant technological challenge, pushing the boundaries of current precision measurement techniques. It combines elements from gravitational wave detectors, quantum optics, and ultra-low temperature physics to create an instrument capable of probing the fundamental structure of spacetime at the smallest scales. The experiment is designed to be sensitive enough to detect the minute spacetime variations predicted by our information-based quantum gravity theory. If successful, it could provide the first experimental evidence for quantized spacetime and open up a new era in experimental quantum gravity research.
Data Analysis Protocol for AQGI 1. Data Preprocessing: a) Filtering: - Apply band-pass filters to focus on the frequency range of interest (10³ - 10⁵ Hz) - Use adaptive filtering techniques to remove known noise sources (e.g., power line frequencies) b) Calibration: - Apply calibration factors to convert raw data into physical units - Correct for any time-dependent variations in detector sensitivity c) Segmentation: - Divide the continuous data stream into overlapping segments (e.g., 1-second segments with 50% overlap) - Apply Tukey windows to reduce edge effects 2. Noise Characterization: a) Power Spectral Density (PSD) Estimation: - Compute time-dependent PSDs using Welch's method - Track variations in the noise floor over time b) Coherence Analysis: - Perform coherence tests between different channels to identify correlated noise sources c) Environmental Monitoring: - Correlate detector output with environmental sensors (seismometers, magnetometers, etc.) - Create vetoes for times of known environmental disturbances 3. Signal Extraction: a) Matched Filtering: - Develop a bank of template waveforms based on our theoretical predictions - Perform matched filtering of the data against these templates - Calculate signal-to-noise ratios (SNRs) for potential detections b) Excess Power Searches: - Conduct time-frequency analysis using short Fourier transforms - Identify clusters of excess power that could indicate a signal c) Machine Learning Techniques: - Train deep neural networks on simulated signals to identify subtle patterns - Apply trained networks to real data to flag potential events 4. Statistical Analysis: a) Background Estimation: - Use time-slides to estimate the background of false positives - Construct cumulative distribution functions of background events b) Significance Calculation: - Calculate the false alarm rate for each candidate event - Compute p-values and convert to sigma levels of confidence c) Multiple Testing Correction: - Apply Bonferroni correction or false discovery rate methods to account for multiple hypothesis testing 5. Systematic Error Analysis: a) Injection Studies: - Perform hardware and software injections of simulated signals - Assess the recovery efficiency and parameter estimation accuracy b) Null Tests: - Analyze data with one arm of the interferometer blocked - Perform analyses on artificially time-shifted data streams c) Bias Estimation: - Use Bayesian inference to estimate potential biases in parameter recovery - Conduct Markov Chain Monte Carlo simulations to explore parameter space 6. Specific Quantum Gravity Signal Analysis: a) Planck-Scale Fluctuations: - Search for characteristic high-frequency "spacetime foam" signatures - Analyze the spectrum of fluctuations and compare to theoretical predictions b) Information-Induced Gravity Effects: - Look for correlations between signal strength and predicted regions of high information density - Analyze any detected signals for evidence of quantized gravitational effects c) Holographic Noise: - Search for correlated noise that could indicate holographic fluctuations at the Planck scale - Analyze the spatial correlations of any detected signals 7. Cross-Validation: a) Multi-Detector Consistency: - Compare results with other gravitational wave detectors (e.g., LIGO, Virgo) - Analyze data from complementary experiments (e.g., atomic clocks, precision accelerometers) b) Blind Analysis: - Implement a blind analysis protocol to avoid bias - Unveil the full dataset only after analysis methods are frozen 8. Long-Term Correlation Studies: a) Annual Modulation: - Search for any annual modulation in the signal that could indicate coupling to Earth's orbit - Analyze long-term trends in the data b) Sidereal Time Analysis: - Perform searches based on sidereal time to look for any directional dependence of quantum gravity effects 9. Data Quality and Detector Characterization: a) Continuous Monitoring: - Implement real-time data quality monitors - Develop automated alerts for anomalous detector behavior b) Detector Modeling: - Maintain and update a detailed computer model of the detector - Use the model to predict and understand detector response to various stimuli 10. Reporting and Open Data: a) Collaboration Review: - Establish an internal review process for all analyses and results - Require multiple independent analyses for any potential discovery claim b) Public Data Release: - Prepare cleaned and calibrated data for public release - Provide detailed documentation and analysis tools to the scientific community 11. Continuous Improvement: a) Feedback Loop: - Use insights from data analysis to inform detector improvements - Continuously refine analysis techniques based on accumulated experience b) Simulations: - Develop increasingly sophisticated simulation capabilities - Use simulations to test and improve analysis pipelines This comprehensive Data Analysis Protocol is designed to extract the maximum amount of information from the AQGI data while rigorously controlling for potential sources of error or bias. It combines techniques from gravitational wave astronomy, particle physics, and quantum information theory to address the unique challenges of searching for quantum gravity effects.
Good luck with this
Which is the best book for quantum field theory sir?
Hi there, it depends on what you are looking for and how familiar you are with the topic already. I like Jakob Schwichtenberg's book for beginners on the topic. Peskin & Schroeder is also a favorite of mine but its a bit difficult to go through if you are new to QFT.
nice video
Kerr to Schwarzschild to white transition during the thermal death
Great
So basically what you're saying is that by adding the Lagrangian related to the photon field to the Lagrangian related to the Dirac field we can get a locally invariant form of the Dirac Lagrangian. So photon field is required in order to have the local invariance holding for the Dirac field. Nice - so we need photons (photon field) in order to make the Lagrangian corresponding to spin 1/2 particles locally invariant, right?
If I’m understanding your question correctly, yes. We need photon fields to have the local invariance. My apologies for the late response. Been busy with PhD stuff.
@CryoScience Thanks for another great video, but one quick point and a question - what justifies the substitution of ck in for omega at 17:33 ? The subsequent equation suggests that m = 0 (which means this reduces to the non-dispersive case). Also, the plot of c vs. k around 20:35 shouldn't be linear. Many thanks for the series!
Talk about polluting science. I believe the term safe and effective a couple years ago set the science community and of course the medical community back very far. When she with us somebody blatantly lying to you tend not to believe anything they say.