13. Planck length. The length scale associated with the need for quantum gravity:
October 22, 2024 at 6:26 PM
13. Planck length. The length scale associated with the need for quantum gravity:
Vardan Oganesyan: The Ekeland--Hofer--Zehnder Capacity of rotated $L_p$-Ellipsoid https://arxiv.org/abs/2609.37794 https://arxiv.org/pdf/2609.37794 https://arxiv.org/html/2609.37794
September 30, 2026 at 6:50 AM
Vardan Oganesyan: The Ekeland--Hofer--Zehnder Capacity of rotated $L_p$-Ellipsoid https://arxiv.org/abs/2609.37794 https://arxiv.org/pdf/2609.37794 https://arxiv.org/html/2609.37794
A black hole has entropy proportional to its surface area, not its volume, which suggests the information content of a region is set by its boundary.
August 18, 2026 at 11:00 PM
A black hole has entropy proportional to its surface area, not its volume, which suggests the information content of a region is set by its boundary.
#ContractionTracks
#MusicChallenge
Free Day 2
Incidentally, It's Over - Mils Lofgren
youtu.be/l_p-ZGHxcWk?...
#MusicChallenge
Free Day 2
Incidentally, It's Over - Mils Lofgren
youtu.be/l_p-ZGHxcWk?...
Incidentally... It's Over (Live)
Provided to YouTube by recordJetIncidentally... It's Over (Live) · Nils LofgrenLive From Tower Theater, Philadelphia, Pa, Sep 6, 1976℗ Nils LofgrenReleased o...
youtu.be
December 31, 2023 at 10:00 AM
#ContractionTracks
#MusicChallenge
Free Day 2
Incidentally, It's Over - Mils Lofgren
youtu.be/l_p-ZGHxcWk?...
#MusicChallenge
Free Day 2
Incidentally, It's Over - Mils Lofgren
youtu.be/l_p-ZGHxcWk?...
Hi L_P. Interesting result with no yellows used. Here's an official Club 6 membership card for you. I think they're having some sort of a shindig today so don't miss it! 🥳
Club 6
🦜🦜🦜🦜🦜🦜
#Wordle_NYT
Club 6
🦜🦜🦜🦜🦜🦜
#Wordle_NYT
December 18, 2025 at 5:32 PM
Hi L_P. Interesting result with no yellows used. Here's an official Club 6 membership card for you. I think they're having some sort of a shindig today so don't miss it! 🥳
Club 6
🦜🦜🦜🦜🦜🦜
#Wordle_NYT
Club 6
🦜🦜🦜🦜🦜🦜
#Wordle_NYT
Me: I want to sleep.
Brain: I want to ponder the relationship between Planck time and Planck length, and how the limit c can be thought of as simply 1 l_p/t_p
Brain: I want to ponder the relationship between Planck time and Planck length, and how the limit c can be thought of as simply 1 l_p/t_p
August 4, 2025 at 8:19 AM
Me: I want to sleep.
Brain: I want to ponder the relationship between Planck time and Planck length, and how the limit c can be thought of as simply 1 l_p/t_p
Brain: I want to ponder the relationship between Planck time and Planck length, and how the limit c can be thought of as simply 1 l_p/t_p
just realized i have no idea what l_p (space) stands for
June 2, 2024 at 1:41 AM
just realized i have no idea what l_p (space) stands for
Drappole #Vtuber #Vtubers #Discord #RiotGames #Porn #Hentai #twitchtv #twitch #TwitchStreaming #TwitchStreamers #twitchaffiliate #TikTok #Trap #Drap #Drappola #LeonardoPalc0 #L_P #KickStreaming #Kick #streaming #Twitterx #bluesky #Rumble #YouTube #trap #antivtuber #Virburattinaio #Virpuppeteer
September 2, 2025 at 6:15 PM
@perimeterinstitute.ca GR fails at Planck scale (r_s ∼ L_p). We propose Φ = -GM/R² [1 - (L_p/r_s)²], a screening factor from quantum metric fluctuations δg ∼ (L_p/r_s)². Solar BHs: f ≈ 1-10^{-77}; Planck BHs: f < 0 (repulsive). Undetectable today, novel Planck phenomenology. What do you think?
March 7, 2026 at 5:35 PM
@perimeterinstitute.ca GR fails at Planck scale (r_s ∼ L_p). We propose Φ = -GM/R² [1 - (L_p/r_s)²], a screening factor from quantum metric fluctuations δg ∼ (L_p/r_s)². Solar BHs: f ≈ 1-10^{-77}; Planck BHs: f < 0 (repulsive). Undetectable today, novel Planck phenomenology. What do you think?
soundcloud.com/leonardo-pal... #LeonardoCollegianiPalc0 #ProfondoCatenrosa #KickStreaming #Kick #Twitterx #bluesky #Rumble #SoundCloud #Istagram #YouTube #art #arte #music #musica #UomoTrappola #TrapMan #ImperatoreTagliola #BeartrapEmperor #Tarot #TrapKing
Best Fast Trap Man - AI e Leonardo Collegiani Palc0
LeonardoCollegianiPalc0-L_P, Leonardo Collegiani Palc0 L P, 1992, Italia Toscana Costa Etrusca Castagneto . Filosofo metafisico ultimico, artista virartico artigiano vibambolaio vdoller e virburattin
soundcloud.com
September 23, 2025 at 7:00 PM
Digidraps #Trap #Drappola #Drap #Vtubers #Discord #RiotGames #twitchtv #twitch #TwitchStreamers #TikTok #Truth #Lie #LeonardoPalc0 #L_P #KickStreaming #Kick #streaming #Twitterx #bluesky #Rumble #YouTube #antivtubers #Vdoller #Virburattinaio #UomoTrappola #ImperatoreTagliola #book #EccitanteSegatura
September 2, 2025 at 6:38 PM
Digidraps #Trap #Drappola #Drap #Vtubers #Discord #RiotGames #twitchtv #twitch #TwitchStreamers #TikTok #Truth #Lie #LeonardoPalc0 #L_P #KickStreaming #Kick #streaming #Twitterx #bluesky #Rumble #YouTube #antivtubers #Vdoller #Virburattinaio #UomoTrappola #ImperatoreTagliola #book #EccitanteSegatura
Jinghao Huang, Marius Junge, Fedor Sukochev, Dmitriy Zanin: Isometric embeddings of noncommutative $L_p$-spaces into noncommutative symmetric spaces https://arxiv.org/abs/2609.27827 https://arxiv.org/pdf/2609.27827 https://arxiv.org/html/2609.27827
September 24, 2026 at 6:49 AM
Jinghao Huang, Marius Junge, Fedor Sukochev, Dmitriy Zanin: Isometric embeddings of noncommutative $L_p$-spaces into noncommutative symmetric spaces https://arxiv.org/abs/2609.27827 https://arxiv.org/pdf/2609.27827 https://arxiv.org/html/2609.27827
E L_P A S A D O
#blender #blend3d #3d #mattepainting #cyberpunk #concept #conceptart #posterdesign #desing #art #digitalart
#blender #blend3d #3d #mattepainting #cyberpunk #concept #conceptart #posterdesign #desing #art #digitalart
April 12, 2025 at 4:08 PM
E L_P A S A D O
#blender #blend3d #3d #mattepainting #cyberpunk #concept #conceptart #posterdesign #desing #art #digitalart
#blender #blend3d #3d #mattepainting #cyberpunk #concept #conceptart #posterdesign #desing #art #digitalart
Arup Chattopadhyay, Cl\'ement Coine, Saikat Giri, Chandan Pradhan: Noncommutative $L_p$-differentiability and trace formulae https://arxiv.org/abs/2602.10694 https://arxiv.org/pdf/2602.10694 https://arxiv.org/html/2602.10694
February 12, 2026 at 6:39 AM
Arup Chattopadhyay, Cl\'ement Coine, Saikat Giri, Chandan Pradhan: Noncommutative $L_p$-differentiability and trace formulae https://arxiv.org/abs/2602.10694 https://arxiv.org/pdf/2602.10694 https://arxiv.org/html/2602.10694
soundcloud.com/leonardo-pal... #LeonardoCollegianiPalc0 #ProfondoCatenrosa #ImperatoreTagliola #KickStreaming #Kick #Twitterx #bluesky #Rumble #SoundCloud #Istagram #YouTube #art #writing #music #Virartica #Vdoller #Vibambolaio #Virburattinaio #Virpuppeteer #antivtuber #twitch
Imperatore Tagliola Catenmorza ( Prototipo ) - AI e Leonardo Collegiani Palc0
LeonardoCollegianiPalc0-L_P, Leonardo Collegiani Palc0 L P, 1992, Italia Toscana Costa Etrusca Castagneto . Filosofo metafisico ultimico, artista virartico artigiano vibambolaio vdoller e virburattin
soundcloud.com
October 1, 2025 at 4:37 PM
Theorem: Let f : D --> C be holomorphic such that sup{||f_r||_{L_p} : 0 < r < 1} < ∞. Then {f_r}_r converges pointwise to some function L^p function T almost everywhere pointwise, and also in L_p norm.
So all you need is holomorphy on D and the (radial) limits to T exist at "most" points!
So all you need is holomorphy on D and the (radial) limits to T exist at "most" points!
October 25, 2024 at 3:47 PM
Theorem: Let f : D --> C be holomorphic such that sup{||f_r||_{L_p} : 0 < r < 1} < ∞. Then {f_r}_r converges pointwise to some function L^p function T almost everywhere pointwise, and also in L_p norm.
So all you need is holomorphy on D and the (radial) limits to T exist at "most" points!
So all you need is holomorphy on D and the (radial) limits to T exist at "most" points!
if you missed Pi Day on Saturday, don’t sweat it! π is the minimum value of pi in l_p space (p=2 gives 3.14… ). What does this mean in practice? Eat a round* dessert any day this month and declare you’re celebrating pi day for a different value of p
*definition of round may vary
#MathSky
*definition of round may vary
#MathSky
π is the Minimum Value for Pi on JSTOR
C. L. Adler, James Tanton, π is the Minimum Value for Pi, The College Mathematics Journal, Vol. 31, No. 2 (Mar., 2000), pp. 102-106
www.jstor.org
March 16, 2026 at 4:04 PM
if you missed Pi Day on Saturday, don’t sweat it! π is the minimum value of pi in l_p space (p=2 gives 3.14… ). What does this mean in practice? Eat a round* dessert any day this month and declare you’re celebrating pi day for a different value of p
*definition of round may vary
#MathSky
*definition of round may vary
#MathSky
＜#解析学の参考書＞
「非線形偏微分方程式」(朝倉書店2012，柴田・久保)
https://www.asakura.co.jp/deta...
4章続
ℝ^n でのStokes作用素に対する最大正則性原理
W_p^1 (ℝ, J_q (ℝ^n))∩L_p (ℝ, W_q^2 (ℝ^n)^n)の元の時間に関する正則性
Ŵ_q^1 (ℝ^n) でC_0^∞ (ℝ^n) が稠密であることについて
「非線形偏微分方程式」(朝倉書店2012，柴田・久保)
https://www.asakura.co.jp/deta...
4章続
ℝ^n でのStokes作用素に対する最大正則性原理
W_p^1 (ℝ, J_q (ℝ^n))∩L_p (ℝ, W_q^2 (ℝ^n)^n)の元の時間に関する正則性
Ŵ_q^1 (ℝ^n) でC_0^∞ (ℝ^n) が稠密であることについて
August 21, 2026 at 9:03 PM
＜#解析学の参考書＞
「非線形偏微分方程式」(朝倉書店2012，柴田・久保)
https://www.asakura.co.jp/deta...
4章続
ℝ^n でのStokes作用素に対する最大正則性原理
W_p^1 (ℝ, J_q (ℝ^n))∩L_p (ℝ, W_q^2 (ℝ^n)^n)の元の時間に関する正則性
Ŵ_q^1 (ℝ^n) でC_0^∞ (ℝ^n) が稠密であることについて
「非線形偏微分方程式」(朝倉書店2012，柴田・久保)
https://www.asakura.co.jp/deta...
4章続
ℝ^n でのStokes作用素に対する最大正則性原理
W_p^1 (ℝ, J_q (ℝ^n))∩L_p (ℝ, W_q^2 (ℝ^n)^n)の元の時間に関する正則性
Ŵ_q^1 (ℝ^n) でC_0^∞ (ℝ^n) が稠密であることについて
Lovely. I wonder if embodied AI cash wandering around your home is going to disrupt us (music sounds rather familiar!) www.youtube.com/watch?v=L_p-...
Sleeping Savings | On the sofa
YouTube video by Flagstone Group
www.youtube.com
February 27, 2026 at 1:13 PM
Lovely. I wonder if embodied AI cash wandering around your home is going to disrupt us (music sounds rather familiar!) www.youtube.com/watch?v=L_p-...
The classical norms (L_infty, L_p) verify that if 0 ≤ u ≤ v pointwise then |u| ≤ |v|, but this is not true in general.
Unsure how this property is called: "the norm is compatible with the ordering" ?
Unsure how this property is called: "the norm is compatible with the ordering" ?
This is not true in general: let a=(0,0) in ℝ² and b=(1,0) and c=(1,1); now let K be a closed (filled) ellipsoid centered at a=(0,0) containing c but not b, and define a norm as the gauge of K (i.e., |x| = inf {t∈ℝ : x∈tK}), so K is the unit ball of |•|. Then |c|≤1 but |b|>1 despite b≤c pointwise.
July 22, 2026 at 7:19 AM
The classical norms (L_infty, L_p) verify that if 0 ≤ u ≤ v pointwise then |u| ≤ |v|, but this is not true in general.
Unsure how this property is called: "the norm is compatible with the ordering" ?
Unsure how this property is called: "the norm is compatible with the ordering" ?
Wen Ai, Deping Ye, Baocheng Zhu: The $L_p$ Minkowski problem for $C$-close sets: existence and continuity https://arxiv.org/abs/2609.23962 https://arxiv.org/pdf/2609.23962 https://arxiv.org/html/2609.23962
September 22, 2026 at 6:49 AM
Wen Ai, Deping Ye, Baocheng Zhu: The $L_p$ Minkowski problem for $C$-close sets: existence and continuity https://arxiv.org/abs/2609.23962 https://arxiv.org/pdf/2609.23962 https://arxiv.org/html/2609.23962
lnk.bio/leonardo_col... #LeonardoCollegianiPalc0 #LeonardoPalc0 #L_P #KickStreaming #Kick #streaming #streamer #Twitterx #bluesky #Rumble #YouTube #antivtubers #Truth #gaming #Vdoller #art #Virartica #Virartic #Virburattinaio #UomoTrappola #ImperatoreTagliola #EccitanteSegatura
leonardo_collegiani_palc0 Lnk.Bio · link in bio
leonardo_collegiani_palc0 Lnk.Bio · link in bio - Profile and social media links for leonardo_collegiani_palc0
lnk.bio
September 2, 2025 at 7:21 PM
Na Fu, Jian-Ping Sun, Bin Chen, Ya-Hong Zhao: The solvability of the $L_p$-dual mixed Euclidean-Gauss Minkowski problem https://arxiv.org/abs/2609.23588 https://arxiv.org/pdf/2609.23588 https://arxiv.org/html/2609.23588
September 22, 2026 at 6:47 AM
Na Fu, Jian-Ping Sun, Bin Chen, Ya-Hong Zhao: The solvability of the $L_p$-dual mixed Euclidean-Gauss Minkowski problem https://arxiv.org/abs/2609.23588 https://arxiv.org/pdf/2609.23588 https://arxiv.org/html/2609.23588
🎤 The Troll Patrol is LIVE! 🎧
🚨 Content Warning, f***ers 🚨
The Most Absurd News, Politics And Current Events On The Internet
www.youtube.com/watch?v=-l_p...
twitch.tv/justinfreakin
#news #politics #leftisbest #reaction
🚨 Content Warning, f***ers 🚨
The Most Absurd News, Politics And Current Events On The Internet
www.youtube.com/watch?v=-l_p...
twitch.tv/justinfreakin
#news #politics #leftisbest #reaction
Maxwell Plays Games For A Pardon / US To Attack Iran By EOD?
YouTube video by JustinFREAKIN
www.youtube.com
February 9, 2026 at 8:54 PM
🎤 The Troll Patrol is LIVE! 🎧
🚨 Content Warning, f***ers 🚨
The Most Absurd News, Politics And Current Events On The Internet
www.youtube.com/watch?v=-l_p...
twitch.tv/justinfreakin
#news #politics #leftisbest #reaction
🚨 Content Warning, f***ers 🚨
The Most Absurd News, Politics And Current Events On The Internet
www.youtube.com/watch?v=-l_p...
twitch.tv/justinfreakin
#news #politics #leftisbest #reaction