Falling in love with physics again đŸ˜»

Looking at the raychaudhuri equation. When gravity causes matter to converge into a place of smallness (Black Holes) :hole:

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(FLRW Metric) basically means in expanding universe conditions

Biology,chemistry, and physics weren’t subjects I was naturally good at, so I made little effort at them. Looking back my mindset sucked,big time.

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You did endure something I didn’t though. If I remember correctly. So really, you can’t fault yourself, you kind of had to deal with something more pressing

I don’t even have ability for physics, I just do what Feynman used to say “keep thinking”

Th second part of the equations second part is about density combined with gravity

The first part is about Hubbles constants I believe

Gonna post here instead for physics stuff instead of say anything. It will free up the say anything posts from being OCD’ed into academic content - I can appreciate that may get annoying on that thread

I was very poor at geometry.. Via Copilot-

Geometry provides the language and framework through which physics describes the structure of space, time, and matter. It is not just a mathematical tool but a fundamental way of expressing physical laws, from Newtonian mechanics to Einstein’s relativity and modern quantum theories.


:milky_way: Geometry as the Foundation of Physical Theories

  • Classical Mechanics: Geometry helps describe trajectories, rotations, and forces acting on bodies. The shapes and symmetries of systems determine how they behave.

  • Electromagnetism: Maxwell’s equations are deeply geometric, involving vector fields and flux through surfaces.

  • General Relativity: Gravity is no longer a force but the curvature of spacetime. Einstein used Riemannian geometry to show how matter and energy bend space and time.

  • Quantum Physics: Concepts like spinors, gauge fields, and phase spaces rely on advanced geometry (Lie groups, fiber bundles, topology) to describe particle interactions.


:triangular_ruler: Key Geometric Concepts in Physics

  • Curved Space: Essential for explaining gravity and cosmology. Flat geometry cannot capture how massive objects warp spacetime.

  • Manifolds: Generalizations of surfaces (like spheres or tori) used to model higher-dimensional spaces in relativity and string theory.

  • Symmetry & Group Theory: Geometric symmetries underpin conservation laws (Noether’s theorem links symmetry to energy, momentum, and charge conservation).

  • Topology: Explains phenomena like the quantum Hall effect, superconductivity, and even particle classification.


:counterclockwise_arrows_button: Geometry and Physics as a Two-Way Street

Interestingly, physics also influences geometry. For example:

  • General relativity inspired new branches of differential geometry.

  • Quantum field theory has driven advances in topology and knot theory.

  • Modern research explores geometry’s role in unifying physics, with string theory and gauge theories relying on complex geometric structures.


:puzzle_piece: Why Geometry Matters

  • Visualization: Geometry makes abstract physics comprehensible by giving it shape and structure.

  • Prediction: Geometric models allow precise predictions of physical behavior, from planetary motion to black hole dynamics.

  • Unification: Geometry acts as a common language across physics, linking mechanics, relativity, and quantum theory into a coherent framework.


In short: geometry is not just a backdrop for physics—it is physics. The universe itself can be understood as a geometric structure, with physical laws emerging from the way that structure bends, twists, and connects.

Since you’re deeply engaged in genetic genealogy and mapping, you might appreciate how geometry in physics plays a similar role to triangulation in DNA analysis: it provides the spatial framework that makes invisible relationships visible and testable. Would you like me to create a compact diagram showing how different branches of physics map onto geometric concepts?

Sources:

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Yeah, I don’t disagree that physics is just geometry in motion. Scaled up a lot and complicated to many degrees but it’s still geometric

When I think of geometry I always think geometric progressions - a form of mathematical structure or pattern

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It was just a semi educated guess, on my part, about the connection between physics and geometry.

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If anyone studies either of them properly, it does become apparent. Otherwise the information is widely known on the internet, Stephen Hawking for one. Famously said “physics is great not because of equations but the visual element” (paraphrased quotation)

Newtonian mechanics or classical mechanics chapters im starting now

Tupac and physics give me the same vibe, and idk why - they couldn’t be more different lol