Physics, Yes. But more?

STEM Symposium (Physics+Math)

Project #1: Black Hole and the Riemann Curvature Tensor

As a Black Hole deep enthusiast, I conducted an independent research on the black hole and the Feymann curvature tensor in calc, which describes black hole’s intrinsic space-time curvature. I also studied Riemann Curvature tensor’s application in 1D, 2D, 3D, and 4D dimensions, and the difference between intrinsic and extrinsic curvature. This project made me realized the true meaning of interdisciplanery study: Physics contains real life applications of math and therefore deepens my understanding of math, and math in turn can be a useful tool in interpreting interesting physics phenomenons.

 

Project 2: Using Multivariable Calculus to Find a Relationship Between Leaf Surface Area and Humidity of the Environment

This project aims at finding the surface area over volume ratio of different type of leaves using integration method in multivariable calculus. The ratio indicate the efficiency of transpiration, and leaves living in different environment have distinct surface area to volume ratio. My partner and I used leave samples from three humidity environment: desert, temperate forest, and rain forest. The graph we get shows a directly proportional relationship between the surface area to volume ratio and humidity of different environments (the more humid a place is, the leaves surface area to volume ratio should be larger, because it can effieciently letting the water evaporates, and vice versa).

Physics in the Medical fields

The lifelong enemy of feet: Gravity (feet stress monitor)

Last summer, I worked at Sanfine International Hospital as an intern.

  • I helped doctors to conduct patients’ mechanical analysis on their feet through a stress monitor to make accurate diagnosis, and recorded the pressure of static & dynamic equilibrium under crouching & standing positions to build proper medical rehabilitation insoles. Sometimes I worked as a translator, which enhanced my communication skills. I really enjoy this work because I saw how physics are closely related to medical fields, and how physics can benefit humans through different ways.
  • Pressure mapping is a process that involves the use of specialized sensors to measure the distribution of pressure across the surface of the foot, particularly when standing, walking, or running. It is widely used in biomechanics, footwear design, sports science, and medical diagnostics.
  • A foot pressure sensor is composed of two equipments: a pressure mat and a large screen that shows all the data. The pressure mat is a flat surface embedded with pressure sensors, commonly used for static and dynamic foot pressure analysis.
 
The detailed explanation of the data on the screen: 
  • 2D or 3D Pressure Map: A visual representation of the foot showing how pressure is distributed across the plantar surface. The map uses color coding to represent pressure intensity:
    • Blue/green areas: Indicate lower pressure zones, such as the arch or lighter weight-bearing areas.
    • Yellow/red areas: Highlight high-pressure zones, often at the heel or ball of the foot.
    • It helps identify areas of excessive pressure that may lead to discomfort, injuries, or conditions like ulcers (in diabetic patients).
  • Center of Pressure (COP)
    • COP Pathline: This is a line or path that represents the movement of the center of pressure over time as you walk or stand.
    • It shows how weight shifts and transitions from heel to toe during walking.
    • A smooth COP line indicates normal foot mechanics, while deviations (e.g., excessive lateral or medial movement) may indicate gait abnormalities such as overpronation or supination.
  • Center of Gravity (COG)
    • COG Line/Trajectory: In dynamic testing, the tool can show how the center of gravity moves in relation to the foot during gait or balance activities.
    • This line typically shifts as weight moves from the heel to the ball of the foot and toes during walking.
      Use: Analyzing the center of gravity helps in determining postural control, balance, and stability.
    • Postural sway: In standing positions, it can measure how much the center of gravity moves, which is important for balance assessments.
  • Force Distribution
    • Force vs. Time Graphs: These graphs show how the force generated by the foot is distributed over time during each phase of walking (heel strike, midstance, toe-off).
    • Left vs. Right Foot Comparison: Many systems allow you to compare force distribution between the left and right feet to detect imbalances that may cause injury or discomfort.
    • It identifies asymmetries that may be present due to injury, surgery, or improper biomechanics.
Learning...Thinking...
Analyzing data and graphs
Me trying the feet pressure sensor

MRI Reasoning

The MRI machine at Sanfine International Hospital
Computer used to control the machine and collect data

An MRI scan uses powerful magnetic fields, radio waves, and a computer to generate detailed images of soft tissues, organs, and other structures inside the body. It’s particularly useful for examining the brain, spine, joints, and soft tissues (like muscles and ligaments) that don’t show up well on X-rays or CT scans.

MRI relates to quantum mechanics through nuclear spin. Protons, like those in hydrogen atoms, behave like tiny magnets due to their quantum mechanical property called spin. When placed in a magnetic field, these spins align either with or against the field, creating two distinct energy states.

When an MRI machine applies a radiofrequency pulse, it flips these protons between energy states, causing them to absorb and later release energy. The MRI detects this released energy to create detailed images of tissues. This process of energy absorption, resonance, and relaxation is governed by the quantum behavior of atomic nuclei.

The MRI machine detects these signals to create detailed images.

Physics and Engineering

I led a group of four peers in designing a roller coaster in 9th grade. We collaborated to draft blueprint based on calculation of conversion among elastic, gravitational, and kinetic potential. Then, we found a creative way to imitate running with marbles & springs. Ultimately, we gave it to the kindergardon kids to spark their creativity and let them have a fun and enjoyable experience.

About us

A high schooler who loves physics and astronomy more than a reasonable person should.

Black Hole Enthusiast

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Contact

Instagram: jenny_66q