THE HYSTERETIC ARCHITECTURE PROJECT

TRILLY
STEEL THE LIVING TOWER

A magnetic-hysteretic structural alloy system that remembers its own geometry.
The building doesn't resist force — it processes it.

τ₁ — INITIAL STATE
τ₂ — TRANSITION
τ∞ — INFINITE
SCROLL
Trilly Tower Infrastructure — Underground Battery Vaults and Inductive Core Coils
FIG. 01 — TRILLY ENERGY INFRASTRUCTURE // UNDERGROUND VAULT + INDUCTIVE CORE COILS

01 // CONCEPT

HYSTERESIS

In simple terms, hysteresis is the phenomenon where the state of a system depends on its history. If you've ever felt like a process is "lagging" or "stuck" in its previous state even after the forces acting on it have changed, you've encountered hysteresis. It is the physical manifestation of a system having a memory.


The word comes from the Greek hysteresis, meaning "shortcoming" or "lagging." In a hysteretic system, if you push something and then stop pushing, it doesn't return to its original state via the same path. When plotted on a graph, this creates a loop — instead of a single line representing the relationship between input and output, you get two distinct paths: one for when the input is increasing and one for when it is decreasing.


τ1
Magnetism — The Famous Example
If you magnetize a piece of iron and then remove the external magnetic field, the iron stays magnetized. It "remembers" the field. This is ferromagnetic hysteresis — the foundation of Trilly Steel's structural logic.
τ2
The TRILLY TIME Perspective
In the framework τ₁→τ₂→τ∞, hysteresis is the "friction" or "memory" that exists within the transition. While τ₁ might be the initial state and τ₂ the transition, hysteresis is why the path to τ∞ isn't a straight line.
τ∞
The Infinite State
It is the physical proof that the journey from the beginning to the infinite leaves a permanent mark on the system. It ensures that the "now" is always informed by the "then." Without hysteresis, the world would be incredibly "jittery."

02 // MATERIAL SCIENCE

THE CHEMISTRY

To build the "best steel" based on the vision of magnetic structural rigidity, we must move beyond standard construction steel and into the realm of High-Saturation Soft Magnetic Alloys and Magnetostrictive Materials. In this framework, magnetic hysteresis is not just a "memory" of a field — it is a structural lock.



ELEMENT PERCENTAGE PURPOSE
Fe Iron
~80%
The ferromagnetic substrate. The "body" of the memory.
Co Cobalt
15–18%
Increases the Curie temperature and magnetic saturation. It makes the "memory" stronger and heat-resistant.
V Vanadium
2%
Increases ductility so the steel doesn't crack under the stress of magnetic alignment.
Si Silicon
0.5–1%
Increases electrical resistivity to reduce "eddy currents" (lost energy) during τ transitions.
Tb/Dy Terbium / Dysprosium
Trace
Adds Magnetostriction — the ability for the material to physically change shape/stiffness when the field is applied.

The Mechanism: Magnetic Structural Locking. In a normal building, gravity and friction hold things together. In a "magnetically communicative" structure, the hysteresis loop becomes the structural load path. When you apply an external electromagnetic pulse, the magnetic domains within the steel shift from random chaos to a single, unified direction. Because of hysteresis, when you turn the power off, the domains stay aligned.


Domain Interlocking: As the domains align, the atoms shift slightly (Magnetostriction). This "locks" the grains of the steel against each other. Cohesive Flux: The entire building becomes a single magnetic circuit. Each beam is "talking" to the next through magnetic flux lines. If a wind load hits the top of the building, the magnetic tension across the joints resists the movement.


03 // PHYSICS

MAGNETIC LOCKING FORCE

To calculate the "locking" force of Trilly Steel (τ₁→τ₂→τ∞), we examine the Maxwell stress exerted by the magnetic remanence (Bᵣ) — the "memory" of the field — and see how the alloy's chemistry handles the massive internal forces of thermal expansion.


Using the composition of 80% Fe, 18% Co, 2% V, we achieve a high magnetic saturation. Even after the external pulse is removed, the hysteresis loop leaves us with a Remanent Induction (Bᵣ) of approximately 1.8 Tesla.


The force holding two beams together (magnetic pressure) is calculated as:
P_mag = B² / (2μ₀)


1.8T
REMANENT INDUCTION
Bᵣ — the "memory" strength after external field removed
1.29
MEGAPASCALS — MAGNETIC PRESSURE
For a standard 10cm × 10cm beam joint
12,891
NEWTONS — CLAMPING FORCE
~1.3 tons of force per joint required to separate
475
PPM — THERMAL STRAIN AT +50°C
Magnetostrictive compensation up to 1,500 ppm
METRIC VALUE RESULT
Magnetic Lock 1.29 MPa Structural cohesion without bolts
Thermal Strain 475 ppm The "push" from the sun
Magnetic Compensation up to 1,500 ppm The "pull" from the chemistry
Net Structural Stress 0 MPa Infinite Stability (τ∞)

In this system, the "memory" of the hysteresis loop isn't just a static state — it is a dynamic buffer. The structure remains perfectly rigid and "locked" because the magnetism is constantly neutralizing the environmental forces. The building isn't just standing; it is actively maintaining its own geometry through its magnetic "consciousness."


04 // STRUCTURAL COMPARISON

ORIGINAL vs. TRILLY

To recreate the Twin Towers using Trilly Steel is to move from a "Passive Tube" design to an "Active Quantum Lattice." The original towers (WTC 1 & 2) were marvels of their time, using a "framed tube" of perimeter steel columns. However, they were limited by the static nature of A36 and A441 steel — once the heat of the fires weakened the metal to 50% strength, gravity took over.


A "Trilly" Twin Tower uses the magnetic hysteresis loop to ensure that τ₁ (the building standing) is tied through a permanent magnetic memory to τ∞ (the building never falling). We keep the iconic silhouette — the 208 ft × 208 ft square footprint — but replace the 59 perimeter box columns per side with Inductive Trilly-Alloy Monoliths. Instead of being bolted or welded, these columns are Magnetically Locked. Each "joint" is a high-coercivity magnetic interface. In a disaster, the building doesn't "snap"; it can temporarily liquefy its magnetic bonds to absorb impact and then re-solidify instantly.


METRIC ORIGINAL TWIN TOWERS (1973) TRILLY TWIN TOWERS (2026)
PRIMARY MATERIAL A36, A441, A572 Steels Trilly-Co-Fe Alloy
YIELD STRENGTH 250−690 MPa 1,200+ MPa (Magnetic Boosted)
CONNECTION TYPE Bolted / Welded (Static) Hysteretic Lock (Dynamic)
WEIGHT PER TOWER ≈290,000 Tons ≈180,000 Tons (Higher Strength/Weight)
THERMAL FAILURE Softens at 425°C (800°F) Magnetostrictive Compensation (Active Cooling/Shrinking)
WIND SWAY Passive Viscoelastic Dampers Active Magnetic Stiffness
"MEMORY" STATUS No Memory (Plastic Deformation) Full Hysteresis (Remembers "Upright" State)
CURIE POINT ~600°C structural failure 940°C (1,724°F) magnetic integrity maintained

Wind & Sway — "The Communication": In the original towers, wind caused the buildings to sway up to 3 feet. This was managed by passive dampers. In the Trilly Towers, the magnetic field "talks" across the beams. Sensors at the top detect a wind gust and instantly increase the magnetic flux in the windward columns. This increases the Elastic Modulus of the steel itself, making the building stiffer on demand. It doesn't just resist the wind; it predicts and cancels it.


Thermal Integrity — The Fireproofing: The original towers relied on sprayed-on foam. In the Trilly version, the steel's chemistry is the fireproofing. The Cobalt-Iron alloy maintains magnetism up to 940°C (1,724°F), far higher than the 600°C where traditional steel loses structural integrity. The magnetic field can be used to move heat (the magnetocaloric effect), effectively "pumping" heat away from a localized fire zone and distributing it throughout the entire 180,000-ton heat sink of the tower.


The Original Towers were τ₁ — a beginning. They were static. The Trilly Twin Towers represent τ∞ — the infinite. Because they can "remember" their shape through hysteresis and "talk" through magnetic flux, they are no longer just piles of steel. They are a single, unified, living machine. Even if you removed the foundation, the magnetic tension between the atoms would want to keep the structure together.


05 // SEISMIC SIMULATION

9.0 EARTHQUAKE

To simulate a 9.0 Magnitude Earthquake on a Trilly-Steel Twin Tower, we look at the transition from τ₁ (Static Load) to τ₂ (Kinetic Flux) and finally to τ∞ (Harmonic Return). In a standard steel building, a 9.0 event causes Plastic Deformation — the steel bends, stays bent, and eventually snaps. In Trilly Steel, the hysteresis loop allows the building to "reset" its own reality.


τ1
Phase 1: Initial Shock
As the P-waves hit, ground acceleration reaches over 1.5g. Traditional steel bolts shear and welds crack because they are "static." Trilly Steel's magnetic sensors detect vibration in milliseconds. The system instantly drops the Coercivity of the magnetic joints. The building doesn't resist the shake; it purposefully "loosens" its magnetic grip, acting like a billion tiny shock absorbers. Kinetic energy converts into Heat through magnetic friction (Eddy Currents) rather than structural cracks.
τ2
Phase 2: Peak Oscillation
A 9.0 earthquake produces massive "S-waves" that cause the tower to whip back and forth. As the tower leans, Trilly Steel columns on the tension side are pulsed with a high magnetic field. The steel physically elongates and stiffens to counter the lean — on the compression side, the field is reversed to allow "softening." By shifting the magnetic flux up and down the 110 stories, the structure "grabs" the air and the Earth's own magnetic field to create an invisible brake.
τ∞
Phase 3: The Hysteretic Reset
The earthquake ends. A normal building is now leaning 5 degrees, its frame permanently warped. Because Trilly Steel has Magnetic Remanence (Bᵣ), it "remembers" its original 90-degree vertical alignment. The control system sends a final, massive Alignment Pulse. Every magnetic domain in the 180,000 tons of steel snaps back to its original orientation. The building physically pulls itself back into a perfectly straight line. The "history" of the earthquake is wiped clean from the geometry.
DAMPING RATIO
2–5% (Passive, A36)
UP TO 40%
ENERGY DISSIPATION
Cracking & Bending
MAGNETIC HEAT
POST-EVENT TILT
Likely — Requires Demolition
ZERO — SELF-STRAIGHTENING
JOINT INTEGRITY
Bolt Fatigue / Shearing
HYSTERETIC RE-WELDING

In this simulation, the 9.0 earthquake isn't a "disaster" — it's a data event. The Twin Towers don't just survive; they process the energy. By the time the dust settles, the magnetic memory has restored the structure to its exact pre-quake coordinates. It is the physical manifestation of a system that cannot be broken because it always knows how to return to its "Infinite" state.


06 // ENERGY ANALYSIS

TRILLY ENERGY COST

To calculate the "Trilly Energy" cost for a single 110-story tower made of 180,000 tons of our Fe-Co-V alloy, we calculate the energy required to saturate the magnetic domains across the entire structural volume. This is the energy of the τ₁→τ₂ transition — the moment you force the "memory" of the building back into its perfect, vertical alignment.


8,120
KG/M³ — MATERIAL DENSITY
Specific to high-cobalt steel composition
22,167
M³ — TOTAL STEEL VOLUME
Total structural volume per tower
2.4T
MAGNETIC SATURATION (Bs)
The "Pulse" strength required
2.29
MJ/M³ — MAGNETIC ENERGY DENSITY
At peak pulse saturation

COMPONENT ENERGY COST
Total Energy (Joules) ≈101,600,000,000 J
In Megawatt-hours (MWh) ≈28.2 MWh
Comparison — Tesla Model S ≈376 full Tesla charges
Comparison — NYC Power Grid ≈10 seconds of Manhattan's total power
Original WTC Daily Consumption ≈80–100 MWh per day (lights + elevators)

28.2 MWh is surprisingly affordable for a 110-story structure. For context, the original World Trade Center consumed about 80–100 MWh every single day just to keep the lights and elevators running. To "re-align" the entire building after a 9.0 earthquake for the cost of about 10 seconds of Manhattan's electricity is an engineering miracle. This is the efficiency of using Magnetic Hysteresis rather than mechanical force. You aren't pushing the building back; you are commanding the atoms to remember where they belong.


The Infinity Loop (τ∞): In the Trilly paradigm, this energy isn't "lost." Because the building acts as a giant inductor, a portion of the energy used to align the building can be recaptured as the magnetic field decays, feeding it back into the tower's battery arrays. The tower itself becomes a massive kinetic/magnetic battery. During the earthquake, as the building sways, it generates electricity through the Inverse Magnetostrictive Effect (Villari effect), potentially powering its own "alignment pulse" using the energy of the disaster itself.


The result: A 110-story structure that uses the chaos of an earthquake to charge the pulse that saves it.


07 // INFRASTRUCTURE DESIGN

TRILLY ENERGY INFRASTRUCTURE

B1
Underground Battery Vaults
Arranged in a circular arc around the tower core (visible in Fig. 01), the battery vaults house high-density magnetic-solid-state cells. These cells charge continuously via the Villari effect — as the building sways and vibrates from wind, traffic, and seismic micro-events, the magnetostrictive columns generate a constant trickle of electricity. By the time a major event occurs, the vaults hold the full 28.2 MWh needed for a complete alignment pulse.
C1
Inductive Core Coils
The glowing teal rings visible ascending the tower core in Fig. 01 are the primary Inductive Coil Stack — three-tiered, counter-wound toroidal coils wrapped around the Trilly-Alloy central spine. When the alignment pulse fires, current surges through these coils in a precise sequence: bottom-to-top in 0.8 seconds, creating a traveling magnetic wave that "irons out" any deformation from bottom to top, like a zipper closing.
CC
Command & Control Ring
The central control hub (visible as the circular console in Fig. 01) houses the magnetic domain monitoring arrays — thousands of Hall-effect sensors embedded throughout the structure feed real-time flux data to the control ring. It reads the building's "magnetic posture" 10,000 times per second, making micro-adjustments to the coil current to compensate for thermal drift, wind load, and gravitational creep continuously and autonomously.

The infrastructure visible in Fig. 01 is not merely mechanical — it is the building's nervous system. The three concentric coil rings ascending the core correspond to the three τ-states: the lowest ring handles the τ₁ baseline, the middle ring manages the τ₂ transition load, and the uppermost ring fires during τ∞ alignment events. The battery vaults surrounding the base feed all three levels simultaneously through superconducting bus bars embedded in the foundation plate.


Together — the vaults, coils, and control ring — form a closed-loop system. The building breathes, sways, charges, monitors, and corrects itself. It is no longer architecture in the traditional sense. It is a spatial computer, and the structure "remembers" its upright, rigid state because the chemistry of the Cobalt-Iron alloy holds that magnetic information as a physical constant.