On the Fall Solstice or near-abouts in 2025, I visited Eldorado State Park. This park has a trail that is listed in the 60 Hikes within 60 Miles: Denver and Boulder at #34. Like many Spanish-origin names in Colorado, the name "Eldorado" has an anglicized spelling, so it's not "El Dorado". Instead of hiking the Eldorado Canyon Trail, as suggested in the book, I hiked the loop called Rattlesnake Gulch Trail.
My personal glimpse into the first half of the 21st Century for some yet to be known future
Search This Blog
Thursday, December 04, 2025
Trail 34-ish at El Dorado State Park
Tuesday, December 02, 2025
Weight Calculation Tool based on Latitude
Your Weight Changes with Latitude
Your weight changes as you move further or closer to the
Equator on Earth. This is true even if you typically measure your weight
in kilograms.
Your mass is the amount of matter in your
body. This remains constant. However, your weight (the force of gravity acting on your
mass) changes because the Earth's "falling" acceleration due to gravity (g) is not
uniform. This variation is primarily due to two factors:
- The
Earth's Spin (Centrifugal Force): As the Earth rotates, it creates an
outward centrifugal force that partially counteracts gravity. This
force is strongest at the Equator and drops to zero at the Poles, making
you slightly lighter near the Equator.
- The
Earth's Shape (Equatorial Bulge): The Earth is not a perfect sphere. It bulges around the Equator. This means you are physically farther from
the planet's center when standing at 90° latitude than at the Poles. This distance also weakens the gravitational pull.
The combination of these two effects means you will exert
the greatest gravitational force (be the heaviest) at the poles and the least
at the Equator.
You can use Google Maps to find your current latitude and the latitude of your target or destination.
How to Use the Calculator
Use the calculator below to find your true constant mass
and see how your weight (the force) would change if you moved to a new
location:
- Your
Scale Reading: Enter your weight and select your unit (lbs or kg). If you use kg, the tool will automatically
adjust for the standard gravity value that your scale likely uses to calculate your
true mass.
- Current
Latitude: Enter the latitude where you took the measurement.
- Target
Latitude: Enter the latitude of interest (90° for the
Pole or 0° for the Equator).
The tool will then show you your True Constant Mass
(in kg and slugs), your Current Weight (in lbs and Newtons) and your calculated Target Weight at the new
latitude. One additional note is that I previous covered this topic with an Excel spreadsheet tool. This new tool (below) is more accurate than my original spreadsheet because this new tool takes Earth's shape into account.
Weight & Mass Calculator 🌍
Input your weight in either pounds (lbs) or kilograms (kg).
Enter your details and click 'Calculate'.
For information on other tools and topics:
Futhorc Runic Bi-Directional Converter: Turn your message in to First Millennium runes and back! [Try out this rune conversion tool on your own messages.]
Earth's Looming Expiration Date: Why Earth faces an early deadline as Sun's energy output increases. [Idea on how to preserve our planet]
Number Rounding Tool: This the rounding tool that you didn't know you need! Multiple methods of rounding are supported. [Type Your Number and Round it up or down!]
Friday, November 28, 2025
Number Rounding Tool You Might Need
Everyone learns the "Schoolhouse Rule" of rounding. This is where you look at the next digit and if it's 5 or greater, round up. This method (Round Half Up, or 5 always rounds up) works for everyday math, but it introduces a hidden and cumulative problem that is often not considered: upward bias.
In financial, scientific, or engineering calculations involving hundreds of figures, the "5 always rounds up" rule causes you to round up more often than you round down. This subtle bias can compound into a significant error in the final result. Our tool provides professional rounding systems designed specifically to eliminate this problem.
Reducing Bias
These methods are used when the total sum of all figures must be as accurate as possible, minimizing accumulated error.
| Mode | What It Does | Why You Use It |
|---|---|---|
| Round Half Even | When a number is exactly halfway (e.g., 5.5 or 6.5), it rounds to the nearest even digit. | This is Banker's Rounding. By rounding equally to even numbers, it eliminates the upward bias of the schoolhouse method. It's the standard for professional financial and scientific calculations. |
| Stochastic Rounding | Uses random chance to decide whether to round up or down when exactly halfway. | Used in high-precision scientific simulation and modeling to introduce statistical fairness and prevent bias in complex, non-linear calculations. |
Strict Control Over Direction
These modes are used when your calculation must never exceed (or never fall short of) the true value.
| Mode | Rule | Example Use Case |
|---|---|---|
| Round Floor | Always rounds down (towards negative infinity). | Resource Allocation: Calculating how many full containers, shipments, or packages you can create from a given amount, ensuring you never over-count. |
| Round Ceil | Always rounds up (towards positive infinity). | Safety Margins: Calculating how much material to order or capacity you need, ensuring you always have at least the required amount. |
By using this tool, you move beyond simple arithmetic to achieve the precise, mandate-required accuracy necessary for serious data analysis and computation.
Multiple Methods Rounding Tool 🎯
For information on other topics and tools:
Futhorc Runic Bi-Directional Converter: Turn your message in to First Millennium runes and back! [Try out this rune conversion tool on your own messages.]
Earth's Looming Expiration Date: Why Earth faces an early deadline as Sun's energy output increases. [Idea on how to preserve our planet]
The Number Converter Utility: Convert numerals to words and words to numerals! [Type Your Number and Convert it!]
Thursday, November 20, 2025
Colonizing the Universe at Sub-Light Speed
The Ultimate Relativistic Sacrifice
Assuming Faster-Than-Light (FTL) travel is physically
impossible and cryogenic hibernation is unavailable; humanity's expansion into
the cosmos may rely on the extreme physics of time dilation from Special
Relativity aboard some sort of colony ark. While time dilation will allow the
crew to complete a voyage within their lifetime, the journey is an irreversible
commitment that gambles the future of a civilization on a target millions of
light-years away.
The Andromeda Challenge and the Irreversible Loss
- The
Sacrifice: The travelers are not simply leaving home. They are
permanently severing their connection to the Milky Way. When they arrive, 2.5
million years of cosmic, stellar, and biological evolution will have
occurred in their home galaxy. Their families, their culture, and every
trace of the civilization that launched them will be reduced to ancient memories.
- A
Temporal Gap: The voyagers exist in a tiny bubble of compressed time
from which they will step into a universe that is unrecognizable to the
one they left. They will have to pay millions of years of separation for
their mere decades of travel.
The Existential Gamble
The greatest human impact lies in the uncertainty of the
destination. The colony ark, having made the ultimate sacrifice, arrives 2.5
million years later. The pioneers will dependent on finding a habitable world.
- Arrival
on a Dead World: There is no guarantee of success. Target systems that
looked promising via telescopes 2.5 million years ago may have undergone
catastrophic changes. Target stars may have died, planetary orbits
destabilized or life-bearing worlds may have been sterilized by a nearby
supernova. The crew may be forced to settle a barely viable moon or
asteroid, dedicating their compressed lives to the construction of a
fragile habitat.
- The
Psychological Toll: Imagine emerging from a forty-year journey to find
that the sacrifice of millions of years was in vain. Settlement options leave
them desperate and even face slow extinction. The mental fortitude
required for the crew to proceed with establishing a colony under such
bleak conditions will be very a demanding for human endeavor.
Cosmic Expansion and the Event
Horizon
The navigational challenge of intergalactic travel is a
matter of pure survival, where failure means being permanently stranded in the
dark void between galaxies.
1. The Super-Deep Space Trap
The massive target distance requires the ark to compensate
for both the target galaxy’s movement and the expansion of the universe (Hubble
flow) over millions of years.
- Aiming
for the Past: The crew must not aim for where Andromeda is now,
but where cosmological models predict it will be millions of years in the
future.
- Gravitational
Anchor: The ship must execute an instantaneous deceleration precisely
within the gravitational well of the destination galaxy. If the
deceleration occurs even slightly too far out, the surrounding spacetime
expansion could accelerate the ship away from the galaxy before its local
gravity can pull it in, stranding the crew in the empty, super-deep
intergalactic void.
2. Reaching the Cosmological Edge
The concept of colonizing galaxies near the cosmological
event horizon (currently 16 billion light-years away) highlights the final
limit. Galaxies beyond this horizon are already receding faster than light due
to accelerating cosmic expansion and are literally unreachable today, even at 0.999…
c.
- The
Temporal Trap: To reach a galaxy near the horizon, the launch must
occur almost instantaneously on the cosmic scale. If humanity delays too
long, cosmic expansion will push that galaxy irrevocably beyond our reach,
forever confining future generations to our local galactic neighborhood.
The Enduring Drive: A Galactic Legacy
Despite the risks and the terrifying finality of the
journey, the impetus for expansion remains. We have an innate and evolutionary
imperative to survive and propagate.
- Successive
Generations: If a colony succeeds in Andromeda, its primary goal is
not to thrive, but to replicate the mission. The next generation of
settlers will build their own relativistic arks, pushing further into the
Laniakea Supercluster, driven by the knowledge that their future depends
on finding and securing more footholds in the cosmos.
- A
Galactic Civilization: Each new colony, whether on an Earth-like world
or in a sealed dome on a cold moon, becomes a new seed of humanity,
creating a truly scattered, time-dilated galactic civilization whose
survival is secured not by technology alone, but by the extraordinary
sacrifice and unyielding courage of the original voyagers.
The Unavoidable Horizon and the Next Step
Such a relativistic colony ark would be more than just a
ship. It will be a declaration of humanity's unyielding commitment to existence
that must be secured regardless to possible costs. This colonization model,
constrained by the immutable laws of physics (the speed of light and the
accelerating expansion of the universe) forces us to recognize a sobering truth.
Our window for becoming a truly galactic civilization is finite and closing.
The greatest challenge is not merely building the next ark,
but cultivating the societal will to invest in such a millennia-spanning
gamble. Before the first interstellar journey can even begin, we must achieve a
few critical milestones:
- Establish
a Self-Sufficient Solar System: We must first master the art of
survival away from Earth. Settling the Outer Solar System, as previously
discussed, is the required engineering training ground, guaranteeing that
the seed of humanity does not perish with the inevitable death of the Sun.
- Achieve
Kardashev Type II Capability: The energy requirements for a sustained 0.999…
c voyage is so vast that they demand harnessing the power output of
an entire star. This requires a civilization with an unprecedented scale
of infrastructure and coordination.
- Embrace
the Temporal Sacrifice: The success of the journey rests on the
psychological endurance of the travelers and the emotional maturity of the
home world to accept the irreversible loss.
The final question for our species is no longer "Can we
reach the stars?" but "Are we worthy of them?" Our willingness
to make the ultimate sacrifice and to gamble millions of years of our history
for the chance of a single new beginning will define whether humanity remains a
fragile, single-star species or evolves into an enduring, time-scattered intergalactic
legacy. The time to prepare for this final, defining endeavor begins now,
before the accelerating expansion of the cosmos locks our future out of reach
forever.
What Do We Do Now?
The path forward is clear. We need to Master our local region
in order to plan for the galactic expanse. We should relentlessly pursue
advances in fusion power, closed-loop life support and extreme deep-space
navigation. We can act knowing that every technological victory at the solar
scale moves us one step closer to making the ultimate and irreversible jump to
the stars.
Also see:
Wednesday, November 12, 2025
Trail 60 - Great Views from Eagle Wind Trail of Rabbit Mountain
One spring morning in 2017, Allie and I hiked the Rabbit Mountain trail. It was a beautiful hike. The trail itself was damaged, apparently due to a combination of overuse and recent rains. As such, there were more than a few spots that required special navigation to avoid losing a shoe to the mud. The trail itself is a fairly straightforward loop without connectors or spurs.
Rabbit Mountain's trail, called Eagle Wind Trail, is Hike #60 mentioned in 60 Hikes within 60 Miles from Denver and Boulder. It's a great location for open views of the Rocky Mountains, the foothills and the Great Plains beyond.

















